The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%

Answers

Answer 1

Answer:

[tex]P(A\ n\ B) = 6\%[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.2[/tex]

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

Required

Determine [tex]P(A\ n\ B)[/tex]

Since both events are independent;

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

[tex]P(A\ n\ B) = 0.2 * 0.3[/tex]

[tex]P(A\ n\ B) = 0.06[/tex]

Convert to %

[tex]P(A\ n\ B) = 0.06 * 100\%[/tex]

[tex]P(A\ n\ B) = 6\%[/tex]


Related Questions

What are the answers

Answers

Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

penny reads 10 pages in 1/2
hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer:

she would read 20 pages in 1 whole hour

Which of the following statements best describes the location of -(-6) on a number liner

A. It is 6 units to the left of 0.

B. It is 6 units to the night 6.

C. It is 6 units to the right of 0.

D. It is 6 units to the left of 6.​

Answers

The answer is A!!!!!!
Answer:
C. It is 6 units to the right of 0.

Explanation:
-(-6) can be rewritten as 6 because two negatives next two each other make a positive. 6 is 6 units to the right of 0, so therefore, -(-6) is also 6 units to the right of 0.

I hope this helps!

15
The warmest temperature last winter was 17° F. The very next day, the temperature dropped 22° F. What was the actual temperature at the
end of the second night?
°F

Answers

Answer:

-5 degrees fahrenheit

1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)

Answers

Answer:

orientation is preserved (stays the same)

Step-by-step explanation:

2. through: (8,5), perpendicular to y=-1/2x +4

Answers

Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11

PLS HELP
Determine the intercepts of the line. y=11x+6 (x and y intercept)

Answers

Answer:

Step-by-step explanation:

the xintercept is (-6/11,0)

y intercept is (0,6)

Is 2(6-3x)+x equivalent to 2(3x)+x?

Answers

No
2(6-3x) = 12-6x
2(3x)+x = 7x

If b(x) = -2(x​​-50), what is the value of b(20)?

Answers

Answer:

60

Step-by-step explanation:

-2(20​​-50)

-40 + 100 = 60

quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)

Answers

Okay

Step-by-step explanation:

Complete the work to solve for y:

What is the value for y?

Answers

Answer:

The value of y = 11/2

Step-by-step explanation:

As the work is completed up to the point

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Now completing the remaining work

[tex]\frac{11}{5}=\frac{2}{5}y[/tex]

Dividing both sides by 2/5

[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]

[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]            ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]

[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]              ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]

[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex]                   ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex]                 ∵  [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]            

[tex]y=\frac{11}{2}[/tex]                    ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]

Therefore, the value of y = 11/2

What is the ratio of green stars to red stars? 4 green stars and 6 red stars

Answers

Answer:

2:3

Step-by-step explanation:

we have 4 green stars

and six red stars

as a ratio, it's

4:6

simplified

2:3

Which Figure is a rotation of the Blue Figure?
A
B
C
D

Answers

Answer:

a

Step-by-step explanation:

the green figure is the same as the blue figure.

What is the
proprtion?​

Answers

In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant; that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.

Janice is redecorating her room. She wants to paint a design on a rectangular section of her wall that is at least 76.5 square feet. The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall? PLEASE HELP!!

Answers

Answer:

9 feet

Hope this helps

Answer:

9 feet

Step-by-step explanation:

I = 9 feet ~ C

Plzzzzzz helpppppp meeeee

Answers

The number of people in thousands

Insert brackets to make this calculation correct.
4 - 1 x 2 = 6

Answers

Answer:

(4-1)x2=6

Step-by-step explanation:

(4-1)x2=6

(3)X2=6

6=6

Answer:

[4 - 1] x 2 = 6

Step-by-step explanation:

Test out each possible solution.

Problem: 4 - 1 x 2 = 6

#1: [4 - 1] x 2 = 6

4 - 1 is 3.

3 x 2 is 6.

6 = 6 ✅

#2: 4 [-1 x 2] = 6

-1 x 2 is -2.

