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Dima020 [189]
3 years ago
15

DA is a diameter of circle C. What is the measure of arc BD?

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

130°

Step-by-step explanation:

1. to connect point A and B (green line);

2. the 1st row: to define measure of the angle ABD (90°);

3. the 2d row: to define measure of the angle BAD in the ΔABD (65°);

3. the 3d row: to calculate measure of the arc BD using the formula m(arc BD)=2*m(∠BAD).

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larisa [96]

Answer:

Its 4.57

Step-by-step explanation:

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How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?
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What is the missing side and what is the answer rounded to the nearest tenth?
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4 0
3 years ago
Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0
3 years ago
Read 2 more answers
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