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leva [86]
3 years ago
12

I need to know the answers to 10-27!!!! Plz label each number

Mathematics
1 answer:
Virty [35]3 years ago
3 0
10) 46
11) 115
12) 23
13) 161
14) 92
15) 138

16) 0.368
17) 9
18) 765
19) 336
20) 122.1
21) 0.45

22) 52
23)$33.60
24) 1 hour 12 minutes
25) 95
26) 398.24
27) A)
           Test        Number Correct       Score       Total
           Math                68                  ( 80% )          85
           Science         ( 63 )                  90%            70

      B) Science
      C) 48 Questions
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Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How
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The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard
ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that \mu = 3, \sigma = 0.04

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

Z = \frac{2.96 - 3}{0.04}

Z = -1

Z = -1 has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

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2 years ago
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