Math

Problem 63701

Calculate the range and standard deviation of a data set. Fill in the table with xx, xμx-\mu, and (xμ)2(x-\mu)^{2}, rounding to four decimal places.

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Problem 63702

At a party with 130 students, 35 speak French, 50 speak English, 28 speak only English, and 13 speak only French. Find the probability a randomly selected student speaks both languages.

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Problem 63703

Find P(B)P(B) given P(A)=0.3P(A)=0.3, P(A OR B)=0.63P(A \text{ OR } B)=0.63, and P(A AND B)=0.17P(A \text{ AND } B)=0.17.

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Problem 63704

Factor completely: x3y+12x2y2+27xy3x^{3} y + 12 x^{2} y^{2} + 27 x y^{3}

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Problem 63705

A student drops a marble from a 180 cm180 \mathrm{~cm} ramp, reaching 80.0 cm/s80.0 \mathrm{~cm/s}. How long to reach the bottom?

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Problem 63706

In a weight-lifting contest, the winner bench-pressed 400 lbs. Other competitors lifted at least 23 lbs less.
a. Write the inequality for their weights: x377x \leq 377. b. Can someone lift 379 lbs? No, 379 lbs is not a solution to the inequality. Explain.

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Problem 63707

Factor completely: 3x221x+303 x^{2}-21 x+30

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Problem 63708

Find the slope between the points (-4,6) and (6,6). Then find the slope between (-3,2) and (-3,-9).

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Problem 63709

Expressions with Irrational Numbers: Tutorial Part C Find the square roots of the two factors of 36\sqrt{36} and multiply them. \square
Space used (includes formatting): 0/300000 / 30000 Submit
Part D
Is this answer the same as the answer you would get from directly finding the square root of 36 ? What does this finding show? \square

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Problem 63710

ASK YOUR TEACHER
A contestant in a winter games event pushes a 41.0kg41.0-\mathrm{kg} block of ice across a frozen lake with a force of 25 N at 28.028.0^{\circ} below the horizontal as shown in Figure (a) below, and it moves with an acceleration of 0.540 m/s20.540 \mathrm{~m} / \mathrm{s}^{2} to the right. (a) (b) (a) What is the normal force exerted by the lake surface on the block of ice? \square N surface on the block of ite? \square Tutorial

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Problem 63711

El Sr. Reyes preparó 4 bandejas de pastelitos para su clase. Cada bandeja tiene 12 pastelitos. Si en la clase del Sr. Reyes hay 24 estudiantes, ¿cuántos pastelitos le tocarán a cada estudiante?

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Problem 63712

4. Given f(x)=3x2+17f(x)=3 x^{2}+17, find f(5)f(-5)

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Problem 63713

? Question Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the expressions with their simplified forms.
Tiles 12\frac{1}{2} 535 \sqrt{3} 252 \sqrt{5} 454 \sqrt{5} 4
Pairs 28\sqrt{2} \cdot \sqrt{8} \qquad 80\sqrt{80} 520\frac{\sqrt{5}}{\sqrt{20}} \qquad \square \square 20\sqrt{20} \qquad

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Problem 63714

Tiles 535 \sqrt{3} 252 \sqrt{5}
Pairs 288052020\begin{array}{cc} \sqrt{2} \cdot \sqrt{8} & \longrightarrow \\ \sqrt{80} & \longrightarrow \\ \frac{\sqrt{5}}{\sqrt{20}} & \longrightarrow \\ \sqrt{20} \end{array}

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Problem 63715

Part A 3π+2π33 \pi+\frac{2 \pi}{3}
Space used (includes formatting): 0/300000 / 30000 Submit
Part B 35+1553 \sqrt{5}+15 \sqrt{5}

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Problem 63716

Perform the operation and combine to one fraction. 2x+1x+5xx+9\frac{2 x+1}{x}+\frac{5 x}{x+9}

