Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent B) Independent


P(A) = 7/10 P(B) = 7/10 P(A and B) = 21/40
A) Independent B) Dependent

Answers

Answer 1

Answer:

Independent

Dependent

Step-by-step explanation:

Two events are independent of each other when you can mulitply them and get their intersect

we can can see that

9/20*7/10= 63/200 so these events are independent

For number 2

7/10*7/10≠ 21/40 so these events are dependent


Related Questions

find the unit rate for each graph.
i need an answer FAST!!!

Answers

Answer:

1 row for 13 charts

Step-by-step explanation:

2 rows/26charts=1row/13charts

Answer:

Step-by-step explanation:

1 row for 13 charts like he said

Please graph the linear equation y= 35x + 2

Answers

Answer:

Refer to attachment .

Step-by-step explanation:

We need to plot the graph of ,

[tex]:\implies[/tex] y = 35x + 2

Plot different values of x :-

[tex]:\implies[/tex] y = 35*1 + 2

[tex]:\implies[/tex] y = 35 + 2

[tex]:\implies[/tex] y = 37

[tex]\rule{200}2[/tex]

[tex]:\implies[/tex] y = 35*2 + 2

[tex]:\implies[/tex] y = 70 + 2

[tex]:\implies[/tex] y = 72

Hence now plot the points (1,37) and (2,72) .

• Hence we get the required graph .

How many odd numbers are greater than 30 and
less than 40?

Answers

Answer:

5 odd numberis there 31,33,35,37,39

Five odd numbers are greater than 30 and less than 40 .

What is odd number?

Odd numbers are those that cannot be evenly divided by two. It cannot be evenly split into two different integers. An odd number will leave a reminder when divided by two. 1, 3, 5, 7 are example of odd numbers.

How many odd number lies between 30 and 40?

The odd number between 30 and 40 are 31,33,35,37,39.

Therefore, total number of odd numbers which are greater than 30 and less than 40 are 5.

Learn more: https://brainly.ph/question/4122738

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pls help me, it's due in 15 mins brainilist will be given!!

Answers

Answer:

I tiz6ez7zr7zrf7xf ohch8gcg IS C

the answer is either A or D. i am going to try to solve. will post in a second

does anybody know the answer to this?

Answers

Answer:

C (136)

Step-by-step explanation:

The triangle is only rotated, the measure of <D doesn't change

How do you use the slope to find the second point for a fraction slope?

Answers

Answer:

Pretty much the same thing as the other one.

Step-by-step explanation:

Use a linear equation like y=mx+b except you graph the line down on a graph, and you use the line to kind of eyeball what fraction of a number is for the next point.

If the area of trapezoid is 100 cm, what is the perimeter of the trapezoid?

Answers

Answer:

Step-by-step explanation:

If the area of trapezoid is 100 cm²what is the perimeter of the trapezoid?

Area of a trapezoid = 100cm

= 1/2(a + b) × h = 100cm²

Perimeter of a trapezoid = a + b + h

Solve the triangle.
a = ?

Answers

9514 1404 393

Answer:

  a = 7

Step-by-step explanation:

The Pythagorean theorem tells you the value of 'a' is ...

  a^2 = b^2 - c^2

  a^2 = 25^2 -24^2 = 625 -576 = 49

  a = √49 = 7

The length of side 'a' is 7 units.

7. Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed. Show all work to receive credit. Bubble your answer on the griddable. ​

Answers

Answer:

72 square units.

Step-by-step explanation:

To find the area of the figure, we just need to find the area of the whole trapezoid and subtract the area of the small rectangle.

First, for a trapezoid of bases B₁ and B₂, and of height H, the area is:

A = (1/2)*(B₁ + B₂)*H

In the case of the image, the bottom base is 15 units long (each small square is a unit).

B₁ = 15 units

And the top base is 5 units long:

B₂ = 5 units

And the height is 10 units long.

H = 10 units.

Then the area of the trapezoid is:

A = (1/2)*(15 units + 5 units)*10 units = (1/2)*(20 units)*10 units

A = 100 square units.

The area of a rectangle of length L and width W is:

A' = W*L

In the graph we can see that:

L = 7 units

W = 4 units

A' = (7 units)*(4 units) = 28 square units.

Then the area of the figure is:

Area = A - A' = 100 square units - 28 square units = 72 square units.

Hours studying
13.8
GPA
1.42
18
16.7
3.7
3.21
18
4
0.7
21.9
1.11
3.69
1.42
13.8
18
4
15.5
16.7
3.92
3.21
3.8
18
3.5
19.7
20
9.2
4
2.23
3.77
3.92
19.5
15.5
0.7
21.9
1.11
3.69
0.7
1.11
16.7
What do you think the purpose of this survey is? Exp

Answers

Answer:

The purpose of the survey is probably to determine whether the number of hours studying correlates with a student's GPA.

what additional information is required to prove triangle ABC congruent to triangle DCB by hypotenuse-leg?

Answers

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

               AB=DE             (hypotenuse)

              AC=DE              (leg)

               BC=ED                       (leg)

                 

Therefore the additional information    will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

what is the asymptote of the exponential function y=3^x-3

A. y=3
B. y= -3
C. x=3
D. x= -3

Answers

Pretty Sure it’s A I hope I can help

please i need help with number 7 it is hard and its DUE NEXT HOUR show WORK . NO link

Answers

Answer:

Equation: 3(x+5)=60

Solution: 15 inches

Step-by-step explanation:

Let x represent the original side length of the equilateral triangle. Then, the new length of each side is x+5. Because a triangle has three sides, the new perimeter is 3(x+5), which is 60 inches. Dividing both sides by 3, we get that x+5=20, so x=15.

Karen has a cube that has a side length of 6 in. The net of the cube is shown.


