Which set of numbers represents the input of the following funtrion?
\begin{tabular}{|c|c|}
\hline x & y \\
\hline-1 & -1 \\
\hline 0 & -1 \\
\hline 2 & 0 \\
\hline 3 & 2 \\
\hline
\end{tabular}
(−1,−1,0,2)(−1,0,2,3)(−1,−1,0,−1)(2,0,3,2)
Consider the following demographic data for a hypothetical state Assume everyone votes along party lines
The state has 16 representatives and a population of 69 milion, party affiliations are 90\% Democrat and 10\% Republican. Complete parts (a) and (b) below.
a. If distncts were drawn randomly, what would be the most likely distribution of House seats?
□ Republicans, □ Democrats
Women stereotypically talk more than men do and researchers wondered how much more. Suppose a study attempted to determine the difference in the mean number of words spoken by men or women per day. The results of the study are summarized in the table.
\begin{tabular}{cccccc}
Group & \begin{tabular}{c}
Population \\
mean
\end{tabular} & \begin{tabular}{c}
Sample \\
size
\end{tabular} & \begin{tabular}{c}
Sample \\
mean
\end{tabular} & \begin{tabular}{c}
Sample standard \\
deviation
\end{tabular} & \begin{tabular}{c}
Standard error \\
estimate
\end{tabular} \\
\hline women & μw (unknown) & nw=27 & xˉw=16496 & sw=7914 & SEw=1523 \\
men & μm (unknown) & nm=20 & xˉm=12867 & sm=8230 & SEm=1840
\end{tabular}
df=40.1700 Assume the conditions are satisfied for a two-sample t-confidence interval. First, determine the positive critical value, t, for a 99% confidence interval to estimate how many more words women speak each day on average compared to men, μw−μm. Give your answer precise to at least three decimal places.
t=2.861
3. At a seaport, the depth of the water, d , in meters, at time t hours, during a certain day is given by:
d=3.4sin(2π10.6(t−7.00))+2.8
[4 marks]
a) What is the depth of the water at 6:30pm ? (Answer to the nearest hundredths).
b) How long will the depth be above 4 metres during one full day of 24 hours?
Consider the molecule:
Sl2
In the blanks below, answer the following questions, in order: 1. Calculate the electronegativity difference between the central atom and the second atom. Give the answer to 1 decimal place. 2. Determine if the bond is covalent, polar covalent, or ionic. (these are your 3 choices) 3. Determine the shape of the molecule. (angular, linear, trigonal planar, trigonal pyramidal, tetrahedral) 4. Determine if the shape is symmetrical or asymmetrical 5. Determine if the molecule polar, or nonpolar 6. Indicate the dominant intermolecular force (London dispersion, dipole-dipole, hydrogen bonding)
Determine if the representation below is an example of positive correlation,
* 1 point
negative correlation, or has no association. A
The number of ice cubes in a drink and the temperature of the drink.
Positive
Negative
No Association
Look at the following inequalities.
1,000,000>237,0<237,22>237−1,000<237,−1918<237,237>0.2237<21,237<461
a. Which of the numbers above are the right of 237 on a number line
b. Which of the numbers above are the left of 237 on a number line?
Determine If the represemtation below is an example of positive correlation, 1 point negathe correlation, or has no assoclation. C
Positive
Negative
No Association Justify your answer below. * Your answer
Reason Abstractly During a test flight, Jeri's rocket reached a height of 18 yards above the ground. This was 7 yards less than the height that Devon's rocket reached. Did Devon's rocket reach a height greater than 23 yards? Explain.
Choose the best answer and explanation.
A) no; If I solve the equation x−7=18 to find the height that Devon's rocket reached, I find that Devon's rocket reached a height of 18−7, or 11 yards. Because 11<23, Devon's rocket did not reach a height greater than 23 yards.
B) no; If I solve the equation x+7=18 to find the height that Devon's rocket reached, I find that Devon's rocket reached a height of 18−7, or 11 yards. Because 11<23, Devon's rocket did reach a height greater than 23 yards.
C) yes; If I solve the equation x−7=18 to find the height that Devon's rocket reached, I find that Devon's rocket reached a height of 18+7, or 25 yards. Since 25>23, Devon's rocket did reach a height greater than 23 yards.
D) yes; If I solve the equation x+7=18 to find the height that Devon's rocket reached, Ifind that Devon's rocket reached a height of 18+7, or 25 yards. Because 25>23, Devon's rocket did reach a height greater than 23 yards.
1. Adding and Subtracting Rational Numbers
A. Sketch a Venn diagrant to show all of the sets and subsets of numbers that you know. Use your Venn diagram to decide whether each statement is true or false. Explain your reasoning, 1. All integers are included in the set of natural numbers.