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Problem 63717

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer. \square

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Problem 63718

6of15Next(xMauricehad 6 of 15 Next (x Maurice had 23.72 in his checking account, then a debit of 48.39andanotherdebitof48.39 and another debit of 82.16 were processed for automatic payments. The bank also assessed a 12foreachofthesetwoautomaticpaymentssinceMauricehadinsufficientfundsinhischeckingaccount.Next,Mauricedeposited12 for each of these two automatic payments since Maurice had insufficient funds in his checking account. Next, Maurice deposited 238 into his checking account. What is the current balance for Maurice's checking account? Basic 0 7 4 5 8 00 1 2 3 X 9 9 = + -- < X X • y * X X % ° = > +1 8 三 ντ X 69 口

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Problem 63719

Expressions with Irrational Numbers: Tutorial ? Question Drag each expression to the correct location. Estimate the value of each irrational expression to the nearest integer. 343+293202122+32523π3104322236\begin{array}{lllll} -3 \sqrt{4} \cdot \sqrt{3}+2 \sqrt{9} \cdot \sqrt{3} & \frac{-\sqrt{20}}{-\sqrt{21}} & \frac{2 \sqrt{2}+3 \sqrt{2}}{5 \sqrt{2}} & -\frac{3 \pi}{3 \sqrt{10}} & 4 \cdot 3 \sqrt{2}-2 \sqrt{2} \cdot \sqrt{36} \end{array} 3π310-\frac{3 \pi}{3 \sqrt{10}}

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Problem 63720

Which representation has the same rate of change of yy with respect to xx as the equation x+x+ 2y=62 y=6 ? (A) y=12x+2y=-\frac{1}{2} x+2

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Problem 63721

SUbmit Test Reader
Drag each expression to the correct location on the number line. Not all expressions will be used. Evaluate the expressions. Then, place the expressions on the corresponding locations on the number line. 57+π5π5+257619π5.55+23\begin{array}{lllll} \frac{5}{7}+\pi & \frac{5 \pi}{5}+2 & 5 \sqrt{7}-6 & \frac{19}{\pi}-5.5 & \sqrt{5}+2 \sqrt{3} \end{array}

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Problem 63722

Darin's great aunt lives in a retirement home. Darin visits her to help plant green beans in a garden. So far they have planted 6 rows with 72 green bean stalks. They plant the same number of green bean stalks in each row.
What is the constant of proportionality in this relationship? 6 12 72 78

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Problem 63723

Write the coordinates of the vertices after a translation 2 units left. K(,)K^{\prime}(\square, \square)

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Problem 63724

The premium for 3-5 day shipping is 20%20 \%. What is the cost to ship 2,000 lbs of goods from Chicago to Atlanta ( 700 miles) using 3-5 day shipping? \begin{tabular}{|c|c|c|c|c|c|} \hline Distance (miles) & 02000-200 & 201400201-400 & 401600401-600 & 601800601-800 & 8011000801-1000 \\ \hline Price per 100 lbs & $100\$ 100 & $120\$ 120 & $200\$ 200 & $240\$ 240 & $400\$ 400 \\ \hline \end{tabular} $[?]\$[?]

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Problem 63725

6) white (45x)(2x16)(4-5 x)-(2 x-16)

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Problem 63726

4. mP=mQ=mR=\begin{array}{l} m \angle P= \\ m \angle Q= \\ m \angle R= \end{array}

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Problem 63727

Rewrite in simplest terms: 9a2(9a5)-9 a-2(9 a-5)
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 63728

15. Higher Order Thinking Explain whether 8t3y4t8 t-3 y-4 t is equivalent to 7t+(3t)3y7 t+(-3 t)-3 y.

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Problem 63729

Question Show Examples
Answer the questions below about Line 1 and Line 2 shown below. (6+7)+36+(7+3)\begin{array}{l} (6+7)+3 \\ 6+(7+3) \end{array} Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the (6+7)+3(6+7)+3 equals \square +3 which equals \square 7. 6+(7+3)6+(7+3) equals 6+6+ \qquad which equals \square .

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Problem 63730

2. A 30-1b cocker spaniel is to get a ketamine and diazepam induction IV, and the dose is 0.025 mL/lb0.025 \mathrm{~mL} / \mathrm{lb} for each. How much ketamine and diazepam will you draw up?

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Problem 63731

15. Construct Arguments A baseball team gets 3 outs for each inning it comes up to bat. So far this season, Silvio's team has batted in 45 innings, nn, and has made 135 outs, tt. What is the dependent variable? Explain.

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Problem 63732

4. A 50lb50-\mathrm{lb} dog requires a Carprofen dose of 2.2mg/kg2.2 \mathrm{mg} / \mathrm{kg} BID for 7 days. The drug is available in 25mg,75mg25 \mathrm{mg}, 75 \mathrm{mg}, and 100 mg chewable tablets. What size tablet should be used and how many tablets must be dispensed?

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Problem 63733

as default
Solve the problem. Hint: remember to convert feet to yards (3 feet equals 1 yard) 3) The Smith family plans to carpet their new family room, which is 30 feet long and 21 feet wide. The carpeting costs $13\$ 13 per square yard. How many square yards will the family need and what will be the total cost for the carpeting? A) 70ft2;$273070 \mathrm{ft} 2 ; \$ 2730 B) 70yd2;$91070 \mathrm{yd} 2 ; \$ 910 C) 17yd2;$22117 \mathrm{yd} 2 ; \$ 221 D) 630yd2;$8190630 \mathrm{yd} 2 ; \$ 8190 Question 4

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Problem 63734

The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specifically:
- if it is sunny on one day, it will be sunny the next day 13\frac{1}{3} of the time, and be cloudy the next day 23\frac{2}{3} of the time - if it is cloudy on one day, it will be sunny the next day 23\frac{2}{3} of the time, and be cloudy the next day 16\frac{1}{6} of the time - if it is rainy on one day, it will be sunny the next day 16\frac{1}{6} of the time, and be cloudy the next day 13\frac{1}{3} of the time
Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system.
Use your matrix to determine the probability that it will rain on Thursday if it is sunny on Sunday.
P=[000000000]P=\left[\begin{array}{lll} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}\right]
Probability of rain on Thursday =0=0

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Problem 63735

2.5
Use the equality test for fractions to determine if the fractions are equal.  15) 4?226\text { 15) } \frac{4 ? 22}{6} A) Yes B) No No answer text provided. No answer text provided.

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Problem 63736

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER
53 What is the absolute value function represented by the graph below? Give your answer in vertex form (y=axh+k)(y=a|x-h|+k)

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Problem 63737

Which of the following are general properties of bases in aqueous solution? conduct electricity and turn litmus blue turn litmus red and accept a proton feel slippery and react with Au to produce H2( g)\mathrm{H}_{2(\mathrm{~g})} feel slippery and increase [H3O+]\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]

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Problem 63738

Convert. 22) 7 mL=7 \mathrm{~mL}= \qquad L A) 0.007 L B) 7.0 L C) 700 L D) 0.07 L

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Problem 63739

29) Perform the operations indicated 18.85+71.23+13.06318.85+71.23+13.063 A) 103.143 B) 104.243 C) 105.153 D) 104.143

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Problem 63740

Ms. Driva Reck drove from her home to a service station at 48 km/h48 \mathrm{~km} / \mathrm{h}. She returned home by bicycle at 16 km/h16 \mathrm{~km} / \mathrm{h}. The entire trip took 4 hours. How far was the service station from Ms. Reck's home?

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Problem 63741

Question 34
Divide. 34) 5.3346/1.025.3346 / 1.02 A) 0.19578 B) 0.5783 C) 52.3 D) 5.23

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Problem 63742

How would you describe the opposite of a number in your own words?

