Use the Venn diagram to calculate conditional probabilities.



Circles D, E, and F overlap. Circle D contains 13, circle E contains 4, and circle F contains F. The overlap of D and E contains 6, the overlap of E and F contains 7, and the overlap of F and D contains 5. The overlap of all 3 circles contains 5. Number 3 is outside of the circles.

Which conditional probabilities are correct? Check all that apply.

P(D | F) = StartFraction 6 Over 34 EndFraction
P(E | D) = StartFraction 7 Over 25 EndFraction
P(D | E) = StartFraction 7 Over 25 EndFraction
P(F | E) = StartFraction 8 Over 18 EndFraction
P(E | F) = StartFraction 13 Over 21 EndFraction

Answer:

The answer is 3053.6

Let me know if there are any more problems!!

Answer:

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.

So,

New length = 100 * 2/5 = 40 feet

New width  = 10 * 2/5 = 4 feet

Therefore, the scale of new drawing would be 40 feet by 4 feet

Answer:

is it 25 or 2/5 ?

Step-by-step explanation:

A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to ⅖ of its size. What is the scale of the new drawing?

if its 2/5 then answer is 1 inch = 5 feet

Answer: Yes

Step-by-step explanation:

I am not sure if this is correct, but a kilogram is a very small unit of measure. I would assume that it is greater since 1000kg is equal to 1g. The oranges would have to weigh almost nothing for it to be less than $6.

Answer:

i think the answer is c Consistent and dependent

Step-by-step explanation:

Answer:

Inconsistent

Step-by-step explanation:

6x + 4y = 5

And

3x + 2y = 10

Are two distinct parallel lines, hence they never meet.

The system has no solution, therefore it's inconsistent

Answer:

The answer is b=54

Step-by-step explanation:

y=mx+b

12=14(-3)+b

12=-42+b

54=b

hope that helps

Answer:

393.75

Step-by-step explanation:

to find the volume of a rectangular prism, multiply all values by each other.

Answer:

A=1, 2, 3, 4, 5, 6, 7, 8, 9

B= -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1

Union: -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Intersection: 1

Answer:

5+10 and earned is positive IF is multiple choice

Step-by-step explanation:

because he is getting money not loosing money

Answer:

5 + 10

Step-by-step explanation:

you just add the earnings

Answer:

(-2,8)

Step-by-step explanation:

3x+3y = 18

2x+y = 4

Multiply the second equation by -3

-3(2x+y) = -3*4

-6x-3y = -12

Add this to the first equation

3x+3y = 18

-6x-3y = -12

-------------------------

-3x = 6

Divide each side by -3

-3x/-3 = 6/-3

x = -2

Now solve for y

2x+y = 4

2(-2) +y = 4

-4+y =4

Add 4 to each side

-4+4+y = 4+4

y =8

Answer:

(-2,8)

Step-by-step explanation:

3x + 3y = 18 (1)

2x + y = 4 (2)

(1) - 3(2)

3x + 3y = 18

-(6x + 3y = 12)

-3x = 6

x = -2

Using (2)

2(-2) + y = 4

-4 + y = 4

y = 8

The problem involves using trigonometry to find the height of a mast given the hypotenuse of a right-angled triangle and an angle. The sine function is used in this case, providing an approximate mast height of 30 meters.

This question involves the application of trigonometry. The wires form right-angled triangles with the mast and the ground, and the measure provided, 57m, is the hypotenuse of these triangles. The question asks for the height of the mast (opposite side) and the angle provided is 32° with the horizontal.

To solve this, the function of sine can be used, where the sine of an angle is equal to the opposite/hypotenuse. This can be rearranged to the formula: Opposite (height of the mast) = Hypotenuse * Sin(angle).

Therefore, the height of the mast =  57 meters * sin(32°) = 29.96 meters, approximately 30 meters mast height.

https://brainly.com/question/11016599

#SPJ12

Final answer:

Using the tangent function with the given angle of 32 degrees and the distance from the base of the mast to the attachment points of the wires (57 metres), the height of the mast is calculated to be approximately 35.64 metres.

Explanation:

To find the height of the mast, we can use trigonometry, specifically the tangent function, because we have an angle and the opposite side, which in this case is the distance from the ground to the point where the wire is attached to the mast. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side (tan(θ) = opposite/adjacent).

In this scenario, we have the angle (32°) and the adjacent side (57 metres), and we want to find the opposite side, which is the height of the mast. The formula we will use is:

height = adjacent × tan(angle)

Let's put the values we know into this formula:

height = 57 × tan(32°)

To calculate the height, you will need a calculator that can compute the tangent of an angle. The height will then be found as follows:

height = 57 × 0.6249 (tan(32°))

height = 35.6393 metres, which can be rounded to 35.64 metres.

The mast is therefore approximately 35.64 metres tall.

Answer:

x+4

Step-by-step explanation:

x² + 8x² +16 = x² + 2*4x +4² = (x+4)²

Area of a square = side²

So, the length of  one side of the given square is (x+4).

The expression that represent the length of one side of the square is x+4.

Since the equation is

[tex]= x^2 + 8x^2 +16[/tex]

So, we can write as the

[tex]= x^2 + 2\times 4x +4^2 \\\\= (x+4)^2[/tex]

Now we know that

Area of a square = side²

hence, we can say that  the expression that represent the length of one side of the square is x+4.

