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3 years ago

A fair die is rolled 8 times. a. what is the probability that the die comes up 6 exactly twice?

1 answer:

6 0

P(first 2 rolls = 6 and rest not 6) = 1/6 * 1/6 * (5/6)^6 = 0.00930272

there are 8C2 ways of obtaining exactly 2 6's in 8 throws = 28 ways

so required probability is 0.00930272 * 28 = 0.26 to nearest hundredth

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Write the equation x2+24x+60=0 in the form (x+p)2=q

navik [9.2K]

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)

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3 years ago

Given below are descriptions of two lines.

gulaghasi [49]

Answer:

Line 1 is 1/3

Line 2 is 1/3 as well

Choice 1

Step-by-step explanation:

Rise over run

Line 1:

$\frac{(7)-(3)}{(6)-(-6)}$

$\frac{4}{12}$

Simplify:

1/3

Line 2:

$\frac{(2)-(1)}{(-3)-(-6)}$

$\frac{1}{3}$

1/3

1 is Paralell to 2 because they have the same slope

I hope this helps! :D

Pls give thx and brainliest if i’m right!

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3 years ago

I need serious answers ppl keep putting those links

ohaa [14]

Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

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3 years ago

I need to know the answer

Nesterboy [21]

Answer in the attachment.

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3 years ago

Find the domain of f(x)=x-9/x squared-81

vagabundo [1.1K]

$f(x)=\dfrac{x-9}{x^2-81}\\\\\text{The domain:}\\\\x^2-81\neq0\qquad\text{add 81 to both sides}\\\\x^2\neq81\to x\neq\pm\sqrt{81}\\\\x\neq-9\ \wedge\ x\neq9\\\\Answer:\ \boxed{\text{All real numbers except -9 and 9}}\to\boxed{x\in\mathbb{R}-\{-9,\ 9\}}$

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3 years ago