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andrezito [222]
3 years ago
7

The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

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An open rectangular box is 4 feet long and has a surface area of 20 square feet. Find the dimensions of the box for which the vo
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20=2H(4+W)+4(W)
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20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
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find max value
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V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1

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width=2ft
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Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

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The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }

0.8-1.96\sqrt{\frac{0.16}{550} }

0.8-1.96\sqrt{0.00029 }

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0.8-0.03343

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Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0
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