Mathematics College

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Find The Area Of The Shaded Region. The Graph To The Right Depicts IQ Scores Of Adults, And Those Scores

Answers

Answer 1

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

Related Questions

he sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?

x + (x + 6) = 60
x − (x + 6) = 60
x(x + 6) = 60
x(x− 6) = 60

Answers

Answer:

x+(x+6)=60

Since the greater number is six more than the smaller number, the variable value will be of the smaller number. And since the bigger number is six more than the smaller number, it needs to be in parantheses as x plus six. But, since the value of both the numbers is sixty, the equation will finally become x+(x+6)=60

the 80th term of an arithmetic sequence is 110.75 and the common difference is 1.25. What is the first term of the sequence?

Answers

Answer:

12

Just plug it in [the equation] to try it to

solbe for x : x-1/x+3x+3=0​

Answers

Answer:

x=1/4 or x=-1

Step-by-step explanation:

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1

бx + 8 = 50
I need that answer

Answers

Answer:

=

7

Step-by-step explanation:

Two parallel lines are crossed by a transversal,
What is the value of x?
x = 21
x = 28
x=35
115
x 37

Answers

It is 37
Yes do you need a solution

The solution is, the value of x is, 115, as Angle x =  angle 115°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Given : Two parallel lines are crossed by a transversal.

To find :  What is the value of x.

Solution : We have given Two parallel lines are crossed by a transversal.

Corresponding angles : A pair of angle that lies on the same side of the  transversal line one lies on interior angle and other lies on exterior.

Corresponding angle are equal.

Then , angle x =  angle 115 are corresponding.

Therefore, angle x = angle 115.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize

Answers

Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

Estimate the square root of the imperfect square of 18.

Answers

Answer:

18 times four is 72

Step-by-step explanation:

Help me please! I need help ASAP.

Answers

Answer:

the answer is B

Step-by-step explanation:

I’m pretty sure the answer is b

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

The price of a pair of shoes increases from $69 to $73. What is the percent increase to the nearest percent?

Answers


Answer: 5.79% or 5.8%

Step 1: Calculate the change by subtracting old cost ($69) from the new cost ($73)
Step 2: Divide that change by the old cost ($69). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%

Have a great rest of your day!

If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?

Answers

Answer:2n+2

Step-by-step explanation:

show that: (1-sin x)/(cos x)=(sec x - tan x)​

Answers

This is the step-by-step explanation

Please answer correctly, I’ll give brainlest.

Answers

Your picture isn’t coming up

Answer:

[tex] \sqrt{170} [/tex]

10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has

Answers

10.Yes
11.Number 3

I hope this helps
Yes it’s a function and A the amount of candy

What is the opposite of -9

Answers

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

Help ASAP!!!.

Simplify the expression:
2x + 1 + 7x

Answers

9x + 1

combine like terms.

2x−5y−z=17
x+y+3z=19
−4x+6y+z=−20

Answers

You want us to answer all 3??

Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10

Answers

Answer:

a.) x>-1

b.) x/1 - 9 < -10

Step-by-step explanation:

a.)

5(x - 2) > -15

(divide both sides)

x-2>-3

(move the constant to the right)

x>-3+2

(calculate)

x>-1

(answer)

b.)

x/1 - 9 < -10

(divide)

x-9<-10

(move the constant to the right)

x<-10+9

(calculate)

x/1 - 9 < -10

(answer)


Steam
To save money for his daughter's college tuition, All Invests $250 every quarter in an annuity that pays 6.2% Interest, compounded quarterly
Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years
Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the list of financial formulas

Answers

Answer:

5436

Step-by-step explanation:

take 6.2 and ÷ 250 then × it by 22

how many metric tons are in 834.8 mg?​

Answers

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:

What is the answer to thus ...?

Answers

(10/7)/(3/7) can be KCF method into (10/7)•(7/3)= 3.33 or 10/3

Help me Please with this Math ;(

Answers

5. The answer is 0.45 kg/pounds

6. The answer is 32 dollars per hour from (0,2)

7. The answer is 32 dollars per hour from (2,4)

Describe a transformation that could be used to show that alternate interior angles are congruent.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Let 'l' be the original line having one angle ∠BAC.

If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.

Since, measure of angles are preserved in the translation,

m∠BDE = m∠BAC [corresponding angles]

Since, ∠BDE ≅ ∠MDA [Vertical angles]

Therefore, m∠MDA = m∠BAC

Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.

What is the measure of angle b?

Answers

Answer:

if those lines are parallel, then the m∠ = 92°

Step-by-step explanation:

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

Question 2
1 pts
Between what two consecutive whole
numbers does
Square root212
lie?

Answers

I assume its 14 and 15

AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?

Answers

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

An airplane leaves a runway at an angle of 0 .when the airplane has reached an altitude of 5000 feet it has traveled 10,000 feet in the direction it took off.At what angle (0) did the airplane leave the runway ?

Answers

Answer: no

Step-by-step explanation: if it left then it would have to be angled at least a little bit.

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Juana had a board that was 54 inches long. She cut off 22.5 inches for a project. How may inches of the board remain?

Answers

Answer:

Step-by-step explanation:

4+2=5

-2323

asdasd

She has 31.5 inches remaining.

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

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