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Zarrin [17]
3 years ago
5

Find the length x to the nearest whole number.

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

x = 557 to the nearest whole number

Step-by-step explanation:

The triangle is divided into two right triangles

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 29 = (x/2)/502

x/2 = 502 tan 29'

x/2 = 278.26

x = 278.26 * 2

x = 556.52

x = 557 to the nearest whole number

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The answer is: George made his first mistake in Step 1.

<h2>Why?</h2>

Getting a result of 26 cars needed means that he didn't take in consideration the next month in the mean calculation.

We have information of the number of sold cars of the first seven months, but if he wants to calculate the number of cards he needs to have a mean of 24 sold cards next months, he should take in consideration an extra month (the eighth month).

Checking the mistake:

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{7}=24\\x=26

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The correct answer would be:

\frac{18 + 22 + 26 +12 + 25 +20 + 19 + x }{8}=24\\x=50

He needed to include the eighth month in order to calculate how many cars he should sell next months in order to have a mean of 24 cars.

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The length of a rectangle is 4ft less than its width. The area of the rectangle is 60ft^2. Find the length and the width of the
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Answer: The length is 6 feet and the width is 10 feet.

Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.

We can now write an equation for the area of the rectangle as follows;

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If we rearrange all terms on one side of the equation, we now have

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Hence,

Either W + 6 = 0 and then W = -6

Or W - 10 = 0 and then W = 10

We know that the side of the rectangle cannot be a negative value, so we go with W = 10.

Having calculated W as 10, the length now becomes

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Question:  The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.

a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?

b. What is the probability that a randomly selected student does not own a car or computer?

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(b) 0.08

Step-by-step explanation:

(a)

Applying

Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1

Where A represent Car, B represent Computer.

From the question,

Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55

Substitute these values into equation 1

Pr(A or B) = 0.65+0.82-0.55

Pr(A or B) = 1.47-0.55

Pr(A or B) = 0.92.

Hence the probability that a student selected randomly owns a house or a car is 0.92

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Applying

Pr(A or B) = 1 – Pr(not-A and not-B)

Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2

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Substitute these value into equation 2

Pr(not-A and not-B) = 1-0.92

Pr(not-A and not-B) = 0.08

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