Does this graph represent a function?

Emily researched the average prices of desktop PCs worldwide since 2000. She could only find data from 2005 to 2010. She created

boyakko [2]

Answer: A linear relationship

Step-by-step explanation:

From the graph we can see as the number of years increasing the average price of a PC decreasing at a constant rate.

It is forming a straight line and its equation $y=-39+998$ is similar to equation of line $y=mx+c$ , where m= -39 which is the rate of change of average price.

Hence, the relationship between the average price of PCs and the number of years that have passed since 2000 is a linear relationship.

6 0

4 years ago

An instructor at a major research university occasionally teaches summer session and notices that that there are often students

Mademuasel [1]

Answer:

Check the explanations

Step-by-step explanation:

According to given information, an instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students.

Therefore the number of observation n 105 and enrolled x=19

1. An estimate of the population proportion repeating the class is given by:

c) 0.181.

Explanation:

19 --0.18090,181 n 105

2. The instructor wishes to estimate the proportion of students across campus who repeat a course during summer sessions and decides to do so on the basis of this class. Would you advise the instructor against it and why:

d) Yes, because this class is not a random sample of students.

3. The standard error for the estimated sample proportion is given by:

c) 0.0376.

Explanation:

SE $(\hat{p})=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

0.181 × (1-0.181) 105

0,0376 0.0376

4. A 95% confidence interval is given by:

c) 0.107, 0.255.

Explanation:

In order to determine the 95% confidence interval we follow the following step:

Where the z value is determined from the standard normal table as ~ 1.96

$\hat{p}\pm \left [z\times SE(\hat{p}) \right ]$

0.181 ± (1.96 × 0.0376)

0.181 ± 0.0737

Therefore the lower confidence interval is

LCI= 0.181- 0.0737

LCI= 0.107

Therefore the upper confidence interval is

UCI = 0.181 + 0.0737

UCI0.255

Therefore 95% confidence interval is

$\left (0.107,0.255 \right )$

5. She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:

d) $0 :P = 0.10 and H_{a}:p\neq 0.10$

Explanation:

She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are defined on the basis of observation,

Null hypothesis as:

$H_{0}$ :p= 0.10

and alternative hypothesis as:

$H_{a}:p\neq 0.10$

6. The test statistic for this hypothesis is given by:

c) 2.765.

Explanation:

In order to determine the z test statistics as:

Z= $\frac{\hat{p}-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}$

0.181 - 0.10 0.10x (1-0.10)

=2.765

7. The P value for this test is:

c) 0.01>P>0.005 .

Explanation:

P value is calculated as:

P(Z > 2.765) 0.002845 for one tail test and

P(Z > 2.765) 0.005692 for two tail test.

8. Based on the p-value found:

b) we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.

Explanation:

As the z observed is more than the tabulated z value at 95% as:

$Z_{observed}=2.765> Z_{tabulated}=1.96$

and also P value is less than the $\alpha =1-0.95=0.05$

$P(Z\geq 2.765)=0.005692< \alpha =0.05$

Therefore we accept the alternative hypothesis and we may conclude that we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.

7 0

3 years ago

How do you find value of N?

Alex Ar [27]

In order to find the value of N the below mentioned steps must be followed to make the answer more accurate.

<h3>What is the procedure to find the value of N?</h3>

To find N, you must first determine the overall population size from which a sample is collected. N represents the population's overall size, or the number of people.

For example, if you are conducting a research of voter opinions in a certain state, the value of N would be the entire number of registered voters in that state. The figure of N would be the total number of people who have received treatment with the medicine if you were researching the efficacy of a novel drug.

To calculate the size of the sample required to adequately reflect the population, statistical computations frequently employ the value of N.

To learn more about the ways to find N, visit:

brainly.com/question/11620516

#SPJ4

6 0

2 years ago

For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)

ratelena [41]

Answer:

$\displaystyle (f\circ g)(-1) = 5$