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Pavel [41]
2 years ago
15

Write the standard form of the equation of the circle with center (−7,10) that passes through the point (−7,7)

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

(x+7)^2+(y-10)^2=9

Step-by-step explanation:

The distance between the two points is sqrt((-7+7)^2+(10-7)^2)=3 which is in turn the radius of the circle

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A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta
notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

\mathbf{ H_o: \mu  \geq  7.8}

\mathbf{ H_1: \mu  <  7.8}

The test statistics can be computed as :

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}

z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}

z = - 5.4772

The p-value at  0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if  p value is less than 0.05

Conclusion:

At  the 0.05 significance level,  there is sufficient information to reject the null hypothesis. Therefore ,we  conclude that college students watch fewer movies a month than high school students.

8 0
3 years ago
What is the value of x?<br> 3<br> 4<br> 6<br> 8
alexgriva [62]
Opposite sides of a rectangle are congruent
10 + 2x = 18
2x = 18 - 10
2x = 8
x = 8/2
x = 4
8 0
3 years ago
Read 2 more answers
Carly is constructing the inscribed circle for △MNP . She has already used her compass and straightedge to complete the part of
JulijaS [17]
Place the point of the compass on point J and draw an arc in the interior of the triangle.
6 0
3 years ago
Read 2 more answers
NEED HELP FAST‼️‼️
ch4aika [34]

Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

4 0
3 years ago
I don’t know how you do 17.1 divided by 0.9.
andreyandreev [35.5K]
The answer is 19


work :

1-multiply the numbers by a submultiple of 10 to remove the decimal points.
17.1 \times 10 = 171 \\  \\ 0.9 \times 10 = 9

2-

now do the division :
171 \div 9 = 19

so the answer is 19



note: there is no need to get it back to decimal number unless you multiply just one of the numbers or multiply the numbers with different submultiples of 10



good luck
7 0
3 years ago
Read 2 more answers
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