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Alona [7]
3 years ago
7

Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form

Mathematics
2 answers:
Aliun [14]3 years ago
4 0
B. it is (x-5)^2+y^2=9
Len [333]3 years ago
3 0

Answer

B)(x-5)^{2} + y^{2} = 9


Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

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

Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

(x- 5)^{2} + y^{2} = 9

Therefore, the answer is B) (x-5)^{2}  + y^{2} = 9

Thank you :)

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The output from a statistical computer program indicates that the mean and standard deviation of a data set consisting of 200 me
lesya [120]

Answer:

The limit that 97.5% of the data points will be above is $912.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

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This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.

So

Z = \frac{X - \mu}{\sigma}

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The limit that 97.5% of the data points will be above is $912.

6 0
3 years ago
1. a). A recipe uses 600 mL of flour for every 150mL of sugar. How much flour would be needed
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Answer:

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