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3 years ago

WILL GIVE BRAINLIEST!!!

Mathematics

1 answer:

Nostrana [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Mn=PQ

SAS requires 2 sides and you need to know that they are congruent

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A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cer

ss7ja [257]

Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:

$H_0: \mu \leq 368$

At the alternative hypothesis, it is tested if it contains, that is:

$H_1: \mu > 368$

We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

In this problem, the values of the parameters are: $\overline{x} = 372.5, \mu = 368, s = 15, n = 25$ .

Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}$

$t = 1.5$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of $t^{\ast} = 1.71$ .

Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.

You can learn more about the use of the t-distribution to test an hypothesis at brainly.com/question/13873630

6 0

2 years ago

Factor the trinomial below.

liberstina [14]

after you use the FOIL method (just multiplying everything) you'll get x^2 - 8x - 5x + 40. now just add the like terms

5 0

3 years ago

Read 2 more answers

16x+3-14x+15 Simplify

riadik2000 [5.3K]

Answer:

2x + 18

Step-by-step explanation:

1) add the numbers

16x + 3 - 14x + 15

16x + 18 - 14 x

2) combine like terms

16x + 18-14x

2x + 18

6 0

3 years ago

Read 2 more answers

What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative p

yanalaym [24]

The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is $f(x) =3cos(0.5x+\pi )$ .

<h3>What is a function?</h3>

A function is a rule that relates two variables.

The parent function is:

$f(x)=cosx$

We know the period of the parent function is 2π and the amplitude is 1.

For an amplitude of 3, we need to multiply the parent function by 3.

So, the function with amplitude 3 will be given by:

$f(x) =3cosx$

For a period of 4π, we need to make the argument of the parent function half.

So, $f(x) = 3cos(0.5x)$

A horizontal shift of negative π means, f(x) will become f(x+π)

So, $f(x) =3cos(0.5x+\pi )$ .

Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is $f(x) =3cos(0.5x+\pi )$ .

To get more about function visit:

brainly.com/question/17043948

6 0

2 years ago

What is the equation 9-x2=9

mart [117]

X = O, because 9-2*0 equals 9

3 0

3 years ago