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

Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten

Answers

Answer:

[tex]\frac{1}{10} h\leq 10[/tex]

Step-by-step explanation:

Basically, we are just translating the phrase into an algebraic expression.

What equation is equivalent to 3x+6=4x+7

Answers

Answer:

x=-1

Step-by-step explanation:

The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).

3x+6=4x+7

-3x    -3x

6=x+7

All we need to do now is subtract 7 on both sides.

6=x+7

-7    -7

-1=x  or  x=-1  (they both mean the same thing!)

Hope this helps!! Have a wonderful day c:

2r(2.59 + 10) - 3(r + 4) + s(r - 1)?
equivalent?

Answers

Answer:

2.30 is going to be your anwer

Step-by-step explanation:

(Look at picture.............)

Answers

Answer:

3460

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

imin middle school

The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
Armando read 15% of his 46-page book.
Billy read 11% of his 72-page book.
Robert read 12% of his 68-page book.
Joel read 14% of his 69-page book.

Who can read the greatest number of pages in a day?


a Armando
b Joel
c Billy
d Robert

Answers

B Joel hope this helps

Answer: B. Joel

hope this helps :}

what is the dacimal form of 672.937%​

Answers

Answer:

6.72937

Step-by-step explanation:

672.937%​

(calculate)

[tex]\frac{672.937}{100}[/tex]

(convert the expression)

6.72937

(there's your answer)

how would I graph 9x + 11 > 3(x + 4)-12 +6x ?

Answers

9514 1404 393

Answer:

  shade the entire number line and put arrows at each end

Step-by-step explanation:

Solve for x.

  9x +11 > 3(x +4) -12 +6x

  9x +11 > 3x +12 -12 +6x . . . . eliminate parentheses

  9x +11 > 9x . . . . . collect terms

  11 > 0 . . . . . . . . .  subtract 9x

This is true for all values of x.

The graph would be the entire number line.

Please help will give brainliest answer

Answers

Answer:

side C'D' = 2.8 units

Step-by-step explanation:

Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)

Therefore side C'D' = 2.8 units

Side cd is 2.8 units

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided

Answers

Answer:

I think it's d. C and D

Step-by-step explanation:

it needs to be 20 characters long so don't mind this part

Answer: is B. table A and Table B

Step-by-step explanation:

equivalent fractions for 2 1/5 and 1 5/6 with common denominator 30

Answers

Answer:

[tex]\frac{66}{30} and \frac{55}{30}[/tex]

Step-by-step explanation:

Firstly, let's get the fractions out of mixed form.

2 1/5 = 11/5

(To do this, multiply 2 times 5 and add to the 1.)

1 5/6 = 11/6

(To do this, multiply 1 times 6 and add to the 5.)

Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.

[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]

and

[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]

Solve by substitution: y = 3x + 4 and y = -2x – 1.

Answers

Answer:

x = -1

y = 1

Step-by-step explanation:

y = 3x+4

y = -2x-1

-2x-1 = 3x+4

-5x - 1 = 4

-5x = 5

x = -1

Substitute this x value into 1 of the equations given in the problem:

y = 3(-1)+4

y = -3+4

y = 1

Answer: the answer to x= -1 and y= 1

Eric picks 58 basket of strawberries. Kiki picks 15 basket of strawberries.

Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?



A 0 baskets

B 12 basket

C 34 basket​

D 1 basket

Answers

Answer:

C- 34 baskets.

Step-by-step explanation:

Since the answer to the actual problem is 43, it would make sense to pick the number closest to that, which is 34. hope this helps <3

-brooke :)

Answer:

1/2 basket

Step-by-step explanation:

confirmed!

i mark as brainliest ​

Answers

Answer:

the third one

Step-by-step explanation:

if im wrong you don't have to mark as braniest

what is the circumfernce of a circle with a diameter of 10​

Answers

Answer:

C≈31.42

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·10≈31.41593

Nora has to buy party supplies and can spend no more than $50. Nora must buy 8
party favors, p, and she will also purchase a cake fore $10. Write an inequality that
represents the situation, and find possible solutions.

