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9966 [12]
2 years ago
8

I really have no idea how do this so an explanation with an answer would be really helpful :)

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Answer:

So, BC = 5.6 cm

Step-by-step explanation:

Since its a right angled triangle,

taking 62 as reference angle,

cos62 = b/h

or, cos62 = AB/BC

or, cos62 = AB/12cm

or, cos62×12cm = BC

so, BC = 5.63

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The unit rate is 2.17
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What is 6 minus 4 over seven
aalyn [17]
5 3/7 .. do you need to show your work?
8 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
I need to understand the solution
vovangra [49]

Answer:

7/15 is your answer

Step-by-step explanation:

3 0
3 years ago
The perimeter of a rectangle is less than or equal to 50 inches. The length of the rectangle is 10 inches. What inequality repre
kupik [55]

Answer:

w ≤ 15

Step-by-step explanation:

A rectangle is shape with 4 sides where 2 pairs of sides are equal and form 4 perpendicular angles. 1 pair of sides is the width and is distance w. 1 pair of sides is the length and is 10 inches. The total distance around the shape is the perimeter. We know the perimeter is 50 inches or less. Add each side together and let it be less than or equal to 50. Then solve for w.

P ≥ l + l + w + w

50 ≥ 10 + 10 + w + w

50 ≥ 20 + 2w

30 ≥ 2w

15 ≥ w

4 0
3 years ago
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