Hi, can I get some help with this question? DON'T WORRY ITS JUST A ASSIGNMENT. NOT A TEST. Thank you

Elena-2011 [213]

6 is the square root of 36.

6(6) = 36

5 0

2 years ago

In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric

Lelu [443]

Answer:

$y(x) = 29.99 + 1.86x$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

$y(x) = y(0) + ax$

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that $y(0) = 29.99$

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

$y(16) = 59.75$

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

$y(x) = y(0) + ax$

Applying y(16).

$59.75 = 29.99 + 16a$

$16a = 29.76$

$a = \frac{29.76}{16}$

$a = 1.86$

So

$y(x) = 29.99 + 1.86x$

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

$y(x) = 29.99 + 1.86x$

$y(20) = 29.99 + 1.86*20 = 67.19$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0

2 years ago

You have 10 shirts, 4 pairs of pants, and 3 pairs of shoes. How many outfits can you create?

Inessa [10]

Answer:

120 <u>different</u> outfits.

Step-by-step explanation:

10x4=40

40x3=

3 0

2 years ago

What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....

11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

5 0

2 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

6 0

3 years ago