3 years ago

Find the value for the side marked below.

Mathematics

1 answer:

KatRina [158]3 years ago

7 0

Answer:

167.7

Step-by-step explanation:

210cos(37)=167.7134571

just type it in a calculator

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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)

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3 years ago

HEO asap 8th grade math

Ierofanga [76]

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2 years ago

Read 2 more answers

What is 59.69 written in standard form?

White raven [17]

It would be written as:

50+9+0.60+0.09

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2 years ago

What is the vertex of the function f(x) = 2+3x+ 3/2

ad-work [718]

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

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3 years ago

Ms evans paycheck is $850 a week.If she works 49 hours per week, how muxh does she make an hour

Aneli [31]

She would make about 17.35 because $850 divided by 49 is 17.3469388 rounded is 17.35

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2 years ago