SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

1) What percentage of SAT scores is between 287 and 857?

2) What percentage of SAT scores is greater than 629?

Please explain!

Answers

Answer 1

1) For our first job, PROBLEM A, it has a mean of 515 points and a standard deviation of 114 points. We're given the goal of calculating what % belongs between 401 and 629. As we can see, if we remove 515, then subtract 114 from 515, we obtain our first value of 401, then if we add our standard deviation tournament, we get our second number of 629. So, using the empirical rule, we know that in this scenario, 68 of our data points will fall inside this range.

2) Part B requires us to identify the scores that are less than 401 and larger than 629. So, in part A, we have the inclusive section of this, and now we have the exclusive section. Simply remove 60 percent from 100 percent, and we get 32 percent outside of this range.


Related Questions

Estimate square root of 12 to the nearest tenth.

A 4.5
B 3.9
C 4.1
D 3.5

Answers

Answer:

  3.5

Step-by-step explanation:

As a first approximation of the square root, you can look at the integers relating the given number to the next lower square number. The next lower square number is 3^2 = 9.

  12 = n^2 +r = 3^2 +3 . . . . . n = 3, r = 3

The approximate square root is ...

  n +r/(2n+1) = 3 +3/7 ≈ 3.429

This value tends to be a little low. Alternatively, the root can be estimated as ...

  n +r/(2n) = 3 +3/6 = 3.5

This value tends to be a little high.

A reasonable estimate of √12 is 3.5.

__

Of course, your calculator can tell you instantly that the root is about 3.464102, close to 3.5.

_____

Additional comment

The relation we used above simplifies the work of linear interpolation between the points (9, 3) and (16, 4) on the square root curve. For some n between 9 and 16, the interpolated root value r would be found from ...

  (n -9)/(16 -9) = (r -3)/(4 -3)

  (n -9)/7 = (r -3)/1

  r = 3 +(n -9)/7 = 3 +(12 -9)/7 = 3 +3/7 . . . . as above

Note that "r" is used for "root" in this discussion. In the above answer, "r" is used for "remainder."

A certain test is worth 125 points. How many point are needed to obtain a score of 85%

Answers

Answer:

106

Step-by-step explanation:

85% of 125 is 106 so therefore you would need to answer 106 correct.


The perimeter of a rectangle is 38 inches. If the length is 15 inches, what is the width?

Answers

analyze problem

perimeter is 38

perimeter -2*length=2*width

38-30=2width

8=2width

width=4

38/2 - 15 = 19 - 15 = 4
width = 4

Find the area of the shape shown below.

Answers

Answer:

I believe the answer is a=58

Step-by-step explanation:

a=1+25+8+24

a=26+8+24

a=34+24

a=58

If a box has a sea-level air density of 1.24 kg * m ^ - 3 how much would the air within the box weigh?

Answers

We have that what the air within the box weigh  is mathematically given as

m=9.8kg

From the question we are told

If a box has a sea-level air density of 1.24 kg * m ^ - 3 how much would the air within the box weigh?

Arithmetics

Generally the equation for the  Mass is mathematically given as

M=d*V

Therefore

m=1.24*8

m=9.8kg

Weight

m*

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Find the percent in the fastest way. 66 2/3% of 240 kg

Answers

Answer:

16,000 kg

Step-by-step explanation:

"Of" something means multiplying. Therefore, the equation is

66 2/3 * 240 = 16,000 kg

Watch help video
The first three terms of a sequence are given, Round to the nearest thousandth of
necessary)
211, 207, 203,
Find the 38th term,
submit Answer
All

Answers

The 38th term in the sequence is -51

A circle has a center (2, 4). prove that if the radius of the circle is less than 5, then the circle does not intersect the line y=x-6.

Answers

Answer:

  the distance from the center to the line is about 5.65, too far from a circle of radius 5.

Step-by-step explanation:

We can prove this by looking at the distance from the center of the circle to the line.

The distance from point (x, y) to line ax+by+c=0 is given by ...

  d = |ax +by +c|/√(a^2 +b^2)

For the line ...

  x -y -6 = 0

and the point (2, 4), the distance is ...

  d = |2 -4 -6|/(1^2 +(-1)^2) = |-8|/√2 = 8/√2 ≈ 5.65685

This tells us that a circle with radius 5.65 or less will not intersect the line. A circle of radius 5 is smaller than that. A circle with radius 5 will not intersect the line y = x-6.

EOC 2.27
Homework • Unanswered
Which of the following variables would not be appropriately depicted through a stem-and-leaf plot?
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a
Gender
b
Grade level in elementary school
с
Number of doctor visits during the past year
d
Number of people living in a household

Answers

The variable that cannot be illustrated by a stem-and-leaf plot is C. Number of doctor visits during the past year.

What is a stem and leaf plot?

It can be inferred that a stem and leaf plot simply means the technique that is used to classify continuous or discrete variables.

In this case, the variable that cannot be illustrated by a stem-and-leaf plot is the number of doctor visits during the past year. This is because it's an ordinal variable.

