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VikaD [51]
3 years ago
7

The domain and range

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

jjpiohojohijihihih

jjpiohojohijihihih

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(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0
Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

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

We know that

Maximum value of P(A\cup B)=1 and minimum value of P(A\cup B)=0

0\leq P(A\cup B )\leq 1

0\leq P(A)+P(B)-P(A\cap B)\leq 1

0\leq 0.4+0.7-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)

P(A\cap B)\leq 1.1

It is not possible that P(A\cap B) is equal to 1.1

1.1-P(A\cap B)\leq 1

-P(A\cap B)\leq 1-1.1=-0.1

Multiply by (-1) on both sides

P(A\cap B)\geq 0.1

Again, P(A\cup B)\geq P(B)

0.4+0.7-P(A\cap B)\geq 0.7

1.1-P(A\cap B)\geq 0.7

-P(A\cap B)\geq -1.1+0.7=-0.4

Multiply by (-1) on both sides

P(A\cap B)\leq 0.4

Hence, 0.1\leq P(A\cap B)\leq 0.4

3 0
3 years ago
A line passes through the point (-2, 7) and has a slope of -5.
Ludmilka [50]

Answer:

-7

Step-by-step explanation:

3 0
3 years ago
Which graph represents y=1/2x+2 <br><br> please help!!
wel

Answer:

B

Step-by-step explanation:

Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.

The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.

8 0
3 years ago
Given the conversion factor 12 in/ 1 ft, which has the larger volume?
dsp73

Answer:

A. Cube A

Given:

Cube A volume = 5832 in³

For Cube B dimension in inches:

  • 1.2 feet = 14.4 in
  • 1 feet = 12 in
  • 1 feet = 12 in

So Volume of Cube B:

L × B × H = 14.4 × 12 × 12 = 2073.6 in³

Cube A has a larger volume that Cube B.

5 0
2 years ago
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The length of a rectangular sign is 5 times its width . If the sign's perimeter is 36 inches, what is the signs area in square i
My name is Ann [436]

Answer:

9 inches

Step-by-step explanation:

3 0
3 years ago
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