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OleMash [197]
2 years ago
7

Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

The equation in the slope-intercept form is:

y = (1/2)*x + 3

<h3>How to write the equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

a = \frac{4 - 3}{2 - 0} = 1/2

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

If you want to learn more about lines you can read:

brainly.com/question/1884491

#SPJ1

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4 0
3 years ago
Find an expression for the area of this shape ( plz show working out)
ankoles [38]

Answer:

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8 0
3 years ago
Consider independent simple random samples that are taken to test the difference between the means of two populations. The varia
Arturiano [62]

Answer:

d. t distribution with df = 80

Step-by-step explanation:

Assuming this problem:

Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:

a. t distribution with df = 82.

b. t distribution with df = 81.

c. t distribution with df = 41.

d. t distribution with df = 80

Solution to the problem

When we have two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

This last one is an unbiased estimator of the common variance \sigma^2

So on this case the degrees of freedom are given by:

df= 37+45-2=80

And the best answer is:

d. t distribution with df = 80

5 0
3 years ago
Alton had $725 for Medicare, $3000 for state income tax, and $3100 for
ella [17]

Answer:

\$6825

Step-by-step explanation:

Amount deducted for Medicare = $725

Amount deducted for state income tax = $3000

Amount deducted for Social security = $3100

To find: Total amount deducted from Alton's pay for FICA last year

Solution:

Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security   = 725+3000+3100

On adding 725 and 3000, we get 725+3000=3725

On adding 3725 and 3100, we get 3725+3100=6825

So, amount deducted = \$6825

7 0
3 years ago
Read 2 more answers
Find the value of t perimeter
Natali5045456 [20]

Answer:

<h2><em><u>t = 15.2 is the answer</u></em></h2>

Step-by-step explanation:

<h2><em><u>1. Make an equation</u></em></h2>

numbers to find perimeter = perimeter

Side + Side + 2 unknown sides = perimeter

12 + 7.8 + 2t = 50.2

<h2><em><u>2. Simplify like terms</u></em></h2>

19.8 + 2t = 50.2

<h2><em><u>3. Solve</u></em></h2>

19.8 + 2t = 50.2

-19.8        - 19.8

2t = 30.4

<h2><em><u>t = 15.2</u></em></h2>

<h2><u><em>4. Check:</em></u></h2>

12 + 7.8 + t + t = 50.2

12 + 7.8 + (15.2) + (15.2) = 50.2

<h2><em><u>50.2 = 50.2</u></em>   Correct!</h2><h2 />

Hope this helped,

Kavitha

7 0
3 years ago
Read 2 more answers
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