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Lemur [1.5K]
3 years ago
10

Hamlet spins the spinner 13 times, and it stops at the letter R 9 times. If he spins the spinner a 14th time, what is the theore

tical probability that this time it will stop at the letter R? 1 / 14 1 / 13 1 / 9 1 / 8
Mathematics
2 answers:
Hatshy [7]3 years ago
8 0
Hello!

The theoretical probability means what is the expected chance it would happen

Th find this you do the amount of favorable outcomes over the total amount of outcomes

There are 8 outcomes and only 1 is R

This is a 1 / 8 probability

The answer is 1 / 8

Hope this helps!
wlad13 [49]3 years ago
7 0
I THINK 1 over 8 not sure tho
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An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
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Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
3 years ago
Peyton has collected 120 aluminum cans for recycling. If 20 cans will fit in each blue plastic bag, how many bags will she need
gogolik [260]

Hi Renee!

--------------------------------------------

We Know:

120 aluminum cans.

20 cans fit in each blue bag.

--------------------------------------------

Solution:

120 / 20 = 6

--------------------------------------------

Answer:

She will need 6 bags to carry all the aluminum cans.

--------------------------------------------

Hope This Helps :)

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3 years ago
An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the
notka56 [123]
C. 1/12
The answer should be C. 1/12.
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Lostsunrise [7]

9514 1404 393

Answer:

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Step-by-step explanation:

To find the desired angle, subtract multiplies of 2π until the angle is in the desired range.

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The angle θC = π/4 is coterminal with θ = 9π/4.

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Daniel has lunch at a restaurant and the cost of his meal is $49.00, because of the service, he wants to leave a 5% tip. what is
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