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3 years ago

Isolate the variable on the following problem. show your work.11z= 4

Mathematics

2 answers:

azamat3 years ago

5 0

(1/11)(11z)= 4(1/11)
Z= 4/11 is the answer in fraction form

rjkz [21]3 years ago

4 0

Divide by 11 to make z by itself
z = 4/11

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Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

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3 years ago

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frez [133]

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3 years ago

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3 years ago

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Answer:

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Answer:

16/25

Step-by-step explanation:

We just have to find the probability that the 8 non-defects are chosen.

1. Chance first defect is undetected: 8/10 = <em>4/5</em>

2. Chance second defect is undetected: <em>4/5</em>

3. Total probability': 4/5 * 4/5 = 16/25

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3 years ago

Isolate the variable on the following problem. show your work.11z= 4​

Isolate the variable on the following problem. show your work.11z= 4