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Oksi-84 [34.3K]
2 years ago
15

What is the vertex?? Please answer QUICK!

Mathematics
1 answer:
astra-53 [7]2 years ago
5 0

Answer:

D

Step-by-step explanation:

To obtain vertex form from the given equation use the method of completing the square

given 8y + x² = - y² - 181 + 26x

rearrange having the x terms and y terms together

add y² to both sides

8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )

x² - 26x + y² + 8y = - 181

add (half the coefficient of the x/y terms )² to both sides

x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16

completing the square on both the x and y terms

(x - 13)² + (y + 4)² = 4 → D


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Step-by-step explanation:

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Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the tr
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The probability that the sample proportion will be less than 0.04 is <u>0.0188 or 1.88%</u>.

The true proportion given to us (p) = 0.07.

The sample size is given to us (n) = 313.

The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.

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Using normal distribution, this can be shown as:

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