4. Suppose the probability of event A is 0.23, the probability of the intersection of event A and event Bis 0.12, and
the probability of the union of event A and event B is 0.34. Find the probability of the complement of event B.
(A) 0.11
(B) 0.23
(C) 0.48
(D) 0.52
(E) 0.77

Answers

Answer 1

Answer:

[tex]P(B') = 0.77[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.23[/tex]

[tex]P(A\ n\ B) = 0.12[/tex]

[tex]P(A\ u\ B) = 0.34[/tex]

Required

Find P(B')

First, we calculate P(B).

We have:

[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]

Substitute values

[tex]0.12 = 0.23 + P(B) - 0.34[/tex]

[tex]0.12 = 0.23 - 0.34 + P(B)[/tex]

Collect like terms

[tex]P(B) = 0.12 - 0.23 + 0.34[/tex]

[tex]P(B) = 0.23[/tex]

P(B') is then calculated as:

[tex]P(B') = 1 - P(B)[/tex]

[tex]P(B') = 1 -0.23[/tex]

[tex]P(B') = 0.77[/tex]


Related Questions

Jonas has 3 more than two times the number of video games that Amber has. Amber has 12 games. How many does Jonas have? To solve this problem using algebra, which of the following is one step that you will take?

Answers

Answer:

36

Step-by-step explanation:

So Jonas has ? number of games.

Multiply 12 by 3.

You get thirty-six.

So Jonas has thirty-six games.

One step you take is multiplying 12 by 3.

I hope this helps! :)

A factory can make 120 backpacks in 3 hours.
How long would it take to make 600 backpacks?
15 h
20 h
30 h
40 h

Answers

600/120 is 5
120 is 3 hrs and 600 is 5 times more so it’ll take 15 hrs

hi please help :)))))))

Answers

Answer:

there is no difference

Step-by-step explanation:

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

The total for some groceries at the store was $25.63. With 8% sales tax, what is the total? $

Answers

Answer:

$2.05

Step-by-step explanation:

just do the math bro

Answer:

$27.72

Step-by-step explanation:

I hope this helps!!!

Consider proving the following.

Given Right isosceles △ABC with leg length 2s, right isosceles △WXY with leg lengths s, CA¯¯¯¯¯¯¯¯∥WY¯¯¯¯¯¯¯¯¯
Prove △ABC is similar to △WXY.




A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?


1. Rotate △ABC′ 90∘ about point A.

2. Reflect △WXY in WX←→− to create △WXY′.

3. Translate △ABC′so that point A maps to point W.

4. Find the hypotenuse of △ABC′ in terms of s.

Answers

Answer: 2

Step-by-step explanation:

pls solve for x, will give brainliest to whoever

Answers

Answer:

60 degrees

Step-by-step explanation:

all angles of an equilateral triangle are 60 degrees

Answer:

x=60

Step-by-step explanation:

We know that since all sides are the same, all angles are the same.

x=angle

(180) is the amount of degrees when you add up all of the angles in the triangle

3x=180

x=60

Find 0% of 152:
Find 100% of 152:
Find 50% of 152:
Find 25% of 152:
Find 75% of 152:

Answers

0% of 152: 0
100% of 152:152
50% of 152:76
25% of 152:38
75% of 152:114

I need help with solving systems of linear equations through elimination.
1.) 8x = 3y + 38
24= 6y + 9x
a. all real numbers
b. (4,-2)
c. (4,-4)
d. (6,3)
2.) 6 = 2x + y
7x = 3 - 3y
a. (15,-36)
b. (-5,6)
c. (0,0)
d. (-15,36)
3.) 11x = 5 + 10y
7y = -2x +45
a. (-5,10)
b. (5,5)
c. (14, -4)
d. No solution

Answers

Answer:

See explanation

Step-by-step explanation:

8x = 3y + 38  

24= 6y + 9x  

Rearrange;

3y - 8x = -38       * 2     -------(1)

6y + 9x = 24       * 1       -------(2)

6y - 16x = -76    -------(3)

6y + 9y  = 24    -------(4)

Subtract (4) from (3)

     -25y = -100

      y= 100/25

     y = 4

Substitute y =4 into(1)

3y - 8x = -38    

3(4) - 8x = -38

12 -8x = -38

-8x = -38 - 12

x = 50/8 = 6 2/8

2) 6 = 2x + y

7x = 3 - 3y

Rearrange;

2x + y = 6            * 3    --------(1)

7x + 3y = -3         * 1     --------(2)

6x + 3y = 18        ---------(3)

7x  + 3y = -3        ---------(4)

Subtract (4) from (3)

-x   = 21

x = -21

Substitute x = -21 into (1)

2x + y = 6

2(-21) + y = 6

-42 + y = 6

y = 6 + 42

y = 48

3)  

11x = 5 + 10y

7y = -2x +45

Rearrange

11x - 10y = 5          * 2  ---------(1)

2x + 7y   = 45       * 11  ---------(2)

22x - 20y = 10     --------(3)

22x + 77y = 495  --------(4)

Subtract (4) from (3)

       -97y  = -485

          y =  5

Substitute y =5 into (1)

11x - 10y = 5  

11x - 10(5) = 5

11x - 50 = 5

11x = 5 + 50

11x = 55

x = 55/11

x = 5

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

Solve for x
7x−4≤6

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

X≤10/7

Step-by-step explanation:

7x-4≤6

add 4 both sides

7x-4+4≤6+4

7x≤10

divide 7 both sides

7x/7≤10/7

x≤10/7

hope it's helpful ❤❤❤❤

THANK YOU.

