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Dmitry [639]
4 years ago
6

Solve the system using substitution and describe your steps x = y - 3 2x + y = 12

Mathematics
2 answers:
omeli [17]4 years ago
6 0

Answer:

2x + y = 12  = x + y = 6

Step-by-step explanation:

2x + y = 12

divide 2 by 12

x + y = 6  

this os all I really under stand lol sorry!

barxatty [35]4 years ago
4 0

Answer:

y=6 and x=3

Step-by-step explanation:

y-3= 6-3 gives you x=3

2x=2x3=6+y=6+6=12

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Step-by-step explanation:

44.01 speed *(2 hours)= 88.02miles

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tatiyna
A is for Alexis and F is for Francisco

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F = 2/3 + 1/2 + 1/3 = 1 and 1/2

1 1/6 < 1 1/2
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Lana71 [14]

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Step-by-step explanation:

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According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked a
Likurg_2 [28]

Answer:

1) 0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315

The point estimate for the proportion of college graduates among women who work at home is 0.327

2) 0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315

0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339

The 80% confidence interval is given by (0.315; 0.339)

Step-by-step explanation:

For this case we have the following info given:

X = 157 represent the women who worked at home who were college graduates

n = 480 the sample size selected

Part 1

In order to find the proportion of college graduates among women who work at home and we can use the following formula:

\hat p=\frac{X}{n} = \frac{157}{480}= 0.327

The point estimate for the proportion of college graduates among women who work at home is 0.327

Part 2

Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <

The confidence interval for the true proportion would be given by this formula

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

For the 80% confidence interval the value for the significance is\alpha=1-0.8=0.2 and \alpha/2=0.1, the critical value would be given by:

z_{\alpha/2}=0.539

And replacing we goot:

0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315

0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339

The 80% confidence interval is given by (0.315; 0.339)

6 0
3 years ago
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width
Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or  P = 2l + 2w

You know:

P = 150 m

l = w + 5     [length is 5 m greater than the width]

P = 2l + 2w        Plug in what you know

150 = 2(w + 5) + 2w     Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10     Subtract 10 to both sides of the equation

140 = 4w       Divide 4 on both sides

35 = w

PROOF               l = w + 5 --->  l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0
4 years ago
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