- 10. On a physical fitness test middle school boys are awarded one point for each push-up they can do, and a point for each sit-up. National results showed that boys average 18 pushups with a standard deviation of 4 push-ups, and 34 sit-ups with standard deviation 11 . The mean of their combined (total) scores was therefore 18+34=52 points. What is the standard deviation of their combined scores?
A) 5.3
B) 11.7
C) 15
D) 137
E) It cannot be determined 11. Traffic accidents Police reports about the traffic accidents they investigated last year indicated that 40% of the accidents involved speeding, 25% involved alcohol, and 10% involved both risk factors.
a. What is the probability that an accident
b. Do these two risk factors appear to be involved neither alcohol nor speed? independent? Explain.
uestion 34 (2 points)
A quadratic function has an equation that can be written in the form f(x)=a(x−H(x− s). The graph of the function has x-intercepts at (−4,0) and (2,0) and passes through the point (−2,−8). Write the equation of the function.
What are the solutions to 100x2−1=0 ?
Use the keypad to enter your answers in the boxes.
Find more symbols by using the drop-down arrow at the top of the keypad. The solutions to the quadratic equation are x=□ and x=□
Solve using the quadratic formula.
k2−k−4=0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
k=□ or k=□
Submit
The table shows the test scores of some students in a class.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline Score & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline Frequency & 8 & 4 & 3 & 9 & 6 & 7 \\
\hline
\end{tabular} Which test score was the least common?
Solve using the quadratic formula.
−2t2+9t+7=0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
t=□ or t=□
How many moles of aspirin ((C0H8O4) are in 9.50×1025 molecules of aspirin? Solution
Step 1. Write the given quantity and the desired quantity.
Given: 9.50×1025 molecules of aspirin, Desired: ? mol of aspirin
Step 2. Write the two conversion factors from equality between the given and the desired quantity.
1mol6.022×1023 particles and 6.022×1023 particles 1mol Step 3. Multiply the given quantity with the conversion factor that cancels the given unit and leaves the desired unit in the answer.
9.50×1025 molecules C9H8O4×6.022×1023 molecules C9H8O41molC9H8O4=158molC9H8O4
Course: Finite Math 4th Period Use the given right triangle to find ratios, in reduced form, for sinA,cosA, and tanA. Enter the ratios in reduced form:
sinAcosAtanA=5/13=5/12/13=5/12
Suppose that 3 adults have been tested for COVID-19. Assume that the success event is that the individual's test is positive. Also, consider the following snippet from MegaStat output: Binomial distribution
?0.351np
\begin{tabular}{rr}
X & P(X) \\
\hline 0 & 0.273359 \\
1 & ? \\
2 & 0.239872 \\
3 & 0.043244 \\
\hline & 1.00000
\end{tabular}
? expected value
? variance
? standard deviation 17. The mean (μ) is equal to
A) 1.053
B) 0.683397
C) 0.826678
D) 1.947 18. The standard deviation (σ) is equal to
A) 0.826678
B) 1.947
C) 1.053
D) 0.683397 19. The probability that at least one adult are tested positive for COVID-19 is equal to ...
A) 0.956756
B) 0.273359
C) 0.726641
D) 0.716884 20. The probability that less than one adult are tested positive for COVID-19 is equal to ...
A) 0.273359
B) 0.726641
C) 0.716884
D) 0.283116 21. The probability of failure is equal to
A) 0
B) 1
C) 0.649
D) 0.351 22. The average number of pounds of meat that a person consumes per year is 94.5 kg . Assume that the standard deviation is 8.5 kg , and the distribution is approximately normal. If a sample of 75 individuals is selected. What is the probability that the mean of the sample will be at most 97.5 kg per year? Note that: P(X>97.5)=0.362066 and P(Xˉ>97.5)=0.001119.
A) 0.001119
B) 0.637934
C) 0.998881
D) 0.362066 Use the following to answer questions 23-25:
In a study about obesity, suppose that the BMI follows the normal distribution with mean equals to 21.03. Consider the following MegaStat output:
\begin{tabular}{rcrrrr}
P(lower) & P(upper) & z & mean & std.dev \\
0.038764 & & -1.765217 & 19 & ? & ? \\
0.00421 & 0.814781 & -0.895652 & 20 & ? & ? \\
& & -2.634783 & 18 & ? & ? \\
0.995097 & 0.199481 & 0.843478 & 22 & ? & ?