False. 0 is an inierger but is not inciuded in the ser of naturaul numbers 2. All whole numbers are included in the set of integers.
True. whole number s include 0 3. All rational numbers are included in the 4. 92 is included in the set of integers. set of whole numbers. 5. -3 is included in the set of 6. 53 is included in the set of rational numbers. rational numbers.
True. 3 is a number form being eaval to "o" which is the clefenition of rationall F
For each inequality, choose the statement that describes its solution. If applicable, give the solution.
(a) 3(4−u)+3u>16
No solution
u रे □u>□
All real numbers are solutions
(b) 3(5v+2)≤13v+16
No solution
v≤□v≥□
All real numbers are solutions
Mara Stratton
12/03/24 6:28 PM
Question 6, 10.3.21-T
HW Score: 47.62%,20 of 42 points
lomework
Part 4 of 5
Points: 0 of 2
Save The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 86.8 seconds. A manager devises a new drive-through system that he believes will decrease wait time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts (a) and (b) below.
\begin{tabular}{|c|c|}
\hline 105.8 & 82.9 \\
66.1 & 96.3 \\
59.6 & 85.3 \\
76.2 & 72.3 \\
65.2 & 80.3 \\
\hline
\end{tabular} Click the icon to view the table of correlation coefficient critical values.
(b) Is the new system effective? Conduct a hypothesis test using the P -value approach and a level of significance of α=0.01. First determine the appropriate hypotheses.
H0:μ=86.8H1:μ=86.8 Find the test statistic.
t0=−1.73
(Round to two decimal places as needed.)
Find the P -value.
The P-value is □ .
(Round to three decimal places as needed.) Time (sec)
3
xample
Get more help -
Clear all
Final check
Determine if the representation below is an example of positive correlation,
* 1 polit
negative correlation, or has no association. H
The number of colors used in a painting and the cost of the painting.
Positive
Negative
No Association Justify your answer below. * Your answer
Question 4 (1 point)
The function y=−3sinx+1 has an amplitude of -3 .
True
False Question 5 (1 point)
The graph of the function y=sinπx has a period of 2 .
True
False Question 6 (1 point)
The trigonometric equation cos2x−sin2x=0 has the same solutions as the trigonometric equation cos2x=0.
True
False
Spiral Review A triangle has angles measuring 45∘,55∘, and 80∘. It is dilated by a scale factor of 2 . What are the angle measures, in order from least to greatest, of the dilated image?
Enter the correct answers in the boxes. Show Hints
□□ , and □]∘□
Part 5 of 6
Points: 0 of 1 A simple random sample of size n is drawn. The sample mean, xˉ, is found to be 17.9 , and the sample standard deviation, s, is found to be 4.2 .
(a) Construct a 95% confidence interval about μ if the sample size, n , is 34 . Lower bound: 16.43 ; Upper bound: 19.37
(Use ascending order. Round to two decimal places as needed.)
(b) Construct a 95% confidence interval about μ if the sample size, n , is 61. Lower bound: 16.83 ; Upper bound: 18.98
(Use ascending order. Round to two decimal places as needed.)
How does increasing the sample size affect the margin of error, E?
A. The margin of error increases.
B. The margin of error decreases.
C. The margin of error does not change.
(c) Construct a 99\% confidence interval about μ if the sample size, n , is 34 . Lower bound: 15.93; Upper bound: 19.87
(Use ascending order. Round to two decimal places as needed.)
Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?
A. The margin of error decreases.
B. The margin of error does not change.
C. The marnin of error increases
Write the complex number in rectangular form.
12(cos150∘+isin150∘)12(cos150∘+isin150∘)=□
(Type your answer in the form a + bi. Type an exact answer, using radicals as needed.)
Answer the statistical measures and create a box and whiskers plot for the following set of data.
5,6,7,9,10,11,12,12,14,15,16,17,18,19 Min: □ Q1: □ Med: □ Q3: □
Max: □ Create the box plot by dragging the lines:
Section 9.2 Homework
Question 9, 9.2.28
HW Score: 47.14\%, 15.56 of 33 points
Part 3 of 4
Points: 0 of 1
Save A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 951 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.32 hours with a standard deviation of 0.52 hour. Complete parts (a) through (d) below. Click the icon to view the table of critical t-values.
that both tails are accounted for in the confidence interval.
D. Since the distribution of time spent eating and drinking each day is highly skewed right, a large sample size is needed to minimize the margin of error to ensure only the peak of the sampling distribution is captured in the confidence interval.
(b) There are more than 200 million people nationally age 15 or older. Explain why this, along with the fact that the data were obtained using a random sample, satisfies the requirements for constructing a confidence interval.