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Problem 63743

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=x2+6xy=-x^{2}+6 x

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Problem 63744

f(x)=2x3+15x2+4x21f(x)=2 x^{3}+15 x^{2}+4 x-21
Identify the yy-intercept of the function. 21-21
Identify all real roots. Use commas to separate \square

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Problem 63745

Henry bought 56\frac{5}{6} pound of roasted almonds for $5\$ 5. He wants to know the price per pound.
What is the price per pound?

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Problem 63746

Solve the system of linear equations by elimination. x+y=22x+7y=9\begin{array}{l} x+y=2 \\ 2 x+7 y=9 \end{array}

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Problem 63747

CRITICAL THINKING Tell whether the statement is always, sometimes, or never true. The absolute value of a negative number is positive.
The statement is \square always true.
Explain.

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Problem 63748

Jasmine paid $10\$ 10 for 58\frac{5}{8} yard of fabric to make a pillow. She wants to know the price of 4 yards of the same fabric so that she can make a quilt.
What is the price per yard of the fabric?

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Problem 63749

Solve for vv. v5=75\frac{v}{5}=75
Simplify your answer as much as possible.

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Problem 63750

Solve for vv. v5=75\frac{v}{5}=75
Simplify your answer as much as possible. v=v=

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Problem 63751

Find the slope and the yy-intercept of the line with the following equation. y=67x6y=\frac{6}{7} x-6

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Problem 63752

ement of the progress bor moy be uneven because questions can be worth more or less (including zero) depending A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 6565^{\circ} angle with a short vertical support.
What is the length xx of a diagonal support, to the nearest tenth of a foot? xx \approx \qquad feet
The solution is

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Problem 63753

Mr. Harris owns a bubble machine that he uses for different school events. The bubble solution contains 34\frac{3}{4} cup of corn starch for every 2 cups of water.
What is the rate in cups of corn starch per cup of water?
The rate is of water. \begin{tabular}{|l|} \hline?? \\ \hline38\frac{3}{8} \\ \hline23\frac{2}{3} \\ \hline 1121 \frac{1}{2} \\ \hline 2232 \frac{2}{3} \\ \hline \end{tabular}

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Problem 63754

The price of dried apricots is $4\$ 4 for every 23\frac{2}{3} pound. What is the price per pound of the dried apricots? \ \square$ per lb

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Problem 63755

Determine whether the equation is quadratic. 3x+2=03 x+2=0

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Problem 63756

The tape diagram models the lengths of two snowboarding trails. The combined length of the trails is 2000 meters. How long is each trail? Beginner Trail \square Expert Trail \square
The beginner trail is \square meters.
The expert trail is \square meters.

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Problem 63757

Ready Understand Percent Concepts - Quiz - Level F
Keesha keeps track of the fiber she eats to make sure she gets enough each day. Her breakfast contains 8 grams of fiber and her recommended daily amount is 25 grams per day. Keesha wants to know what percent of her daily amount of fiber she has at breakfast.
Complete the table to show an equivalent ratio where the total amount is 100 grams. \begin{tabular}{|c|c|c|} \hline Amount at Breakfast (g) & 8 & \\ \hline Total Amount (g) & 25 & 100 \\ \hline \end{tabular}

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Problem 63758

Graph the equation using the slope and the yy-intercept. y=95x6y=-\frac{9}{5} x-6

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Problem 63759

The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administration building. The engineer will collect data on different variables related to the intersection each day for ten days. Of the following variables, which will be measured using continuous data?
A The number of cars passing through the intersection in one hour
B The number of pedestrians crossing the intersection in one hour (C) The number of bicyclists crossing the intersection in one hour (D) The number of food trucks that park within four blocks of the intersection (E) The number of minutes for a car to get from the intersection to the administration building

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Problem 63760

(12.) 2.5(3+4n+8)-2.5(-3+4 n+8)

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Problem 63761

Find the missing side. Round to the nearest tenth. 15) 17)

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Problem 63762

Solve for the value of qq.