\end{tabular}
19. The 2,148 guests at a hotel have the choice to either go on a boat tour or go scuba diving. 134 people decided to go scuba diving. 523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning. 5.AR.1.1
(0.37)(m1.29)=0.444g/mLHCl3036.465mol
A solution contains 50.0 grams of glycerol, C3H8O3, and 50.0 grams of water. The solution has a density of 1.10g/mL. Calculate the following:
a) Weight % of C3H8O3 in this solution. 100050=50%
b) Molality of C3H8O3 in this solution. M= soleat kyn sowt =0.050.54mI1=10.8M
c) Mole Fraction of C3H8O3 in this solution. x=2.π0.54
d) Molarity of C3H8O3 in this solution.
m=cn=0.54
Solve the inequality.
∣x+8∣>1 Select the correct choice below and, if necessary, fill in the answ
A. The solution is □ (Type your answer in interval notation
B. The solution set is ∅.
Question 12
1 pts What is the current price of a $1,000,6% coupon bond that pays interest semi-annually if the bond matures in ten years and has a yield-to-maturity of 7.1325% ?
None of the given answers is correct.
920
567
1,030
1,080
12. Use the elimination method by subtraction to solve for x and y. Equation 14x−3y=−4
Equation 24x+5y=28 12a First solve for y.
Enter your next step here
12b
Submit step
exam will have 30 multiple-choice questions. The procedures are similar to the previous exam. e 60 minutes to complete the exam. "None of the given answers is correct" means all four answers a rrect. Please be on time. Only one attempt is allowed. One question is shown at a time and is lockec wering or skipped. Question 24
1 pts Assume we have a PLAM for a $450,000 mortgage with a 30 -year term and monthly payments. The "real" loan rate is 4%, with inflation rates of 6%,5%, and 4% for years 1,2 , and 3 , respectively. The inflation adjustments to the loan balance are assumed to be made annually. What is the mortgage balance at the end of the month 43rd?
None of the given answers is correct.
475,658
484,604
488,659
457,658
Brooke has scores of 84,72,90,95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options.
85
90
83
86
92
8. A new 4 K TV originally costs $3000. Complete the table.
\begin{tabular}{|c|c|}
\hline Discount (\$) & Percentage \\
\hline & 10 \\
\hline \begin{tabular}{l}
शinप \\
ve bons mants Jen
\end{tabular} & \\
\hline nsjalb bns 29m & Denivi 80 \\
\hline & 100 \\
\hline
\end{tabular}
(5) of bebizat au Jilqz Yent pool 70 ase 709 .bnsiר 9. What is the amount of discount on the TV?
srnek
An electronic store is having a sale where all items are 80\% of their original 7. If all items are 80% of their original price, what percent discount will custome receive?
Home > CCA2 > Chapter 2> Lesson 2.1.2 > Problem 2-21 2-21. Plot each pair of points and find the distance between them. Give answers in both square-root form and as decimal approximations.
□□ Hint:
Draw a right triangle with the hypotenuse segment connecting the given points. Recall the Pythagorean Theorem. Find the difference between the x - and y coordinates, respectively. Square these values, add them, and find the square root of this value.
a. (3,−6) and (−2,5)
b. (5,−8) and (−3,1)
c. (0,5) and (5,0)
d. Write the distance you found in
□ DAnswer (a): part (c) in simplified square-root 146≈12.1 form.
□
(2Hint (d):
Rewrite 50 as 25⋅2. Which factor can be simplified further?
login.i-ready.com/student/dashboard/home
ckle Student Das.
My Assignments
Reading To Do, i-Re..
-Ready
Add Decimals - Instruction - Level E Althea has 774 . Harrison finds 404 . They want to combine their money to buy a barbecue skewer from a street vendor for $1. Do you think they have enough money?
Yes
No How can you find how much money Althea and Harrison have in all? Choose the correct expression.
