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3 years ago

Simplify. x² − x − 30÷x² − 12 x + 36

1 answer:

7 0

(x² - x - 30)/(x² - 12x + 36)
Factor: [(x-6)(x+5)]/[(x-6)(x-6)]
Simplify: (x + 5)/(x - 6)

Reminder that x ≠ 6 (because it would make the expression undefined)

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2 years ago

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A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that

Lyrx [107]

Answer:

$Probability = \frac{1}{5}$ or $Probability = 0.2$

Step-by-step explanation:

Given

$Black = 25$

$White = 35$

$Red = 40$

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

$Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)$

Convert to mathematical expressions

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$

Solve for each probaility;

$P(Black) = \frac{Black}{Total} = \frac{25}{100}$

$P(Red) = \frac{Red}{Total} = \frac{40}{100}$

So, we have:

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$ $Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]$

$Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]$

$Probability = [\frac{1}{10}] + [\frac{1}{10}]$

$Probability = \frac{1+1}{10}$

$Probability = \frac{2}{10}$

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$Probability = 0.2$

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3 years ago

What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18

Fynjy0 [20]

Answer:

I think the answer is B.23

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2 years ago

s the number of points scored during a basketball gamenumber of points scored during a basketball game a discrete random variab

Temka [501]

Answer:

The answer is Discrete Random Variable

Step-by-step explanation:

A random variable is considered discrete if its possible values are countable.

In our case,

In a basketball game, for example, it is only possible for a team's score to be a whole number—no fractions or decimals are allowed, and so the score is discrete.

A good rule of thumb is this: if the variable you're measuring has to be rounded before it's written down, then it's continuous. If no rounding is necessary, as with anything that's countable, then it's discrete.

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