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3 years ago

Which expression is equivalent?

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

Distribute the -9 into the values in the parentheses.

$-9(-2x-3)$

$-9*-2x=18x$

$-9*-3=27$

Therefore, the equation then becomes: $18x+27$ .

<u>The answer is the first choice, or A.</u>

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30% of Americans will fall asleep before midnight. For every 500 Americans, about how many will be sleeping before the New Year?

Zolol [24]

Answer: 150

Step-by-step explanation:

30% = 0.3

100-30=70

70% = 0.7

0.7 X 500 = 350

500-350 = 150

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3 years ago

Read 2 more answers

Are 1/2 and 12/24 and 13/26 equivalent?

vesna_86 [32]

Yes because 12 is a half of 24 and 13 is a half of 26 which all equal to 1/2 . So the answer is YES

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3 years ago

A portion of John Locke's time card is shown below. How many hours did he work for the week?

Paraphin [41]

Answer:

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40

3 0

2 years ago

Please answer with clear instructions so that i can apply this to other questions

marishachu [46]

Answer:

1 and - 1

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope ( gradient ) )

y = x ← is in this form

with gradient m = 1

Parallel lines have equal gradients

Then the gradients of lines parallel to the given line is 1

Given a line with gradient m then the gradient of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{1}$ = - 1

Then the gradients of lines perpendicular to this line is - 1

4 0

2 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