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2 years ago

find three consecutive odd integers such that the sum of the first and second is 27 less then 3 times the third

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

(x)+(x+2)=3(x+4)-27
2x+2=3x+12-27
2-12+27=17=x

The three integers are 17,19,21

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Rainfall decreased by 0.166. this year. Express this decimal as a percent?

Anettt [7]

0.166 as a percent is 16.6%!

I hope this helped. :)

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2 years ago

Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, π). A) y = π B) y = πx C

Leviafan [203]

Answer:

Step-by-step explanation:

$\text{The equation of a horizontal line:}\ y=a.\\\\\text{The equation of a vertical line:}\ x=a\\\\a-any\ real\ number\\\\\text{We have}\ x=-5.\ \text{It's a vertical line.}\ \text{The line that is perpendicular}\\\text{to the vertical line is a horizontal line.}\\\\\text{The line passes through the point}\ (1,\ \pi)\to x=1,\ y=\pi.\\\\\text{Therefore the equation is}\ y=\pi$

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2 years ago

A coin, having probability p of landing heads, is continually flipped until at least one head and one tail have been flipped. (a

Natali [406]

Answer:

(a)

The probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

Step-by-step explanation:

(a)

Case 1

Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

$p^4 (1-p)$

Case 2

Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

$(1-p)^4p$

Therefore the probability that you stop at the fifth flip would be

$p^4 (1-p) + (1-p)^4 p$

(b)

The expected numbers of flips needed would be

$\sum\limits_{n=1}^{\infty} n p(1-p)^{n-1} = 1/p$

Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

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2 years ago

Solve the equation : |x| - 6 = 4

wlad13 [49]

Answer:

x=10

Step-by-step explanation:

10-6 is equal to 4. The absolute value of 10 is 10. Therefore, x=10. Brainliest?

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2 years ago

Solve for x <br> help ASAP

puteri [66]

Answer: x=6 and the angle is 50

Step-by-step explanation:

1. a whole triangle = 180°

2. subtract 70 and 60 to get 50

3. subtract 2 from 50 and get 48

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hope this helps :) everyone reading this have a great day!

7 0

2 years ago