2. The accessory choices of 143 people are recorded in the table.
wearing a watch
no watch
wearing a belt
62
32
no belt
29
20
Create a relative frequency table that could be used to show the percentages of belt
wearers who wear a watch or not, as well as the percentages of people without belts
who wear a watch or not.

Answer:

0=1

1=4

2=7

Step-by-step explanation: Just substitute the 'x' in y=3x+1 with the number in the table (i.e 0, y=3*0+1= 1) and so forth

The table in the image is a table for the equation y = 3x + 1. It shows the values of y for different values of x.

Here is the table in text format:

x y

0 1

1 4

2 7

We can check that the values in the table are correct by substituting the values of x into the equation y = 3x + 1.

For example, if we substitute x = 0, we get y = 3(0) + 1 = 1, which is the value in the table.

The table can be used to graph the equation y = 3x + 1.

To do this, we plot the points (x, y) in the table on a coordinate plane.

The points will form a straight line.

Here is a graph of the equation y = 3x + 1:

graph of y = 3x + 1

graph of y = 3x + 1

The y-intercept of the graph is 1.

This means that the line passes through the point (0, 1).

The slope of the graph is 3.

This means that for every 1 unit that x increases, y increases by 3 units.

The graph can be used to solve for y for any given value of x.

For example, if we want to solve for y when x = 3, we can find the point on the graph where x = 3 and read off the corresponding value of y.

The point is (3, 10), so y = 10 when x = 3.

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The volume of the tent is 46.67 ft³

Explanation:

Given that the rectangular base is 35 square feet.

The height of the pyramid is 4 feet.

We need to determine the volume of the tent.

The volume of the tent can be determined using the formula,

[tex]Volume=\frac{1}{3} Bh[/tex]

where B = 25 and h = 4

Substituting these values in the above formula, we get,

[tex]Volume = \frac{1}{3} (35\times 4)[/tex]

Multiplying the numerator, we get,

[tex]Volume= \frac{140}{3}[/tex]

Dividing, we get,

[tex]Volume =46.6667 \ ft^3[/tex]

Rounding off the value to the nearest hundredth, we have,

Volume = 46.67 ft³

Therefore, the volume of the tent is 46.67 ft³

Answer: D

Step-by-step explanation: To find the area of a triangle, you multiply the base and the height, then divide by 2, but because there are 4 triangles, you can multiply 12 and 14, and then multiply again by 2. For the square, 12 times 12 is 144, when you add 336 (the area of the triangles) and 144 (the area of the square), you get 480.

Answer:

[tex]6x-6y=30[/tex]

Step-by-step explanation:

The complete options are

a) x - 2y = 30

b) 4x - 3y = 30

c) 3x - 4y = 30

d) 6x - 6y = 30

The given equation is

[tex]x-y=5[/tex]

Verify option d

we have

[tex]6x-6y=30[/tex]

Divide by 6 both sides

[tex](6x-6y)/6=30/6[/tex]

[tex]\frac{6x}{6}-\frac{6y}{6}=\frac{30}{6}[/tex]

[tex]x-y=5[/tex]

therefore

[tex]x-y=5[/tex]  and [tex]6x-6y=30[/tex] are equivalent

Answer:

3x -4y = 30

Step-by-step explanation:

Answer:

2.5•2 = 5

Step-by-step explanation:

The resulting two-dimensional cross-section is the area of a square.

Area of a square is equal to:

[tex]A=bh[/tex]

Having

[tex]b = 2.5\ in\\h = 2\ in[/tex]

substitute

[tex]A=2.5*2=5\ in^{2}[/tex]

Answer:

8,420.43 meters higher im pretty sure

Step-by-step explanation:

If you do 8,844.43-424.3, you get 8,420.83

Answer:

9,268.73 meters higher

Step-by-step explanation:

Add the elevation of Mt.Everest to the absolute value of the elevation of the Dead Sea. That equation looks like: 8,844.43 + |-424.3| = 9,268.73

Mt.Everest was 9,268.73 meters higher than the Dead Sea in 2005.

The solution to the system of equations -3x-2y=36 and 3x-5y=6 is x = -8 and y = -6. This was achieved by adding the equations together to eliminate x, then solving for y, and substituting y into the first equation to solve for x.

To find a solution to the system of equations, you can use the method of addition (also known as elimination). In this case, these equations are designed in a way that allows you to simply add them together. Having the equations: -3x-2y=36 and 3x-5y=6, if you add these two equations together, the x variable will cancel out, leading to:  -2y - 5y = 36 + 6, simplifying this yields -7y = 42. Finally, to solve for y, you divide both sides by -7, yielding y = -6. Now that we have the value for y, we can substitute it into the first equation to solve for x: -3x - 2(-6) = 36 --> -3x + 12 = 36 --> -3x = 24. Dividing both sides by -3, we get

x = -8. Therefore, the solution to the system of equations is x = -8 and y = -6.

