iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%

Answer:

D

Step-by-step explanation:

The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.

First find the measure of the angles in the triangle.

The sum of the 3 angles = 180° then

5x + 40 + 10x + 7x + 8 = 180

22x + 48 = 180 ( subtract 48 from both sides )

22x = 132 ( divide both sides by 22 )

x = 6

Then

∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°

∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°

∠ C = 10x = 10(6) = 60°

The shortest side is opposite ∠ A , that is BC

The longest side is opposite ∠ B , that is AC

The sides in order from shortest to longest are

BC, AB, AC → D

Step-by-step explanation:

Diameter=10cm

Radius=Diameter/2=10/2=5cm

Now

[tex]\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8[/tex]

[tex]\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)[/tex]

Answer:

24, 12, 10, 15, 10, 22, 12

mean:  7

median: 12

mode:  12

Range: 14

Step-by-step explanation:

Answer: Mean=15, Median=12, Mode=10 and 12, Range=14

Step-by-step explanation:

Data:

Numbers: 10, 10, 12, 12, 15, 22, 24

Mean: x, Median: x, Mode: x, Range: x

Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers

10+10+12+12+15+22+24=105/7=15

Mean=15

Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.

Step Two, Find the Median(middle) by finding the number in the middle

10, 10, 12, 12, 15, 22, 24

Median=12

Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.

Step Three, Find the mode by finding the number that show up the most

10, 10, 12, 12, 15, 22, 24

Mode=10 and 12

Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.

Step Four, Find the range by subtracting the biggest number by the smallest

24-10=14

Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.

I hope this helps!

Answer:

What I got for my answer for one of the cylinders is 502.65

I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^

Answer:7,500

Step-by-step explanation:

no way she gonna make 70 k in a year with that percentage

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

Answer:

-37/6

Step-by-step explanation:

Answer:

6 pounds

Step-by-step explanation:

2.7/0.45 = 6

Answer:

equation: 28 = 2h+ h + h or you could say 28 = 4h

h= 7

Step-by-step explanation:

since both lines are the same length they equal each other.

to get h = 7 you have to solve the equation you made.

28 = 4h

28/4 = 4h/4

7 = h

mark as brainliest please :)

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5

Answer:

©

[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + 6

Parallel slope = 3

(-2, 3)

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 3(x + 2)

y - 3 = 3x + 6

y = 3x + 9

Answer:

[tex](16\div8)+24[/tex]

Step-by-step explanation:

The quotient of 16 and 8 is [tex]16\div8[/tex]. Adding 24 to this value results in [tex](16\div8)+24[/tex].

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

The volume of pyramid A is 20 cubic inches.

Given that:

Height of pyramid of A and B are 6 and 15 inches, respectively.

Since square pyramid A and square pyramid B are similar, their corresponding sides are proportional.

Let the volume of pyramid A be V and the scale factor between the two pyramids be k.

The volume of a pyramid is given by V = (1/3) × base area × height.

Since the base of pyramid B is k times the base of pyramid A, and the height of pyramid B is also k times the height of pyramid A, we can set up the following relationship:

V(B) = k³ × V(A)

Given that the height of pyramid A is 6 inches and the height of pyramid B is 15 inches, we can calculate the scale factor k as follows:

k = height of B / height of A = 15 / 6 = 2.5

Now, we know the scale factor k, and we are given the volume of pyramid B as 312.5 cubic inches. We can find the volume of pyramid A:

V(B) = k³ × V(A)

312.5 = 2.5³ × V(A)

312.5 = 15.625 × V(A)

Now, solve for V(A):

V(A) = 312.5 / 15.625

V(A) = 20

The volume of pyramid A is 20 cubic inches.

Learn more about Pyramid  here:

https://brainly.com/question/13057463

#SPJ4

Answer:

x=5

Step-by-step explanation:

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

Answer:2

Step-by-step explanation: because

Answer: c. 420 m

Step-by-step explanation:

Answer:

Mean - 89

Median - 90.5

Mode - 89 or 92

Q1 - 84.5

Q3 - 96.5

IQR - 12

Step-by-step explanation:

A mean is an average. Just add all numbers then divide by how many numbers there are.

A median is a middle. Just arrange the numbers from smallest to largest and locate the middle value.

A mode is the number that appears most often. Count how many of each number there is.

Q1 is the middle of the lower half of the data.

Q3 is the middle of the upper half of the data.

IQR is the difference between Q3 and Q1. (subtract)

Answer:

0.012, 1/12 , 6% , 1/6

Step-by-step explanation:

To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.

* To put fractions in decimal form you need to divide the numerator into the denominator.

* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.

This is correct 6/100 = .06 This is 6 tenths.

So let's go through:                                             _

   1 divided by 6 equals                                  0.16

   6% is equal to                                               .06

   0.012 is already in decimal form               0.012      _

 1 divided by 12 equals                                         0.083

 #Always remember you have to put the numbers in the original form that they were given.

# Also the more decimal places a number has behind the decimal the less the number

               Ex:  0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.

0.12 > 0.012

Answer:

6

Step-by-step explanation:

Hope it helps kkkkkjjj9

Answer:

easy 3x2=6

Step-by-step explanation:

it is basically 2 groups of 3 or 3+3 which is 6

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 = 6 parts

Divide 180° ( sum of angles in a triangle ) by 6

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

The angles in the triangle are 30°, 60°, 90°

Then the triangle is right angled

Answer:

Step-by-step explanation:

Let missing angles be [tex]x[/tex], [tex]2x[/tex].

As the triangle is right-angled triangle.

[tex]x + 2x + {90}^{o} = {180}^{o} [/tex]

[tex]3x = {180}^{o} - {90}^{o} [/tex]

[tex]3x = {90}^{o} [/tex]

[tex]x = {30}^{o} [/tex]

[tex]2x = 30 \times 2 \\ = {60 }^{o} [/tex]

Answer:

119cm

Step-by-step explanation:

add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.

Answer:

9642

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

55%green25%yellow20%red

Answer:

do you have any pictures?

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

0.2 x 6 = 1.2

Answer:

1.2

Step-by-step explanation:

0.12 looks like the correct answer but its not because if you look at the problem its 0.2 and 0.12 is smaller than 0.2 so its 1.2 because 0.2 x 6 = 1.2

Hope this helps! Please tell me any questions or concerns in the comments! Byeee <3