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statuscvo [17]
3 years ago
7

Solve the proportion17/3 = y/6

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
To solve a proportion, you can either use cross products or basic multiplication.

To do cross products, you would multiply 17 (1st numerator) by 6 (2nd denominator). 

Do the same with the other diagonal angle, 3 times y.

You'll end up with 3y = 102.

To solve for y, you divide both sides by 3.

102 ÷ 3 = 34

y = 34

The other way you could solve this is to see that 6 is 2 times as large as 3, so you would multiply 17 by 2 to get an equal proportion.

3 × 2 = 6
17 × 2 = 34

Your final answer is y = 34. Hope this helps! :)
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The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that
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Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

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3 years ago
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The Sun hits a 30 foot flagpole at a 60° angle and casts an unobstructed 52 foot shadow. If a building is built 32 feet away, wh
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3 years ago
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Determine the solution, if any, to the system of equations below
meriva

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

3 0
2 years ago
Can you please explain how to do this so I can understand what to do for the other questions
tatyana61 [14]

Answer:

The circle length is 90*pi which should be 3.14

So the circle length is 282.6

The central angle is 90 degree which is 1/4 part of 360 degree

From the theory of arc, the arc length should also be 1/4 part of circle length.

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Step-by-step explanation:

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