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Problem 63763

Evaluate. Write your answers as fractions. 252=(13)3=\begin{array}{r} \frac{-2}{5^{2}}= \\ \left(-\frac{1}{3}\right)^{3}= \end{array}

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Problem 63764

The graph shows g(x)g(x), which is a translation of f(x)=x2f(x)=x^{2}. Write the function rule for g(x)g(x).
Write your answer in the form a(xh)2+k\mathrm{a}(\mathrm{x}-\mathrm{h})^{2}+\mathrm{k}, where a,h\mathrm{a}, \mathrm{h}, and k are integers or simplified fractions. g(x)=g(x)=

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Problem 63765

95n1910=1-\frac{9}{5} n-\frac{19}{10}=-1

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Problem 63766

Factor the polynomial below. 64a3+2764 a^{3}+27

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Problem 63767

Consider quadrilateral PQRSP Q R S below.
Note that PQRSP Q R S has vertices P(1,3),Q(4,1),R(1,7)P(-1,3), Q(4,1), R(1,-7), and S(4,5)S(-4,-5). Complete the following to determine if PQRSP Q R S is a parallelogram. (a) Find the length of QR\overline{Q R} and the length of PS\overline{P S}.
Give exact answers (not decimal approximations).
Length of QR\overline{Q R} : \square
Length of PS\overline{P S} : \square (b) Find the length of RS\overline{R S} and the length of PQ\overline{P Q}. Give exact answers (not decimal approximations) y
Length of RS\overline{R S} : \square
Length of PQ\overline{P Q} : \square (c) From parts (a) and (b), what can we conclude? The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though the other two sides are not congruent. The quadrilateral is not a parallelogram because it has a pair of opposite sides that are not congruent. The quadrilateral is a parallelogram because it has two pairs of opposite sides that are congruent. It cannot be determined if the quadrilateral is a parallelogram.

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Problem 63768

82. Write an equation of a line in slope-intercept form that is perpendicular to the line x5y=20x-5 y=20.

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Problem 63769

TEK 4.3F Ayala's class, 26\frac{2}{6} of the students prefer kiwis and 36\frac{3}{6} of the students prefer angos. Ayala finds that 56\frac{5}{6} of the students in her class prefer kiwis and mangos. nich statement best describes 56\frac{5}{6} as the sum?
It is reasonable because 12+12=1\frac{1}{2}+\frac{1}{2}=1. It is reasonable because 0+12=120+\frac{1}{2}=\frac{1}{2} It is not reasonable because 0+12=120+\frac{1}{2}=\frac{1}{2} It is not reasonable because 12+12=1\frac{1}{2}+\frac{1}{2}=1

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Problem 63770

10. Une grande roue de 20 m de rayon comporte 10 nacelles équidistantes sur sa circonférence. Suppose que les nacelles sont numérotées dans l'ordre. Quelle distance y a-t-il entre la première et la cinquième, en ligne droite?

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Problem 63771

(2) xex2dx\int x e^{x^{2}} d x

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Problem 63772

Results of Dart Competition \begin{tabular}{|l|c|c|c|c|c|} \hline Number of bull's eyes & 6 & 7 & 8 & 9 & 10 \\ \hline Number of players & 2 & 3 & 4 & 0 & 1 \\ \hline \end{tabular}
Source: Data from dart competition 5: Draw a line plot using the data in the table. Online Workbook AC Chapter 18 Practice 2

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Problem 63773

れ 5.2.3 Qulz: Polynomial Functions
Questlon 3 of 10 Which of the following is most likely to be a relative maximum for this graph? A. (3,0)(3,0) B. (2,4)(2,-4) C. (1,8)(-1,8) D. (2,0)(-2,0)

