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3 years ago

For the parallelogram, find the value of the variables. Show your work

1 answer:

6 0

The opposite sides on a parallelogram have equal side lengths. Assuming that your drawing is supposed to contain those expressions and values on opposite sides, 5x + 2 is opposite of 17, and 3y - 6 is opposite of 21, so we equate them:
5x + 2 = 17
x = 3
Similarly, 3y - 6 = 21
y = 9

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Step-by-step explanation:

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3 years ago

Roger went on a 3-day hike. He walked 5 3/4miles on the first day, 7 1/6miles on the second day and 4 7/8miles on the third day.

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Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

The question is incomplete:

"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

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3 years ago

3w - (7w + 12) = 2(w – 3) how do u do this step by step

exis [7]

3w-7w-12=2w-6

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4 years ago

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