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3 years ago

How do you write 47.47/25 in a mixed number? And what is the process?

1 answer:

8 0

47.47/25
= (47.47*100) / (25*100)
= 4,747/2,500
= (2500+ 2247)/2500
= 2500/2500+ 2247/2500
= 1+ 2247/2500
= 1 2247/2500

The final answer is 1 2247/2500~

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Jacob averages 4 strikes for every 9 frames that he bowls. If he bowled 144 strikes in a season, how many frames did Jacob bowl?

max2010maxim [7]

To answer that you would set up the problem 4+9x=144. Then solve it.

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

AfilCa [17]

Answer:

$\theta = \cos^{-1} (\pm \frac{1}{2} )$

Step-by-step explanation:

The function is $g(\theta) = 8\cdot \theta - 2\cdot \tan \theta$ , whose first derivative is:

$g'(\theta) = 8 - 2\cdot \sec^{2}\theta$

Let equalize the derivative to zero:

$8 - 2\cdot \sec^{2}\theta=0$

$\sec^{2}\theta = 4$

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$\cos \theta = \pm\sqrt {\frac{1}{4} }$

$\cos \theta = \pm \frac{1}{2}$

The solutions are given by the following inverse trigonometric function:

$\theta = \cos^{-1} (\pm \frac{1}{2} )$

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3 years ago

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Rus_ich [418]

Answer:

Step-by-step explanation:

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Use the decimals 2.47, 9.57, and 7.1 to write two different addition facts and two different subtraction facts

kaheart [24]

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3 years ago

A laptop producing company also produces laptop batteries, and claims that the batteries

gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

Step-by-step explanation:

The question is incomplete: To test this claim a sample or population standard deviation is needed.

We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.

NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=4\\\\H_a:\mu< 4$

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902$

The degrees of freedom for this sample size are:

$df=n-1=500-1=499$

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

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3 years ago