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Katarina [22]
3 years ago
5

What’s is the vertex y=x^2-2x+26

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0

Answer:

(1, 25)

Step-by-step explanation:

Convert to vertex form so that the equation is (x - 1)^2 + 25

If 1 is <em>h </em>and 25 is <em>k</em>, (<em>h, k</em>), the result would be (1, 25)

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To get the volume of a ___, multiply 4/3 by pi and then by the cube of radius
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Answer:

To get the volume of a <u>SPHERE</u>, multiply 4/3 by pi and then by the cube of radius.

Step-by-step explanation:

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The length of a rectangle is 2 inches more than 4 times the width. The perimeter is 64 inches. Find the length and the width.
pashok25 [27]
<span>The width is 6 inches and the length is 26 inches.

Explanation:
L=4w+2, since the length is 2 more than 4 times the width.

The perimeter is given by P=2L+2w; using our equation for L, we have
P=2(4w+2)+2w.

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64=10w+4.

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3 years ago
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Solve for xx. Round to the nearest tenth, if necessary.
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2 years ago
Exercise 12.1.2: The probability of an event under the uniform distribution - random permutations. About A class with n kids lin
Nataly [62]

Answer:

a) P_a=\frac{1}{n}

b) P_b=\frac{1}{n(1-n)}

c) P_c=\frac{2}{n}

Step-by-step explanation:

The question is incomplete:

<em>(a) What is the probability that Celia is first in line? (b) What is the probability that Celia is first in line and Felicity is last in line? (c) What is the probability that Celia and Felicity are next to each other in the line?</em>

a) The probability that Celia is first in line, if there are n kids and all of them have the same chance, is 1/n.

P_a=\frac{1}{n}

b) The probability that Celia is first in line and Felicity is last in line is

P_b=\frac{1}{n} \frac{1}{n-1} =\frac{1}{n(1-n)}.

It is deducted like that:

If Celia is placed in the first line (what has a probablity of 1/n), there are left (n-1) kids. Then, the probability of placing Felicity in the last place is 1/(n-1).

Both probabilities multiplied give 1/(n*(n-1)).

c) The probability that Celia and Felicity are next to each other in the line is

P_c=\frac{2(n-1)!}{n!}=\frac{2}{n}

There are n! combinations for kids lines, where (n-1)! permutations have Celia before Felicity and other (n-1)! permutations have Felicity before Celia.

Then, we have 2(n-1)! permutations that have Celia and Felicity next to each other, over n! permutations possible.

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Answer:

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