Which function has a y-value of 12, if the x-value is 3?

A research firm wants to determine whether thereâ€™s a difference in married couples between what the husband earns and what the

vovangra [49]

Answer:

Two sample t procedure

Step-by-step explanation:

The reason for using the two sample t procedure is that it is mention in the statement that the firm takes a random sample of married couples and measure their annual salary and standard deviations are unknown and they are estimated by using the collected sample of data. Also there are two population in the data. Population one is the annual salary of husband and population two is the annual salary of wife and these are compared using two sample t procedure.

5 0

4 years ago

Find the slope of the line passing through the points (-3, -8) and (4,6).

Dovator [93]

Answer:

<h2>slope = 2</h2>

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have

$(-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6$

Substitute:

$m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2$

5 0

3 years ago

Read 2 more answers

The number of printers sold since 2003 at Mike’s office supply store can be modeled by the function N(t) = 15t + 85 and the pric

fiasKO [112]

Answer:

The total amount of revenue is $82950

Step-by-step explanation:

* Lets explain how to solve the problem

- The number of printers sold since 2003 at Mike’s office supply store

can be modeled by the function N(t) = 15t + 85

∴ The number of printers is N(t) = 15t + 85

- The price per printer can be modeled by P(t) = 15t² - 32t + 126

∴ The price per printer is P(t) = 15t² - 32t + 126

- t is the number of years since 2003

- The amount of revenue is the product of the number of printers

sold and the price per printer

∴ Revenue = N(t) × P(t)

- We need to find the total amount of revenue generated by the

sales of printers in the office supply store in 2009

∵ t is the number of years since 2003

∴ In 2009 t = 2009 - 2003 = 6 years

∵ t = 6 years

∵ N(t) = 15t + 85

∴ N(6) = 15(6) + 85 = 175

∴ They sold 175 printers from 2003 to 2009

∵ t = 6 years

∵ P(t) = 15t² - 32t + 126

∴ P(6) = 15(6)² - 32(6) + 126 = 474

∴ The price per printer is $474

∵ Revenue = N(t) × P(t)

∴ Revenue = 175 × 474 = 82950

* The total amount of revenue is $82950

3 0

4 years ago

As a result of medical examination, one of the tests revealed a serious illness in a person. This test has a high precision of 9

Elina [12.6K]

Answer:

0.0098

Step-by-step explanation:

Given,

Probability of test is positive if the person has disease, P(T/D)=0.99

Probability of test is negative if the person has disease,

P(T'/D) = 1-0.99 = 0.01

Probability of test is negative if the person hasn't disease, P(T'/D')= 0.99

Probability of test is positive if the person hasn't disease,

P(T/D') = 1 - 0.99 = 0.01

Probability of occurrence of disease, P(D) = 0.0001

Probability of not occurrence of disease,

P(D) = 1 - 0.0001 = 0.9999

Probability that test will be positive either disease is present or not,

P(T) = P(T/D).P(D)+P(T/D').P(D')

=0.99 x 0.0001 + 0.01 x 0.9999

= 0.000099 + 0.009999

= 0.010098

So, the probability that the person will have disease if the test is positive,

$P(D/T)\ =\ \dfrac{P(T/D).P(D)}{P(T)}$

$=\ \dfrac{0.99\times 0.0001}{0.010098}$

= 0.0098

So, the required probability will be 0.0098.

8 0

3 years ago

F/5 + -5 = 18 show work please

sertanlavr [38]

Answer:

f = 115

Step-by-step explanation:

f/5 + -5 = 18

Add 5 to both sides

f/5 = 23

Multiply both sides by 5

f = 115

8 0

3 years ago