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STatiana [176]
4 years ago
5

If the average(arithmetic mean) of 5 and r is 7 and the average of 3 and s is 3 , what is the average of r and s?

Mathematics
1 answer:
Norma-Jean [14]4 years ago
5 0

Answer:

C

Step-by-step explanation:

Calculate the values of both r and s, that is

\frac{5+r}{2} = 7 ( multiply both sides by 2 )

5 + r = 14 ( subtract 5 from both sides )

r = 9

and

\frac{3+s}{2} = 3 ( multiply both sides by 2 )

3 + s = 6 ( subtract 3 from both sides )

s = 3

Hence

\frac{9+3}{2} = \frac{12}{2} = 6 → C

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What is the standard form that has a center (1,3) and a radius of 9
klasskru [66]

\huge\boxed{(x-1)^2+(y-3)^2=9^2}

Start with the standard form of a circle, where (h,k) is the center of the circle and r is the radius.

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

Plug in the known values.

\boxed{(x-1)^2+(y-3)^2=9^2}

This is the circle's equation in standard form.

4 0
3 years ago
In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.
Aliun [14]

Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.

<h3>What is the Secant-Tangent Theorem?</h3>

Considering the image given, the secant-tangent theorem states that:

DC² = (BC)(BA)

Given the following:

  • BC = 17
  • DC = 30

Substitute the values into the equation

30² = (17)(BA)

900/17 = BA

BA ≈ 52.9

Length of the diameter, BA is: A. 52.9

Learn more about the secant-tangent theorem on:

brainly.com/question/10732273

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8 0
2 years ago
F(x) = (x-3) (x+8) (x-11) <br> What are the zeros of the polynomial?
aalyn [17]
<span>hello :
</span>F(x) = (x-3) (x+8) (x-11)
F(x) =0
<span>x-3= 0 or x+8=0 or x-11 = 0
x=3 or x=-8 or x=11
</span><span>the zeros of the polynomialare : 3   , -8   , 11 </span><span>
</span>
6 0
3 years ago
What is the slope of the line passing through the points (-3,4) and (4,-1)
Serhud [2]

Answer:

slope = - \frac{5}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)

m = \frac{-1-4}{4+3} = - \frac{5}{7}

8 0
3 years ago
Hypothesis testing on samples with fewer than 30 participants can be carried out by using the t-value for the corresponding leve
Eva8 [605]

Answer: true

Step-by-step explanation:

Z-tests are statistical calculations that can be used to compare the population mean to a sample mean The z-score is used to tellsbhow far in standard deviations a data point is from the mean of the data set. z-test compares a sample to a defined population and is typically used for dealing with problems relating to large samples (n > 30). Z-tests can also be used to test a hypothesis. Z-test is most useful when the standard deviation is known.

Like z-tests, t-tests are used to test a hypothesis, but a t-test asks whether a difference between the means of two groups is not likely to have occurred because of random chance. Usually, t-tests are used when dealing with problems with a small sample size (n < 30).

Both tests (z-tests and t-tests) are used in data with normal distribution (a sample data or population data that is evenly distributed around the mean).

3 0
4 years ago
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