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2 years ago

Find an equation in slope intercept form of a line having slope 6 and y-intercept 2

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

4 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 6</em>, and the y-intercept <em>b = 2</em>.

Substitute:

$y=6x+2$

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What is 649,284,143 rounded to the nearest hundred million

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The answer is 600,000,000

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3 years ago

3. In the figure, c || d. What are the measures<br> of 1 and 2

dem82 [27]

Answer:

1: 105 degrees

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Step-by-step explanation:

2 is a corresponding angle with 75.

1 is supplementary so x+75 = 180

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3 years ago

What is the value of a + bc when a = 7, b = 4, and c =8

Bess [88]

Answer:

answer is 39

Step-by-step explanation:

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2 years ago

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

Julli [10]

Answer:

$0.071,1.928$

Step-by-step explanation:

Downtown Store North Mall Store

Sample size n 25 20

Sample mean $\bar{x}$ $9 $8

Sample standard deviation s $2 $1

$n_1=25\\n_2=20$

$\bar{x_1}=9\\ \bar{x_2}=8$

$s_1=2\\s_2=1$

$x_1-x_2=9-8=1$

Standard error of difference of means = $\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

Standard error of difference of means = $\sqrt{\frac{2^2}{25}+\frac{1^2}{20}}$

Standard error of difference of means = $0.458$

Degree of freedom = $\frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}$

Degree of freedom = $\frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}$

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = $(x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)$

Confidence interval = $1-(2.0280)\times 0.458,1+(2.0280)\times 0.458$

Confidence interval = $0.071,1.928$

Hence Option A is true

Confidence interval is $0.071,1.928$

4 0

2 years ago

Sue initially has 5 hours of pop music and 4 hours of classical music in her collection. Every month onwards, the hours of pop m

Snezhnost [94]

<h2>Answer</h2>

f(x) = 5(1.25)x + 4

<h2>Explanation</h2>

To solve this, we are going to use the standard exponential equation:

$f(x)=a(1+b)^x$

where

$a$ is the initial amount

$b$ is the growth rate in decimal form

$x$ is the time (in months for our case)

Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so $a=5$ ; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so $b=\frac{25}{100} =0.25$ . Now let's replace the values in our function:

$f(x)=a(1+b)^x$

$f(x)=5(1+0.25)^x$

$f(x)=5(1.25)^x$

Now we can add the hours of classical music to complete our function:

$f(x)=5(1.25)^x+5$

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3 years ago

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