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marysya [2.9K]
3 years ago
11

Factor completely of 3x^2+x-2.

Mathematics
1 answer:
liq [111]3 years ago
3 0
You factor by grouping and the answer is (3x-2)(x+1).
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Suppose a brand of lightbulbs is normally distributed with a mean life of 1900 hours and a standard deviation of 50 hours. Find
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4 years ago
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on th
mariarad [96]

Answer:

Carmen's prediction is low because 200 times \frac{1}{4} is 50.

Step-by-step explanation:

First of all we are going to define the sample space for this exercise.

The sample space is Ω = {1,2,3,4,5,6,7,8}

Given the event A : ''Roll an 8-sided die an get a multiple of 4''

The probability for the event A is P(A)=\frac{2}{8}=\frac{1}{4}

Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.

Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls

an 8-sided die 200 times''

X can be modeled as a Binomial random variable.

X ~ Bi (n,p)

X ~ Bi (200,\frac{1}{4})

In which n is the total times she rolls the 8-sided die and p is the success probability.We define a success as obtain a number multiple of 4.

The mean for this variable is

E(X)=np=200.\frac{1}{4}=50

We answer that Carmen's prediction is low because 200 times \frac{1}{4} is 50.

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