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Problem 63774

F24 7.7 Probability Alyssa Villa 12/16/249:54 PM Question 5, 7.7.39 HW Score: 28.57%,428.57 \%, 4 of 14 points Points: 0 of 1 Save
The table gives the results of a survey of freshmen from the class of 2006 at a number of colleges and universities. Number of Colleges Applied To Percent (as a decimal) Using the percents as probabilities, find the probability of the event for a randomly selected student: the student applied to more than 3 colleges.
The probability that a randomly selected student applied to more than 3 colleges is

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Problem 63775

Given P(x)=3x58x4+74x3190x225x+250P(x)=3 x^{5}-8 x^{4}+74 x^{3}-190 x^{2}-25 x+250, and that 5i5 i is a zero, write PP in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=P(x)=. P(x)=(x+5i)(x5i)()()P(x)=(x+5 i)(x-5 i)(\square)(\square) syntax error.

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Problem 63776

Which of these bonds could be triple-tax free? federal bonds corporate bonds municipal bonds all of the above none of the above

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Problem 63777

Answer the questions. Use the data in the line plot.
6. What is the mode of the set of data?

6, 7, 8 first
7. What is the median of the set of data?
8. What is the mean of the set of data? How is the data spread around the mean?

Complete. Use the data in the table. The table shows the distances Wayne jogged on 5 days. Distances Wayne Jogged on Five Days \begin{tabular}{|l|c|} \hline Day & Distance jogged (km) \\ \hline Monday & 3 \\ \hline Tuesday & 2 \\ \hline Wednesday & 4 \\ \hline Thursday & 5 \\ \hline Friday & 6 \\ \hline \end{tabular} Source: Wayne

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Problem 63778

An OB/GYN physician in private practice knows her malpractice insurance will be $75,000\$ 75,000 and is due in one year. How much should she deposit into an account each month if that account has an annual rate of 4.0%4.0 \% compounded monthly and she wishes to pay it in full knowing that the insurance company drops the price by 2%2 \% if paid in full? Round your answer to two decimal places. Do not include the $\$ sign in your answer. Hint: Lower the price by 2%2 \% as she is planning on paying in full. Your Answer:

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Problem 63779

10/10
A quadratic is reflected down when the value of aa is negative.
TRUE FALSE

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Problem 63780

sin2x+sin2y=2sin(x+y)cos(xy)\sin 2x + \sin 2y = 2 \sin (x+y) \cos (x-y) Prove this using only the double angle formula, without using the sum-to-product identities.

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Problem 63781

5) Summary
1. AVERAGE MONTHLY INCOME
2. SAVINGS
3. TOTAL MONTHLY EXPENSES
4. TOTAL MONTHLY CONTRIBUTIONS TOTAL AMOUNTS 2+3+42+3+4 5) AMOUNT AVAILABE/ surplus or deficit 2) 3) 4) 1) \qquad 7 ar. 24 \begin{tabular}{l} 149.181.233.14149.18 \quad 1.233 .14 \\ \hline 24 \end{tabular} \qquad 22956.53-22956.53 5) b) Is Daria's budget in a deficit position?

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Problem 63782

A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A group of 80 people with a history of skin irritation volunteered for the study. Of the 80 people, 40 were randomly assigned the medicated lotion, and the remaining 40 were given a nonmedicated lotion. At the end of one month, the skin irritation had cleared for 36 people ( 90 percent) using the medicated lotion and 16 people ( 40 percent) using the nonmedicated lotion. Analysis of the results showed the difference was statistically significant. What can be concluded from the experiment? A) Treating the skin irritation with the medicated lotion will cause the irritation to clear. (B) There was no difference in the effectiveness of the two lotions because 28 people still had the skin irritation. (C) Any conclusion is problematic because the participants were volunteers and were not randomly selected from the population.
D There is enough evidence to conclude that the medicated lotion is more effective than the nonmedicated lotion in treating the skin irritation.

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Problem 63783

NOM : \qquad GROUPE:
Les résultats
1. Inscrivez les résultats obtenus dans le tableau 1. puis calculez la variation de la température de l'eau.

