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2 years ago

This is my last question please help me

Mathematics

1 answer:

anastassius [24]2 years ago

7 0

Answer:

Angle ADC = 80 degrees

Step-by-step explanation:

Here, we want to find the measure of angle ADC

mathematically, sum of angles at a point is 360

Thus;

x + 3x + x + 10 = 360

5x + 10 = 360

5x = 360-10

5x = 350

x = 350/5

x = 70

From the diagram;

angle ADC is (x + 10)

so we have; (70 + 10) = 80 degrees

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2 years ago

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Answer:

$N_c \approx 5.0$

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2 years ago

40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in

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Answer:

a) 56.67% probability that the student is a woman

b) 16.67% probability that the student received an A

c) 63.33% probability that the student is a woman or received an A.

d) 83.33% probability that the student did not receive an A.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have that:

30 students

13 men

17 women

2 men that got an A and 11 men that did not get an A.

3 women that got an A and 14 women that did not get an A.

a. Find the probability that the student is a woman.

30 students, of which 17 are women.

$P = \frac{17}{30} = 0.5667$

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30 students, of which 5 received an A

$P = \frac{5}{30} = 0.1667$

16.67% probability that the student received an A

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$P = \frac{19}{30} = 0.6333$

63.33% probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

30 students, of which 25 did not receive an A.

$P = \frac{25}{30} = 0.8333$

83.33% probability that the student did not receive an A.

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3 years ago