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3 years ago

Can someone help me!!!!!!!

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

32. 0.19 meters 33. 7.5 links 34. 15000000000 35. 38 yards

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A number is divided by 6.then 8 is added Mto the quotient. Next3 is subtracted from the sum.the result is 7. What is the number?

hjlf

(n/6 + 8) - 3 = 7

(n/6 + 8) - 3 + 3 = 7 + 3

n/6 + 8 - 8 = 10 - 8

n/6 = 2

(n/6)(6) = 2(6)

n = 12

6 0

2 years ago

A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that $\sigma = 16$

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

$M = z\frac{\sigma}{\sqrt{n}}$

$3 = 2.575\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 2.575*16$

$\sqrt{n} = \frac{2.575*16}{3}$

$(\sqrt{n})^2 = (\frac{2.575*16}{3})^2$

$n = 188.6$

Rounding up:

189 components must be sampled.

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3 years ago

Which two fractions have a sum of - 7/24

Feliz [49]

The two fractions that added together give you a sum of -7/24 are 1/24+-8/24= -7/24

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3 years ago

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4vir4ik [10]

The answer is 8, hope this helps :)

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3 years ago