TABLEAU 1 Resultats du laboratoire
L'analyse des résultats
2. En comparant les variations de température de l'eau en présence des trois métaux, que déduisez-vous? On nemargue que les varictions de température sonk similoines et poche metrick. \qquad
3. Pour chacun des trois métaux, déterminez la quantité de chaleur absorbée par l'eau. C=4,19 de leque Q=mc.4t.\begin{array}{l} C=4,19 \text { de leque } \\ Q=m c .4 t . \end{array}

Aluminivm: G=(18,28 g)(4,19)(3C)=230 kJG=(18,28 \mathrm{~g})(4,19)\left(3^{\circ} \mathrm{C}\right)=230 \mathrm{~kJ}
Cuture: Q=(57,059)(419)(4C)=956 kJQ=(57,059)(419)\left(4^{\circ} \mathrm{C}\right)=956 \mathrm{~kJ}
Laiton:  Laiton: Q(53,78 g)(4,19)(3C)=676 kJ\text { Laiton: } Q(53,78 \mathrm{~g})(4,19)\left(3^{\circ} \mathrm{C}\right)=676 \mathrm{~kJ}
Réponse: \qquad Aluminium: 230 kJ Cuive: 956 kJ Lauton: 676 kJ QUANTUM Chimie • Chapitre 3 • Section 3.3

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Problem 63784

Order the following expressions from least to greatest.
LEAST 55%55 \% of 180 300%300 \% of 26

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Problem 63785

Change each of the following to a radical, and then evaluate each power without using a calculator. Justify your answer. B). (916)32\left(\frac{9}{16}\right)^{\frac{3}{2}}

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Problem 63786

1 Given that the radius of the Ferris wheel planned for Alphapark is 70 m and that θ\theta represents the angle measured anticlockwise from the xx-axis, find all thelangles for which the pod P is: a a distance of 30 m from the xx-axis b a distance of 20 m to the right of the yy-axis. 2 a Solve the following equations. i sinθ1=cosθ1\sin \theta_{1}=\cos \theta_{1} for 0θ13600^{\circ} \leq \theta_{1} \leq 360^{\circ} ii sinθ2=0.8\sin \theta_{2}=0.8 for 0θ23600^{\circ} \leq \theta_{2} \leq 360^{\circ} iii cosθ3=0.1\cos \theta_{3}=-0.1 for 0θ33600^{\circ} \leq \theta_{3} \leq 360^{\circ} b Hence find the coordinates of the pod on the Alphapark Ferris wheel for each value of θ1,θ2\theta_{1}, \theta_{2} and θ3\theta_{3} found in part aa.
3 Jakub models the average monthly temperature TT degrees Celsius in Warsaw with the function T=11cos(30t)+7.5T=-11 \cos (30 t)+7.5 on the domain 0t110 \leq t \leq 11. tt is time measured in months, with T(0)T(0) representing the average temperature in January. a Predict the average temperature in May. b Predict when the average temperature would be zero. 4 Zuzanna models the depth DD metres of sea water in a harbour hh hours after midnight with the function D=1.8sin(30h)+12.3D=1.8 \sin (30 h)+12.3. a Predict the depth of water in the harbour at 5.30 am . b Predict when the depth of water in the harbour will be 10.9 m .

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Problem 63787

4 Fill in the Blank 1 point Simplify the expression by filling in the blank. 5xy20y+x+y20y\frac{5 x-y}{20 y}+\frac{x+y}{20 y} type your answer... / type your answer...

