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Natali [406]
3 years ago
11

HELP ASAP (1O BRAILY/POINTS FOR ANSWER)

Mathematics
2 answers:
marishachu [46]3 years ago
8 0

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

shutvik [7]3 years ago
5 0

Step-by-step explanation:

x + y = 3 ---------------- eqn 1

y = -6x + 3 ------------- eqn 2

Substitute y for -6x + 3 in equation 1

x + -6x + 3 = 3

x - 6x + 3 = 3

-5x + 3 = 3

Collect like terms

-5x = 3 - 3

-5x = 0

Divide both sides by -5

x = 0

Hope this helped!

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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
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Step-by-step explanation:

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hope it helpful ❤❤❤

THANK YOU

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