Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer 1

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25


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best estimate for 563 / 15

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Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.​

Answers

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

AC=39 Find the length of AB

Answers

Answer:

AB = 12

Step-by-step explanation:

Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?

Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

(-4)x(4+4-(6-(-10)) ?

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Answer:

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Step-by-step explanation:





| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |

Why do we need an order of operations?

Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?

We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?

Convert 1AA from hexadecimal to decimal.

Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many

Answers

Answer:

0 because both equations on either side will cancel out

Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children get for snacks?

Answers

Answer:

Each child would get $8.00.

Step-by-step explanation:

An equation to represent this would be:

40/5

When you divide 40 by 5, you get 8 which results in the children each getting $8.00

Answer:

Each kiddo will get 8 dollars each

Step-by-step explanation:

40 divided by 5 = 8

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Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25

Answers

Answer:

25

Step-by-step explanation:

took test on edge

Please help will do brainliest

Answers

Answer:

2x-7y

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Step-by-step explanation:

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?

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I’m so hungry gurlll like stop playinn

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Answers

slope=0
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The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?

Answers

Answer:

$33.48

Step-by-step explanation:

45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

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-4(3/2x - 1/2) = -15

Answers

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee

Answers

x^2 + 5 = 5 + x^2 will give you the same answer. Also know as the commutative property. Answer is (3)

At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?

Answers

Answer:

4 to 5 also,written as 4:5

Step-by-step explanation:

60 cows to 75 sheep

60:75

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(1 + a)
(1 – a)

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

if m equals x plus 4 squared and x equals -1 then m equals what​

Answers

Answer:

15?

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Hope this helped!

The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)

Answers

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

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[tex]V = \pi r^2 h[/tex]

[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]

[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]

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[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]

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[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

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Answers

Answer:

(D).

Step-by-step explanation:

ΔABC ~ ΔXYZ

(D).  [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

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Answers

Answer:

B

Step-by-step explanation:

A cubic function begins with an X^3.

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Answers

Answer:

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Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

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Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

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