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Anna11 [10]
3 years ago
9

Use distributive property to clear parentheses-(3x-4y+5z)=

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer:

-3x + 4y -5z

Step-by-step explanation:

-3x -(-4y) -5z

-3x+4y-5z

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This should be right! $5,000 + $1,000x
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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}}

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\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

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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
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melisa1 [442]

Answer:

It moves horizontally 1/2 units to the left

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Step-by-step explanation:

∵ y = Acos(Bx - C) + D

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∴ It moves 1/2 units to the left

∵ The vertically shift is D

∴ It moves 2 units up

7 0
3 years ago
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