A. The sample size is greater than 10% of the population.
B. The sample size is greater than 5% of the population.
C. The sample size is less than 5% of the population.
D. The sample size is less than 10% of the population.
(c) Determine and interpret a 95\% confidence interval for the mean amount of time Americans age 15 or older spend eating and drinking each day. Select the correct choice below and fill in the answer boxes, if applicable, in your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
A. The nutritionist is 95% confident that the amount of time spent eating or drinking per day for any individual is between □ and
B. The nutritionist is 95% confident that the mean amount of time spent eating or drinking per day is between □ and □ hours.
C. There is a 95% probability that the mean amount of time spent eating or drinking per day is between □ and □ hours.
Name
Practice
Period Date
Go Online You can complete your homework online 1. Gennaro is considering two job offers as a part-time sales person. Company A will pay him $12.50 for each item he sells, plus a base salary of $500 at the end of the month. The amount Company B will pay him at the end of the month is shown in the table. Compare the functions' initial values and rates of change. Then determine how much more Gennaro would make at Company A if he sells
\begin{tabular}{c|c|c}
\hline \begin{tabular}{c}
Number of \\
Items Sold, x
\end{tabular} & \begin{tabular}{c}
Total \\
Earned (\),y
\end{tabular} \\
\hlineS$ & 5 & 425 \\
\hline 10 & 500 \\
\hline 15 & 575 \\
\hline
\end{tabular} 28 items by the end of the month. (Example 1)
Question 1 (1 point)
A population, p, of bears varies according to p(t)=250+30cost, where t is the time, in years. During which of the following intervals is the population decreasing?
a) 23π<t<2π
b) 0<t<π
C) 0<t<2π
d) π<t<2π
\begin{tabular}{|c||c|c|}
\hlinex & 0 & 1 \\
\hlinef(x) & 1 & 2 \\
\hline
\end{tabular} Let f be the function given by f(x)=2x3. Selected values of f are given in the table above. If the values in the table are used to approximate f′(0.5), what is the difference between the approximation and the actual value of f′(0.5) ?
(A) 0 B 0.433
(C) 0.567
(D) 1
'As part of quality control, an engineer weighs a certain number of boxes of oatmeal that are supposed to weigh 16 ounces. The results are given in the frequency distribution below:
\begin{tabular}{|l|l|}
\hline x= Weight of box (in ounces) & Number of Boxes \\
\hline 15.3≤x<15.6 & 7 \\
\hline 15.6≤x<15.9 & 13 \\
\hline 15.9≤x<16.2 & 18 \\
\hline 16.2≤x<16.5 & 17 \\
\hline 16.5≤x<16.8 & 10 \\
\hline
\end{tabular} What is the relative frequency of boxes that are less than 16.2 ounces?
Give your answer as a decimal rounded to the nearest hundredth.
□
C10 Q10 V3: The Excel file STATISTICSSTUDENTSSURVEYFORR contains the column ENDPULSEMIN (a numerical variable that measures student pulses after completing an online survey) and the column BEFPULSEMIN (a numerical variable that measures student pulses before completing an online survey). For education purposes, consider this dataset to be a sample of size 60 taken from a much larger population for statistics students. Consider the paired differences d= ENDPULSEMIN BEFPULSEMIN. Calculate a 90% confidence interval for the mean of the population paired differences. Choose the most correct (closest) answer.
a. Your confidence interval is (0.4746613,1.5253387) and there is significant evidence that, on average, the two pulse rate measurements give different results.
b. Your confidence interval is ( 0.5612735,1.4387265 ) and there is no significant evidence that, on average, the two pulse rate measurements give different results, on average.
c. Your confidence interval is ( 0.4746613,1.5253387 ) and there is no significant evidence that, on average, the two pulse rate measurements give different results.
d. Your confidence interval is (0.5612735,1.4387265) and there is significant evidence that, on average, the two pulse rate measurements give different results.
as speed decreases as tijme goes onwhat happens to kinetic energy - Google...
7
Mark for Review The graph shows speed v as a function of time t for a 0.20 kg object traveling along a straight, horizonta track. The change in the kinetic energy of the object over the time interval shown in the graph is most nearly
C13 Q2 V3 The Excel file STATISTICSSTUDENTSSURVEYFORR contains the column MOTHDEGREE (a categorical variable that indicates the degree obtained (or being obtained) by a student's mother (GraduateProfessional, HighSchool, Undergraduate) and the column BAORBS (a categorical variable that indicates whether a student is pursuing a BA or a BS. We consider, somewhat artificially, the statistics 151 student data in the STATISTICSSTUDENTSSURVEYFORR file to be a random sample from a much larger hypothetical population of Canadian students. Using a level of significance of 5%, you perform a test of independence to determine if mother's final degree and student bachelorá s degree are independent. Choose the most correct (closest) answer below.
a. A Chi-square test of independence requires numerical variables and you cannot do this problem.
b. Your pvalue is 0.449 , and you reject your null hypothesis.
c. Your pvalue is 0.2245 , and you fail to reject your null hypothesis.
d. Your pvalue is 0.449 , and you fail to reject your null hypothesis.