-2 [tex]\neq[/tex] 6 ❎

Therefore, #1 is correct.

NG
1. An exterior angle of a triangle has a measure of 68º. Which of the following could not be the measure of
one of its remote interior angles?

Answers

Answer:

(4) 71°

Step-by-step explanation:

The sum of remote interior angles is equal to the sum of exterior angle.

The angle that could not be the measure of  one of its remote interior angles is 71 degrees

First, we must understand that any interior angle of a triangle cannot be greater than its exterior angle.

The correct value in the given option will be any angle that is greater than 68 degrees.

From the given options, we can see that the only angle that is greater than 68 degrees is 71 degrees.

Hence the angle that could not be the measure of  one of its remote interior angles is 71 degrees

Learn more here: https://brainly.com/question/24231058

Pls help me asap!!!!

Answers

I believe that it is C, mind you I could’ve got it wrong. It’s been awhile since I’ve done that kind of math.

Find the slope and the y-intercept of the line.
y = 8x - 1

Answers

Answer:

y = - 1

you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1

NEED HELP ASAP. WILL GIVE BRAINLIEST

Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: u = 14 |v1 = 16 The angle between u and w is 120°.

The magnitude of w is approximately?

The angle between w and u is approximately?​

Answers

Answer:

The magnitude of w is approximately 26.

The angle between w and u is approximately 32.2°.

Step-by-step explanation:

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.

Given :

Let w represent the sum of vectors u and v.  |u| = 14 |v| = 16 The angle between u and w is 120°.

a) The magnitude of 'w' is calculated using the below formula:

[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]

Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.

[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]

Simplify the above expression.

[tex]w =15.1[/tex]

b) The angle between w and u is calculated using the below formula:

[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]

Now, substitute the above values of u and v in the above expression.

[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]

Simplify the above expression in order to determine the value of [tex]\beta[/tex].

[tex]\beta = 62.67^\circ[/tex]

The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.

For more information, refer to the link given below:

https://brainly.com/question/13188123

What is the solution to this system of equations?
x+y= 6
x=y+4

Answers

Answer:

5,1

Step-by-step explanation:

mark brain if right

Answer: (5,1)
x=5
y=1

Solving Steps:

What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?

Answers

Answer:

A

Step-by-step explanation:

y is directly proportional to x2
If y = 12 when X = 2 find
X when y = 300

Answers

80 I hope this helps

If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4

Answers

Answer:

B. [tex]s=\dfrac{1}{4}\times420[/tex]

Step-by-step explanation:

Total number of students surveyed = 420

Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]

The number of students that prefer rap is 105

So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].


During an 8-hour shift, Sophia can make
24 sweaters.

Answers

Answer:

so what can we do for Sophia???

LOL

Step-by-step explanation:

Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Credit card balance = $34

Amount of sandwich purchased = $40

The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.

Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40

Hence; new card balance :

(Intial card balance + cost of sandwich)

$34 + $40 = $74

x= 7
what does the following expression equal:
3+6x-12x+14

Answers

Answer:

-25

Given:

x=7

Step-by-step explanation:

3+6x-12x+14

⇒ 3 + 6(7) - 12(7) + 14

⇒ 3 + 42 - 84 + 14

⇒ 45 - 84 + 14

⇒ -39 + 14

⇒ -25

hope you understood!

3+42-84+14=
Work from left to right
45-84+14=
-39+14=
ANSWER: -25

3 divided by 2/5

A. 7
B. 7 1/5
C. 7 1/2
D. 8

Answers

The answeris (71/5)..

Answer:

C

Step-by-step explanation:

3 divided by 2/5 will become 3 times 5/2

multiply the numerator so 15

and the denominator is 2

15/2 is 7.5

so 7 and 1/2

so your answer is C

Two parallel lines are crossed by a traversal. What is the value of b?
b=32
b=52
b=118
b=128

Answers

Answer:

b = 128 answers it is alternate angle

Answer:

C). b=118

Step-by-step explanation:

took the test on edge

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