If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)

Answers

Answer 1

Answer:

screeeeeeeeeeredc vbggrewdsc

Step-by-step explanation:cdscx de2wqsax

wewdsnswercwdsx

Answer 2
Answer:    P(F) = 0.35

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Work Shown:

P(E or F) = P(E) + P(F) - P(E and F)

0.55 = 0.40 + P(F) - 0.20

0.55 = P(F) + 0.20

P(F) + 0.20 = 0.55

P(F) = 0.55 - 0.20

P(F) = 0.35

---------

note: Sometimes you may see the formula as

P(E and F) = P(E) + P(F) - P(E or F)

but it's an equivalent form to the first equation above.


Related Questions

If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)

Answers

Answer:

B. P(B/A)=P(B)

Which shows another way to write 9.54?
O 0.5 + 0.04
O 9+ 0.4 + 0.05
O (9 * 1) + (5 x 0.1) + (4 x 0.01)
O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)

Answers

Answer:

It would be C

Step-by-step explanation:

PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75

Answers

the square root of 75 is 8.66, so it would be between 8 and 9

A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss

Answers

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

What’s the value of y in this picture

Answers

Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

A mug is 3/7 full. The mug contains 1/2 cup of water. Find the capacity of the mug

Answers

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

3x × 2 = 7 × 1

6x = 7

x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Capacity

Given:

Quantity of the mug = 1/2 cup

let

x = full capacity of the mug

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

divide both sides by 3/7

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

Learn more about fraction:

https://brainly.com/question/2929160

HELP PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?

Answers

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

How is 5 represented in 6.75

Answers

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed

Answers

X=(-1.2,0) and y= (0,-0.7)

Answer:

y= (0, .7)

x= (-1.2, 0)

Step-by-step explanation:

r u taking a test?

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?


use a tape diagram by reading it backward, draw a tape diagram and label it unknown.

Answers

Answer:

She needs 12 cups of flour to make bread

Step-by-step explanation:

9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?

Answers

Answer:

44 hours

Step-by-step explanation:

just do 22 x 2

8.032×10^-4 in standard form​

Answers

Answer:

0.0008032

Step-by-step explanation:

Hope this helps!

Answer:

80,320

Step-by-step explanation:

A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?

A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.

Answers

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

Answer:

B

Step-by-step explanation:

How do you solve this? Without going into anything to complicated as this should be Year 10 maths

Answers

Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]

⇒ Area = 5cm × 5cm .

Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]

6m + 4n + 3m - 6

What are the coefficient[s]? Separated them with a comma

Answers

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

ASAP!!! PLEASE HELP
10 points

Answers

This is the answer hope you get it :)

Help me please!!..,,

Answers

Answer:

A.

Step-by-step explanation:

1.5 x 0.1 = 0.15

0.15 inches

Dont know if this is for sure right. Hope it is.

Which graph represents a function?

Answers

The third graph represents a function because it passes the vertical line test (VLT). (:

The following are a list of variables that will almost certainly vary across students in a large undergraduate introductory statistics course.
(a) Favorite beverage
(b) Year of birth
(c) Typing speed
(d) Handedness (e.g., left or right handed)
(e) Age
(f) Occupation
(g) Self-report of Assertiveness
For questions 1a to 1d that follow choose the variable or variables that best represent the level of measurement.
a) Which variables would typically be measured on a nominal scale of measurement?
b) Which variable would likely be measured on an interval, but not a ratio scale?c) Which two variables are most likely to be measured on a ratio scale?d) As typically measured, which variable represents at least an ordinal scale of measurement, but probably not a true interval scale?

Answers

Step-by-step explanation:

a. nominal scales

occupation

Favorite beverage

b. Interval but not ratio.

Typing speed

c. ratio scale.

age

Handedness (e.g., left or right handed)

d. Ordinal scale of measurement but not a true interval scale.

Self-report of Assertiveness

year of birth

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8

Answers

Answer:

Step-by-step explanation:

Homework Weekend Create a short story.

Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?

Answers

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month

Answers

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

what is the value of x,if x=9-9/4​

Answers

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Answers

Answer:

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Dilation can also be referred to as scale factor

6cm × 2.25 = 13.5 cm

9 cm × 2.25 = 20.25 cm

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18

Answers

Answer:

Step-by-step explanation:

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