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3 years ago

5. The point (-2, -3) is rotated 90 degrees counterclockwise using center (0, 0).

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

7 0

B. (−3, 2)

I think

so plz have a good rest of ur day

34kurt3 years ago

3 0

Answer C

Reflected across the y-axis changes the x- coordinate and the y- coordination remains the same

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A relief fund is set up to collect donations for the families affected by recent storms. A random sample of 400 people shows tha

AVprozaik [17]

Answer:

$(0.28-0.18) - 1.96 \sqrt{\frac{0.28(1-0.28)}{200} +\frac{0.18(1-0.18)}{200}}=0.0181$

$(0.28-0.18) - 1.96 \sqrt{\frac{0.28(1-0.28)}{200} +\frac{0.18(1-0.18)}{200}}=0.182$

And the 95% confidence interval would be given (0.0181;0.181).

We are confident at 95% that the difference between the two proportions is between $0.0181 \leq p_B -p_A \leq 0.182$

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".

Solution to the problem

$p_A$ represent the real population proportion for telephone

$\hat p_A =0.28$ represent the estimated proportion for telephone

$n_A=200$ is the sample size required for telephone

$p_B$ represent the real population proportion for mail

$\hat p_B =0.18$ represent the estimated proportion for mail

$n_B=200$ is the sample size required for mail

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

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

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.28-0.18) - 1.96 \sqrt{\frac{0.28(1-0.28)}{200} +\frac{0.18(1-0.18)}{200}}=0.0181$

$(0.28-0.18) - 1.96 \sqrt{\frac{0.28(1-0.28)}{200} +\frac{0.18(1-0.18)}{200}}=0.182$

And the 95% confidence interval would be given (0.0181;0.181).

We are confident at 95% that the difference between the two proportions is between $0.0181 \leq p_B -p_A \leq 0.182$

8 0

3 years ago

What is the range of y = sin θ ?

kap26 [50]

The range of a function is the set of all the possible function outputs. We know that sin theta varies between -1 and 1 if we draw a graph. According to the graph, the largest number that is an output of g is -1, and the smallest number is 1. Every number between them is also an output of g for some input. Therefore, the range of g is [-1,1].

5 0

3 years ago

Read 2 more answers

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!!!!!solve for x write both solutions. 2x^2+9x+9=0

slavikrds [6]

$2x^2+9x+9=0\\\\2x^2+6x+3x+9=0\\\\2x(x+3)+3(x+3)=0\\\\(x+3)(2x+3)=0\iff x+3=0\ \vee\ 2x+3=0\\\\x+3=0\ \ \ |-3\\x=-3\\\\2x+3=0\ \ \ |-3\\2x=-3\ \ \ |:2\\x=-1.5$

$Answer:\ \boxed{x=-3\ \vee\ x=-1.5}$

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3 years ago

The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the possible meas

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

so what you nedd otj fkhy is and the anwser is 799

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2 years ago

Is nuclear energy renewable? Detailed answer please.

Ray Of Light [21]

Answer:

Although nuclear is not renewable, it is clean energy

Step-by-step explanation:

Nuclear power is presently a sustainable energy source but could become completely renewable if the source of uranium changed from mined ore to seawater.

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2 years ago