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Semenov [28]
3 years ago
6

Please please help me solve

Mathematics
2 answers:
mash [69]3 years ago
5 0
(2,4) is the only possible answer because it is the only one in the shaded area
lana [24]3 years ago
3 0
(2,4) is the only possible answer because it is the only one in the shaded area
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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0
3 years ago
Please help! *Math (10 pts)*
Allisa [31]

It's linear

If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)

The formula for linear functions is y=mx +b

In this case b is 7

M=7-5/0+1

M=2

Now you just write the function down, it would be

F(x) =2x + 7

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3 years ago
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Step-by-step explanation:

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allsm [11]

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1.1 isnt an option si believe the answer is 1. hope this helps.

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