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KatRina [158]
3 years ago
14

A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenth

Mathematics
1 answer:
g100num [7]3 years ago
3 0
Well C=Dπ so C=17 x 3.14 = 53.38 which is rounded to 53.4
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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
Express your answer as a polynomial in standard form.
NikAS [45]

Answer:

x² + 16x + 64

Step-by-step explanation:

To find f(g(x)) , substitute x = g(x) into f(x), that is

f(x + 7)

= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL

= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms

= x² + 16x + 64

3 0
3 years ago
Read 2 more answers
The number 5/9 is an example of a
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Answer:

5/9 is an example of rational number.

Step-by-step explanation:

as the definition of rational number is the number in the form of p/q but the value of denominator q should not be equal to 0. Every integer is a rational number.

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Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

8 0
3 years ago
How do I multiply this mixed fraction?
valentinak56 [21]
Change the fraction into a decimal
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