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.)

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]

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)

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.

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.

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

Answer:

2.30 is going to be your anwer

Step-by-step explanation:

Answer:

C≈31.42

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·10≈31.41593

Answer:

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

Step-by-step explanation:

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

Answer:

50=10+c

Step-by-step explanation:

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

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:

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.

Answer:

the third one

Step-by-step explanation:

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

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.

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

Answer:

3460

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

imin middle school

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

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Answer:20

Step-by-step explanation:160÷8=20

Answer:

Yayee

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

10÷2/5

=10•5/2

=5•5

=25

Answer:

Form what?

Step-by-step explanation:

Step-by-step explanation:

what are you taking about ?

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!

Answer:

no srry

Step-by-step explanation:

Answer: B. Joel

hope this helps :}

Answer:3rd one

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

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:

Answer:

In simplifying this is simple.

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!