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2 years ago

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Mathematics

2 answers:

Lena [83]2 years ago

7 0

The answer is 30 I believe

andrezito [222]2 years ago

5 0

Answer:

30 calories.

Step-by-step explanation:

First we need to know how many is one gram so do 180/30 to get 6. Then, since we are looking for the amount in 5 grams, multiply 6 by 5 to get 30.

Therefore, there are 30 calories in 5 grams.

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What two numbers multiply to get 42 and add to get 25

Nataly_w [17]

12.5×12.5 will give u 42 an if u add it u will get 25

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3 years ago

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

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.

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2 years ago

What is the outlier in the following data : 85,83,9,85,82,81,90

kow [346]

It is 9 because all the other numbers are in the 80s and 90s 9 is way to low.

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3 years ago

If 10^2y = 25, then 10^-y equals: (a) -1/5 (b) 1/625 (c) 1/50 (d) 1/25 (e) 1/5

Gemiola [76]

<h3>given:</h3>

$10 ^{2y} = 25$

${10}^{y} = .......$

<h3>solution:</h3>

$10 ^{2y} = 25$

$(10y {)}^{2} = {5}^{2}$

$10y = 5$

$\frac{1}{ {10}^{y} } = \frac{1}{5}$

${10}^{ - y} = \frac{1}{5}$

therefore, the correct answer is option E.

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1 year ago

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