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MrMuchimi
3 years ago
12

Unit 10 quiz 10-2 need help/ answers.

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Find the length of arc JL if the radius = 30 cm to the nearest hundredth.
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Answer:

4.13

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Anyone know this I’m stuck?
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Step-by-step explanation:

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3 years ago
Read 2 more answers
2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num
Aleksandr-060686 [28]

Answer:

  • 10 dimes and 4 quarters

Step-by-step explanation:

  • Number of dimes = d, each d = 10 c
  • Number of quarters = q, each q = 25 c
  • Total = $2 = 200 c

<u>Equations according the given:</u>

  • 10d + 25q = 200
  • d = q + 6

<u>Solve for q by substitution:</u>

  • 10(q + 6) + 25q = 200
  • 10q + 60 + 25q = 200
  • 35q = 140
  • q = 140/35
  • q = 4

<u>Find the value of d:</u>

  • d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0
3 years ago
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