Human intelligence is often measured with an Intelligence Quotient (IQ) test. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. If one person were selected at random to take an IQ test, what is the probability that he or she would score between 90 and 110?

Answer:it didnt

Step-by-step explanation:

Since 24 = 8*3, we can factor out the GCF 8 like so

8x^2 - 24 = 8*x^2 - 8*3 = 8(x^2-3)

This is using the distributive property.

Answer:

The amount earned is $327.75

Step-by-step explanation:

If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.

5h = $71.25

1h = x; cross multiplying would result in

x= [tex]\frac{($71.25*1)}{5h}[/tex]

x= $14.25 which is the pay for 1h

Therefore for 23 h the worker would earn

23* 14.25 = $327.75

Answer:

290 cm sq.

Step-by-step explanation:

We can approximate this irregular figure as a trapezoid.

We know the area formula for a trapezoid is A = (1/2)*(base1 + base2)*height

A = (1/2)* (22 cm + 36 cm) * (10 cm)

A = (1/2) *( 58 cm)*10 cm

A = 29 cm * 10 cm

A = 290 cm sq.

The answer should be 290 cm2, i will post a comment here later if it is wrong or not. Have a good day :)

Edit: It was correct

Answer:

g=2

Step-by-step explanation:

6(2+g)=24

Expanding the parentheses:

12+6g=24

Subtracting 12 from both sides:

6g=12

Dividing both sides by 6:

g=2

Hope this helps!

Answer:

g=2

Step-by-step explanation:

1. Distribute the left-hand side:

12+6g=24

2. Subtract 12 from both sides:

    12-12+6g=24-12

= 6g=12

3. Divide both sides by 6:

g=2

Answer:

6 days :D

Step-by-step explanation:

So first you need to find out how much they drive each day : 185+220=405

Then you divide 405 with 2430 to find out how many days they need to travel..which is 6.

The correct value of the length of a side = 2¼ ft

Answer:

area of the whole mosaic = 182.25 ft²

Step-by-step explanation:

We are told it has a 6 x 6 array of different colour square tiles.

Which means it has 6 x 6 = 36 square tiles.

Area of square = L²

Where L is length of side

Now, since length of one tile is 2¼ ft long.

Thus, area of one square tile = (2¼)²

= 81/16 ft²

Since there are 36 tiles,

Thus ;

Total area ; 81/16 x 36 = 182.25 ft²

Final answer:

The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.

Explanation:

Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.

Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:

2.25 ft × 2.25 ft = 5.0625 ft²

Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:

5.0625 ft² × 36 = 182.25 ft²

Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.

Answer:

90 and 30

Step-by-step explanation:

Answer:90 and 30

Step-by-step explanation:

9x10=90

3x10=30

The arc measure BDC that subtend the angle at the center P of the circle is  213 degrees

The arc measure of angle BDC is as follows;

AC and BD are the diameter of the circle.

∠BPD ≅ ∠APD

Therefore,

4k + 159 = 2k + 153

4k - 2k = 153 - 159

2k = -6

k = -6 / 2

k = -3

4(-3) + 159 = 147°

∠BPD ≅ ∠APD = 147°

Hence,

∠BPA ≅ ∠CPD = 33°

arc BDC = 33 + 147 + 33 = 213 degrees

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Answer: right triangles

always

Step-by-step explanation:

Answer:

right triangles

Always

Step-by-step explanation:

Slope is rise/run which is the same for all two points on the line. The right triangles are formed using two points on the line

Answer:

(60-3)/n = 23

Step-by-step explanation:

Answer:

106.4622 [tex]a^{3}[/tex]

Step-by-step explanation:

Given the information:

Use the pytagon theory to find the hypotenuse of the triangle

[tex]a^{2} + b^{2} = c^{2}[/tex]

<=>[tex]((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}[/tex]

<=>[tex](3a)^{6} + (4a)^{6} = c^{2}[/tex]  

<=> [tex]c^{2} = 4285a^{6}[/tex]

Take the square root of both sides

<=> c = 69.4622 [tex]a^{3}[/tex]

=> expression in simplest form for the perimeter of a right triangle is:

[tex](3a)^{3}[/tex] + [tex](4a)^{3}[/tex] + 69.4622 [tex]a^{3}[/tex]  

= 27[tex]a^{3}[/tex]  + 64[tex]a^{3}[/tex]  + 69.4622 [tex]a^{3}[/tex]  

= 106.4622 [tex]a^{3}[/tex]

Answer:

6 ft³

Step-by-step explanation:

In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:

[tex]V = 14 - 4 -4\\V=6ft^3[/tex]  

The middle slab has a volume of 6 ft³.

