Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:


Truck Car Total
Female 5 35
Male 27 21
Total 88


What is the probability (rounded to the nearest whole percent) that an adult will buy a car, given that she is a female? Are the events being female and buying a car independent?

Answer:

Step-by-step explanation:

70%=0.7

90 X 0.7 = 63

ANSWER IS 63

Answer:

The answer is 10√2.

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

270/1

Step-by-step explanation:

Here is 90 divided by 1/3 displayed mathematically in colors:

90 ÷ 1/3

The numbers in 90 divided by 1/3 are labeled below:

90 = whole number

1 = numerator

3 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

90x3/1 = 270/1

Answer: 270/1

Step-by-step explanation:

90/1*1/3 you have to do the reciprocal so it turns to 90/1*3/1= 270/1

Answer:

3.73 miles per hour

Step-by-step explanation:

12 Kilometers is 7.46 miles.

7.46/2 = 3.73 Miles per hour

Answer:

[tex]6\frac{11}{15}[/tex]

Step-by-step explanation:

[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]

[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]

but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.

[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]

[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]

[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]

[tex]\frac{101}{15} =6\frac{11}{15}[/tex]

Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.

In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:

Translating the word problem into an algebraic equation, we have the following:

x - 1 = 3y                   .....equation 1.

4x + y = 95              .......equation 2.

Making x the subject of formula in equation 1, we have:

x = 3y + 1      .......equation 3.

Substituting equation 3 into equation 2, we have:

4(3y + 1) + y = 95

12y + 4 + y = 95

13y = 95 - 4

13y = 91

y = 91/13

y = 7.

For the value of x, we have:

x = 3y + 1

x = 3(7) + 1

x = 21 + 1

x =22.

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1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.

➜ The line intercepts the y-axis at 3.

2] Answer: y = 3x

Step-by-step explanation:

➜ This line is going down from the bottom left to the top right, so it will have a positive slope.

➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.

➜ The line intercepts the y-axis at 0.

3] Answer: y = x - 4

Step-by-step explanation:

➜ This line is going down from the top left to the bottom right, so it will have a negative slope.

➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.

➜ The line intercepts the y-axis at -4.

The measure of each angle X and Y are x = 32 degrees and y = 58 degrees

From the question, we have the following parameters that can be used in our computation:

The above statements mean that

x + y = 90

y = 2x - 6

Substitute the known values in the above equation, so, we have the following representation

x + 2x - 6 = 90

Evaluate the like terms

3x = 96

Divide both sides by 3

x = 32

Substitute x = 32 in the equation y = 2x - 6

y = 2 * 32 - 6

Evaluate the equation

y = 58

Hence, the measure of the angle y is 58 degrees

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The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given system of equations,

b = 24 c and

[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]

Substitute b = 24 c in the second equation.

[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]

6c + 4c = [tex]\frac{5}{4}[/tex]

10 c = [tex]\frac{5}{4}[/tex]

c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]

b = 24c = 24 / 8 = 3

Hence c = 1/8 and b = 3 in cups.

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The surface area of the sphere is 144π square units.

"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".

For the given situation,

The axis of the sphere = 12 units

The axis is the diameter of the sphere.

The radius of the sphere, r = d/2

⇒ [tex]r=\frac{12}{2}[/tex]

⇒ [tex]r=6 units[/tex]

The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]

[tex]A = 4\pi( 6)^{2} \\[/tex]

⇒ [tex]A=144\pi[/tex]

Hence we can conclude that the surface area of the sphere is 144π square units.

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Answer:

The volume of a cube is the side length cubed.

V = s x s x s  where s is the length of the side = s x s^2 = 6s^2 so s must be 6.

The side length is 6 ,

Therefore the surface area is 6 times the area of each side = 6 x 6^2 = 6 x 36

= 108 square units

Answer:

A 1 in 4 chance or a probability of 0.25

Step-by-step explanation:

There is only 3 months that start with J and 12 months in a year so simplify 3/12 you get 1/4 or 0.25

Answer:

+6

Step-by-step explanation:

Each interval has a difference of 6

Answer: 5. 2x+8  6. 5(x-9)   7. -3x+-21

Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it

Answer:

square root of 819 or 28.6

Step-by-step explanation:

The actual length of the modeled truck is 20.4 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A model diagram of a truck and each gridline represent 1 cm distance.

Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.

Also given that 1 cm is equal to 1.7 feet.

Therefore, The actual length of the truck is (1.7×12) feet.

= 20.4 feet.

So, the length of the truck is 20.4 feet.

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Answer:

B

Step-by-step explanation:

16 - 7 = 9

Answer:

m=7

Step-by-step explanation:

Answer:

answer is c because you have to put in the 2 and get -16

Answer:

[tex]y=\frac{3}{2} x-6[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

[tex]3x = 2y[/tex]

Switch the sides

[tex]2y=3x[/tex]

Divide both sides by 2 to isolate y

[tex]\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x[/tex]

Now that this equation is in slope-intercept form, we can easily identify that [tex]\frac{3}{2}[/tex] is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope [tex]\frac{3}{2}[/tex] . Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{3}{2} x+b[/tex]

2) Determine the y-intercept

[tex]y=\frac{3}{2} x+b[/tex]

Plug in the given point, (4,0)

[tex]0=\frac{3}{2} (4)+b\\0=6+b[/tex]

Subtract both sides by 6

[tex]0-6=6+b-6\\-6=b[/tex]

Therefore, -6 is the y-intercept of the line. Plug this into [tex]y=\frac{3}{2} x+b[/tex] as b:

[tex]y=\frac{3}{2} x-6[/tex]

I hope this helps!

Answer:

sin 66 = C/15 or C = 15sin66 = 13.7

22/7×14×14×12

the answer is 7392

Answer:

x=120°

y=70°

Step-by-step explanation:

solution,

y=70°(alternate angles)

x=120°(corresponding angles)

Answer:

1/3

3/10

6/8 or 3/4

Step-by-step explanation:

The probabilities of the condition are 0.3333, 0.30, and 0.75.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Then the probability that a student prefers comedy, given that the student is in 10th grade, will be

Total event = 9

Favorable event = 3

Then the probability will be

P = 3 / 9

P = 0.3333

Then the probability that a student prefers comedy, given that the student is in 12th grade, will be

Total event = 10

Favorable event = 3

Then the probability will be

P = 3 / 10

P = 0.30

Then the probability that a student does not prefer action, given that the student is in 9th grade will be

Total event = 8

Favorable event = 6

Then the probability will be

P = 6 / 8

P = 0.75

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The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

4(5x - 4) = 64(2x + 12)

20x - 16 = 128x + 768

20x - 128x = 768 + 16

-108x = 784

x = -7.25

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Answer:

you only have the answer choices not the question itself

could you please attach the question so i can help?

Answer:

volume of water in the container

30×10×8

2400cm³=2400ml=2.4liters

( since water is filled up to a height of 8 cm )

[tex] \large\boxed{ \mathrm{volume = l \times b \times h}} [/tex]

_____________________________

Since, 1000 cm³ = 1 litre

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[tex]\mathrm{ \#TeeNForeveR}[/tex]