Exercice 7: Sur quelle(s) figure(s) a-t-on colorié 41 de la surface ?
(1)
(2)
(3) Exercice 8: Dans chacun des cas suivants, quelle fraction de la surface a été coloriée?
(1)
(2)
(3)
9.2 Homework
Question 10, 9.2.52
HW Score: 58.83%,19.41 or 35 poinis
Part 1 of 3
Points: 0 of 1
Save The accompanying data represent the total travel tax (in dollars) for a 3-day business trip in 8 randomly selected cities. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts (a) through (c) below.
68.1978.6169.9183.6480.9287.43100.0297.42 Click the icon to view the table of critical t-values.
(a) Determine a point estimate for the population mean travel tax. A point estimate for the population mean travel tax is $□
(Round to two decimal places as needed.)
The weights for newborn babies is approximately normally distributed with a mean of 6.7 pounds and a standard deviation of 2 pounds. Use the Cumulative Z-Score Table to answer the questions below. Write your answers rounded to the nearest whole number. Consider a group of 1000 newborn babies:
- How many would you expect to weigh between 2.9 and 6.4 pounds? □
- How many would you expect to weigh less than 3.9 pounds? □
Enter an integer or decimal number more.I
- How many would you expect to weigh more than 6.5 pounds? □
- How many would you expect to weigh between 6.7 and 8.3 pounds? □
Mark for Review The graph shows the position as a function of time for an object of mass 5 kg moving in one dimensio The kinetic energy of the object at 5 s is most nearly
Which of the following is the set of all real numbers x such that x+2>x+5 ?
A. The set containing only zero
B. The set containing all nonnegative real numbers
C. The set containing all negative real numbers
D. The set containing all real numbers
E. The empty set
Question 49 (1 point)
Matthew is trying to figure out which value for x is NOT a solution for tanx=0. Do you have an answer? Choose one.
a) −3π
b) 0
c) 2π
d) 2π
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent".
∫6∞(x+5)3/27dx=
Find the best predicted value of y given that x=5 for 6 pairs of data that yield r=0.444,yˉ=18.3 and the regression equation y=2+5x. State the critical level.
Figure it
thomure 6 In Figure 1, a person uses a pulley to lift a bell. The person pulls down on the rope at a constant speed. Power P1 is delvered to the bell and it moves upward at a constant speed. In Figure 2, the person uses a double pulley. The person pulls down on the rope at the same constant speed. The bell again moves upward at a constant speed, but the speed of the bell is half the speed of the bell in Figure 1 . The power delivered to the bell in Figure 2 is P2. Which of the following correctly compares P2 to P1 and provides a valid justification?
(A) P2<P1, because in Figure 2 the force exerted on the bell is the same but it is moving with less speed than in Figure 1.
(B) P2<P1, because in Figure 2 the force exerted on the bell is less than in Figure 1.
(C) P2=P1, because in Figure 2 the speed is half that in Figure 1 , but the force on the bell is twice that in Figure 1.
(D) P2=P1, because in Figure 2 the person is doing the same amount of work on the bell as in Figure 1.
The following steps are used to rewrite the polynomial expression (x+4y+z)(x−7y).
Step 1: x(x−7y)+4y(x−7y)+z(x−7y) Step 2: x2−7xy+4yx−28y2+zx−7zy Step 3: x2−7xy+4xy−28y2+xz−7yz Step 4: x2−3xy−28y2+xz−7yz Identify the property used in each of the steps: Step 1: Step 2: Step 3:
Neronica lives on a straight road that goes east and west She starts from a point 5 . miles west of her home and drives a certain distance to the store. The store is more than 321 miles east of her home. Let d represent the distance Veronica drove.
Which inequality represents this situation?
−5.1+d≥−321−5.1+d≥321−5.1+d>321−5.1+d>−321
CPI decreased by 5% in the first four years and 10% in the next. What condition existed in the second period? A. Deflation B. Inflation C. Conflation D. Stagnation
Un observateur sous-marin voit à travers un masque. 1) Quelle relation existe entre r, j et α ? 2) Le rayon peut-il se réfléchir en J ? 3) Conditions sur j et α pour que le rayon sorte en M. Si α=20∘ et i=45∘, à quelle valeur de α disparaît-il ?