Choose the correct answer below:

A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities

Answer:

Mean = Sum of Values ÷ Total number of Values

Step-by-step explanation:

= 15+5+16+9+14+3+4+18+10+4 ÷ 10

= 98 ÷ 10

= 9.8     (Decimal point moves 1 place to the left when divided by 10)

Answer:

see the attachment photo!

Option A

Answer:

Step-by-step explanation:

Remark

The ratio you would use is 7 to 2 to 11

The question is what you you have to multiply these ratios by so the products when added come to 100?

Equation

7*x + 2*x + 11*x = 100        Combine the terms on the left

Solution

20x = 100                           Divide both sides by 20

20x/20  = 100/20              

x = 5

Answer: 55 blue marbles were in the bag.

Answer: 2

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

We need to find 2 numbers that have a difference of 8.

Let take's 16 and 8.

As we know :

⇒ 16 - 8

⇒ 8

The larger of these 2 numbers is 16

The 95​% confidence interval estimate of the mean wake time is equal to (62.61, 88.39).

Given the following data:

Mathematically, a confidence interval of 95% is given by;

α = 1 - 0.95

α = 0.05.

α/2 = 0.05/2 = 0.025.

Also, the degrees of freedom (df) is given by:

Degrees of freedom (df) = n - 1

Degrees of freedom (df) = 16 - 1

Degrees of freedom (df) = 15.

From the Student's t-distribution table, a critical value at t₀.₀₂₅, ₁₅ = 2.131.

Mathematically, the confidence interval for mean is given by:

Mean ± (t-critical × (standard deviation/√(sample size)))

75.5 ± (2.131 × (24.2/√(16))

75.5 ± (2.131 × 6.05)

For the upper end, we have:

75.5 + 12.89 = 88.39

For the lower end, we have:

75.5 - 12.89 = 62.61.

In conclusion, we can deduce that there isn't a significant difference between the mean wake time before and after treatment and as such, this drug isn't effective at the significance level of 0.05.

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Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.

¿Cómo calcular el porcentaje de personas que solo ven tenis?

Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:

De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.

Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.

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Answer:

(x+4)(x-5)

Step-by-step explanation:

We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)

Answer:

(x +5) (x -4)

Step-by-step explanation:

Factors of 20:

1,20

2,10

4,5

4 and 5 combine to create 1

+5 -4 = 1

(x +5) (x -4)

Answer:

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Step-by-step explanation:

3x - 4y [tex]\geq[/tex] 24

-3x                 -3x

(-4y [tex]\geq[/tex] 24 - 3x ) / -4

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)

To get this amount, we simply divide the number of balloons with the total amount of PSI.

Thus:

90/300

= 0.3psi each.

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Answer: 300?

Step-by-step explanation:

tell me if i am wrong

Equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

" Parallel lines are defined as the lines in the same plane never intersect with each other. They are equidistant to each other in the same plane."

Formula used

[tex]Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

According to the question,

Given,

Coordinates of A [tex](x_{1},y_{1})[/tex] = ( -2 , 5)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 6 , 3)

Substitute the value to get the slope of line AB we get,

[tex]Slope of line AB 'm_{1}' =\frac{3-5}{6-(-2)}[/tex]

                    ⇒ [tex]m_{1} = \frac{-2}{8}[/tex]          

                              [tex]= \frac{-1}{4}[/tex]

Coordinates of C [tex](x_{1},y_{1})[/tex] = ( x ,y)

Coordinates of B [tex](x_{2},y_{2})[/tex] = ( 8,5)

Substitute the value to get the slope of line CD we get,

[tex]Slope of line CD 'm_{2}' =\frac{5-y}{8-x}[/tex]

Lines AB and CD are parallel.

Slope of parallel lines are equal.

Therefore,

                     [tex]m_{2} = m_{1}[/tex]          

                 ⇒ [tex]\frac{5-y}{8-x}[/tex] [tex]= \frac{-1}{4}[/tex]

                ⇒[tex]5-y = \frac{-1}{4} (8-x)[/tex]

                ⇒ [tex]y = \frac{-x}{4} +7[/tex]

Hence, equation of the line CD is equals to [tex]y = \frac{-x}{4} +7[/tex].

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Answer:

Step-by-step explanation:

'

Answer:

Cylinder

Step-by-step explanation:

Area of rectangular prism = base area * height

                                           = 50 * 5

                                           = 250 square cm

Area of cylinder = base area * height

                          = 50 * 5

                           = 250 square cm

Answer:

great question buddy and I wish you the most

Step-by-step explanation:

x-y=b^2/2=2

The impulse that Penelope's car would experience is 100, 000 Kg. m/s

The formula for calculating the impulse is;

Impulse = m Δ v

Where m = mass = 2000kg

Δv = change in velocity = 100 - 50 = 50m/s

Substitute values into formula

Impulse = 2000 × 50 = 100, 000 Kg. m/s

Therefore, the impulse would be 100, 000 Kg. m/s

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Answer:

6x^2-3x-2

Step-by-step explanation:

6x^2 + 2x - 20 / 4 x x - 2

6x^2 + 2x - 5x - 2

6x^2 -3x - 2

Answer:

Step-by-step explanation:

Equations

7x + 3y = 4z

Second equation

x + y = z                          Multiply the entire equation by 4

4[x + y = z]                      Now distribute the 4 through the equation

4x + 4y = 4z                    Both equations = 4z. Equate the lefts.

Third equation  

7x+3y = 4x + 4y              Subtract 3y from both sides

7x + 3y -3y = 4x + 4y -3y

7x = y + 4x                      Subtract 4x from both sides

7x - 4x = y + 4x - 4x       Combine

3x = y

Answer: 3x = y

Answer:

0 apples

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. There are 8 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Let's suppose someone flips a fair coin three times.

1. The outcomes of the coins are,

Therefore, there are 8 outcomes.

2. The probability of getting exactly one tail is,

P(X=1) = 2/8 = 1/4

3. The probability of getting at most two tails is,

P(X≤2) = P(X=1) + P(X+2) = 1/4 + 1/2 = 3/4

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Answer:

Volume of prism 1: 104 cubic inches

Surface area of prism 2: 650 square inches

Step-by-step explanation:

To find the volume of prism 1, set up a proportion using the side lengths and the volume of prism 2.

The ratio of the side lengths will be your scale factor. When finding volume using scale factor, you need to cube the scale factor. The numerator in the proportion are from prism 1 and the denominator is prism 2. Prism 1 is the numerator since it is the new image and we are solving for it's volume.

[tex](\frac {4}{10}) ^{3} =\frac{x}{1625} \\\\\frac{64}{1000} =\frac{x}{1625} \\\\[/tex]

[tex]1000x=104000\\\frac{1000x}{1000} =\frac{104000}{1000} \\x = 104[/tex]

To find the surface area of Prism 2, we are going to setup another proportion, but this time we are going to square the scale factor since we are finding area. Prism 2 will be the numerator and prism 1 will be the denominator.

[tex](\frac{10}{4} )^2 = \frac{x}{104} \\\frac{100}{16} =\frac{x}{104} \\16x=10400\\\frac{16x}{16}=\frac{10400}{16}\\ x= 650[/tex]

Answer:

  144°

Step-by-step explanation:

The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.

__

The total number of meals ordered at the restaurant was ...

  11 +12 +7 = 30

The fraction of those that were Curry was ...

  12/30 = 2/5

Then the central angle of the sector representing Curry will be 2/5 of the circle, or ...

  2/5 × 360° = 144°

The central angle of the section representing Curry will be 144°.

Answer:

The length would be 15 inches.

Step-by-step explanation:

Since we are solving for perimeter the first step would be doing 6+6 = 12 (covering 2 sides). The next thing we would do is subtract 12 from 42 getting 30 as our answer. We need to divide 30 by 2 to get an answer of 15. I hope this helps! :)

Answer:

15 inches

Step-by-step explanation:

The expression that is equivalent to complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

To answer the question, we need to know what fractions are

Fractions are rational numbers written in the form a/b where

where

To find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.

So,  [tex]\frac{1 - \frac{1}{x}}{2}[/tex]

Taking L.C.M of x in the numerator, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\[/tex]

Simplifying, we have

[tex]\frac{1 - \frac{1}{x}}{2} = \frac{\frac{x - 1}{x}}{2} \\= {\frac{x - 1}{2x}}[/tex]

So, the expression that is equivalent to the complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

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The answer is 3 I work it out

Answer:

83050

Step-by-step explanation:

that's the answer to the question

Answer:

A.

Step-by-step explanation:

The figure moves to the right 8 units which is positive and then up 7 units which is also positive.

Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

where:

By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

Given the following data:

Focus with points = (6, 2).

Vertex (h, k) = (6, –4).

Note: a = 2 - (-4) = 2 + 4 = 6.

Substituting the given parameters into the formula, we have;

(x - 6)² = 4 × 4(y - (-4))

(x - 6)² = 16(y + 4).

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Answer:

-6

Step-by-step explanation:

we can put the value of x as -2 cause f(-2) we can substitute the value...

f(-2)= 3*-2

-6