0.77 cents +0.40 cents
0.77 cents -0.40 cents 77 cents +40 cents
77 cents -40 cents
1 A company purchased factory equipment on April 1, 2022 for $160,000. It is estimated that the equipment will have a $20,000 salvage value at the end of its 10 -year useful life, Using the straight-line method of depreciation, the amount to be recorded as depreciation expense at December 31, 2022 is
A) $16,000
B) $14,000
C) $10,500
D) $12,000
E) None of the above 2 If an asset costs $41,000, has a residual value of $3,000, and has
a useful life of five years, the entry to record depreciation in the second year, using the double-declining-balance method, is
A) Depreciation Expense Cash
\$ 9,430
B) Depreciation Expense Accumulated Depreciation - Asset
C) Depreciation Expense Accumulated Depreciation - Asset
D) Accumulated Depreciation - Asset \$ 10,660 Depreciation Expense
E) None of the above 3 Equipment is purchased for $120,000. It has a five-year useful life and a $20,000 residual value. Under the double declining balance method, what is the depreciation expense for year 3 ?
A) $17,280
B) $15,360
C) $14,400
D) $12,800
E) None of the above
34) Henry throws a tennis ball over his house. The ball is 6 feet above the ground when he lets it go. The quadratic function that models the height, in feet, of the ball after t seconds is y=−16t2+46t+6.
a. How long does it take for the ball to hit the ground? Roughly sketch the graph.
b. There is a trampoline on the other side that is 5 feet off the ground. The ball happens to land on it instead of the ground. How long would this take? Create a new equation and solve.
Algebra 1
Y. 4 Transformations of quadratic functions 6 YS Find g(x), where g(x) is the translation 1 unit left of f(x)=x2.
Video
Questions
answered Write your answer in the form a(x−h)2+k, where a, h, and k are integers.
g(x)=□
( □ )
2
Time
elapsed
00
01
07
1
HR
MIN
sec
SmartScore
Submit
out of 100
15
Calculate the molar concentration of each solution.
a. 14 g of copper(II) sulfate, CuSO4(s), dissolved in 70 mL of solution
b. 5.07 g of sucrose, C12H22O11(s), dissolved in 23.6 mL of solution
c. 1.1 g of calcium nitrate, Ca(NO3)2(s), dissolved in 70 mL of solution
par non-cumulative
preferred stock outstanding at December 31,2021 . No dividends have been paid on this stock for 2020 of 2021 . Divitend in arrears at December 31, 2021 total
A)
A) B) C) D) $$$$03,00030,00060,000
E) None of the above 20 On January 1, Layline Corporation had 160,000 shares of $10 par value common stock outstanding. On June 17 , the company declared a 15% stock dividend to stockholders of record on June 20. Market value of the stock was $15 on June 17 . The entry to record the transaction of June 17 would include a
A) debit to Stock Dividends for $360,000.
B) credit to Cash for $360,000.
C) credit to Common Stock Dividends Distributable for $360,000.
D) credit to Common Stock Dividends Distributable for $120,000.
E) None of the above 21 Cherokee, Inc. paid \180,000tobuyback20,000sharesofits$1parvaluecommonstock.Thisstockwassoldlateratasellingpriceof\6 per share. The entry to record the sale includes a
A) debit to Retained Earnings for \60,000.B)credittoRetainedEarningsfor\20,000.
C) debit to Paid-in Capital from Treasury Stock for \$180,000.
D) credit to Paid-in Capital from Treasury Stock for \$20,000.
E) None of the above 22 Which of the following is not true of a corporation?
A) It may buy, own, and sell property.
B) It may sue and be sued.
C) The acts of its owners bind the corporation.
D) It may enter into binding legal contracts in its own name.
E) None of the above
le miexerce
Pour faire une robe, Lina emploie 5 m d'etoffe a 1556 le mètre. Elle compte 150 G pour les fournitures et 500 G de travail. Quel est le prix de revient de la robe?
Unit test The partial table below shows the fraction of fish in Kathy's tank of different types.
\begin{tabular}{ll}
Type of fish & Fraction of total \\
\hline Tetras & 61 \\
Guppies & 52 \\
Goldfish & 41
\end{tabular} What fraction of Kathy's fish are either tetras or guppies?
□ of the fish
At 20∘C, a saturated solution of calcium sulfate, CaSO4(aq), has a concentration of 0.0153mol/L. A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?
At 20∘C, a saturated solution of calcium sulfate, CaSO4(aq), has a concentration of 0.0153mol/L. A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?
2. If sin(α)=52 and tan(β)=2, where 2πsinsm and 2πsβs23π, calculate sin(α+β)+sin(α−β). Show at least four lines of work for fult marks.
