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1 year ago

Write a function rule for the table

Mathematics

1 answer:

Elza [17]1 year ago

5 0

The function rule for the table is y = 25/4 x

<h3>Equation of a linear function</h3>

The standard expression for a linear function is expressed as y =mx + b

where

m is the slope

b is the y-intercept

Using the coordinate points (4, 25.00) and (8, 50.0)

Determine the slope

Slope = 50-25/8-4

Slope = 25/4

Determine the y-intercept

50 = 25/4(8) + b

50 = 25(2) + b

50 = 50 + b

b = 0

Hence the function rule for the table is y = 25/4 x

Learn more on function and table here: brainly.com/question/17080205

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3 years ago

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

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Answer:

The 95% CI for the difference of means is:

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

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"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."</em>

Process 1:

- Sample size: 10

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- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

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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:

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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

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Answer:

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Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4, esmerelda is 5x+4, depend on the sum, we get:

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Answer:

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3 years ago

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