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creativ13 [48]
3 years ago
14

A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women ex

ercise in the morning. Are being married and exercising in the morning independent?
A) Yes. P(married | exercise in the morning) = P(exercise in the morning | married) = 75%
B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%
C) No. P(married and exercise in the morning) = 60% & P(married)·P(exercise in the morning) = 42%
D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%
Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0

Answer:

D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Step-by-step explanation:

Alexus [3.1K]3 years ago
4 0
Given:
Women only gym:
60% married women
75% of the married women exercise in the morning
30% of the single women exercise in the morning

60% married women + 40% single women = total women members

60% married
75% exercise in the morning
25% exercise in the afternoon or evening

40% single
30% exercise in the morning
70% exercise in the afternoon or evening

Exercise in the morning
married: 60% x 75% = 45%
single: 40% x 30% = 12%
<span>
B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45% </span>


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Find the volume of a right circular cone that has a height of 2.7 ft and a base with a diameter of 14.4 ft. Round your answer to
irina1246 [14]

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V≈146.57ft^3

Step-by-step explanation:

V=πr^2·h/3  since d is 14.4, we would divide it by 2 to find the radius which is 7.2

so V= π(7.2)^2· (2.7)/3

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3 years ago
1 question 60 points need help now
kkurt [141]

Answer:

The answer to your question is  x = 0 and x = 1

Step-by-step explanation:

Equation

                       \frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1

1)

                      \frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1

Expand

2)                  x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3)                  2x² -2x + 2 = -1(x² + x - 2x - 2)

4)                  2x² - 2x + 2 = -x² + x + 2

Equal to zero

5)                  2x² - 2x + 2 + x² - x - 2 = 0

6)                  3x² - 3x = 0

Factor

7)                  3x(x - 1) = 0

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4 0
4 years ago
Solve by elimination:
Pie

Answer:

B (5, 13)

Step-by-step explanation:

9x + 4y = 97

9x + 6y = 123

To solve by elimination, we want to <em>eliminate</em> a variable. To do this, we must make one variable cancel out.

First, we can see that both equations have 9x. To cancel out x, we must make <em>one</em> of the 9x's <em>negative</em>. To do this, multiply <em>each term</em> in the equation by -1.

-1(9x + 6y = 123)

-9x - 6y = -123

This is one of your equations. Set it up with your other given equation.

9x + 4y = 97

-9x - 6y = -123

Imagine this is one equation. Since every term is negative, you will be subtracting each term.

9x + 4y = 97

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___________

0x -2y = -26

-2y = -26

To isolate y further, divide both sides by -2.

y = 13

Now, to find x, plug y back into one of the original equations.

9x + 4(13) = 97

Multiply.

9x + 52 = 97

Subtract.

9x = 45

Divide.

x = 5

Check your answer by plugging both variables into the equation you have not used yet.

-9(5) - 6(13) = -123

-45 - 78 = -123

-123 = -123

Your answer is correct!

(5, 13)

Hope this helps!

6 0
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