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djverab [1.8K]
3 years ago
12

What is 4(-2) - 2y =8?

Mathematics
2 answers:
vladimir1956 [14]3 years ago
7 0

Answer:

y=-8

Step-by-step explanation:

Remember PEMDAS (Parentheses/Exponents/Multiplication/Division/Adding/Subtracting)

Multiply 4 and -2= -8

-8-2y=8

Now do inverse operations

to get rid of the -8 you add it to the other side = -2y=16

Then to get rid of the -2 you divide it out to get the y by it self to get y=-8

nlexa [21]3 years ago
5 0

Answer:

y=-8

Step-by-step explanation:

Step 1) distribute 4(-2)

-8-2y=8

Step 2) add 8 to both sides

-2y=16

Step 3) divide both sides by -2

y=-8

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Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
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Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

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(a) the probability of the number that say they would feel secure is exactly 5

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(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

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=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

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