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Neko [114]
3 years ago
14

A cheetah runs at a speed of 56 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which e

quation shows the relationship between d and t? t = 56d
d = 56t
d = 56 + t
t = 56 + d
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0
D=56t because if t is hrs then u would multiply 56 and t to find the miles per hour
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A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to
Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = population average weight of a cereal box</em></u>

So, Null Hypothesis, H_0 : \mu = 13 ounces    {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, H_A : \mu \neq 13 ounces    {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average weight = 12.85 ounces

            \sigma = sample standard deviation = 0.75 ounces

            n = sample of boxes = 36

So, <u><em>test statistics</em></u>  =  \frac{12.85-13}{\frac{0.75}{\sqrt{36} } }  ~ t_3_5

                               =  -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, <u>the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test</u>.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0
3 years ago
A chef buys a 1-gallon jug of milk for a cookie recipe. He first uses 1/4 of the milk. Then he uses 2/3 of the remaining milk. H
inn [45]

Answer:

1/12 of a jug is what is left

3 0
3 years ago
David rents DVDS from a company that changes a $7.00 monthly fee and $1.50 for each dvd rental. He ends up paying $20.50 for the
serious [3.7K]
1.5x + 7 = 20.5
First subtract 7 from both sides
1.5x = 13.5
Then divide both sides by 1.5
x = 9


Let me know in comments if you have questions
3 0
2 years ago
An auto dealership wants to know the average amount of money its customers can spend on a car. The dealership surveys 50 random
KonstantinChe [14]

Hi I would have to say 350

6 0
2 years ago
Read 2 more answers
Ebony earned scores of 72 70, 81, 99, and 88 on five math tests. Determine her
Minchanka [31]

Let it be x

\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}

\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83

\\ \sf\longmapsto \dfrac{410+x}{6}=83

\\ \sf\longmapsto 410+x=498

\\ \sf\longmapsto x=498-410

\\ \sf\longmapsto x=88

6 0
3 years ago
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