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dimaraw [331]
3 years ago
11

Which statement implies that A and B are independent events?

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

P(A \cap B) = P(A)P(B)

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

P(A \cap B) = P(A)P(B)

In this question:

The statement is P(A \cap B) = P(A)P(B)

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Need help solving this problem down below.​
Veronika [31]

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

3 0
3 years ago
Please help me worth a lot of points! Worth 50 points ! Use your own answer and explain it to me thank you !
Vilka [71]
The equation of the best fit line is
y = 0.1073x + 4.5365

where
x is the number of leg press reps
y is the time it takes to do a 40 yard dash

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y = 0.1073(22) + 4.5365
y = 6.8963 s
5 0
4 years ago
Which type of construction is used to construct a triangle's point of balance
aniked [119]
Um do you ave any answer choices ? i would say <span>Pythagorean theorem.
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3 0
4 years ago
Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i
Lady_Fox [76]
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
7 0
4 years ago
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
photoshop1234 [79]

Answer:

volume = 33.5 in³

Step-by-step explanation:

<u>Formula</u>:

\sf volume \ of \ a \ cone=\dfrac13\pi r^2h

<u>Given</u>:

  • r = 2 in
  • h = 8 in
  • π = 3.14

Substituting the given values into the formula:

\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8

                  =\dfrac13 \times 3.14 \times 4 \times 8

                  \sf =33.49333333...

                  \sf =33.5 \ in^3 \ (nearest \ tenth)

3 0
2 years ago
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