The solution of the given inequality is x≤10/7.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be simplified for the value of x as shown below.
7x − 4 ≤ 6

Add 4 both sides,

7x - 4 + 4 ≤  6 + 4

7x≤10

Divide 7 both sides,

7x/7 ≤ 10/7

x ≤ 10/7

Hence, the solution of the given inequality is x≤10/7.

Learn more about Inequality here:

https://brainly.com/question/19491153

#SPJ2

Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis

Answers

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

Question is in the Picutre attached.

Answers

Bisectors make two congruent segments. Thus, set the two expressions equal to each other. Solve for x. Then plug back in to the expression for QP. I have attached the work to clarify. Hope it helps!

Solve for x : 5= 2+3x. Single choice. answer choices:

x=7/3

x=1

x=-1

Answers

x=1

5=2+3x

subtract 2 from both sides

3=3x

divide 3 on both sides

3= x

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Find the exact value of csc 5pi/6

Answers

Answer:

csc 2 (csc [tex]\frac{5\pi}{6}[/tex] = csc 150 = csc 30 = csc 2)

Step-by-step explanation:

csc [tex]\frac{5\pi}{6}[/tex] is in the 2nd Quadrant where only sin, and csc are positive.

csc [tex](\frac{5\pi}{6})=csc (\pi -(\frac{5\pi}{6}))=csc(\frac{5\pi}{6})[/tex]

but csc [tex]\frac{5\pi}{6}[/tex] = [tex]\frac{1}{sin (\pi/6)} = \frac{1}{sin 30} = \frac{1}{1/2} =2[/tex]

Which statement is NOT TRUE when solving 5x - 4 = 26 *
O I need to add 4 to both sides of the equation.
O I need to divide both sides of the equation by 5.
O My answer is that x = 6
O My answer is that x = 4.4

Answers

Answer:

My answer is that x = 4.4

Step-by-step explanation:

The answer to the equation is 6, so the false one is the last one. All the other ones are true.

this last one, the answer IS 6 so it cant also be 4.4

A figure is shown.

What is the measure, in degrees, of PLEASE HELP ME

Answers

the answer is 121 degrees

explanation: 59+4x=180
4x=121
121 would be that angle and the other side as well because 59+121=180



hey so don’t trust me on this but i’m like 95 percent sure it’s right

How are these triangles congruent??????

Answers

Answer:

These triangles are congruent.

Step-by-step explanation:

These triangles are congruent because they have same length.

hope this helps u!

Triangles are congruent because they got the same length they the same basically just in different sides


I need help with this

Answers

Answer:

x = 104 degrees

Step-by-step explanation:

A line like this will always have a measure of 180 degrees, therefore when the two sides are combined, it must equal 180, which means you can set up an equation and x can be determined

72 + x + 4 = 180

76 + x = 180

-76         -76

x = 104 degrees

Hope this helps!

that line that contains labeled angles is a straight angle and straight angles are 180 degrees. So you would do 72 + x+4=180 (you can remove the parenthesis because + * + = +). Simplify the equation to x+76=180. subtract 76 from both sides and get x=104 degrees as your final answer.

The ratio of the measures of the sides of a triangle is 2:3:7 and the length of the longest side is 91 find the perimeter

Answers

Answer:

103

Step-by-step explanation:

i hope this helps

welcome

The absolute value of -15 is -15 because -15 is 15 units to the left of zero

Answers

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

PLS HELP I HAVE QUESTIONS

Answers

Answer:

wait thats blurd plis paki ayos ng picture thanks

Answer:

retake the pictures please its blurry

Step-by-step explanation:

so I can help you

find the 7th term in the sequence?
-1,-3,-9

Answers

Answer: -21, what ever number you have you subtract 3 from that number. So after -9 would be -12 and so on

Answer:

-729

Step-by-step explanation:

Given is a geometric sequence.

Therefore,

a = - 1, r = - 3 /(-1) = 3, n = 7

[tex] a_7 =? [/tex]

[tex] \because a_n = ar^{n-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{7-1} [/tex]

[tex] \therefore a_7 = (-1)(3)^{6} [/tex]

[tex] \therefore a_7 = (-1)(729) [/tex]

[tex] \therefore a_7 = -729 [/tex]

For each expression, use a property to write an equivalent expression. Tell which property you used.

1. (ab)c =

2. 3y + 4y =

3. 6 x 7 =

Answers

Answer:

1. is the answer

Step-by-step explanation:

Because i did the test

5 is 1% of what number?

Answers

Answer:

500

Step-by-step explanation:

well uh, 5 x 100 is 500 and it’s out of 100%.

Answer:

500

Step-by-step explanation:

Ay anyone willing to help me with my work kinda lost

Answers

Okaayyy

Set B has the greater mode

I need help with this I will mark you if it’s not wrong

Answers

Answer:

C

Step-by-step explanation:

May I please have brainliest

Answer:

The answer is C

Step-by-step explanation:

I subtracted 29 from 180, and then i added 5 since it is subtracting

PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.



What is the unit rate of her speed in miles per minute?

Answers

Answer:

Her speed is 0.05 miles per minute

Step-by-step explanation:

The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:

0.5 miles in 10 minutes. So

0.5/10 = 0.05 miles per minute

Her speed is 0.05 miles per minute

Which ratio is equivalent to 10:4

5:2
14:6
1:4
3:6

Answers

Answer:

5:2

Step-by-step explanation:

10:4/2

5:2

Answer:

5.2

Step-by-step explanation:

divide 10:4 by 2 and you will get 5:2

Question 2 (1 point)
(07.01)

Solve 3x−5 = 9. (1 point)

a
x = −3

b
x = 2

c
x = 7

d
x = 8

Answers

Answer:

All options are wrong.................

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