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Flura [38]
2 years ago
13

An architect uses a scale of 3 4 inch to represent 1 foot on a blueprint for a building. If the east wall of the building is 24

feet long, how long (in inches) will the line be on the blueprint?
Mathematics
1 answer:
enot [183]2 years ago
7 0

Answer:

16 in.

Step-by-step explanation:

We have the ratio

How about let's make this easier.  Easier is better, right?  Let's get rid of the fraction 2/3.  We will do that by multiplying 2/3 by 3 and 1 by 3 to get the equivalent ratio of

Now we need to know how many inches there would be if the number of feet is 24:

Cross multiply to get

3x = 48 so

x = 16 in.

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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
2 years ago
You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situatio
Mars2501 [29]
Okay, I just know the answer not the range:

330 divided by 55 is 6. It would take 6 hours.
3 0
2 years ago
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Karen can paint a wall in 2.5 hours. Stephanie takes 1.25 hours to paint the same size wall. How many minutes will it take for K
Marysya12 [62]
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5 0
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During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate suppose a penny is dro
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the penny travels at a faster rate by 56.4 kilometers

penny = 153 for 30 min

penny = 306 for 1 hour

rocket = 208 in 50 min

208/5 = 41.6 *6 = 249.6 in 1 hour

penny is faster by 56.4 kilometers

6 0
2 years ago
Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = ___
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Answer:

(x + 4)2 = 19

4 and 19 is the answer.

6 0
2 years ago
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