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Strike441 [17]
3 years ago
7

Three boxes are stacked one on top of the other. One box is

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
First, convert all measurements to inches. 

Box 1:
3ft(12in)=36in+6in=42in

Box 2:
4ft(12in)=48in+10in=58in

Box 3:
4ft(12in)=48in+5in=53in

Now, add the heights together.

42in+58in+53in=153in

Finally, convert added height to feet.

153in/12in=12 with a remainder of 9, so your final answer is 12ft 9in
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arsen [322]

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Step-by-step explanation:

⇒ 1^s^t statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

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In this case we have:  \mu=5\ ft\sigma=0.4\ ft

We have four different values of X and we must calculate the Z-score for each

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⇒2^n^d statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

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Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1

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⇒3^r^d statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒4^t^h statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

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