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yarga [219]
2 years ago
14

ASAP PLEASE!!!! What is an equation for the line with slope 2/3 and y-intercept 9?

Mathematics
2 answers:
Ainat [17]2 years ago
7 0
Y=2/3x+9 the answer is C
Sergio [31]2 years ago
4 0

Answer:

\mathrm{C.\:}y=\frac{2}{3}x+9

Step-by-step explanation:

In slope-intercept form, the equation of a line is y=mx+b where m is the slope and b is the y-intercept. Plugging in given values, the equation of the is \fbox{$y=\frac{2}{3}x+9$}.

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Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Sauron [17]

Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = \frac{1}{2} × 48 × 10 = 24 × 10 = 240 units²

8 0
2 years ago
Read 2 more answers
A simple random sample of size n=250 individuals who are currently employed is
Likurg_2 [28]

Answer:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

Step-by-step explanation:

For this case we can estimate the population proportion of people that they did work at home at least once per  week with this formula:

\hat p = \frac{X}{n}= \frac{26}{250}= 0.104

We need to find the critical value using the normal standard distribution the z distribution. Since our condifence interval is at 99%, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

3 0
2 years ago
Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2 ​
jek_recluse [69]

Answer:

y=mx+b

-2(10)+b=-9

b=11

y=-2x+11

5 0
3 years ago
Which Natural Numbers are not Integers?
Genrish500 [490]

Answer:

Step-by-step explanation:

fraction are not integers

6 0
2 years ago
Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?
Tatiana [17]

Answer:

y - y1 = m(x - x1)

y - -3 = 3(x - 1)

y + 3 = 3x - 3

     y = 3x - 3 - 3

     y = 3x - 6

     y = 3x - 6

Step-by-step explanation:

Thie equation is in slope-intercept form (y = mx + b)

The y-intercept is -6 .... ((0, -6) is one point on the line.

It is given that (1, -3) is also on the line. So to graph, plot those

2 points and connect them with a line.

7 0
3 years ago
Read 2 more answers
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