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Romashka-Z-Leto [24]
3 years ago
11

A scale model of a building has a height of 18 inches and a length of 14 inches.

Mathematics
2 answers:
miss Akunina [59]3 years ago
7 0
The answer is 280. 
[18/14 and 360/x use cross products.
pogonyaev3 years ago
4 0
The scale is times 20, because 360 divided by 18 equals 20, 20 times 14 = 280 when put to scale.

Your answer would be 280!
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OPTION A is the correct answer.

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3 years ago
1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method
solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\rm y  = \dfrac{-3}{2} (x)\\\\y = -1.5x

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\rm y = \dfrac{2}{3} x + c

Then this line also passes through a point (2, -3). Then the value of c will be

\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \  = -13

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

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8 0
2 years ago
Twenty students are members of the school debate team. Five
harkovskaia [24]

Answer:

75%

Step-by-step explanation:

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2 years ago
A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

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

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

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

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

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4 years ago
Can you help me please?
Artist 52 [7]

Answer:

Step-by-step explanation:

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3 years ago
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