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3 years ago

PLEASE HELP SOMEONE!!!

Mathematics

1 answer:

evablogger [386]3 years ago

3 0

Answer:

y = -2x

Step-by-step explanation:

For direct variation: y = kx, where k is the constant of proportionality.

Given that Y equals -12 when x equals 6, we have -12 = k(6). Solve this for k by dividing both sides by 6:

k = -12/6 => k = -2

Then the "direct variation equation" here is y = -2x.

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kicyunya [14]

Answer:

10500

Step-by-step explanation:

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3 years ago

The vertex of this parabola is at (-2, -3). When the x-value is -1, the

valina [46]

Answer:

-2

Step-by-step explanation:

Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2

Here h = -2, k = -3, x = -1, y = -5. Find a:

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3 years ago

The area of a rectangle is 105 square centimeters. The width of the rectangle is 7 centimeters. What is the perimeter of the rec

Ulleksa [173]

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3 years ago

Read 2 more answers

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:

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 $n = 45, X = 10.5, s = 1.8$