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4 years ago

Please type your answers, i can't view other peoples images on here.

Mathematics

1 answer:

lianna [129]4 years ago

7 0

Answer:

Step-by-step explanation:

Since f(x) = 4 $x^{2}$ + $x^{4}$ and g(x) = $\sqrt (x^{2}+4)$ ,

(f g) (x) = f( x ) * g( x ) = ( 4 $x^{2}$ + $x^{4}$ ) ( $x^{2}$ +4 )^(1/2)

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A basketball team averaged 105 points per game how many points did the team score in 6 games

Jobisdone [24]

6 * 105 = 630

the team scored approximately 630 points in 6 games.

8 0

3 years ago

A recipe that serves 8 people requires 4 1/2 cup of flour how much do you need to serve for 24 people

Rainbow [258]

Answer:

You would need thirteen and a half( $13\frac{1}{2}$ ) cups of flour.

Step-by-step explanation:

You can find this by taking $4\frac{1}{2}$ and multiplying it by 3, since 24/8=3. This gives you $13\frac{1}{2}$ .

3 0

3 years ago

PLEASE HELP! will give points, no step by step needed

matrenka [14]

Answer:

the total cost would be $15,900

7 0

4 years ago

Find the mean: 31, 1, 12, 2, 21, 22, 1, 0, 31, 13

Bond [772]

The mean is 13.4 because after I add the numbers in the set, the sum comes out to be 134. There are 10 numbers in the set, so you divide 134 by 10, which is 13.4 (134 ÷ 10 = 13.4). That is how you get the mean. It's "mean" to you because you 'gotta do a lot of work to get your final mean.

5 0

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.

5 0

3 years ago