The SAT is standardized to be normally distributed with a mean µ = 500 and a standard deviation σ = 100. What percentage of SAT scores falls:_____.
a. Between 500 and 600? the answer says 34.13% <<< how do you get to that???
b. Between 400 and 600?

Answers

Answer 1

Answer:

34.134%

68.268%

Step-by-step explanation:

Given that:

Mean (m) = 500

Standard deviation (s) = 100

Percentage between 500 and 600

P(500 < x < 600)

P(x < 600) - P(x < 500)

Z = (x - m) / s

P(x < 600)

Z = (600 - 500) /100 = 1

P(x < 500)

Z = (500 - 500) / 500 = 0

P(Z< 1) - P(Z < 0)

0.84134 - 0.5

= 0.34134

= 0.34134 * 100%

= 34.134%

B.) Between 400 and 600

P(x < 400)

Z = (400 - 500) /100 = - 1

P(x < 600)

Z = (600 - 500) / 500 = 1

P(Z< 1 ) - P(Z < - 1)

0.84134 - 0.15866

= 0.68268

= 0.68268 * 100%

= 68.268%


Related Questions

Use the line of best fit to determine the y-value when the x-value is 7.

A. 25
B. 37
C.53
D.42

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Answer:

53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

what is the equation in point-slope form of the line passing through (2,5) and (-1,8)?

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Answer:

y=-1x+7

Step-by-step explanation:

Find the vertex angle of the figure below B = 40 egrees

Answers

Step-by-step explanation:

it's an Equilateral triangle

the base angels are equal

A=100°

B=40°

C=40°

The required vertex angle will be  100° in the given figure.

What is an Isosceles Triangle?

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

The triangle given in the figure is an Isosceles triangle.

It is given that side AB is equal to side AC.

So ∠B = ∠C = 40°

Now we know that the sum of angles of a triangle is equal to 180°. So here in this triangle ABC. These are the sum of these three angles will be equal to 180.

As per the given figure,

∠A + ∠B +∠C = 180°

∵ ∠B = ∠C = 40°

∠A + 40° +40° = 180°

∠A + 80° = 180°

∠A = 180° - 80°

∠A = 100°

Therefore, the required vertex angle will be  100° in the given figure.

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What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

PLS PLS HELP!!!! Write and solve an inequality to find the possible values or x if the area of the
rectangle is < 56 feet squared.
2 ft
(3x + 4) ft

Answers

Answer:

width=2 ft, length=(3x+4)ft

Area of Rectangle=width x length

                             =2ft . (3x+4)ft

                             =6x+8 ft sq

Area of Rectangle <56 ft sq

6x+8 ft sq <56 ft sq

6x  < 56 ft sq - 8 ft sq

6x <  48 ft sq                       Substeracting  8  on both sides

6x/6 < 48 ft sq/6                 Dividing by    6 on both sides  

x < 8 ft sq

Step-by-step explanation:

(R/s)(3) = ? Please hurry

Answers

Maybe this is what your looking for.

What is the volume of a frustum of a right pyramid with the area of the lower base square to 100 square inches, the area of the upper base equal to 25 square inche,and the altitude equal to 12 inches

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Answer:

1

Step-by-step explanation:

The time required to empty a tank varies as inversely as the rate of pumping. If a pump can empty a tank in 45 min at the rate of 600 kl/min, how long will it take the pump to empty the same tank at the rate of 1000 kl/min?

Answers

okk

Step-by-step explanation:

hii

am

Jack

from

United State

America

Answer:

27 minutes.

Step-by-step explanation:

R = k/t

Substituting given info

600 = k/45

k = 45 * 600 = 27000

So the relation is S = 27000/t

So if R = 1000

1000 = 27000/t

t = 27000/ 1000

t = 27.

To solve 5/7 - 2/n = 1/21

Answers

Answer:

Step-by-step explanation:

Lol u think AM smArt to hice You the answer

Beth left to drive to the airport 105 minutes before her flight was scheduled to
depart. If she arrived at the airport 70 minutes early for her flight, how long
did it take her to drive to the airport?

Answers

Answer:

35 minutes

Step-by-step explanation:

105 - 70 gives you 35

In one house , there are 5 hens, 10 goats and 8 cows. there are some man to look after them. If the number of heads is less than 65, then the number of man will be​

Answers

Answer:

Pretty sure is 42

Step-by-step explanation:

5+10+8=23

65-23=42

The number of men will be​ 42 if there are 5 hens, 10 goats, and 8 cows.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

In one house, there are 5 hens, 10 goats, and 8 cows.

Let H be man's head

H < 65

Total heads = 5 + 10 + 8 =23

Man's heds = 65 - 23 = 42

Thus, the number of men will be​ 42 if there are 5 hens, 10 goats, and 8 cows.

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I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Answer:

Mortgage cost: $213,000, cost per year: $10,650

Step-by-step explanation:

245000-45000 = 200,000 (the mortgage).

The total cost of the mortgage (t) is: 200000(6.5%)+200000.

t = 213,000

cost per year: 213000/20 = 10,650

What expression is equivalent to
15n + 20r

Answers

Answer: 5(3n+4r)

Step-by-step explanation:You need to find the gcf/factor .So the gcf of 15 and 20 is 5.So know that you know the gcf ,you divide 15n by 5 which gives you 3n and divide 20r by5 which gives you 4r.Now the last thing you do is,take the GCF which is 5 and place a Parentheses and take 3n and 4r and add them together.

So you get 5(3n+4r) as your expression that  is equivalent to  15n + 20r .

