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3 years ago

Find the missing dimension. Use the scale factor 1: 15. Door Model Height 10 in Actual

Mathematics

1 answer:

anygoal [31]3 years ago

5 0

Answer:

The answer is "150 unit"

Step-by-step explanation:

scale factor = 1:15

height = 10

dimension =?

let dimension = x

$\Rightarrow \frac{10}{x} = \frac{1}{15} \\\\\Rightarrow 150 = x\\\\\Rightarrow x= 150 \ units$

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What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if

kenny6666 [7]

Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer

8 0

3 years ago

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0

3 years ago

In the game Yahtzee, players roll five dice. There are 13 rounds per game. In each round, each player can roll the dice up to th

Vinil7 [7]

Answer: 13

Step-by-step explanation: because I have the whole bookanswer duh

8 0

4 years ago

An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle

jekas [21]

Answer:

55° and 125°

Step-by-step explanation:

Formulate an equation x + (x+70) = 180

Combine like terms to get 2x + 70 = 180

Subtract 70 on both sides to get 2x = 110.

Divide both sides by 2 to get x = 55.

Add 70 to 55 to get 125.

Check your answer by adding 55 + 125. It equals 180, so the angles are equal to 55 and 125.

5 0

3 years ago

What is the value of z so that -9 and 9 are both solutions of x^2+z=103?

Ira Lisetskai [31]

The answer is C.
x^2 + z = 103x^2 + 22 = 103*Subtract both sides by 22*x^2 + 22 - 22 = 103 - 22x^2 = 81*square root both sides to find x*√x^2 = <span>√81</span>
<span>x = +- 9</span>

8 0

3 years ago