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Anarel [89]
2 years ago
12

A scientist uses a camera to study the stars.

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

sure

Step-by-step explanation:

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 0.499, \sigma = 0.002

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.504 - 0.494}{0.002}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.496 - 0.494}{0.002}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0
3 years ago
Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now?
Amiraneli [1.4K]

Answer:

Sarah had 16 stickers. Al gave her 25 more. How many stickers does Sarah have now? 41

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
X + 5 = 75<br> Solve for the variable
IgorLugansk [536]

First, isolate the variable

X+0=75-5

X+0=70

X=70

Hope I helped!

Good Luck!


7 0
3 years ago
Read 2 more answers
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
alekssr [168]

Answer:

49

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he sti
Nadya [2.5K]

Answer:

180

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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