Hope it helps . :)

would y=x be proportional or nonproportional?​

Answers

Nonproportional! Hope that helps!
Nonproporcional for sure

plz answer the question step by step

Answers

Answer: x = 59°, y = 114°.

Step-by-step explanation:

The sum of the opposite angles of a quadrilateral in a circle is 180°.

y = 180° - 121° = 59°

The two angles being adjacent makes a total angle of 180° on the straight line.

x = 180° - (180°-114°) = 180° - 66° = 114°

The points (-2, 6) and (3, __ ) are data values of an inverse variation. Fill in the missing value.

Answers

Answer: y=6

Step-by-step explanation:

It is inverse so you know it’s y=k/x. Taking the first orders pair you find that k= -12. Then if you put it in y= -12/-2 you get 6 therefore y=6. Your welcome

A student estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error for her estimate?

Answers

Answer:

Overage of actual vs. predicted: 2 hours

Step-by-step explanation:

Her Error is 100(2/3) = 66.7%

can someone help please this is due tomorrow

Answers

1. 4(6+4)
2. 5(1+3)
3. 4(4+5)
4. 4(1+2)
5. 5(2+5)
6. 12(1+3)
7. 24(1+3)
8. 8(5+2)
9. 5(4+10)
10. 4(3+11)
11. 6(6+7)
12. 10(1+6)

24+16 ║ 4(6+4) or 8(3+2)

5+15   ║ 5(1+3)

16+20 ║ 4(4+5)

4+8     ║4(1+2) or 2(2+4)      

10+25 ║ 5(2+5)

12+36 ║ 12(1+3)

24+72 ║24(1+3) or 12(2+6)

40+96 ║8(5+12)

20+50 ║10(1+6)

12+44  ║4(3+11)

36+42 ║6(6+7)

10+60  ║ 10(2+5)

Vector B has x, y, and z components of 3, 7.2,
and 4.5 units, respectively.
Calculate the magnitude of B

Answers

Answer:

[tex]\approx 9.0\:\mathrm{units}[/tex]

Step-by-step explanation:

The magnitude of 3D vector [tex]\vec{v}[/tex] can be given by the following:

[tex]| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}[/tex]

Plugging in given values, we have:

[tex]| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}[/tex].

The function f(x)= 3/4(10)-x is reflected across the x-axis to creat the function g(x). Which ordered pair is on g(x)?

Answers

Answer:

c

Step-by-step explanation:

did it on edge 2021

I’ll pay you if you help me

Answers

Answer: help you with what?

Step-by-step explanation:.-.

Haha. No need of money. But ask the question..

waiting..

Does anyone know how to do this ?

Answers

Answer:20

Step-by-step explanation:

20 ounces of cheese.

The graph shows the function f(x) =2*x what is the value of x when f(x)=8

Answers

Answer:

f(x)= 2ˣ

We have to find x when f(x) is 8

8=2ˣ

we can write 8 in exponential form as 2³

2³=2ˣ

here base is same (2) on both left and right side

comparing the powers we get

x=3

:)

Answer:

x=4

Step-by-step explanation:

since f(x )=8

8=2*x

we divide by 2 both side

so,

x=4

A: The perimeter of a rectangular garden is 376 m. If the length of the garden is 99 m, what is its width?

B: The area of a rectangular window is 7007 cm If the width of the window is 77 cm, what is his length? ​

Answers

Answer:

A) the width is 89

B) if area is 7007, the length is 91

Step-by-step explanation:

Answer:

A: 89 m

B: 91 m

Step-by-step explanation:

A: P=2(L+W)

   P=2L+2W

P=2(99)+2W

2W=376-198=178

W=178/2=89m

B: A=L×W

   7007=L×77

L=7007/77=91

L=9l m

Find the surface area of the rectangular prism using its net

Answers

Answer:

62

Step-by-step explanation:

3 x 5 = 15

3 x 2 = 6

2 x 5 = 10

15 x 2 = 30

6 x 2 = 12

10 x 2 = 20

30 + 12 + 20 = 62

A figure in the first quadrant is translated down and to the right. Is it known what quadrant the image is in?

Answers

The figure would be in quadrant 3 now

please help.. omgg urgent

Answers

the top one. they can't be expressed in a fraction or decimal

the awnser is the first option.

how do you divide a whole number by a fraction​

Answers

Answer:Multiply the denominator on the bottom of the fraction by the whole number you are dividing by.

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number.

The denominator on the bottom of the fraction is 7.

We will multiply 7 by 2.

7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .

Step-by-step explanation:

Answer:

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number

Step-by-step explanation:

hope this helps have a good rest of your day

100÷2[500÷5{6 + (21+7-24)}}
can any one ????​

Answers

The answer would be 50,000

Answer:

50,000

Step-by-step explanation:

=100÷2[500÷5{6+4}]

=100÷2[500÷5×10]

=100÷2[100×10]

=100÷2×1000

=50×1000

=50000

If there are 4 apples for every 5 oranges, and there are 16 apples, how many fruits are there altogether?

Answers

Answer:

36

Step-by-step explanation:

4:5

16:n

16÷4=4

4×5=20

16:20

16+20=36

Answer:

36 fruits (I'm not sure, but I think it's correct)

Step-by-step explanation:

4 apples = 5 oranges

16 apples = ? oranges

4 x ? = 16

4 x 4 = 16

5 x 4 = 20

4 apples = 5 oranges

16 apples = 20 oranges

16 + 20 = 36 fruits

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