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3 years ago

What is the answer for 25.2÷2.1 using showing my work

Mathematics

1 answer:

lilavasa [31]3 years ago

7 0

Answer:

25.2

Step-by-step explanation:

2.1*12=25.2

use a calculator if you're allowed to show work that way, if not a simple way is

2.1*10=21

2.1*11=23.1

2.1*12 is equal to 2.1*10=21 because 2*12=24 and .1*12=1.2

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What is the range of the function y = |x |? x ≥ 0 y ≥ 0 all real numbers

Marta_Voda [28]

y ≥ 0 is the range of this absolute value expression because the absolute value means x can never go below 0 and range means the y value, which here is equivalent to |x|

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3 years ago

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The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f

aksik [14]

Answer:

$\frac{x^2}{36} + \frac{y^2}{100} = 1$

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

Where:

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$a = 0.5 * 20 =10$ --- width

So:

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

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3 years ago

A youth barracks has enough food for 125 youths for 16 days.how long will the food last if 75 more youths join

Ronch [10]

Answer:

Step-by-step explanation:

125=

16 days

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3 years ago

Please answer the following essay question:

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The land that would be settled on would have already been the Indians land. Just like in modern times, when you trespass on somebodys own property you would make them mad. This would also potentially decrease their hunting territory, further upsetting the Indians. (this isn't 5 sentences but its a start! Good luck :)

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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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3 years ago