Let A and B be two events. Suppose the probabilities P(A) = 0.5, P(
A and B) = 0.2
and P((AUB)') = 0.4. What is P(B)?​

Answers

Answer 1

Answer:

[tex]P(B) = 0.3[/tex]

Step-by-step explanation:

We use the following formula for Venn probabilities to solve this question.

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

P((AUB)') = 0.4

This means that:

[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]

We also have that:

[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]

What is P(B)?​

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]0.6 = 0.5 + P(B) - 0.2[/tex]

[tex]0.3 + P(B) = 0.6[/tex]

[tex]P(B) = 0.3[/tex]


Related Questions

Find the quotient using long division

4x^2-11x+5/x-4

Answers

Step-by-step explanation:

hope this help and pls rate to make me recommended for answering many mathematics questions! have a great day

Which of the following are ordered pairs for the equation y = 1/2x + 2?

Answers

Answer:

Some ordered pairs could be (0,2) and (2,3).

Step-by-step explanation:

Hope this helps!!

jose goes to the fair. he pays $8.50 for an admission ticket and $1.25 for each ride. he spend $19.75 that day. how many rides did he go on

Answers

Answer:

9 rides

Step-by-step explanation:

19.75-8.50=11.25

11.25/1.25=9

Answer:

9 rides

Step-by-step explanation:

1.25x+8.50 = 19.75 (subtract 8.50)

1.25x = 11.25 (divide)

x = 9

Could u please help with this question

Answers

20x+18y+17Z Hope this helped! Plz like it


Freddy read 50% of his book. Express this percent as a fraction in simplest form and as a decimal.
Fraction:
Decimal:

Answers

Answer:

1/2

.50

Step-by-step explanation:

fraction: 0.5
decimal: 1/2

s
Daily Distance Larry Biked (Km)

3 5 12 2 1
8 5 8 6 3
11 8 6 4 10
10 9 6 6 6
5 2 1 2 3
What was the most common Distance Larry Bike

Answers

Answer:

rrhithyyyyyyyytru to hb uh-I don't know what to say to

Step-by-step explanation:

they are u guys are u guys are doing well and your family are u guys are doing well and your family are doing well ☺️☺️☺️ I'm not going home now and u want me out and u doing well and staying home with me to school and get a few more kimbot I don't know if I

The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, find the resulting function.

Answers

y=1/4e^3x-5

After a whole year this hasn't been answered

The resulting function of  y=e^(−3x), when vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units is y=[4e^(−3x)] + 5.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]

Given the function [tex]y=e^{-3x}[/tex] is vertically stretched by a factor of 4. Therefore, the function will be written as,

[tex]y = 4 \times e^{-3x}[/tex]

Now, the function is shifted up by 5 units, therefore, the function will become,

[tex]y = (4e^{-3x})+5[/tex]

Hence, the resulting function of  y=e^(−3x) , when vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units is y=[4e^(−3x)] + 5.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ2

a farmer has 80 yards of land east and 100 yards west​

Answers

Answer: 8000?

Step-by-step explanation:

If your asking the area of his land, 800 yards

Total of 180 I guess? What are you trying to askkk?

finding an angle measure given extended triangles


answer pls ? & dnt play around .. i really need this done :/

Answers

Answer:

x = 180 - 32 - 43 - 72 = 33°

You have recently been employed in a medium size company and deployed in the accounts department.

Your head of section has given you the following extract from the cashbook for the month of February 2021:



Sh. Sh.

Receipts during the month 2,938,000 Balance brought forward (1.2.2021) 1,522,000

Balance carried forward (28.2.2021) 1,108,000 Payments during the month 2,524,000

4,046,000 4,046,000



The head of section further informs you that all receipts are banked intact and all payments are made by cheque. On investigation, you discover the following:

1. Bank charges and commissions amounting to Sh. 272,000 entered on the bank statement had not been entered in the cashbook.

2. Cheques drawn amounting to Sh. 534,000 had not been presented to the bank for payment.

3. Cheques received totaling Sh. 1,524,000 had been entered in the cashbook and paid into the bank, but had not been credited by the bank until March 2021.

4. A cheque for Sh. 44,000 had been entered as a receipt in the cashbook instead of a payment.

5. A cheque for Sh. 50,000 had been debited by the bank by mistake.

6. A cheque received for Sh. 160,000 had been returned unpaid. No adjustment had been made in the cashbook.

7. All dividends receivable are credited direct to the bank account. During the month of February 2021. Dividends totaling Sh. 124,000 were credited by the bank and no entries had been made in the cashbook.

8. A cheque drawn for Sh. 12,000 had been incorrectly entered in the cash book as Sh. 132,000.

9. The balance brought forward should have been Sh. 1,422,000.

10. The bank statement as at 28 February 2021 showed on overdraft of Sh. 2,324,000.



Required:

(i) The adjusted cashbook as at 28 February 2021 (4 marks)

(ii) Bank reconciliation statement as at 28 February 2021. (6 marks)​

Answers

Answer:

I AINT DOING THAT FOR 5 POINTS GIMME MORE

Step-by-step explanation:

What is the value of y
x+y/2= 7
A) y = 9 - X
B) y = 3.5 - X
C) y = 5 - X
D) y = 14 - x

Answers

Answer:

D

Step-by-step explanation:

I I think that's the method I know if I'm wrong telling me hope it helps.

answer

D, y=14-x

Step-by-step explanation:

b/c x+y/2=7

y=7×2-x

y=7/1 - x/2

y=7×2-x

y=14-x !!!!!!

