According to a recent​ survey, the probability that the driver in a fatal vehicle accident is female​ (event F) is 0.2805. The probability that the driver is 24 years old or less​ (event A) is 0.1759. The probability that the driver is female and is 24 years old or less is 0.0424. Answer parts​ (a) through​ (d) below.

(a) Find the probability of FUA. P (FUA)Round to four decimal places as needed.)

(b) Find the probability of F'UA. P(FUA) (Round to four decimal places as needed.)

(c) Find the probability of FnA'

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]

[tex]C = 448\,USD[/tex]

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]

[tex]C = 280\,USD[/tex]

Se obtuvo $ 280 de ganancia por la venta de bolillos.

In this exercise we have to use the knowledge of finance to calculate the profit.

1) $ 448 profit was made from donut sales.

2) A profit of $ 280 was obtained from the sale of cupcake.

1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:

[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]

$ 448 profit was made from donut sales.

2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:

[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]

A profit of $ 280 was obtained from the sale of cupcake.

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Answer:

[tex]a=9[/tex]

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.

Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex]  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

[tex]a=\sqrt{15^{2}-12^{2} }[/tex]

-Simplify it:

[tex]a=\sqrt{225-144}[/tex]

-Subtract inside the radical:

[tex]a=\sqrt{81}[/tex]  Then simplify it to get [tex]a=9[/tex].

You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):

Steps

-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:

[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]

-Simplify to get:

[tex]81+144=225[/tex]

-Add:

[tex]225=225[/tex]  This is very true. So our answer is correct.

ANSWER: [tex]a=9[/tex]

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

Answer:

-6

Step-by-step explanation:

Answer:

the second answer

y=1/2x+3/4

Answer:

sneha was owing one of her friends 9$, she asked them for another 5 dollars

now she owes 14

Step-by-step explanation:

Answer:

$200 and $450

Step-by-step explanation:

We can start by assigning variables to our unknowns.

Our unknowns are the price for a DVD player and the price for a television.

x= price of a television

y= price of a DVD player

Next, let's translate the given information into a system of equations.

two televisions and three DVD players for $1750

2x+3y=1750

four televisions and one DVD player for $1250

4x+y=1250

Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.

First, from the second equation, we subtract 4x from both sides.

4x+y-4x=1250-4x

y=1250-4x

Now we plug 1250-4x for y in the first equation.

2x+3y=1750

2x+3(1250-4x)=1750

Distribute.

2x+3*1250-3*4x=1750

Simplify.

2x+3750-12x=1750

Combine like terms.

-10x+3750=1750

Subtract 3750 from both sides

-10x+3750-3750=1750-3750

-10x=-2000

Divide both sides by -10

x=200

A television costs $200.

Now using that, we can plug that into one of the original equations. I'll use the second one.

4x+y=1250

4(200)+y=1250

800+y=1250

Subtract 800 from both sides.

y=450

A DVD player costs $450

You can plug those values back into the other equation (the first one) to double-check if you'd like as well.

Step-by-step explanation:

It is given that,

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches.

We need to find the volume of the aquarium.

The formula for the volume of the rectangular prism is given by :

V = lbh

Where, l is length, b is width and h is height

Let the height of the prism is h inches. So,

V = A × h   (As Area, A = lb)

V = 250× h

= (250h) inch³

By substituting the value of h, we can find its volume.

Hence, the volume of the aquarium is (250h) inch³.

Answer:

The answer is 3,125

Step-by-step explanation:

Answer:

52 square units

Step-by-step explanation:

For this you need the length of CB and the length of DA.

|CB| = √(10²+2²) = 2√26

|DA| = √(10²+2²) = 2√26

area of ABC = base · height / 2 = 2√26 · 2√26 / 2 = 52

Step-by-step explanation:

Hey there!

According to the question;

Aakash can complete a work in 10 days.

That means;

In 10 days Aakash can complete 1 work.

In 1 day Aakash can complete (1/10) work.

In 4 days Aakash can complete (1/10)*4 part of work.

Therefore, in 4 days he can complete 2/5 part of work.

After 4 days Safal had to work.

So, work left was 1 - (2/5) {work left = whole work - done work}.

[tex]1 - \frac{2}{5} [/tex]

[tex] = \frac{3}{5} [/tex]

Therefore, the work Safal had to do was 3/5 part of work.

Hope it helps....

Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

Answer:

7.5

Step-by-step explanation:

To make orange-shaded paint if we use 9 quarts of red paint we need 7.5 quarts of yellow paint.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given to make an orange shade paint 5 quarts of yellow paint and 6 quarts of red paint are needed.

Assuming the no. of yellow paint needed is x when 9 quarts of red paint is used.

As they are in direct proportion we can write

5 : 6 : : x : 9.

5/6 = x/9.

6x = 45.

x = 7.5.

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The answer might be (45/29).

Answer:

124.6

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Just got it correct

Answer:

Your answer will be 69

Step-by-step explanation:

Answer:

G=t-4

Step-by-step explanation:

because he wants to do 4 less than his time so its gonna equla his goal once he get there

Hope it might help

Answer:

6/3=2

Step-by-step explanation:

Answer:

468

Step-by-step explanation:

3,744/8=468

Answer:

16.7 percent decrease.

Step-by-step explanation:

Difference in value = 150,000 - 180,000

= -30,000

As a percent this  =  (-30,000 /  180,000)   * 100

= -0.1667 * 100

= -16.67

Answer:

15.5 repating or 18.4%

Step-by-step explanation:

SORRY

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

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Answer:

The answer is A. -11.45

Step-by-step explanation:

      By using expression for the rate of change in prices between week 1 and week 5 will be -$11.45.

    Rate of change is given by the expression,

Rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

                          = [tex]\frac{\text{Change in price}}{\text{Change in weeks}}[/tex]

By using the given expression, rate of change of prices between week 1 and week 5 will be,

Rate of change = [tex]\frac{694.99-740.79}{5-1}[/tex]

                          = [tex]-\frac{45.8}{4}[/tex]

                          = [tex]-11.45[/tex]

   Therefore, rate of change in the price of washer and dryer pair between week 1 and week 5 will be -$11.45 per week.

Learn more,

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Answer:

Step-by-step explanation:

triangles have always total degrees as  180 degrees

let the 3 rd angle be x

so , 70 + 62 + x = 180

70 + 62 = 132

132 + x = 180

x = 180 - 132

x = 52 degrees

part b =  sorry i could not see the part b question clearly

Answer:  B) $47/week

===========================================================

Explanation:

Because the graph goes through the origin, we can simply divide the y value over the x value. Do so for any point on the diagonal line.

For example, picking (x,y) = (2, 94) leads to k = y/x = 94/2 = 47 being the constant of proportionality and also the amount of savings per week.

You can think of it like this:

2 weeks = $94 in savings

2/2 weeks = $94/2 in savings ... divide both sides by 2

1 week = $47 in savings

leading to the savings rate of $47 per week

----------

Side note: This linear equation is y = 47x. It is in the form y = kx with k = 47. It is a direct proportion equation. The constant of proportionality is also the slope. All direct proportion equations are linear and go through the origin.

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

Answer:

x=4

Step-by-step explanation:

2/x:6/12

6x=24

x=4