(4 Marks]) 3. Determine the exact value of Cos(2x),CSc(x)=15−17 and 23π5×≤2π. Show at least three lines of work for full merts.
(4 Marks)
For the compound inequality 5−2x<7 and 2(3x−1)≤4x+4,
Find the solution set algebraically.
−2×27" x′′ is greater
−2−2x<−22x>−12(3x−1)⩽4x+46x−2⩽4x+4−4x−4x intersection: −12x⩽3x≤3x is less than or or (−1,3)
b.) Graph the solution set.
QUESTION 4 Convert the following rectangular coordinates to cylindrical coordinates. Give angles in terms of Pi. If your answer is two-thirds Pi, you would type 2 pil3. It might look familiar. Keep the square root(s) in your answer- do not use decimals.
Rectangular: (2,−2,2sqrt2)= Cylindrical: □□□
Use division to write 114 as a decimal. How many times does 11 go into 70 ? 3 times, with a remainder of 7
□
What is the greatest number you can multiply
0.3 ?
1 1 \longdiv { 4 . 0 0 } by 11 to get a product less than or equal to 70 ?
−040−3370
DONE
Show Me
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{4}{|c|}{ … } \\
\hline 7 & 8 & 9 & x \\
\hline 4 & 5 & 6 & - \\
\hline 1 & 2 & 3 & - \\
\hline 0 & & & \\
\hline
\end{tabular}
2. A political gathering in South America was attended by 7,910 people. Each of South America's 14 countries was equally represented. How many representatives attended from each country?
Select the correct answer from each drop-down menu. When she was 20, Liz started saving $6,000 a year for retirement. Her goal is to reach $100,000 in savings by the time she's 30 . Her account earns 8% interest per year, compounded annually.
Liz □ have saved $100,000 by age 30 . She'll □ her goal by about □
Reset
Next
2. A single die is rolled twice. The set of 36 equally likely outcomes are given as follows:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} Find the probability of the sum of two faces is equal to 3 or 4 ?
Jacques achète 12 bicyclettes d'enfants à 2875 G I'une. Il paie 5100 G pour le transport, 13800 G pour la douane et 600 G pour la réparation de 2 bicyclettes endommagées. Quel est le prix de revient moyen d'une bicyclette?
A table of values of a linear function is shown below.
\begin{tabular}{|l|l|l|l|l|}
\hlinex & 0 & 1 & 2 & 3 \\
\hliney & 3 & 5 & 7 & 9 \\
\hline
\end{tabular} Find the slope and y-intercept of the function's graph.
slope: □y-intercept: □
Exercice 2
Soit X1,X2 et X3, trois vecteurs de I3 tels que : X1=(−1,5,2),X2=(2,−1,2) et X3=(1,1,3)
a. Calculer les combinaisons linéaires suivantes: 3X1−2X2+X3;3(X1−X3)+X2
b. Trouver trois réels α,β et γ non nuls, tels que αX1+βX2+γX3 ait ses deux premières composantes nulles . Exercice 3 1. Soient u1=(1,1,1,1),u2=(2,−1,2,−1),u3=(4,1,4,1) trois vecteurs de R4 La famille {u1,u2,u3} est-elle libre? 2. Soient dans R3 les vecteurs v1=(1,1,0),v2=(4,1,4) et v3=(2,−1,4). La famille (v1,v2,v3) est-elle libre ?
9) *(I know this is linear - it's assessing transformations) Part A
The linear function f(x) is graphed on the coordinate grid.
Graph the linear function g(x)=f(x)+3.
(2 points)
Find all solutions to the system of nonlinear equations.
y=x−7x2+y2=37 Solution(s): □ help (points) Enter the solution as an ordered pair, (a,b) or a list of ordered pairs, (a,b),(c,d).
Assignment
Actlve Using a Table to Solve a Proportion Extend the rate table to the next row by determining how many quarts of water are necessary for '81/2' tablespoons of salt.
123/2=a81/2
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Tablespoons of \\
Salt
\end{tabular} & Quarts of Water \\
\hline 3/2 & 12 \\
\hline 9/2 & 36 \\
\hline 27/2 & 108 \\
\hline
\end{tabular}
DNㄴ․․
4. Cameron wants to measure the length of his classroom using his foot as a length unit. Histeacher thes him the length of the classroom is 23 meters. Cameron steps across the classroom heel to toe and fins that it takes him 92 steps. How long is Cameron's foot in meters?