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What is the domain of f(x)= 1/x-2 +3

Answers

Interval Notation:
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(
0
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(
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0
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Set-Builder Notation:
{
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x can not equal to 2

The area of circle 1 is 6 square units. The area of circle 2 is 7 square units. Which of the following is true about the circumferences of the circles? A. The circumference of circle 1 equals the circumference of circle 2. B. Not enough information is given to make a comparison between the circumferences of the circles. C. The circumference of circle 1 is less than the circumference of circle 2. D. The circumference of circle 1 is greater than the circumference of circle 2.

Answers

Answer:

C. The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

6<7

We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.

We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.

Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.

C. The circumference of circle 1 is less than the circumference of circle 2.

Answer:

The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

Hi there!

When we compare two circles, if one is bigger than the other, it must have a greater circumference. We can see this visually.

If we want to prove this, we can take a look at the area and circumference formulas (r = radius):

[tex]A=\pi r^2[/tex]

[tex]C=2\pi r[/tex]

If we were to substitute the area formula into the formula for circumference, we would get the following:

[tex]\displaystyle\frac{A}{\pi}=r^2\\\\\sqrt{\displaystyle\frac{A}{\pi}}=r[/tex]

[tex]C=2\pi (\sqrt{\displaystyle\frac{A}{\pi}})[/tex]

Therefore, the greater the area of a circle, the greater its circumference.

I hope this helps!

Find the slope of the line passing through the points (-9, 3) and (7, -7).

Answers

Answer:

-10/16

Step-by-step explanation:

-7z3=-10 and 7-(-9)=16

Which three lengths can be the lengths of the sides of a triangle? Choose all that apply.

4m, 6m, 7m

22m, 16m, 13m

20m, 5m, 9m

10m, 10m, 11m

Answers

Answer:

10m, 10m, 11m will be your answer, cuz two 10m, are there and the sides of the triangle are all same 11m can remain one side because it dosent matter.. i hope this helps.. mark me as brainliest..

The length of a towel is 75 centimeters.
How long is the towel in inches?
Round to the nearest hundredth, if necessary.

Answers

Answer:

it's 29,53 inches (after rounding off)

Step-by-step explanation:

as far as I can remember I said

75 × 0.393701 (this is 1 inch)

= 29,527575

= 29,53

The length of towel after converting in inches from centimeters will be 29.55 inches.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity.

Given that;

The length of a towel in centimeters is;

⇒ 75 centimeters.

Now,

Since, we know that;

⇒ 1 centimeter = 0.394 inches.

So, We convert the length of a tower from centimeter to inches as;

⇒ 1 centimeter = 0.394 inches.

⇒ 75 centimeter = 75 x 0.394 inches.

After multiplication, we get;

⇒ 75 centimeter = 29.55 inches.

Since, the length of a towel in already round to the nearest hundredth.

Hence, 75 centimeter = 29.55 inches.

Therefore,

The length of towel after converting in inches from centimeters will be 29.55 inches.

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Cary weighs 123 pounds. Her weight is 22 pounds less than five times her child’s weight. How much does her child weigh

Answers

Answer:

I got 2 different answers because I did 2 different ways the first answer I got was 88 and the other was 505. I would go with the latter 88 if it's an option.

Step-by-step explanation:

i believe the person above is correct and the answer is 88

i need help on this question

Answers

Answer:

  D.  75 ft

Step-by-step explanation:

Line DE parallel to line CB makes triangle ADE similar to triangle ACB. This means corresponding sides are proportional:

  DE/AD = CB/AC

  DE = AD×CB/AC = (70 ft)×(225 ft)/(70 ft +140 ft) = (225 ft)/3

  DE = 75 ft

The distance across the lake is 75 feet.

Identify the number of solutions to the system. SHOW YOUR WORK OR EXPLAIN YOUR ANSWER.
3x + 4y = -5
3x + 4y = 5

Answers

Answer:

  none

Step-by-step explanation:

The "work" is to observe the standard-form linear equations are the same on the left side and different on the right side. There cannot be any possible values of the variables that will make this true.

There are no solutions.

5. Choose values for a and b so that the system of equations shown has
infinitely many solutions.
y= 2x + a
y= bx - 3
3
2
1
3
2.
1
a
A
(B
b
G
(k
©

Answers

Answer:

next time please show a picture if have one

Step-by-step explanation:

A four pack of envelopes cost $.52 what is the unit price?

Answers

Answer:

0.13

Step-by-step explanation:

Choose Yes or No to tell if the number 35 will make each equation true.

□×58=38
□×29=215
□×16=110
□×710=25

Answers

The monthly earning of two employees are determined by the number of products they sell in that month, plus a fixed amount.
Employee X:

Each month, this employee earns $245 per product sold plus $1,600.

Employee Y:

E = 270p + 1,750, where E is the monthly earnings and p is the number of products sold.

(How much does each employee earn if they do not sell any products that month?

Employee X earns $[?]

Employee Y earns $[?]