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To find the values that are not restrictions on the variable in a rational expression, we need to evaluate the expression for the given values. By substituting the values -1, 0, -5, 1, and 5 into the expression, we can determine if they result in a zero denominator or not. The values 0 and 5 are not restrictions on the variable.

The rational expression is given by [tex](2y^2 + 2) / (y^3- 5y^2+ y - 5)[/tex]. To identify the values that are not restrictions on the variable, we need to determine which values of y make the denominator equal to zero. To find these values, we can set the denominator [tex](y^3-5y^2+ y - 5)[/tex] equal to zero and solve for y using synthetic division or factoring. By substituting the given values of -1, 0, -5, 1, and 5 into the expression, we can determine whether they result in a zero denominator or not. If the denominator is not zero for a particular value of y, then that value is not a restriction on the variable.

Let's check:

For [tex]y = -1: (2(-1)^2 + 2) / (-1^3 - 5(-1)^2 + (-1) - 5) = (-2 + 2) / (-1 + 5 - 1 - 5) = 0 / -2 = 0[/tex]

For [tex]y = 0: (2(0)^2 + 2) / (0^3 - 5(0)^2 + (0) - 5) = (2 + 2) / (0 - 0 + 0 - 5) = 4 / -5 ≠ 0[/tex]

For [tex]y = -5: (2(-5)^2 + 2) / (-5^3 - 5(-5)^2 + (-5) - 5) = (2(25) + 2) / (-125 + 125 - 5 - 5) = (50 + 2) / -10 \ne 0[/tex]

[tex]For y = 1: (2(1)^2 + 2) / (1^3 - 5(1)^2 + (1) - 5) = (2 + 2) / (1 - 5 + 1 - 5) = 4 / -8 = -0.5 \ne 0 For y = 5: (2(5)^2 + 2) / (5^3 - 5(5)^2 + (5) - 5) = (2(25) + 2) / (125 - 125 + 5 - 5) = (50 + 2) / 0 \ne 0[/tex]

From the calculations, we can determine that the values 0 and 5 are not restrictions on the variable because they do not result in a zero denominator. Therefore, the correct answer is 0 and 5.

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Answer:

-1,0,-5,1

Step-by-step explanation:

The volume of the prop is calculated to be 2,712.96 cubic inches.

Step-by-step explanation:

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  [tex]\frac{1}{3}[/tex] with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  [tex]V=\pi r^{2} \frac{h}{3}[/tex] = [tex]3.14 \times 9^{2} \times \frac{14}{3}[/tex] = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  [tex]\frac{4}{3}[/tex] with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  [tex]V=\frac{4}{3} \pi r^{3}[/tex] =  [tex]\frac{4}{3} \times 3.14 \times 9^{3}[/tex] = 3,052.08 cubic inches.

The volume of the half-sphere =  [tex]\frac{3,052.08}{2}[/tex] = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

Using the Remainder Theorem, the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5 is found to be 7 after evaluating the dividend at the root of the divisor, which is -5/3.

The question asks for the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5. To find the remainder, you can perform polynomial long division or use the Remainder Theorem. Since the divisor is linear, the Remainder Theorem states that the remainder is equal to the value of the dividend evaluated at the root of the divisor. The root of 3x + 5 is -5/3. Plugging this value into the dividend:

(3×(-5/3)³ - 14×(-5/3)²- 14×(-5/3) + 3).

After calculating, we find that the remainder is 7. Thus, when the given polynomial is divided by 3x + 5, the remainder is 7.

Answer:?

Step-by-step explanation:

Answer: 30/a

Step-by-step explanation:

Quotient means to divide. So the quotient of 30 and another number would be 30/a

Answer:

30/a

Step-by-step explanation:

Answer:

A =36 pi

or approximately

A =113.04

Step-by-step explanation:

To find the area of a circle, we use the formula

A = pi r^2, where r is the radius

A = pi (6)^2

A = 36 pi

We can approximate pi as 3.14

A = 36 (3.14)

A is approximately 113.04

Answer: 113.1 unit^2

Step-by-step explanation:

A=πr^2

=π(6)^2

=113.0973355 unit^2

5

CE=AE-AC=4

CD=CE-DE=4-1.5=2.5

BC=BD-CD=7.5-2.5=5

yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces

Answer:

16r+8

Step-by-step explanation:

You multiply 4r×4= 16r

Then 4×2=8

That's how you get the answer 16r+8

Answer:

B

Step-by-step explanation:

Answer:

b. ∆DEF ~ ∆HDF ~ ∆HED  

Step-by-step explanation:

When you name similar triangles, the order of the letters of corresponding angles must be in matching order.

