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malfutka [58]
1 year ago
8

3. Consider the following information.P(Z) = 0.73P(A) = 0.25P(Z and A) = 0.15Part A: Determine P(Z|A).Part B: Determine P(AZ).I

Mathematics
1 answer:
krok68 [10]1 year ago
4 0

Ok, so:

For Part A, we have: P(Z|A)=P(Z and A)/P(A)

And if we replace, we got:

P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.

For Part B, we have: P(A|Z)=P(Z and A)/P(Z)

P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.

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1. Which property is illustrated by the statement?(statement below)
bearhunter [10]

1. 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.

2. 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.

<h3>What is the Commutative Property of Multiplication?</h3>

The commutative property of multiplication states that the arrangement of change of numbers that you want to multiply does not change what you would get as the product.

For example, a × b = b × a.

In the same vein, 8(-5/6) = (-5/6)8 illustrates the commutative property of multiplication.

<h3>What is the Commutative Property of Addition?</h3>

The commutative property of addition also states that the order or arrangement of addends will not change the sum you would get.

For example, 3 + 2 = 2 + 3.

Therefore, the statement, 5.4 + 3 = 3 + 5.4 illustrates the commutative property of addition.

Learn more about the commutative property on:

brainly.com/question/2475734

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7 0
1 year ago
The Bengals begin with a possession on their own 27-yard line. Four plays result in the following: gain of 6, loss of 12, a gain
WARRIOR [948]

Answer:

The final position of the ball is on the 16 yard line.

Step-by-step explanation:

The final position of the ball after the fourth play is given by the initial position, in this case the 27-yard line, followed by a succession of sums and subtractions depending on the outcome of each play. For gains we sum and for losses we subtract. So we have:

final position = 27 + 6 - 12 + 2 -7

final position = 27 - 11

final position = 16

The final position of the ball is on the 16 yard line.

7 0
3 years ago
Write a quadratic function that has been translated 1<br> units to the right and 3 units down.
vodka [1.7K]

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

6 0
3 years ago
rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter a
kifflom [539]

Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

X=9

Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

Perimeter: 2(3x+6)+ 2(2x-4)

94=2(3x+6)+ 2(2x-4)

94= 6x+12+4x-8

94=10x+4

94-4=10x

x=90/10

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So the value of x would be 9.

6 0
2 years ago
Hey! please help i’ll give brainliest!
mixer [17]

the answer is B

hope this helps :)

7 0
2 years ago
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