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n200080 [17]
3 years ago
12

A private plane is traveling due east at a rate of 160 mph. A south wind is blowing 30 mph. What is the actual velocity of the p

lane?
A. ≈ 157 mph
B. ≈ 190 mph
C. ≈ 130 mph
D. ≈ 163 mph

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

The resultant velocity of the plane is the sum of the two velocity vectors which are perpendicular to each other. See the attached figure.

The magnitude of the resultant velocity is

\sqrt{160^2+30^2}= \sqrt{26500}=162.79 \;mph.

The approximate value of the actual velocity of the plane is 163 \;mph. Correct choice is (D).

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meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

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