A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

Answer:

C. 0 ≤ y ≤ 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that the line's y-value span from 0 to 8. Since both are closed dots, they are inclusive in the range:

[0, 8] or 0 ≤ y ≤ 8

Answer: 36 inches

Step-by-step explanation:

height of the building = 9inches.

scale factor of the building = 6:24.

solution

since a scale of 6:24, was used to scale down the original model, the initial or actual height of the statue would be.

[tex]= 9 * \frac{24}{6} \\\\= 9 * 4\\\\= 36 inches[/tex]

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

Answer:

x=0.16

Step-by-step explanation:

a computer programer is making 12,100 more dollars than the technichan.

Answer:

x=2

Step-by-step explanation:

Answer:

the square root of 5.494 is 2.34

Step-by-step explanation:

The computation of the square root of 5.494 is as follows"

According to the question it is mentioned that

The number is 5.494

Now the square root of the above number is

[tex]\sqrt{5.494}[/tex]

= 2.34

Hence, the square root of 5.494 is 2.34

Therefore the same is to be considered

Answer:

216[tex]\pi[/tex]

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle = [tex]8\pi[/tex]

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

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

[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

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

Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]

Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]

Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]

Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]

Answer:

20 inches

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 15

Hypotenuse c = 25

Step 2: Solve for x

Answer:

20 inches

Step-by-step explanation:

Step 1: Understanding Pythagorean Theorem

The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.

Step 2: Using the Theorem

We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.

We can denote -

a - 15

b - unknown

c - 25

(note, c is always the hypotenuse or the longest side of the triangle)

We can plug in the numbers -

[tex]15^{2} +b^{2} =c^{2}[/tex]

[tex]225 +b^{2}=625[/tex]

[tex]b^{2} =625-225[/tex]

[tex]b^{2} =400[/tex]

[tex]b=20[/tex]

Answer:

The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C

Step-by-step explanation:

In the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas

∵ The purple line is a vertical line

∵ It is cross the x-axis at the point (4, 0)

→ By using the first rule above

∴ The equation of the purple line is x = 4

∵ The purple line is solid and the shaded area left the line

∴ The sign inequality is ≤

∴ The inequality of the purple area is x ≤ 4

∵ The blue line is a horizontal line

∵ It is cross the y-axis at the point (0, 1)

→ By using the second rule above

∴ The equation of the blue line is y = 1

∵ The blue line is dashed and the shaded area above the line

∴ The sign inequality is >

∴ The inequality of the blue area is y > 1

∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1

Answer:

96

Step-by-step explanation:

80÷100×120

96 ,, , ,; , ,

Answer:

(0.8) (120)

Step-by-step explanation:

[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]

Answer:

Step-by-step explanation:

The nth term of an exponential sequence is expressed as ar^n-1

The nth term of a linear sequence is expressed as Tn = a + (n-1)d

a is the first term

r is the common ratio

d is the common difference

n is the number of terms

Let the three consecutive terms  of an exponential sequence be a/r, a and ar

second term of a linear sequence = a +d

third term of a linear sequence = a + 2d

sixth term of a linear sequence = a + 5d

Now if the three consecutive terms  of an exponential sequence are  the second third and sixth terms  of a linear sequence, this is expressed as;

a/r = a + d ..... 1

a = a + 2d ..... 2

ar = a+ 5d .... 3

From 2: a = a + 2d

a-a= 2d

0 = 2d

d = 0/2

d = 0

Substitute d = 0 into equation 1:

From 1: a/r = a + d

a/r = a+0

a/r = a

Cross multiply

a = ar

a/a = r

1 = r

Rearrange

r = 1

Hence the common ratio of the exponential sequence is 1

Answer: 9

Step-by-step explanation:

Answer:

I believe its D

Step-by-step explanation:

its the same line just 10 units down, meaning it would be parallel and pass thru that point.

Answer:

I'm not supposed to help you if you are taking a test, but the answer would be letter D which is 1/2x

Step-by-step explanation:

Remember, parallel lines have the same slope. The only line that has the same slope as y = 1/2x + 10 is y = 1/2x

Hope this helps you ace the test!!! :)

Good luck!!!      

Answer:

z<-4

Step-by-step explanation:

-2z-5>3

Add 5 to both sides.