For example, in ∆DEF, ∠D is the right angle, ∠E is the larger acute angle, and ∠F is the smallest angle.

The corresponding parts in ∆HDF are ∠H, ∠D, and ∠F.

In ∆HED, they are ∠H, ∠E, and ∠D.

The similarity statement is

∆DEF ~ ∆HDF ~ ∆HED

The similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED

Therefore, the similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED

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Answer:

$102.30

Step-by-step explanation:

Answer:

2600

The gross pay $2,600 if $572 is the tax amount.

Step-by-step explanation:

Answer:

19.3 degrees

Step-by-step explanation:

The diagonal AC of the rectangle can be found using the Pythagorean Theorem.

8^2 + 3^2 = 73

The square root of 73 = 8.544...

Using this length and the length of FA (which is 3 cm), we can use the inverse of tangent to find the angle.

tangent of the angle = 3 cm/8.544 cm

inverse tangent of (3/8.544) = 19.347...

Hope this helps!

Answer:

5/4

Step-by-step explanation:

doubled is basically multiplied by 2

so 5/8 *2

this would equal 5/8 *2/1

so we multiply the tops together and the bottoms together

so that would mean

10/8

we can divide both the top and bottom by 2 to simplify

this would be

5/4

This can be rewritten as

1 1/4 too.

The fraction 5/8 when doubled gives the fraction 5/4.

Given a fraction 5/8.

We have to find the fraction formed by doubling the fraction 5/8.

Doubling means multiplying by 2.

That is, some number is doubles or make it two times.

Here given fraction is 5/8.

Doubling this frcation, we get,

2 multiplied by 5/8

= 2 × 5/8

2 and 8 in the denominator gets cancelled and we get,

2 × 5/8 = 5/4

Hence the required fraction value is 5/4.

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Answer:

No, (-5, -5) is not a solution

Step-by-step explanation:

Step 1:  Plug in -5 for y and -5 for x

y > -2x + 4

-5 > -2(-5) + 4

-5 > 10 + 4

-5 > 14

Answer:  No, (-5, -5) is not a solution

Answer:

$195P00*0.0055(1+0.0055)^360

____________________________

           (1+0.0055)^360-1

The value of y is 3 when x is 6.

Solution:

The given table is the amount of cheese in ounces and the cost price.

Let x represents the amount of cheese and y represents the cost price.

The formula which derived from the table is y = x ÷ 2.

That is [tex]$y=\frac{x}{2}[/tex].

To find the value of y when x is 6:

[tex]$y=\frac{x}{2}[/tex]

Substitute x = 6 in the formula, we get

[tex]$y=\frac{6}{2}[/tex]

y = 3

Hence the value of y is 3 when x is 6.

I think it's 3

It should be 3 because if you have a base of 6 then your height must be 3 to get 18.

Answer:

The domain is 6, and the range is 72.

Answer:

x≈18.6

Step-by-step explanation:

Lets make the fractions have common denominators:

7x/70=130/70

Multiply by 70

7x=130

Divide by 7

x=18.5714285714

Round

x≈18.6

Answer:

 200,000,000  

+ 0  

+ 8,000,000  

+ 0  

+ 0  

+ 0  

+ 400  

+ 70  

+ 8  

Step-by-step explanation:

Answer:

200,000,000

    8,000,000

               400

                  70

                    8

Add up those values straight down to end up with 208,000,478

You can also write the number as

2*10^8 + 8*10^6 + 4*10^2 + 7*10^1 + 8*10^0

Answer:

Step-by-step explanation:

A.  It says he will get to sit in the front if the number is even

There are 6 sides, three of which are even numbers (2,4,6). So the probability of rolling an even number is 3/6 = 1/2.

Let's make p = 1/2

Jack will get his way half of the time, so we expect him to get the front seat half of the time

If we're talking about 20 days, then n = 20 and

n*p = 20*(1/2) = 20/2 = 10

meaning that Jack would, on average, get the front seat 10 times out of the 20 total.

B. Similar to A

n=100

The probability is still the same because rolling an odd number (1,3,5) is still going to happen 3/6 = 1/2 of the time.

so: n*p means 100 days*1/2 which is 100/2=50 days

Jill get to sit in the front 50 out of the 100 days.

C. For better accuracy, we can at least increase the number of trials so we have more data in able for better accuracy.

As Jill did 100 hundred, we think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.

Answer:

A. Jack to get to ride in the front seat 10 times

B. In the first 100 school days, Jill will get to ride in the front seat 50 times.

C. As Jill did 100, I think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.

Step-by-step explanation: