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mrs_skeptik [129]
3 years ago
11

I need step by step answers I don’t understand this

Mathematics
1 answer:
shtirl [24]3 years ago
5 0

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 (0, b)</em>

<em />

1.\ \text{Slope is}\ -2\to m=-2,\ \text{y-intercept is}\ -6\to b=-6\\\\\boxed{y=-2x-6}\\\\2.\ \text{Slope is}\ \dfrac{3}{7}\to m=\dfrac{3}{7},\ \text{y-intercept is}\ -1\to b=-1\\\\\boxed{y=\dfrac{3}{7}x-1}\\\\3.\ m=-8,\ b=11\\\\\boxed{y=-8x+11}\\\\4.\ m=0,\ b=-5\\\\\boxed{y=0x-5\to y=-5}\\\\5.\ m=-11,\ \text{y-intercept is}\ (0,\ 13)\to b=13\\\\\boxed{y=-11x+13}

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7 0
2 years ago
What is -9(20y) simplified?
cupoosta [38]
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4 0
3 years ago
A picnic basket is shaped like a rectangular prism. The height of the basket is 8 inches. The bottom of the basket has an area o
erica [24]

Answer:

1920 cubic inches

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Volume = Base Area × Height

= 240 × 8

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5 0
3 years ago
When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for
juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

3 0
3 years ago
Use compatible numbers to solve the problem 488 ÷ 62.A. 450 ÷ 50 = 9B. 434 ÷ 62 = 7C. 490 ÷ 70 = 7D. 480 ÷ 60 = 8
ipn [44]

Option D is correct. The required compatible number is 480 ÷ 60 = 8

Compatible numbers are numbers that have a close approximate to a given value

Given the expression  488 ÷ 62

The compatible number for 488 is 480

The compatible number for 62 is 60

Using these compatible numbers to solve the expression will give:

488 ÷ 62

= 480 ÷ 60

= 480/60

= 48/6

= 8

Hence the correct option will be 480 ÷ 60 = 8

Learn more here: brainly.com/question/22595072

8 0
3 years ago
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