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damaskus [11]
3 years ago
8

Sandy spun a spinner with 5 equal parts labeled 1-5. What is the probability she will Not spin a 4

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
The probability is likely but not impossible. there is a 4/5 chance she will not spend a four.
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A history exam features five questions. Three of the questions are multiple-choice with four options each. The other two questio
nadezda [96]

There are total 500 ways in which Caroline can answer the exam.

Step-by-step explanation:

Here, the total number of questions in the test  = 5

The total number of multiple choice questions = 3

The total number of True/False question = 2

Let the numbers of the given question be 1,2 ,3,4, and 5.

Now, the total number of options available to answer question 1 = 5 options

Similarly,  number of options available to answer question 2 = 5 options

The number of options available to answer question 3 = 5 options

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The number of options available to answer question 5 = 2 options ( T or F)

So, here the total available options to answer all 5 questions

= The total option available for  question ( 1 x 2 x 3 x 4 x 5)

= ( 5 ways  x 5 ways x 5 ways x 2 ways x 2 ways)

= 500 ways

Hence, there are total 500 ways in which Caroline can answer the exam.

8 0
3 years ago
A lumber company is making boards that are 2920.0 millimeters tall. If the boards are too long they must be trimmed, and if the
Effectus [21]

Answer:

The value of the test statistic is of 0.22.

Step-by-step explanation:

Our test statistic is:

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

In which X is the sample mean, \mu is the expected mean, \sigma is the standard deviation(square root of the variance) and n is the size of the sample.

A lumber company is making boards that are 2920.0 millimeters tall.

This means that \mu = 2920.

A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.

This means that X = 2922.7, n = 12, \sigma = \sqrt{121} = 11. So

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

t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}

t = 0.22

The value of the test statistic is of 0.22.

4 0
2 years ago
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