Determine the intercepts of the line. <br> y-intercept: (___, ___)<br> x-intercept: (___,__

3z - 3<br> when z = 7<br><br> pls respond asap

Finger [1]

3 • 7=21-3=18 there urs answers

8 0

3 years ago

The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 900 vote

Likurg_2 [28]

Answer:

Test statistic z = 2.3839.

P-value = 0.0086.

At a signficance level of 0.05, there is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is above 56%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.56\\\\H_a:\pi>0.56$

The significance level is 0.05.

The sample has a size n=900.

The sample proportion is p=0.6.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.56*0.44}{900}}\\\\\\ \sigma_p=\sqrt{0.000274}=0.017$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.6-0.56-0.5/900}{0.017}=\dfrac{0.039}{0.017}=2.3839$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.3839)=0.0086$

As the P-value (0.0086) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the percentage of residents who favor construction is above 56%.

3 0

4 years ago

Mrs Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with t

Vilka [71]

Michelle's investment balance after 8 years is $10,790.48.

Kristen's investment balance after 8 years is $3,770.55.

Gabriella's investment balance after 8 years is $24,780.42.

Judy's investment balance after 8 years is $3618.62.

The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.

<h3>What are the formulas that can be used to determine the balance of the sisters?</h3>

The formula that can be used to determine the future value of the investment with compounding is:

FV = P (1 + r)^nm

Where:

FV = Future value
P = Present value
R = interest rate / number of compounding
m = number of compounding
N = number of years

Future value with continuous compounding = : A x e^r x N

Where:

A= amount
e = 2.7182818
N = number of years
r = interest rate

<h3>What is Michelle's balance after 8 years?</h3>

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

<h3>What is Kristen's balance after 8 years?</h3>

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

<h3>What is Gabriella's balance after 8 years?</h3>

$3000 x e^0.032 x 8 = $24,780.42

<h3>What is Judy's balance after 8 years?</h3>

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: brainly.com/question/18760477

4 0

3 years ago

A map represents every 5 miles with 1 centimeter. If two cities are 45 centimeters apart on the map, what is the actual distance

s344n2d4d5 [400]

Answer:

225 miles

Step-by-step explanation: I like your name LOL

5 0

3 years ago

What is the difference between -4 and 6

LenaWriter [7]

Hey,

Answer:

2 and -2

Good luck :)

4 0

3 years ago

Determine the intercepts of the line. y-intercept: (___, ___) x-intercept: (___,___)

Determine the intercepts of the line. y-intercept: (_, _) x-intercept: (_,_)