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3 years ago

How do I solve this:180-(2x-40)its a geometry problem.

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

180-1(2x-40)

180-1(2x)+(-1)(-40)

180+−2x+40

Combine Like Terms:

180+−2x+40=(−2x)+(180+40)

-2x+220

Step-by-step explanation:

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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

Kay [80]

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

If 8 households choose randomly,

That is, n = 8

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

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

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

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

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

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(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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3 years ago

Which of the following is not a solution for finding the perimeter of the square?

kenny6666 [7]

Answer:

Step-by-step explanation:

y needs to provide a number

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3 years ago

Hey i need this asap

svp [43]

Here we go again lol

Answer: Experimental probability of landing on white = 177/1000.

Theoretical probability of landing on white = 1/5.

The larger the amount of spins, the greater the likelihood that the experimental probability will be close to the theoretical.

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3 years ago

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Simplify the following by removing parentheses and combining terms -(2q+6)+3(2q+4)-2q

Gelneren [198K]

Answer:

2q+6

Step-by-step explanation:

So basically, you would do this.

-2q-6+6q+12-2q

-4q+6q = 2q

12-6=6

2q+6

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2 years ago

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A subway train travels at a rate of 50 miles per hour. Write and solve an equation to find the number of minutes it take for the

AVprozaik [17]

Answer:

12 minutes

Step-by-step explanation:

50 miles = 10 miles << Equivalent

1 hour = x << fraction

You divide 50 by 5 to get 10,

so to get the number of minutes for 10 miles,

divide 60 by 5.

(1 hour = 60 minutes, 60/5 = 12)

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2 years ago