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taurus [48]
3 years ago
8

Plz help Fast!!!!! Which is faster 15 feet per second or 12 miles per hour

Mathematics
2 answers:
serg [7]3 years ago
8 0
12 miles per hour is faster because 12 miles in one hour equals to 63,360 feet. If you multiply the amount of minutes in an hour to 15 you get to 54,000 feet so 15 feet per second in one hour would equal 54,000 feet making 12 miles per hour faster
Misha Larkins [42]3 years ago
3 0
I think 15 feet per second
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The angle of depression from the top of a cliff to an ant on the ground is 35 degrees. If the ant is 280 ft from the base of the
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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
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