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nirvana33 [79]
2 years ago
12

A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answe

r as a fraction.
Mathematics
1 answer:
Veronika [31]2 years ago
4 0

Answer:

17/3

Step-by-step explanation:

to find out the width, we need to divide the area by the length.

68/12=5.666666667

fraction form: 17/3 (5 2/3)

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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
How many different ways can you find for 7 coins totaling 95 cents?​
MatroZZZ [7]

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

3 0
2 years ago
146*146<br><br> i will mark you the MOST brainlest PERSON on Earth
Katyanochek1 [597]

Answer:

21,316! hope that helps lol

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Answer:

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Step-by-step explanation:

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Solve the equation for x.
DiKsa [7]
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3 years ago
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