Learn more about length here: https://brainly.com/question/16275891

Answer:

) mu-x = 1sigma = 0.25

x = mu - 0.25 = 2.5 - 0.25 = 2.25

2) x-mu = 1 sigma = 0.25

x = mu + 0.25 = 2.5+0.25 = 2.75

3) do you know if you have to use the empirical rule?

By the empirical rule, 68 percent data lies between +/- 1 sigma. So the answer is 68%

Step-by-step explanation

Final answer:

One standard deviation below the mean snow depth is 2.25 inches, and one standard deviation above is 2.75 inches. Using the empirical rule, there is a 68% probability that a random snow depth will be between 2.25 and 2.75 inches when the snow depth is normally distributed with a mean of 2.5 inches and a standard deviation of 0.25.

Explanation:

The depth of the snow in a yard that is normally distributed has a mean (μ) of 2.5 inches and a standard deviation (σ) of 0.25 inches.

Answering the first part of your question, if you are looking for one standard deviation below the mean, you would subtract the standard deviation from the mean, which gives 2.5 - 0.25 = 2.25 inches. This is the value that you provided.

For the second part, you need to calculate one standard deviation above the mean, which is similarly done by adding the standard deviation to the mean. Thus, 2.5 + 0.25 = 2.75 inches.

Regarding the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches, according to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

Therefore, there is a 68% probability that a randomly selected location will have a snow depth between 2.25 inches (one standard deviation below the mean) and 2.75 inches (one standard deviation above the mean).

Answer:

311.2 miles

Step-by-step explanation:

(distance) = (rate)(time)

Here we have:

(48 mph)(2.4 hr) + (56 mph)(3.5 hrs) = 311.2 miles

Answer:

311.2

Step-by-step explanation:

Answer:

90 283

Step-by-step

quiz

Answer:

Step-by-step explanation:

Actually, the answer is A (x,-y), ignore the bot.

Answer:

A, D

Step-by-step explanation:

b. mx+b can't describe the relationship of a vertical line since it's slope is undefined

c. x = -8 shows no relation to anything so it isn't a function

hopefully that works

Answer:

A rational number whose square root is a whole number. 25 is a perfect square because its square root is 5.

Step-by-step explanation:

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

Write the equation:

5 'more than' x suggests addition. Write:

[tex]x+5[/tex]

'equal to' 32. Write:

[tex]x+5=32[/tex]

Solve for x. Subtract 5 from both sides (inverse operations):

[tex]x+5-5=32-5\\x=27[/tex]

X equals 27.

Finito.

Answer:

The loan must have been $2500 originally. i think

Answer:

7.84 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

I divided 14 by 56 and got 0.25, therefore it is 25%

I hope this helped!

Answer:

4 Weeks and 16 hours each

Step-by-step explanation:

Each of them have a formula, C being Cyrus and A being Adrian and W being weeks:

C=2w+8

A=4w

After working for 4 weeks, lets plug that in to the formulas

C=2(4)+8
C=16 hours

A=4(4)
A=16 hours

Both of them have worked for the same time and they each have the same number of hours.

Answer:

The correct answer is B.

Answer:

1/8

Step-by-step explanation:

you just divide the fraction by 4 lol

Answer:

each piece is 12.5

Step-by-step explanation:

make me brainliest please

Answer:B

Step-by-step explanation:

Answer: 220°

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

C = 2* pi * r

C= 6* pi

= 18.84

Look at the attached picture

Hope it will help you...

Answer:

He needs to use 25.2 pounds to fertilize his lawn.

Step-by-step explanation:

In order to solve this problem we can use a rule of three in such a way that the content of the bag (36 pounds) can cover 10,000 ft² in the same proportion as "x" pounds can cover 7,000 ft², where "x" is the amount of fertilizer he needs to use.

36 pounds -> 10,000 ft²

x pounds -> 7,000 ft²

36/x = 10000/7000

10000*x = 36*7000

x = 36*7000/10000

x = 25.2 pounds

He needs to use 25.2 pounds to fertilize his lawn.

Answer: He will need to use 25.2 pounds on his lawn.

Step-by-step explanation: If Jean-Patrick found a bag that contains 36 pounds worth of fertilizer and it can cover 10000 square feet of earth, then he needs to find out how many square feet of earth can be covered by just one pound of fertilizer.

After that, he can multiply that portion by 7000 feet to determine how many pounds in total he would need for his lawn.

To cover one square foot of earth, he would need;

1 ft = 36/10000

1 ft = 0.0036

That means for each square foot of earth, he would need 0.0036 pound of fertilizer. In order to fertilize 7000 square feet of earth, he would need the following

Total = 0.0036 x 7000

Total = 25.2

Jean-Patrick would need 25.2 pounds of fertilizer for his lawn

Answer:

use the area of a rectangle to calculate for the total area of the rectangular grass plot

area = length × width

Step-by-step explanation:

The grass plot in Nathan's backyard has a rectangular shape. The dimensions of the sides are in meters . The width and the length are in metres . Since the grass plot is rectangular , the area of the plot can be computed using the formula for area of a rectangle.

Area of a rectangle = L × W

where

L = length

W = width

The area of a rectangle is the width multiplied by the length. For example if the width of the grass plot is 100 meters and the length is 200 meters .The area of the grass rectangular plot will be

area = L × W

area = 200 × 100

area = 20000 m²

The unit of the area will be in square meters (m²)

Answer:

the correct answer is B on edge

Step-by-step explanation: