The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself the “high IQ society”, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?
A)68%
B)47.5%
C)95%
D)81.5%

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

Answer:

y=x+1

Step-by-step explanation:

i hope this helps :)

Answer:

y=x+1

Step-by-step explanation:

The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1

Answer:

Frogs : 7, 14, 28

Turtles : 3, 6, 12

Step-by-step explanation:

Multiply equivalently with the same multiple.

Equivalent ratios : (7 : 14) (6 : 12)

Answer:

7*2=14

14*2=28

3*2=6

6*2=12

7/3

14/6

28/12

Answer: -3/2

Step-by-step explanation:

rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

m = (y2-y1)/(x2-x1)

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3

If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:

(120 N) cos(30°) = 60 √3 N ≈ 103.923 N

Then the work done by the boy on the mower over a distance of 12.8 m is

(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J

Answer:

im not sure but i think its A

Step-by-step explanation:

Answer:

1. 7x+5 2.5x-12. 3.2x^2+5x+4

Step-by-step explanation:

if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.

Answer:

hmmmmmmm

Step-by-step explanation:

o9ooooooooooooooo

Answer:

20% de 240=20×240÷100= 48 practican deporte

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

it is a fourth degree trinomial

1) find two number whose sum is -10 and whose product is 9

the two numbers are -1 and -9

2) write the trinomial as a multiplication in this way

(x^2-1)(x^2-9)

3) the two factors are both a difference of tho squares.

so we can rewrite it as

(x+1)(x-1)(x+3)(x-3)

Answer:

a1=4, r=5, n=6

Step-by-step explanation:

got it correct on edge

b= first option

c= 15,624

Answer:

a1=4, r=5, n=6

b= first option

c= 15,624

Step-by-step explanation:

It is right on edge

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

Answer:

761.54$

Step-by-step explanation:

Step-by-step explanation:

the answer is £761.54

if I am right plz give brainliest

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

The slope intercept form is y= 3/2 x - 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have the Equation as

-6x + 4y= -12

As, the slope intercept form is y= mx+ b

So, 4y= -12 + 6x

y= -12/4 + 6/4x

y = -3 + 3/2x

y= 3/2 x - 3

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Answer:

the answer is either B or C i beloeve

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Answer:

6.7%

Step-by-step explanation:

Mean = 32.7

Standard deviation = 1.8

Percentage of employees younger Than 30 years

Obtained the Standardized age, x < 30

Z = (x - mean) / standard deviation

Z = (30 - 32.7) / 1.8

Z = - 2.7 / 1.8

Z = - 1.5

Obtain the probability :

Using a Z probability calculator or standard normal table :

P(Z < - 1.5) = 0.066807

0.066807 * 100% = 6.7%

Answer:

$10,000= sales

Step-by-step explanation:

Giving the following information:

Commission rate= 6%

Desired total earnings= $600

To calculate the sales level required to reach the objective, we need to use the following formula:

Desired earning= commission rate*sales

600= 0.06*sales

600/0.06= sales

$10,000= sales

Answer:

Total rent= $900

Step-by-step explanation:

Giving the following information:

Total monthly budget= $3,000

Percentage of rent in the budget= 30%

To calculate the monetary value paid in rent, we need to use the following formula:

Total rent= percentage of rent paid*total monthly budget

Total rent= 0.3*3,000

Total rent= $900

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.