Write 5/2-in standard form

A line's y-intercept is 8, and its slope is 2. What is its equation in slope-intercept form? Write your answer using integers, p

lisov135 [29]

The correct answer is y=2x+8

6 0

2 years ago

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A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

alisha [4.7K]

Answer:

a)

The null hypothesis is $H_0: \mu \leq 10$

The alternative hypothesis is $H_1: \mu > 10$

b-1) The value of the test statistic is t = 1.86.

b-2) The p-value is of 0.0348.

Step-by-step explanation:

Question a:

Test if the battery life is more than twice of 5 hours:

Twice of 5 hours = 5*2 = 10 hours.

At the null hypothesis, we test if the battery life is of 10 hours or less, than is:

$H_0: \mu \leq 10$

At the alternative hypothesis, we test if the battery life is of more than 10 hours, that is:

$H_1: \mu > 10$

b-1. Calculate the value of the test statistic.

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

10 is tested at the null hypothesis:

This means that $\mu = 10$

In order to test the claim, a researcher samples 45 units of the new phone and finds that the sample battery life averages 10.5 hours with a sample standard deviation of 1.8 hours.

This means that $n = 45, X = 10.5, s = 1.8$

Then

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{10.5 - 10}{\frac{1.8}{\sqrt{45}}}$

$t = 1.86$

The value of the test statistic is t = 1.86.

b-2. Find the p-value.

Testing if the mean is more than a value, so a right-tailed test.

Sample of 45, so 45 - 1 = 44 degrees of freedom.

Test statistic t = 1.86.

Using a t-distribution calculator, the p-value is of 0.0348.

5 0

2 years ago

F. -10x >45<br> Solve the two step inequality

Daniel [21]

Answer:

x < -4.5

Step-by-step explanation:

<u>Step 1: Solve for x</u>

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer: x < -4.5

4 0

3 years ago

2x + 3y- z = 13<br> 3x - 4y+z = -2<br> x + 2y + 2z= 21

Oksana_A [137]

What’s the question ?

8 0

3 years ago

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Train tracks are made of metal. Consequently, they expand when it's warm and shrink when it's cold. When riding in a train, you

Nadya [2.5K]

The height of the triangle that forms the train track is 145,38 ft

<h3>How to calculate the height of the triangle?</h3>

To calculate the height of the triangle we must take into account the information provided by

Base of the triangle = 1 mile = 5280 feet
Railroad track expansion = 8 feet

According to the above, we must perform the following operations:

5280 ÷ 2 = 2640
8 ÷ 2 = 4
2640 + 4 = 2644

Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:

Base: 2640ft
Hypotenuse: 2644 ft

2644² = x² + 2640²
x² = 2644² - 2640²
x = $\sqrt[2]{2644^{2} + 2640^{2}}$ .
x = $\sqrt[2]{21137}$
x = 145,38 ft

That makes x approximately 145,38 ft.

Learn more about triangles in: brainly.com/question/2269348

4 0

2 years ago