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solmaris [256]
3 years ago
8

The base of a parallelogram is 21 yards. Find the height if the area of the parallelogram is 525 square

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

Answer:

25 yards

Step-by-step explanation:

A parallelogram is a quadrilateral (a four sided object) with parallel sides

Some of the characteristics of a parallelogram includes :

  1. Opposite sides  and angles are congruent .
  2. Opposite angels are congruent (D = B).
  3. Consecutive angles are supplementary (A + D = 180°).  
  4. The diagonals bisect each other

Area of a parallelogram = base x height

Area = 525

base = 21 yards

height = ?

525 = 21 x height

divide both sides of the equation by 21 to find the value of the height

525 / 21 = height

height = 25 yards

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Answer:

a) 0.3270 = 32.70% probability that Christine fails the course

b) 0.3917 = 39.17% probability that she had found someone to help

Step-by-step explanation:

We have these following probabilities:

61% probability that Christine find a coach.

100 - 61 = 39% probability that Christine does not find a coach.

With a coach, a 21% probability of failing.

Without a coach, a 51% probability of failing.

a. What is the probability that Christine fails the course?

21% of 61%(finds a tutor) plus 51% of 39%(does not find a tutor). So

P = 0.21*0.61 + 0.51*0.39 = 0.327.

0.327 = 32.7% probability that Christine fails the course

b. Christine ends up failing the course. What is the probability that she had found someone to help?

This can be formulated by the Bayes formula:

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening given that A happened and P(A|B) is the probability of A happening given that B happened.

In this question.

P(B|A) is the probability of finding a tutor given that she failed.

P(B) is the probability of finding a tutor. So P(B) = 0.61.

P(A|B) is the probability of failing when finding a tutor. So P(A|B) = 0.21

P(A) is the probability of failing. So P(A) = 0.327.

So

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.61*0.21}{0.327} = 0.3917

0.3917 = 39.17% probability that she had found someone to help

4 0
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7. If the perimeter of a square is 14g +28 inches, what is the length, in inches, of each side of
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Answer:

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Step-by-step explanation:

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P(North)=\frac{3C2\times5C0}{8C2}=0.107
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