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JulsSmile [24]
3 years ago
12

Sergio bought 1 yard of yellow yarn. he used 21 inches of this yarn for a project. what part of the yarn that he bought did he u

se?
Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0
About 66 percent of the yarn
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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
2 years ago
Lolita deposited 500 in her savings account that earns 5% intrest compounded anually. She forgot about it until now, 15 years la
Sonja [21]

Answer:

P = 1039.5

Step-by-step explanation:

Given:-

- The initial amount deposited, Po = 500

- The interest rate applied, I = 5% compounded annually

Find:-

- The amount on her bank statement after 15 years?

Solution:-

- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.

The total amount left in her savings account would be given by the following formula:

                         P = Po * ( 1 + I/100 )^n

- Where, n = number of years passed since deposit. (15 years)

                        P = 500 * ( 1 + 5/100 )^15

                        P = 500 * (1.05)^15

                        P = 1039.5  

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3 years ago
Please Answer Quick Pleaseeeeee!! &lt;3 TYYYYYY SMMMM!!!<br> Im Almost Done After this question!!!
ohaa [14]

Answer: I think 2 4/39

Step-by-step explanation: not sure sorry if i get it wrong

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3 years ago
Measure the length of the top of your desk in centimeters.describe how you found the length
kobusy [5.1K]
Simply take a ruler with centimeters on it and measure your desk.Tell the teacher you counted how many centimeters.

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3 years ago
5 pounds of apples costs $7.45 . what is the dependent and the independent variables
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$7.45

+

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