Answers

Answer:

50=10+c

Step-by-step explanation:

oliver runs a mile in 6 minutes. he left his house and ran 2 miles north, 3 miles east, then run back to his house. what was the total distance of olivers run

Answers

Answer:

10 miles

Step-by-step explanation:

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?

Answers

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

write a word phrase for x/4-17

Answers

Answer:

a number  x  divided by four, minus seventeen

or

seventeen less than a quarter of a number  x

or

a quarter of  x  take away seventeen

Step-by-step explanation:

There's a variable in the expression so we can just say "a number x". We are dividing that unknown number by four, so we can say x divided by four, or since dividing by four is multiplying by one fourth, we can say one fourth of x  or a quarter of x  (especially since 'of' in math means multiplication).  Then we have to subtract seventeen. We could leave it as minus seventeen at the end, or we could say seventeen less than a fourth of x or take away seventeen. As can be seen, there are numerous ways to go about 'verbalizing' the expression, or any expression for that matter. Think creatively!

Six times the sum of a number and eight is 18 find the number

Answers

Answer:

-5

Step-by-step explanation:

Find the number with the equation 6(x + 8) = 18

solve for x to get -5

Step-by-step explanation:

6*(x+8)=18

x+8=18/6=3

x=3-8=-5

prove

(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=

3+3+3+3+3+3=18

How do you do this question?

Answers

Answers:

[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]

Based on the limit comparison test, the series is convergent

========================================================

Explanation:

As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.

In other words,

[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]

That -2 doesn't really play a role when n gets very large.

This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.

So,

[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]

[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]

Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.

----------------------------

If we plug n = 2 into the [tex]b_n[/tex] sequence, we get

[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]

The first term is a = 1/9

If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]

This shows that the common ratio is r = 1/3

Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.

Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.

We've shown that the b series converges, so the 'a' series must converge as well.

Anybody Know This Answer Well. ?

Answers

Answer:

no srry

Step-by-step explanation:

No sorry ur welcome

A migrating bird flies 688 miles in 16 hours. How many miles does it fly in 5 ​hours?

Answers

Answer:

In 5 hours, the migrating bird will frly 215 miles.

Step-by-step explanation:

Since the bird flys 688 miles in 16 hours we need to find the unit rate. So i divided 16 by the 16 hours which gave me 1, so i also divided 688 by 16 and i got 43. So the bird flys 43 miles in a hour. We are not done yet because we need to find how many miles in 5 hours. So we multiply the 43 miles by 5 and got 215, and i also multiplied the 1 hour bye 5 and got 5. Last but not least, the migrating bird will fly 215 miles in 5 hours. I hope that this will help you out.

Free pints get it lolololo​

Answers

Answer:

Yayee

Step-by-step explanation:

Hahahahahha
Jags rvhdv f hdidbdjbfjfoc. S in thrift Nd

pls help will give brainliest

Answers

Answer:3rd one

Step-by-step explanation:

it was wrong it is actually 0.29 or .29

Answers

Answer:

Form what?

Step-by-step explanation:

Step-by-step explanation:

what are you taking about ?

can you guys help me and can you tell me by number

Answers

Answer:20

Step-by-step explanation:160÷8=20

lincoln middle school has a total of $200 to spend on notebooks and tablets

Answers

Answer:

Oh um ok. Is there supposed to be like a 2nd part to this??

Step-by-step explanation:

5/6x6/7=?? Please answer

Answers

[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]

[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

lena has bought 10 pounds of dog food. she feed her dog 2/5 pounds for each meal for how many meals will the food last​

Answers

Answer:

25

Step-by-step explanation:

10÷2/5

=10•5/2

=5•5

=25

Hi Guys

Please answer this question. I will choose Brainliest.

Also please do a step by step method.

Worth 10 points and it is a Maths question.

Cheers,
Jake

Answers

Answer:

In simplifying this is simple.

2-4 x + 3x-12.2x+9x2-x-12
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