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Dovator [93]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0
104-20=84 then square root it and u get 9.165 I think I did it right lol
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A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp
fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion \hat p

\hat p = \dfrac{x}{n}

\hat p = \dfrac{55}{100}

\hat p = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576

Then the margin of error E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}

E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}

E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}

E = 2.576 \times0.04975

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: \hat p - E

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0
3 years ago
A bag contains 4 red, 5 blue, and 3 black marbles. Find the probability that if you pick 3 marbles
Fofino [41]

Answer:

3/12 =1/6

Step-by-step explanation:

4+5+3=12

probability of picking 3 marbles is

3/12which in lowest term is 1/6

3 0
3 years ago
Help me with this please
Aleks04 [339]

Answer:

187.5 m^3

Step-by-step explanation:

2 to 5 is 2(2.5)

2.5^2 = 6.25

6.25(30) = 187.5

6 0
2 years ago
Select the correct answer.
Scilla [17]

Answer:

B. I think

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the mathematics Department of a college has 11 male professors 12 female professors 9 male teaching assistants and 12 female tea
Marta_Voda [28]

Answer:

P(teaching assistant or a female) = 1 - P(professor and male) = 1 - 11/44 = 1 - 0.25 = 0.75

Make a Contingency_table

7 0
3 years ago
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