What is the surface area of the cube?



A 36 square inches

B 144 square inches

C 180 square inches

D 216 square inches

Answers

Answer:

C. 180 square inches

Step-by-step explanation:

#carry on learning #mark brainlits

An angle measures 44° less than the measure of its complementary angle. What is the measure of each angle? ​

Answers

Answer:

One angle is 46° and the other angle is 44°

Step-by-step explanation:

Complementary angle means the angles add up to 90 so:

90 - 44 = 46

please help ive been struggling for a hour i will give 30 points if corrected

Answers

Answer:

EFG = 104°

GFH = 76°

Step-by-step explanation:

The sum of a linear pair is always equal to 180°

So lets solve for the variable n

2n + 32 + 4n + 16 = 180

6n + 48 = 180

6n = 132

n = 22

So now we know N

EFG = 4n + 16

EFG = 88 + 16

EFG = 104°

GFH = 2n + 32°

GFH = 44 + 32

GFH = 76°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

___
0. 901

Answers

Answer:

901/1000

hope this helps

have a good day :)

Step-by-step explanation:

A possible answer is 901/1000, because 0.901 x 1000 is equal 901.

How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x

Answers

Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.

The answer would be 15(4) = 5x


Mike bought a new shirt for $39.95. The sales tax in his city is 8.25%. What was the sales tax amount on
the shirt that Mike bought? Sales tax =

Answers

Answer:

$3.30

Step-by-step explanation:

Shirt price * city sales tax = sales tax amount on shirt. $39.95 * 0.0825 = $3.30

What type of lines makes the letter T?
A. perpendicular
B. parallel
C. neither

Answers

Answer:

Step-by-step explanation:

They answer is perpendicular

Answer:

A. perpendicular

Step-by-step explanation:

hope this helps. have a good day/night/afternoon.

what is
-3 (0.5 + 3p)= -6 (p - 5.9)

Answers

Answer:

Step-by-step explanation:

p  =  − 12.3

May I please have brainiest

Noah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?

Answers

Answer:

Disagree

Step-by-step explanation:

10^0

According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.

Hence, I disagree.

PLEASE HELP ME URGENT what is the answer

Answers

OMG U GO TO ACELLUS TOO???
the answer is 90 i think

Last year a video game cost $50. Price increase by 25% this year. What is the new price of this video game?

Answers

75.00$ dollars.......

WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!

Answers

Answer:

a = [tex]\frac{1}{2}[/tex] , b = 5, and  [tex]\frac{2b}{a}[/tex] = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

+4  +4                      Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

-3        - 3                     Do inverse operations

2 = 4a                          

[tex]\frac{2}{4}[/tex] = [tex]\frac{4a}{4}[/tex]                           Divide 4 on both sides to isolate the variable a

[tex]\frac{2}{4}[/tex] = a                            Simplify

[tex]\frac{1}{2}[/tex] = a

Then,

The second part says to find [tex]\frac{2b}{a}[/tex]

[tex]\frac{2b}{a}[/tex]

[tex]\frac{2(5)}{(\frac{1}{2}) }[/tex]                  Input both the values of a and b

[tex]\frac{10}{\frac{1}{2} }[/tex]                    Simplify

20.

The answer for a is [tex]\frac{1}{2}[/tex], the answer for b is 5, and the answer for [tex]\frac{2b}{a}[/tex] is 20.

7,10,3 how do I find the least common multiple​

Answers

Answer:

Step-by-step explanation:

Usually you do it by factoring into primes. But this choice of numbers has no common primes, so all three make up the LCM

7 * 10 * 3

210 = LCM

LCM of 4 10 and 12

4: 2 * 2

10: 2 * 5

12: 2*2*3

LCM: 2 * 2 * 3 * 5 = 60

If you don't find the LCM then the answer would be 480

Answer:

210

Step-by-step explanation:

When finding the LCM(least common multiple) you need to factor each number into the product of prime number also called finding the prime factorization. Both 7 and 3 are prime, so they do not need to be factored further. However, 10 can be factored into 5 x 2.

3 - 3

7 - 7

10 - 5 x 2

By looking at the factors above, you notice none of them are the same, so none of the numbers share factors. This means you can just multiply all the factors to get the LCM:

3 x 7 x 5 x 2

210

Use r = 2 and r = 5 to determine if the two expressions are equivalent. r + 4(2 + r) – 12 8 + 2r – 6

Answers

Answer:

No they are not equivalent

Step-by-step explanation:

The given expressions are r + 4(2 + r) – 12, and  8 + 2r – 6

Let us first put r= 2 in the above expression

2+4(2+2)-12= 6

and 8+2(2)-6 = 6

Now let us put r=5 in the above two expressions

5+4(2+5)-12 = 21

similarly, 8+2(5)-6 = 12

Clearly, the two expressions are not equivalent when we put r=2 and r=5 as the values coming are different.

Answer:

the first expression is 6.

the second expression is 12.

they are NOT equivalent.

hope this helps!! have a nice day/night

Whats the volume for this equation plzzz helpppp

Answers

v = 282,6 Cm³Cylinder

r = 3 Cm

h = 10 Cm

Volume

v = πr²t

= 3,14 x 3 x 3 x 10

= 9,42 x 3 x 10

= 28,26 x 10

= 282,6 Cm³
282.6 cm^3 will be your answer

Please help will Mark brainliest

Answers

Answer:

well it is explained here

Step-by-step explanation:

copy, paste download file open and expination is here  

check in the comments

What is the Celsius equivalent of 80°F Show all work.

What is the Celsius equivalent of 35°F Show all work.​

Answers

Answer:

80-32=48(5/9)=26.67 C; 35-32=3(5/9)=1.67 C

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