Mathematics High School

Given that P(A) = 0.5, P(B) = 0.2, and P(A and B) = 0.1, which best describes the relationship between events A and B?

Answers

Answer 1

Answer: Events A and B are independent.

=============================================

Explanation:

Note how,

P(A)*P(B) = 0.5*0.2 = 0.1

which matches exactly with P(A and B) = 0.1

Therefore,

P(A and B) = P(A)*P(B)

is a true statement. This further leads to events A and B being independent.

Related Questions

PLEASE PLEASE PLEASE HELP

solve the problem and show steps:
5x+4y=2
3x+3y=-3

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Are these both individual problems or a part of the same question? If you could provide more details, I can see how I can help you with this question. Thanks!

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Answer: I think it’s d

Step-by-step explanation:

The answer is d or c

Is y=8 a linear equation?

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Answer:

No, but y = 8x is. There has to be an x after your number for it to be called a linear equation.

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Answer:

6-(4+n)

n=6-4

n=2

it may be answer

Answer:

- 17

Step-by-step explanation:

[tex]3m - (m { }^{2} + n \:) \\ = (3 \times 2) - (2 { }^{2} + 19) \\ = 6 - (4 + 19) \\ =6 - 23 \\ = - 17 [/tex]

10% of that sale price is $10.5 so after using the coupon the sale price is

Answers

$9.45

10% of 10.50 is 1.05
10.50 - 1.05 = 9.45


What is y? make sure to show all your work for full points ​

Answers

y is a 97 degree angle

Angle z is 83 because the sum of all interior angles in a triangle is 180
180-55-42 = z
83 = z

Angles y and z are supplementary angles, so they add up to 180.
Since z = 83 and 180 - 83 = 97, angle y is 97 degrees

Explain how both predators and prey can be carnivores or herbivores

Answers

Answer:

Predators can sometimes eat vegetation. For example, dogs often eat grass and raccoons eat fruits and vegetables. Herbivores also sometimes eat meat in dire conditions. Sometimes rabbits can eat meat to survive.

Step-by-step explanation:

PLS HELP !!! I WILL GIVE BRAINLIEST !!! BUT ONLY ANSWER CORRECTLY OR I WILL REPORT U.

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Answer:

diamond: yz = hi

Step-by-step explanation:

since its SAS the other side of the angle needs to be equal

(12x³+x²)-(18x³-3²+6)

Answers

answer is
-6x^3+x^2+3



-12x + 20 < -52
PLEASE SHOW THE WORK!

Answers

The answer is x>6


The steps :
Step 1 given -12x+20<-52
Step 2 move constant to the right hand side and change its sign -12<-52-20
Step 3 calculate the difference 12x<-72
Step 4 divide both sides of the inequality by -12 and flip the inequality sign x>6
I hope this help let me know if you have any questions

Find 45% of 50. Round your answer to the nearest tenth place if necessary.

Answers

Hello!

[tex]\large\boxed{ = 22.5}[/tex]

Find 45% of 50 using multiplication. Begin by converting 45% into a decimal:

45 / 100 = 0.45

Multiply 50 by the solved value above to find the amount:

0.45 × 50 = 22.5

IN HARRY POTTER
movie
⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇
What is Nearly Headless Nick's full name?


Sir Nicholas Radcliffe

Sir Nicholas Grint

Sir Nicholas Rowling

Sir Nicholas de Mimsy-Porpington​

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Sir Nicholas de Mimsy Porpington

Answer:

Sir Nicholas de Mimsy-Porpington​

Step-by-step explanation:

btw, u picked the wrong subject

What is the answer?​

Answers

Answer: 6528 square inches

Step-by-step explanation:

First, add the 17 inches and the 4 inches together to get the total side length for the bigger cube and you should get 21 inches. Then, multiply all the sides of the bigger cube together (24*12*21). Finally, do the same thing with the smaller cube and add both volumes together.

who has the greater rate of change?

Answers

your answer is the yellow one your welcome

Answer:

Casey has the greater rate of change

Step-by-step explanation:

Find the number that belongs in the green box.

