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1 year ago

Determine the equation of the circle graphed below. (pt 3 of help fast)

Mathematics

1 answer:

dmitriy555 [2]1 year ago

8 0

<h2>Circular Equations</h2>

Circular equations are typically organized in the following format:

$(x-h)^2+(y-k)^2=r^2$

(h,k) is the center of the circle
<em>r</em> is the radius

<h2>Solving the Question</h2>

We're given:

The center of the circle: (-4,-7)
The radius: 2 units

Plug these given values into the formula:

$(x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4$

<h2>Answer</h2>

$(x+4)^2+(y+7)^2=4$

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The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr

IgorC [24]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the population mean.

As per given , we have

$H_0:\mu \leq4\\\\ H_a: \mu >4$

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given $\sigma=1$ , so we perform one-tailed z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation

n= sample size

$\overline{x}$ = Sample mean

For n= 18 , $\overline{x}=4.50$ , $\sigma=1$ , $\mu =4$ , we have

$z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12$

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0

2 years ago

What is the period of f : R→R, f(x) = tan(x 3)?

Ksivusya [100]

12X is the period of what is the period of f : R→R, f(x) = tan(x 3)?

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2 years ago

Which of the following would typically not be considered a financial emergency?

lawyer [7]

Buying a new outfit for prom.

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2 years ago

Read 2 more answers

Suppose your average, after taking 4 quizzes, is 71 (out of 100). what must your average be on the next 5 quizzes to increase yo

Anton [14]

Short answer: 98
Remark
when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them.
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284

Step Two
Create an equation that will give you the necessary point count to average 86.

284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz. You have to put together 9 such quizzes with a total count of 774.

Step three
Solve the equation.
284 + 5x = 774 Subtract 284 from both sides.
5x = 774 - 284
5x = 490 Divide by 5
x = 490/5
x = 98

You must get an average of 98 on the next 5 quizzes

Answer: 98 <<<<<

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2 years ago

Which property of equality should be used to cancel the operation performed on the variable in the following equation?

Grace [21]

Answer:

division

Step-by-step explanation:

2x/2=8/2=x=4

x=4

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1 year ago