-2z>8

Divide both sides by -2.

Z<-4

The sign must change because you are dividing by a negative.

Answer:

4 is D = 23

Step-by-step explanation:

the coefficient is the number before the letter

Answer:

96 apple pies, 64 cherry pies, and 48 blueberry pies.

Step-by-step explanation:

6 + 4 + 3 = 13, and 208 / 13 = 16. Now multiply each number in the ratio by 16, so 6 x 16 = 96, 4 x 16 = 64, and 3 x 16 = 48. You can check your answer by adding all 3 numbers and making sure it adds up to 208. Hope that helps

Answer:

Not a function

Step-by-step explanation:

If you use the line/ pencil test ***I think that's what it's called...

you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.  

Answer:

13

Step-by-step explanation:

Ok so we will eliminate some numbers first. The width is 12, but the total on the perimeter is 24. 50-24 = 26

26 is not the length, so divide that by 2, and get 13

Proof:

x=2

13x=26

12x=24

24+26 = 50

Answer:

B.

Step-by-step explanation:

the answer is B bevause you subtract 635 and 360, and then you get 275.

An angle measuring 275° is coterminal with a 635° angle.

This classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.

here, we have,

we know that,

A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.

Thus,

For w=1 and α=635°

       β = 635° ± 360 * 1

       β = 635° ± 360

      Then, β can be 635°+360=995° or 635°-360= 275°

For w=2 and α=635°°

       β = 635° ± 360 * 2

       β = 635° ± 720

      Then, β can be 635°+720=1355° or 635°-720= -85°

      Therefore, the answer to this question is option B.

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Answer:

24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go

-

Answer:

Nadia is incorrect, please check explanations for the correction to her work

Step-by-step explanation:

Here, we want to validate the wok of Nadia

Let the number be n

5 times the number is 5 * n = 5n

Difference between 5n and 3 less than twice the number

3 less than twice the number is 2n-3

So it should be 2n-3 ;

The solution is thus;

5n - (2n-3) = 18

5n - 2n + 3 = 18

3n + 3 = 18

3n = 18-3

3n = 15

n = 15/3

n = 5

Answer:

Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

refer attachment for detailed answer

Answer:

6/7

Step-by-step explanation:

greatest common factor: 4

24/4=6

28/4=7

Answer:

C: <-28,-25>, etc.

Step-by-step explanation:

The vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.

One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.

As per the given data:

Coordinates of school A =  (7, 12)

Coordinates of school B = (-21, -13)

Scale of the map is 1 unit = 100 m

For vector representing the path A to B:

Final - Initial coordinates

= (-21 - 7, -13 - 12)

= (-28, -25)

Distance between A and B:

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

= [tex]\sqrt{(-21 - 7)^2 + (-13 - 12)^2}[/tex]

= 37.54 units {1 unit = 100 m}

= 3754 meters

Hence, the vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.

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Answer:

0.3

Step-by-step explanation:

The answer is actually 3

Answer:

The slopes of WX and XZ

Step-by-step explanation:

The singular factor that determines if the parallelogram is a rectangle are the angles at the edges

Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle

So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product

Hence, the slopes of WX and XZ can be calculated to show this

Answer:

TUNNEL:

f(x) = -2/4.9  [tex]x^{2}[/tex]  + 9.8

TRUCK:

Width (m) < 9.8

Height (m) <  -2/4.9 ( [tex]Width^{2}[/tex] /4 - [tex]4.9^{2}[/tex] )

Step-by-step explanation:

Please see attachment

If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

Any function of the form[tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.

We have to determine a quadratic model to represent the tunnel.

The quadratic function is formed as,

f(x) =K(x-x₁)(x-x₂)

x₁=width/2

x₁=9.8/2 = 4.9

x₂= -x₁ = -4.9

Substitute the obtained value as,

f(x) = K(x-4.9)(x-(-4.9))

f(x) =K(x²-4.9²)

f(0)=9.8

The value of K is obtained as a result,

K=-2×4.9/(4.9)²

K= -2/4.9

Substitute the value of K as,

f(x) = -2/4.9(x²-4.9²)

f(x) = (-2/4.9)x²+2×4.9

f(x)= (-2/4.9)x²+9.8

Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.

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