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Vera_Pavlovna [14]
3 years ago
13

Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

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Answer:

The point estimate of the population mean for the confidence interval of (15,32) is 23.5

Step-by-step explanation:

We are given the following information in the question:

Confidence interval for population mean is (15, 32).

We have to find the point estimate for population mean.

Formula:

\mu = \displaystyle\frac{\mu_1+\mu_2}{2} = \frac{15+32}{2} = 23.5

The point estimate of the population mean for the confidence interval of (15, 32) is 23.5

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9. Which of the following tables best represents the relationship between 7 points
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Answer:345

Step-by-step explanation:r

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Over the course of a lifetime about how much more does a college graduate earn than someone who does not have a college degree
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How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be
SCORPION-xisa [38]
<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

Now, the number of combinations to select 6 letters from 9 letters will be :-

C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row :n!

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

9!=362880

If GOR comes together, then we consider it as one letter,  then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

7!=5040

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3 years ago
6. Find the perimeter of the figure below
liraira [26]

Answer:

26 in.

Step-by-step explanation:

» <u>Concepts</u>

The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.

» <u>Solution</u>

Adding up all the sides, we get:

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26 inches

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