Round your answer to the nearest tenth​

Answers

Answer:

134.5 degree

Step-by-step explanation:

first find the remaining side of a triangle

BY using cosine rule

C^2=A^2+B^2-2ABcosx

apply square root both sides

√c^2 =√[4^2+10^2-2(4)(10)cos29]

C=√(116-69.96958)

C=√46.03

C=6.8

Now find angle using cosine rule

C^2=A^2+B^2-2ABcosx

10^2=4^2+6.78^2-2(4)(6.78)cosx

100=16+45.9684-54.24cosx

100=61.9684-54.24cosx

100-61.9684=-54.24cosx

(38.0316)/-54.24=(-54.4cosx)/-54.24

-0.70117=cosx

X= cos inverse of -0.70117

x=134.5 degree

Answer:

as below

Step-by-step explanation:

It takes Natalie 50 minutes to drive 40 miles. It takes Sandra 32 minutes to drive 24 miles. Who is the faster driver?

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Answer:

Natalie

Step-by-step explanation:

Find the slope of the given lines.
į passes through
(0, 3) and (3, 1)

Answers

Answer:

Step-by-step explanation:

0,3       3,1

The rise of this equation is 4. (the rise is the y)

The run of this equation is 3(x)

A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.

How many desks are to be in each secondary classroom?

Answers

Answer:

27

Step-by-step explanation:

What is half of 4 5/8​

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Answer:

2.3125

Step-by-step explanation:

Answer:

[tex]2\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]4\frac{5}{8}=\frac{37}{8}[/tex]

[tex]\frac{37}{8}:2=\frac{37}{16} = 2\frac{5}{16}[/tex]

Consider the equation 6x+3y=9. Which equation, when graphed with the given equation, will form a system with infinitely
many solutions?
y+ 2x - 3
Oy+ 2x - 9
Oy - 2x+3
Oy--2x9

Answers

Answer:

y=-2x+3

Step-by-step explanation:

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Please help.....................................................

Answers

Answer:

Neither are a solution I believe

JUST DO IT PKEASE DIWOSJJDNKA

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do u have snap ? there’s a group we help each other with our school work

A repairman works 70 hours. He charges $75 plus $40 per hour.
Which equation shows this situation?
Ay = 40x + 75
B y = 75x + 40
C y = 70x + 75

Answers

A y since it shows there’s more then 1 40 (the x) and that we only have 1 75$ added to the total.
ay because if he charged 75+ and + 40 that’s your answer

what is 8 4 and 5 rounded to the nearest tenth?

Answers

Answer:

8 rounded to the nearest tenth is 10.

4 rounded to the nearest tenth is 0.

5 rounded to the nearest tenth is 10.

8 is 10 4 is 0 and 5 is 10

Can someone please help me I will be forever grateful

Answers

Answer:

66 feet

Step-by-step explanation:

30+30=30 feet

6+6=12 yards

1 yard=3 feet

12*3=36

30+36=66

( -3+71i )+(9)=

express your answer in the form ( a + bi )

Answers

Answer:

6 + 71i

Step-by-step explanation:

-3 + 71i + 9

combine like terms

6 + 71i

it takes a jet 2 hours to fly 1,000 miles. At this rate, how far does it fly in 8 hours?

Answers

1000/2=500
500*8=4,000
So the plane could go 4,000 miles in 8 hours

Please give the brainliest

Someone help me on homework I'll give brainliest

Answers

Answer:

Y - axis

Step-by-step explanation:

Hope this helps.

Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. Y=

Answers

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

Answer:

3x+18

Step-by-step explanation:

Let's find the slope:

Slope

=

0

−

(

−

9

)

−

6

−

(

−

9

)

=

9

3

=

3

 

Slope

​

 

=

−6−(−9)

0−(−9)

​

=

3

9

​

=3

​

The equation is

y

=

3

x

+

b

y=3x+by, equals, 3, x, plus, b for some

b

bb.

Hint #22 / 3

Let's plug the point

(

−

6

,

0

)

(−6,0)left parenthesis, start color #11accd, minus, 6, end color #11accd, comma, start color #ed5fa6, 0, end color #ed5fa6, right parenthesis to find

b

bb:

y

=

3

x

+

b

0

=

3

(

−

6

)

+

b

0

=

−

18

+

b

18

=

b

 

y

0

0

18

​

 

=3x+b

=3(−6)+b

=−18+b

=b

​

Hint #33 / 3

The equation is

y

=

3

x

+

18

y=3x+18y, equals, 3, x, plus, 18.

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