P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?

Answers

Answer 1

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

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

What is P(A and B)?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1[/tex]

P(A and B) = 0.1 = 10%


Related Questions

Does anyone know what the answer please???

Answers

Answer: 8

As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2

In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2

Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.

The recipe for a fruit salad calls for 5 bananas, 3 peaches, 2 apples, 1 pear, 8 strawberries, 1 cantaloupe, and 2 oranges. What is the ratio of peaches to the total?

Answers

Answer:

3/22

Step-by-step explanation:

add all fruits together-

5+3+2+1+8+1+2

8+3+9+2

11+11

22

there are 3 peaches. Ratio- peaches/total

Ratio- 3/22

Hope this helps. Have a nice day you amazing bean child.

Answer:

3/22

Step-by-step explanation:

also hi

Researchers collected data from 100 randomly chosen counties in Texas on pollution levels and asthma rates. Pollution levels were measured by calculating the average number of air particulates (in mg/m3) and asthma rates were calculated as the percent of residents (0-100%) diagnosed with asthma. After confirming all relevant assumptions, they ran a linear model predicting asthma rates based on pollution level: Estimate Std. Error (Intercept) 3.61 2.05 pollution 0.78 0.29 Are pollution levels in Texas counties a significant linear predictor of asthma rates

Answers

Answer:

The answer is "3.14".

Step-by-step explanation:

The coefficient of pollution level is "b" and "a" intercept

[tex]\to y=a+bx\\\\[/tex]  

We must verify it.

[tex]H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\[/tex]

[tex]Beta \to b=1.76, SE=0.56 \ Estimate[/tex]

The statistics on tets are now provided

[tex]\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14[/tex]

Because statistics will be more than critical [tex](1.984)[/tex] values, we thus reject[tex]H_0[/tex]

what is 13 more than 3 times a number is 34 and what is the solution

Answers

Answer:

13 + 3x = 34

Variables:

x = random number

Write an equation in slope and intercept form of the line (0,4) and (2,0)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:

[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]

So, the slope is -2.

2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.  

3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:

[tex]y = -2x + 4[/tex]

Find the area of the Composite shape.

Answers

Get the permiter of both shapes then divide

Inequality of t+250+800

Answers

Answer:

2983839i8

468393749493948

Hsjejrhrjjh4u4i84748394

Je83847483

373783838383884

373838383

Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff

267.4 divided by 1\10

Answers

Answer:

2674

Step-by-step explanation:

267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.

Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.

Write an equation of the line. (-2, 5), (5, -2)

Answers

Answer:

-2 x 5=10

Step-by-step explanation:

pls help find area and perimeter

Answers

Answer:

A is 14 and P is 17

Step-by-step explanation:

working is above mentioned

A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y

Answers

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

(a+2)
(a+5)
(a−2)
(a−5)

Answers

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a  +  5

    X  5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10

a  +  2    

______

(a + 5) (a + 2)

Answer:

a

Step-by-step explanation:

i need this fast thank you! :)

Answers

Answer:

C

Step-by-step explanation:

Hope this helps! Good Luck!

a

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400

Mr. Benson must give each child 3/12 of a pizza. She is feeding 8 children. How much pizza does Mr. Benson need to make.

Answers

Answer:

2 pizzas to feed 8 children

Step-by-step explanation:

3/12 simplified is 1/4

this means that with one pizza you can feed four children.

What is the perimeter??

Answers

Answer:

soma tudo se n for multiplica

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S M/JIB MYP MATH 1: Period 8-E X
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Jenna Hill
Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?

Answers

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Multiplying Polynomials write in standard form
(x+3)(x+4)

Answers

Answer:

x² + 7x + 12

Step-by-step explanation:

1. (x +3)(x+4)      - Distribute

2. x² + 4x +3x + 12   - Add like terms

3. x² +7x + 12

3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

Answers

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

a bag contains 8 red marbles, 4 blue marbles, and 5 white marbles. Tom picks two marbles at random, without replacement. What is the probability that Tom picks two blue marbles?

Answers

Answer:

11.76% rounded to place value

Step-by-step explanation:

Add all values to get 17. 2 / 17 = 0.117647......  11.76% chance

A coin and a number cube with the numbers 1 through 6 are tossed. What

is the probability of the coin showing tails and the number cube showing

the number 3?

a. 1/12

b. 1/4

c. 1/8

d. ½
with some justification please ​

Answers

Answer:

yes

Step-by-step explanation:

opo

State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group be the group of stores where customers are approached by salespeople and let group be the group of stores where customers are not approached by salespeople.

Answers

Complete question is;

State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople

Answer:

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Step-by-step explanation:

Group 1 = the group of stores where customers are approached by salespeople

Group 2 = the group of stores where customers are not approached by salespeople

Now, we want to test to check if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.

Thus, defining the hypotheses, we have;

Null hypothesis; H0; μ1 = μ2

Alternative hypothesis; Ha; μ1 > μ2

Please help!? Work out the size of angle x. 42 degrees and 123 degrees?

Answers

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

180° - 123° = 57° (sum of angles on a straight line)

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

57° + 42° + u° = 180°

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° + 81° = 180°

x° = 180° - 81°

x° = 99°

Base is 4 1/2 and height is 2 2/3, what is the area

Answers

Answer:

12

Step-by-step explanation:

have a good day/night

may i please have a branlliest\

sorry if it wrong

Evaluate the expression when m=6 and n=9 n+8m=

Answers

57

explanation: n+8m= (9)+8(6) = 9+48 = 57
answer: 57

step by step- n+8m=(9)+8(6)=9+48=57

It's free!

Enjoy! :)

A triangular pyramid is 30 meters tall and has a base area of 500 square meters. What is the volume of the pyramid?

A) 7,500
B) 5,000
C) 15,000
D) 6,200

Answers

Answer:

C

Step-by-step explanation:

if it has a base area that means 500/4 = 125 so each side is 125 on the base.

The formula for the volume of a triangular pyramid is 1/3lwh.

if L=125 and w=125 and H= 30

we multiply 125·125·30=468750

and 468750/3=156250

so rounding that, our base would be C)15,000

a2+9a+18

Can someone factor this for me

Answers

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)


If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,
then how much does she save?


Answers

Answer:

$56.25

Step-by-step explanation:

450/8=56.25

someone please help me answer this

Answers

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

Convert 42°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas

c=5/9(F-32)
F=9/5 C+32

Answers

9514 1404 393

Answer:

  5.6 °C

Step-by-step explanation:

Put the number in the formula and do the arithmetic.

  C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9

  42 °F ≈ 5.6 °C

Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?

Question 9 options:

6 red


4 red


5 red


11 red

Answers

Answer:

the answer is A. 6 red

Step-by-step explanation:

3*3=9 3*2=6

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