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3 years ago

Simplify (x - y + 1) - (x + y - 1). -2y+2 2y - 2 -2x + 2y O2x - 2y + 2

Mathematics

2 answers:

Finger [1]3 years ago

7 0

Answer:

-2y +2

Step-by-step explanation:

(x - y + 1) - (x + y - 1)

Distribute the minus sign

(x - y + 1) - x - y + 1

Combine like terms

x-x -y-y +1+1

-2y +2

rusak2 [61]3 years ago

6 0

Answer:

2y+2

Step-by-step explanation:

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Yuki888 [10]

Dilation about the origin multiplies every coordinate by the scale factor.

C' = 4(-5, 2) = (-20, 8)

A' = 4(-4, 4) = (-16, 16)

T' = 4(-1, 2) = (-4, 8)

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3 years ago

Solve for W. What does W equal?

Nostrana [21]

Answer:

w=-11/6

Step-by-step explanation:

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2 years ago

Read 2 more answers

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

2 years ago

Help? Sorry if it’s pink

Vadim26 [7]

3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12

6 0

3 years ago

Part A: If (7^2)^x=1, what is the value of x?<br> Part B: If (7^0)^x=1, what is the value of x?

Fantom [35]

A.
(7^2)^x = 1
(49)^x = 1
thus x = 0

B.
<span>(7^0)^x=1
(1)^x = 1
thus x can be any real number.
</span>

4 0

2 years ago