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tatuchka [14]
4 years ago
9

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of

0 and a standard deviation of 1. Find the probability that a given score is between negative 2.13 and 3.88 and draw a sketch of the region.

Mathematics
1 answer:
aev [14]4 years ago
3 0

Answer: 0.9834

Step-by-step explanation:

Given : The test scores are normally distributed with

Mean : \mu=\ 0

Standard deviation :\sigma= 1

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = -2.13

z=\dfrac{-2.13-0}{1}=-2.13

For x = 3.88

z=\dfrac{3.88-0}{1}=3.88

The p-value = P(-2.13

0.9999477-0.0165858=0.9833619\approx0.9834

Hence, the probability that a given score is between negative 2.13 and 3.88 = 0.9834

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Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25,
Ghella [55]

Answer:

27

Step-by-step explanation:

To get the median, we line the values up from lowest to greatest.

23, 25, 25, 27, 32, 35, 36

What's the number in the middle? Since there's an odd number of values, it's easier to see: the median is 27.

6 0
3 years ago
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After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day
IceJOKER [234]

Answer:

15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.

Step-by-step explanation:

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8 0
3 years ago
Find the area of the shaded region of the circle. Round to the nearest hundredth.
Vanyuwa [196]

Answer:Area of shaded region is 454.97

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area of circle = πr^2

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

r = 14

Area of the circle = 3.14 × 14^2 = 615.44

The shaded area is a sector

Area of a sector is expressed as

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Area of sector = 94/360 × 3.14 × 14

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Area of shaded region would be

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7 0
3 years ago
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More, less or equal to: <br> Absolute 4 or Absolute 1
Sloan [31]

|4| > |1|

Absolute value of 4 is just 4, and the abosulute valvue of 1 is just 1.

So , since 4 is greater than 1 , that would be your answer.

4 > 1


7 0
3 years ago
I need Help. I need Help. I need Help. I need Help. I need Help. I need Help. I need Help. I need Help. I need Help. I need Help
Molodets [167]

Answer:

x = (125,0)    y = (0,275)

Step-by-step explanation:

I think this is right, good luck!

5 0
2 years ago
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