Answer:

6

Step-by-step explanation:

cuse i just got it right on iready

Answer:

312

Step-by-step explanation:

its easy

Answer:to graph y=2 go to the y axis and go to positive 2 and make a horizontal straight line. And to graph x=4 go to the x axis and go to positive 4 and make a vertical straight line.

and to graph y=x+2 make a dot on (0,2) and (-2,0) then make a line thru them using a ruler or straight object. (also i seriously recommend using desmos to graph online its super easy to use :) )

Answer:

Please just give me points

Step-by-step explanation:

I really need points so plss someone give some!

Answer: 3,017.5 cubic centimeters.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of each cd case:

Volume of a rectangular prism= length x width x height

Replacing with the values given:

V = 14.2 x 12.5 x 1 = 177.5 cubic centimeters.

Since there are 17 cases in the stack, we have to multiply the volume one case by 17.

177.5 x 17 = 3,017.5 cubic centimeters.

Answer:

The function g(x) = (x + 1)² is represented by the graph Y

Step-by-step explanation:

The question presents the graph of the function x² above

Therefore, for a function f(x) = x² at x = 0 y = 0

For function g(x) = (x + 1)² when x = 0 g(x) = 1  Satisfied by graph W and Y

Also we have g(x) =  (x + 1)² = x² + 2·x + 1  or g(x) = f(x) + 2·x + 1

We find the minimum of the graph by differentiating and equating to zero as follows;

[tex]\frac{\mathrm{d} (x + 1)^{2}}{\mathrm{d} x} = 2x +2 = 0[/tex]

Therefor, the minimum is at x = -1 satisfied by only graph Y

Hence the graph that represents the function g(x) = (x + 1)² is the graph Y.

Answer:

Step-by-step explanation:

Shape of the can is cylinder

r = 4 in

h = 15 in

Volume =πr²h

= 3.14* 4 * 4 * 15

=753.6 cubic inches

Answer:

20.0434

Step-by-step explanation:

Answer:

The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.

Step-by-step explanation:

I did it on USATestprep.  -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.

Final answer:

The correlation coefficient of -0.9547 indicates a strong and inverse relationship between the amount of time Jason spends working out and the amount of weight he loses.

Explanation:

The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is -0.9547. This negative correlation coefficient indicates a strong and inverse relationship between the two variables. It means that as the amount of time Jason spends working out increases, the amount of weight he loses decreases.

Answer:

[tex] \sqrt{117} [/tex]

Step-by-step explanation:

Use the distance formula.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2} [/tex]

[tex] d = \sqrt{(-6)^2 + 9^2} [/tex]

[tex] d = \sqrt{36 + 81} [/tex]

[tex] d = \sqrt{117} [/tex]

Answer:

m = 3

Step-by-step explanation:

First, distribute the 5 to the values inside the parentheses.

6 + 5m + 5 = 26

Combine like terms: 5m + 11 = 26

Then, you want to isolate the variable so you subtract 11 from both sides because what you do on one side must be done to the other.

5m + 11 - 11 = 5m

26 - 11 = 15

5m = 15

Then divide both sides by 5.

5m / 5 = m

15 / 5 = 3

m = 3

Answer:

m=3

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Answer:2.96

Step-by-step explanation:

100% : 110%

x : 19.25

(cross multiply)

answer: 17.5

hope this helps

Answer:

B. 17%

Step-by-step explanation:

The probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 is given by the z-score and P ( 0.37 < x < 0.39 ) = 16.32 %

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the probability that a sample chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 be P ( A )

Now , the mean of the sample μ = 0.38

The standard deviation σ = 0.0485

And , z₁ = 0.37 and z₂ = 0.39

So , P ( A ) = P ( 0.37 < x < 0.39 )

On simplifying , we get

z = (x - μ)/σ

z₁ = ( 0.37 - 0.38 ) / 0.0485

z₁ = -0.206

z₂ = ( 0.39 - 0.38 ) / 0.0485

z₂ = 0.206

So , P ( 0.37 < x < 0.39 ) = P ( -0.206 < z < 0.206 )

On further simplification of the z-score , we get

P ( 0.37 < x < 0.39 ) = 0.5816045 - 0.4183955

P ( 0.37 < x < 0.39 ) = 0.1632

Hence , the probability is 16.32 %

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Circumference: pi x diameter

8 x 3.14 = 25.12

Therefore, the circumference of the circle is 25.12 kilometers.

The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.

The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:

C = 3.14 x 8 = 25.12 kilometers

Therefore, the circumference of the circle is 25.12 kilometers.

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