Need help ASAP! Thanks

Answers

Answer:

A = 1, B = 1

Step-by-step explanation:

From the question

(2x+1)/(x²+x) = A/x + B/(x+1)

(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)

Equation the numerator

2x+1 ≡ A(x+1) +Bx

2x+1 ≡ Ax+A+Bx

From the above,

A = 1.

And,

2x = Ax+Bx................ Equation 1

A+B = 2

Substitute the value of A into Equation 1

1+B = 2

B = 2-1

B = 1

I need help with this. I will mark brainliest.

Answers

Answer:

y = 2x + 0; y = 2x

Step-by-step explanation:

y = mx +b is the equation.

b is the y intercept which is shown as 0. We do rise over run to find x. We can see that every time it rises by 2, it runs by 1 so its 2.

The guy above me is right

Please help ASAP! Which answer choice is it???

Answers

Answer:

Choice A

Step-by-step explanation:

You can rule out choices B and D because they do not have 6 sides which your prism does. You can forget about C being correct because it doesn't have 4 long sides.

Answer:

A is the best answer

Step-by-step explanation:

it has four sides

A television game show has 10 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 8 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins no cars. The probability is (Type an integer or a simplified fraction.)​

Answers

Cocooned o’clock rank panio Italian also logo on2 w

need help: find 3x when x=2

Answers

It would be 6 because 3x2=6

Write the expression below as a product of two factors.
-12p + 6y - 24

Answers

Answer:

− 6 ( 2 p − y + 4 )

Step-by-step explanation:

Some cows are brown. Fido is not a cow. Fido must be brown.


A.) Valid Argument
B.) Invalid Argument

Please someone help me

Answers

Answer:

B.) Invalid Argument

Step-by-step explanation:

Just because Fido is not a cow does not mean that he will automatically be brown. It is already stated that some cows(something Fido is not) are colored brown.

Answer:

B invalid

Step-by-step explanation:

just because fido is not a cow doesn't mean he is brown...fido could be any other colour

please someone help me

Answers

Answer:

I think the answer is D

4b + 8c + 12 – 8b – 2c + 6.

Answers

The answer to the question is -4b+6c+18

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades. The graph below shows the annual growth of the python population from beginning 2000 to 2010. What is the domain of the graph that is shown?

Answers

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

Learn more about the function here:

brainly.com/question/5245372

9. Simplity (4a + 6) - 1 (4 + b).
c 2a +
2a + 이
s+
Aa
a+-
D 2a-b

Answers

Step-by-step explanation:

gcfucycudcuduficfiuxr

Simplify the expression:
4(b-6)+19

Please help, thank you :)

Answers

Answer:

4b - 5

is the answer

5(1-n)=75
Simplify please!!

Answers

Answer:

N=-14

Step-by-step explanation:

5(1-n)=75

5-5n=75

Subtract 5 on both sides

-5n=70

Divide -5 on both sides

N=-14

I hope this is correct and have a great day

y = 3x - 1 Let x = 6. The ordered pair is (6,_).​

Answers

Answer:

Step-by-step explanation:

y = 2x - 1

x = 6

y = 3*6 - 1

y = 18 - 1

y = 17

(6,17)

YAL HELP ME PLSS jxbxjdjd

Answers

Answer:

(d) is true

Explanation:

Given

[tex]Brown = 8[/tex]

[tex]Purple = 7[/tex]

Required

Which of the options is true

A) P(Brown) = P(Not Brown)

P(Brown) is calculated as:

[tex]P(Brown)=\frac{Brown}{Brown + Purple}[/tex]

[tex]P(Brown)=\frac{8}{8+7}[/tex]

[tex]P(Brown)=\frac{8}{15}[/tex]

P(Not Brown) is calculated as:

[tex]P(Not\ Brown) = 1 - P(Brown)[/tex] --- Complement rule

[tex]P(Not\ Brown) = 1 - \frac{8}{15}[/tex]

Solve

[tex]P(Not\ Brown) = \frac{7}{15}[/tex]

Both are not equal.

Hence, (a) is not true

(b) P(Brown) < P(Not Brown)

In (a) above

[tex]P(Brown)=\frac{8}{15}[/tex]

[tex]P(Not\ Brown) = \frac{7}{15}[/tex]

By comparison;

[tex]P(Brown) > P(Not\ Brown)[/tex]

Because:

[tex]8/15 > 7/15[/tex]

Hence, (b) is not true

(c) P(Not Brown) > P(Brown)

This is the same as (b)

i.e. both conditions represent the same.

Hence, (c) is incorrect

(d) P(Brown) > P(Not Brown)

In (b), we established that

[tex]P(Brown) > P(Not\ Brown)[/tex]

Because:

[tex]P(Brown)=\frac{8}{15}[/tex]

[tex]P(Not\ Brown) = \frac{7}{15}[/tex]

[tex]8/15 > 7/15[/tex]

Hence, (d) is true

Determine whether
25m/
5
is equivalent to each of the following expressions.
Equivalent
Not equivalent
25m-1
252m-1
52m-1

Answers

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

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

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

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

12. If n(A) = 14, n(B) = 15, and n(
AB) = 6, then n(AUB) is

Answers

Step-by-step explanation:

The above answer is right no doubt

The radius of a circle is 3 cm. Find its area in terms of \piπ.

Answers

Answer:

The area would be 28.27

Mr. Womer borrowed $1,100 to start his own business. National
Bank charged him 15% interest per year. Mr. Womer paid $330 in
interest. For what period of time did he borrow the money?

Answers

The Answer is - 2 years
1100x15%=165
165x2=330
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