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2 years ago

10

On a scale drawing, the scale factor is 1/12. A plum tree is 7 inches tall on the scale drawing. What is the actual height of th

e tree?
A.86
B.84
C.76
D.74

2 answers:

Sedbober [7]2 years ago

7 0

B. 84

The scale factor is 1/12 which means to get back to the actual height, you would multiply 7x12

velikii [3]2 years ago

5 0

Answer:

7x12= height of tree

Step-by-step explanation:

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Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? Question

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Answer: 4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.

So, if we subtract 5 from both sides:

4(x + 9) + 5-5 = 3x − 8 -5

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Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f

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Answer:

Step-by-step explanation:

From the given information:

the mean $(\mu) = 115 \times 20$

= 2300

Standard deviation = $20 \times \sqrt{115}$

Standard deviation (SD) = 214.4761

TO find:

a) $P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{1200}{214.4761})$

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From the Z-table, since 5.595 is > 3.999

$P(x > 3500)=1-0.9999$

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean $(\mu) = \dfrac{0+0.5}{2}$

= 0.25

Replacement time for the Standard deviation $\sigma = \dfrac{0.5-0}{\sqrt{12}}$

$\sigma = 0.1443$

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = $\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}$

= $\sqrt{(115\times 400) +(114\times 0.02082249}$

= $\sqrt{(46000) +2.37376386}$

= $\sqrt{(46000) +(2.37376386)}$

= $\sqrt{46002.374}$

= 214.482

Now; the required probability:

$P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})$

$P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})$

$P(x > 4125) = P(Z >8.376)$

$P(x > 4125) =1- P(Z$

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