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3 years ago

What is the equation of the line perpendicular to 2x + y = 0 that passes through the point (2, 2)?

1 answer:

8 0

2x + y = 0
y = -2x
slope = -2

Option C:
<span>y = 1/2x + 1
</span>Slope = 1/2 (perpendicular)

At (2,2), x = 2
y = 1/2(2) + 2 = 2

Answer C

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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

ryzh [129]

Answer:

The third option is correct.

The domain of the function is given by

$Domain = 0 \leq t \leq 40$

The range of the function is given by

$Range = 0 \leq V(t) \leq 200$

Step-by-step explanation:

Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.

V(t) is the value of the phone and t is the number of months.

The domain of the function is the possible values of the number of months t.

The domain of the function is given by

$Domain = 0 \leq t \leq 40$

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.

The range of the function is given by

$Range = 0 \leq V(t) \leq 200$

When the number of months is t = 0 then the value of the function is maximum V(t) = 200

When the number of months is t = 40 then the value of the function is minimum V(t) = 0

Therefore, the third option is correct.

6 0

3 years ago

Splitting the middle term 2x^2-9x+4

DiKsa [7]

(2x-1)(x-4)
Hereeeeeeeee

8 0

3 years ago

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.