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eimsori [14]
2 years ago
5

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviatio

n of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.
a. What is the distribution of X? X ~ N(,)

b. Find the probability that a randomly selected person's IQ is over 107. Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.

d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.
Q1:
Q3:
IQR:
Mathematics
1 answer:
DENIUS [597]2 years ago
5 0

Answer:

Step-by-step explanation:

N(106,14²)

(calculated using excel, let me know if you were supposed to use a normal table) = 0.4715

85.34

Q1:96.56

Q3:115.44

IQR (which is Q3-Q1)= 115.44-96.56= 18.88

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Find the Area of the Shaded Region.
agasfer [191]

Answer:

I think it should be 32

Step-by-step explanation:

11 x 7= 77

9 x 5=45

77-45=32

3 0
3 years ago
Which expressions are equivalent??
Brilliant_brown [7]

<u>Given</u>:

The given expression is 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right)

We need to determine the equivalent expression.

<u>Option A:</u> -1

Solving the expression, we get;

\frac{3}{2} x+14-\frac{3}{2} x+15

Simplifying, we get;

14+15=29

Thus, the expression 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right) is not equivalent to -1.

Hence, Option A is not the correct answer.

<u>Option B</u>: 29

Solving the expression, we get;

\frac{3}{2} x+14-\frac{3}{2} x+15

Simplifying, we get;

14+15=29

Thus, the expression 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right) is equivalent to 29.

Hence, Option B is the correct answer.

<u>Option C</u>: 2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]

Let us rewrite the given expression.

2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]

Thus, the expression 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right) is equivalent to 2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]

Thus, Option C is the correct answer.

<u>Option D</u>: 2\left(\frac{3}{4} x\right)+2(7)+3\left(\frac{1}{2} x\right)+3(-5)

Rewriting the expression, we get;

2\left(\frac{3}{4} x+7\right)+(-3)\left[\frac{1}{2} x+(-5)\right]

Hence, the expression 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right) is equivalent not to 2\left(\frac{3}{4} x\right)+2(7)+3\left(\frac{1}{2} x\right)+3(-5)

Thus, Option D is not the correct answer.

<u>Option E:</u> 2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)

Multiplying the terms within the bracket, we get;

2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)

Hence, the expression 2\left(\frac{3}{4} x+7\right)-3\left(\frac{1}{2} x-5\right) is equivalent to 2\left(\frac{3}{4} x\right)+2(7)+(-3)\left(\frac{1}{2} x\right)+(-3)(-5)

Thus, Option E is the correct answer.

4 0
3 years ago
What is the explicit equation for this series 25,21,17,13
Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

a_n=a_1+d(n-1)

The given sequence is 25,21,17,13

a_1=25

d=21-25

d=-4

We plug in the values into the formula to get;

a_n=25+-4(n-1)

a_n=25-4n+4

a_n=29-4n

6 0
3 years ago
You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
Lelu [443]
Circular pen means you are going to use Area = Pi(r^2). 

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
8 0
3 years ago
Reed is currently r years old. Which expression represents his age seven years from now
lyudmila [28]

Answer: r+7

Whatever his age is now, we add 7 to it. So we simply add 7 to r getting r+7.

Example: Say he is 10 years old now

r = 10

r+7 = 10+7 = 17

meaning he will be 17 seven years from now

7 0
3 years ago
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