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Problem 63788

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a tt-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.
Find the endpoints of the tt-distribution with 5%5 \% beyond them in each tail if the samples have sizes n1=8n_{1}=8 and n2=10n_{2}=10. Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places. degrees of freedom = \square endpoints =±i= \pm \mathbf{i}

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Problem 63789

5. A number xx is three less than twice yy. When you add xx multiplied by 4 and yy, the sum is six. What are the values of xx and yy ?
Equation 1: \qquad
Equation 2: \qquad

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Problem 63790

f) cos4θsin4θ=12sin2θ\cos ^{4} \theta-\sin ^{4} \theta=1-2 \sin ^{2} \theta

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Problem 63791

d) blogbx=b^{\log _{b} x}=

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Problem 63792

Question
Fill in the parts-whole model for the following equation. (7x2+12x2)(10x2+5x8)=()\left(-7 x^{2}+12 x-2\right)-\left(-10 x^{2}+5 x-8\right)=(\quad) \square

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Problem 63793

a) A factory makes 3types of products P1,P2,P3P_{1}, P_{2}, P_{3}. The factory needs 5 units of volume to store one unit of P1,3.5P_{1}, 3.5 units of volume to store one unit of P2,4.2P_{2}, 4.2 units of volume to store one unit of P3P_{3}. The factory uses 3 hours of manpower to make 1 unit of P1,4P_{1}, 4 hours of manpower to make 1 unit of P2,6P_{2}, 6 hours of manpower to make 1 unit of P3P_{3} It sells 1 unit of P1P_{1} at 450 F,1450 \mathrm{~F}, 1 unit of P2P_{2} at 620 F,1620 \mathrm{~F}, 1 unit of P3P_{3} at 780 F . The factory has only 40 units of stock volume, it cannot pay over 20 hours of manpower. Formulate it as the optimization LPP. b) What is difference between TRANSPORTATION PROBLEM and ASSIGNMENT PROBLEM? c) What are the steps in decision marking process? d) Find the maximum of f(x,y)=17x+15yf(x, y)=17 x+15 y 804x+2yy4+xx8+yx+y40x0y0\begin{array}{l} 80 \leq 4 x+2 y \\ y \leq 4+x \\ x \leq 8+y \\ x+y \leq 40 \\ x \geq 0 \\ y \geq 0 \end{array}

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Problem 63794

ve the following equation for dd. Be sure to take into account whether a letter QR=8d\frac{Q}{R}=\frac{8}{d}

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Problem 63795

5.) If I decrease a number by 62%62 \%, what %\% do you need to apply to the result to get back to your original number?

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Problem 63796

(2) c+12=48c+\frac{1}{2}=\frac{4}{8}

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Problem 63797

SITUATION COMPLEXE Koffi est un grand cultivateur de la ville d'Abengourou. Il utilise une charrette pour ramener ses récoltes à la maison. La charrette comporte deux roues dotées chacune de rayons fait en barres de fer par un soudeur comme l'indique la figure ci -- contre. Il voudrait que cette charrette puisse supporter des charges beaucoup plus importantes. Sur ce, son ami Kouman, professeur de MATHS au lycée Moderne d'Abengourou lui
conseille de refaire les roues de sorte que l'angle α\alpha \in ]0; π3\frac{\pi}{3} [ entre deux rayons successifs vérifie la relation : 3cos2α+sin2α=1\sqrt{3}\cos{2\alpha} + \sin{2\alpha} = 1.
Etant donné que ni Koffi, ni son soudeur n'a de connaissances en Mathématiques, il sollicite son fils Tano, votre camarade de classe pour déterminer le nombre de rayons qu'il faudra avoir sur chaque nouvelle roue. En utilisant votre connaissance mathématique au programme, Aidez votre camarade à trouver une solution au problème de son père.

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Problem 63798

Rewrite the expression as a product of two binomials. 2x(x6)+6(x6)-2 x(-x-6)+6(-x-6)

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Problem 63799

2. Find the derivative dy/dxd y / d x of y=23xy=\sqrt{2-3 x} using the definition of the derivative.

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Problem 63800

Think about the following relation: {(3,0),(5,8),(3,6),(3,8)\{(3,0),(5,8),(3,6),(-3,8) What is the domain of the relation? \{ \square \} What is the range of the relation? \{ \square \} Add Work
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