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GREYUIT [131]
3 years ago
10

Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w

as the actual area of his room?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

  • 5 inches long (L)
  • 4 inches wide (W)

And we also know that:

<em>1 inch = 3 feet</em>

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

<em>A = L*W</em>

<em>A = 15 feet * 12 feet</em>

A = 180 square feet

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I don’t know how to do this
Jet001 [13]

Use proportions because we know that the triangles are similar.

\frac{20}{28}=\frac{5}{x}

Cross multiply.

20x=28×5

x=7

answer: 7

6 0
3 years ago
HELP PLEASE!!!<br><br> I need to find the radius, diameter, circumference, and the area of 10in
kotegsom [21]

Answer:

the radius is 10

the diameter is 20

the circumfrence is 62.8

the area is 314

Hope this helps.

5 0
3 years ago
Read 2 more answers
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

Z = \frac{X - \mu}{\sigma}

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
I'll mark brainliest thanks​
Alecsey [184]

Answer:

Transitive

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Plzzzzz help Me I'm not smart
MAVERICK [17]

Answer:

(3X8) - 4 + 2 - 12

Step-by-step explanation:

Following the order of operations solve:

(24) - 4 + 2 - 12

20 + 2 - 12

22 - 12

10

Don't feel bad, this is an odd question and the parenthesis do not seem to be required. Following the order of operations would result in the same answer anyway...

Odd.

3 0
3 years ago
Read 2 more answers
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