What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

2 (RootIndex 4 StartRoot 16 x EndRoot) minus 2 (RootIndex 4 StartRoot 2 y EndRoot) + 3 (RootIndex 4 StartRoot 81 x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot)
5 (RootIndex 4 StartRoot x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot)
5 (RootIndex 4 StartRoot x EndRoot) minus 6 (RootIndex 4 StartRoot 2 y EndRoot)
13 (RootIndex 4 StartRoot x EndRoot) minus 10 (RootIndex 4 StartRoot 2 y EndRoot)
35 (RootIndex 4 StartRoot x EndRoot) minus 18 (RootIndex 4 StartRoot 2 y EndRoot)

Answers

Answer:

  [tex]\text{(c) }\ 13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]

Step-by-step explanation:

Simplification of radical expressions of this sort involves ...

factoring out integer powerscombining like terms

The given expression can be simplified as follows:

  [tex]\displaystyle 2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}\\\\=2\sqrt[4]{2^4x}-2\sqrt[4]{2y}+3\sqrt[4]{3^4x}-4\sqrt[4]{2^4(2y)}\\\\=2\cdot2\sqrt[4]{x}-2\sqrt[4]{2y}+3\cdot3\sqrt[4]{x}-4\cdot2\sqrt[4]{2y}\\\\=(2\cdot2+3\cdot3)\sqrt[4]{x}-(2+4\cdot2)\sqrt[4]{2y}\\\\=\boxed{13\sqrt[4]{x}-10\sqrt[4]{2y}}[/tex]

can someone please help with my work

Answers

Answer:

68

Step-by-step explanation:

41+77=  112

180-112= 68

The angles in a triangle  all add up to 180°.

Deepak earns Rs. 12480 in a month. Find his 1 day's earning.​

Answers

Answer: 416 Rs

Step-by-step explanation:

Divide 12480 by 30 days.

Can someone help? Thanks a lot!!
Please explain if you can thanks again.

Answers

Answer:

4x +20 = 2x +60

4x -2x +20 -60 =0

2x -40 = 0

2x = 40

x =20.

can someone answer this please

Answers

Answer:

X > 2

Step-by-step explanation:

all the numbers highlight are greater than 2 hence the answer

MARKING AS BRAINLIEST! LAST ATTEMPT! ) show ur work

Answers

[tex] - 3 \sqrt{180 {x}^{5}y } = - 3 \sqrt{36 {x}^{4} \times 5xy } = - 18 {x}^{2} \sqrt{5xy} [/tex]

[tex]5 \sqrt{108xy {z}^{2} } = 5 \sqrt{36 {z}^{2} \times 3xy } = 30z \sqrt{3xy} [/tex]

[tex]3x \sqrt{x {y}^{10} {z}^{7} } = 3x \sqrt{ {y}^{10} {z}^{6} \times xz } = 3x {y}^{5} {z}^{3} \sqrt{xz} [/tex]

[tex] \sqrt{ {x}^{3} } = \sqrt{ {x}^{2} \times x } = x \sqrt{x} [/tex]

[tex] \sqrt{x {y}^{3}z } = y \sqrt{xyz} [/tex]

[tex] \sqrt{18 {x}^{2}y } = \sqrt{9 {x}^{2} \times 2y } = 3x \sqrt{2y} [/tex]

[tex] \sqrt{32 {x}^{4} {y}^{2} } = \sqrt{16 ({ {x}^{2} })^{2} {y}^{2} \times 2 } = 4 {x}^{2} y \sqrt{2} [/tex]

[tex]2 \sqrt{16 {x}^{7} {y}^{3} {z}^{4} } = 2 \sqrt{ {4}^{2} {x}^{6} {y}^{2} ( { {z}^{2} )}^{2} \times xy } = 8 {x}^{3} y {z}^{2} \sqrt{xy} [/tex]

[tex] {x}^{2} \sqrt{ {x}^{3} {y}^{2} } = {x}^{2} \sqrt{ {x}^{2} {y}^{2} \times x } = {x}^{3} y \sqrt{x} [/tex]

Answer: ......

Ok done. Thank to me :>

Find the product of:

[tex] {p}^{5} \times {p}^{ - 4} \times {p}^{3} [/tex]

Answers

a^m×a^n=a^m+n

[tex]\\ \rm\Rrightarrow p^5\times p^{-4}\times p^3[/tex]

[tex]\\ \rm\Rrightarrow p^{5-4+3}[/tex]

[tex]\\ \rm\Rrightarrow p^{1+3}[/tex]

[tex]\\ \rm\Rrightarrow p^4[/tex]

[tex]\sqrt{3x+33+17=20[/tex]

Answers

if you are looking for x, this is how i did it

3. It took Sandy two hours to jog 13 miles. She ran 17 miles in the first hour. How far did she run during the second hour?

Answers

Answer:

this doesn't amke sense

Step-by-step explanation:

she joged 13 miles in 2 hours. she ran 17 miles the 1st hour. 38? im not sure what your trying to do

Monica has 426 millimeters of fabric for a dress. How many centimeters of fabric does she have?

Answers

42.6 centimeters of fabric <3

Answer:

42.6 centimeters

Step-by-step explanation:

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