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allsm [11]
3 years ago
15

Write 5/2-in standard form

Mathematics
1 answer:
just olya [345]3 years ago
5 0
5/2 = 2.5 = 2.5 x 10^0
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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
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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 &gt;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
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