Solve and graph the absolute value inequality: |4x+1| is greater than or equal to 5

1 answer:

7 0

The graph of this inequality would be |4x+1|≥5. Then, we can solve for x by first subtracting both sides by one.
|4x<span>|</span>≥4.
Then, divide both sides by 4.
x≥1
We can check our answer by plugging in values of x.
4*1+1≥5
5≥5
4*2+1≥5
9≥5
I hope that helped :).

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Twelve jurors are randomly selected from a population of 4 million residents. Of these 4 million residents, it is known that 46

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Answer: a) 0.17, b) 0.0363

Step-by-step explanation:

Since we have given that

Number of jurors selected = 12

Number of minorities of jurors = 2

(a) What proportion of the jury described is from a minority race? 

$\dfrac{2}{12}=\dfrac{1}{6}=0.166666\approx0.17$

(b) If 12 jurors are randomly selected from a population where 46% are minorities, what is the probability that 2 or fewer jurors will be minorities?

Let X be the number of jurors who are minorities.

Probability of getting minorities = 0.46

Probability of getting no minorities = 1-0.46 =0.54

$P(X\leq 2)=^{12}C_0(0.54)^{12}+^{12}C_1(0.46)(0.54)^{11}+^{12}C_2(0.46)^2(0.54)^{10}\\\\P(X\leq 2)=0.0363$