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Ne4ueva [31]
3 years ago
15

Given that z is a standard normal random variable, find z for each situation. The area to the right of z is .1314. (Round to two

decimal places) Answer The area to the left of z is .6700. (Round to two decimal places) Answer .44 The area to the right of z is .01. (Round to two decimal places) Answer
Mathematics
1 answer:
Mumz [18]3 years ago
6 0

Answer:

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

P(Z>0.1314) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.1314,0,1,TRUE)"  or the standard normal table

P(Z

We can use the following excel code: "=NORM.DIST(0.75,0,1,TRUE)"  or the standard normal table.

P(Z>0.01) = 1-P(Z

We can use the following excel code: "=1-NORM.DIST(0.01,0,1,TRUE)"  or the standard normal table

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Step-by-step explanation:

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The original price of a watch was $109.it was on sale for 100.28.what was the discount rate
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Find the diameter of a circle with an area of 95.03 square feet
Leona [35]

Answer:

diameter ≈ 11 feet

Step-by-step explanation:

The area (A) of a circle is calculated using the formula

A = πr² ← r is the radius

To find r divide both sides of the equation by π

r² = \frac{A}{\pi } = \frac{95.03}{\pi }

Take the square root of both sides

r = \sqrt{\frac{95.03}{\pi } } ≈ 5.5 feet

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3 0
3 years ago
Which transformations could have been used to create A'B'C'? Choose all that apply.
Eduardwww [97]

The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.

<h3>Which transformation is used to get A'B'C'?</h3>

To analyze this we can only follow one of the vertices of the triangle.

Let's follow A.

A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:

(-3, -4)

Now if you look at A', you can see that the coordinates are:

A' = (-4, -1)

To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.

Then the complete transformation is:

A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

6 0
2 years ago
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