Given the following probabilities, determine whether
the events A and B are independent or dependent.

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer:

F

Step-by-step explanation:

3.5*3=10.5

Answer:

21 / 252

Step-by-step explanation:

Recall : nCr = n! ÷ (n-r)!r!

The total possible outcome ; 5 questions out of 10

10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252

Required outcome :

All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered

7C5 * 3C0

7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21

3C0 = 3! ÷ 3!0! = 1

Probability = required outcome / Total possible outcomes

P(All 5 questions prepared for appears) :

[7C5 * 3C0] ÷ 10C5

(21 * 1) / 252

= 21 / 252

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

L = 2.5 feet

Hence,

2.5 = 0.55W

W = 2.5/0.55

W = 4.5454545455 pounds

Approximately, weight of the sea turtle in pounds = 4.55 pounds

Answer:

400

Step-by-step explanation:

6x + 800 = 3200

6x = 3200 - 800

6x = 2400

    = 2400 / 6

x   = 400

Hope this answer helps you :)

Have a great day

Mark brainliest

The number of people who paid $6 for a ticket on Wednesday are 300.

The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.

According to the given question.

Number of tickets sales for Wednesday = 400

Also, on Wednesday number of people who paid $8 for tickets = 100

Therefor,

The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8

[tex]= 400 - 100\\= 300[/tex]

Hence, the number of people who paid $6 for a ticket on Wednesday are 300.

Find out more information about subtraction here:

https://brainly.com/question/13619104

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Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

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Answer: Choice D

|-50-12| = |-62| = 62 units

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

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

Answer:

5/6

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (10 - 5)/(9 - 3) = 5/6

Answer: 5/6

Answer:

Hi! The answer to your question is [tex]m=5/6[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

©

[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]

Answer:

it's an angle X duh he he he be

Answer:

Step-by-step explanation:

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

Step-by-step explanation:

Answer:

Answer is 5 °C.

Step-by-step explanation:

5 is answer

Answer:

The mean temperature is 5.3 degree Celsius

Step-by-step explanation:

5+4+4-1+4+10+9+8+6+4

= 53

So,

53/10

= 5.3

mark me brainliest plss :))

Answer:

y = 52

x = 5

Step-by-step explanation:

14 x + y = 122

y = 52

x = 5

Answer:

For #9 it can be 4,6, or 7

#10 is angle 3

#11 is 134

#12 is 49

Step-by-step explanation:

#9 just look at the picture given and see which one is opposite from it

#10 look at which one is beside it but that the ’half‘ circles are facing each other

#11 and #12 subtract the angles they give you and see if they are next to each other and if they are that subtract the number they give you by 180-the degrees of a line

Answer:

44%

0.44 is 44% of 1.

Answer:It is 5/8 of a pound heavier

Step-by-step explanation:

1 1/4 - 5/8=5/8

Answer:

The larger package is twice as heavy

Step-by-step explanation:

first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation: