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Vika [28.1K]
4 years ago
12

Simplify 2y+3y2+6y+7y2​

Mathematics
1 answer:
just olya [345]4 years ago
3 0

Answer:

28y

Step-by-step explanation:

you multiply 3×2 and get 6 y. then you multiply 7×2 and get 14y. then you combine like terms and get 28

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Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy?
Anon25 [30]

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline (C), measured in dollars, is given by the following expression:

C = n\cdot c

Where:

n - Amount of gasoline, measured in gallons.

c - Unit cost, measured in dollars per gallon.

Given that C = \$\,18 and c = \$\,2.78\,\frac{1}{gal}, the amount of gasoline is cleared and calculated:

n = \frac{C}{c}

n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }

n = 6.474\,gal

Cory bought 6.474 gallons of gasolline.

3 0
3 years ago
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer
aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that p = 0.7

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that n = 5

a. All five qualify for the favorable rate

This is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

P(X \geq 4) = P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602

P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681

P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0
3 years ago
HELP AHHHHHHHHHHHHHH
horrorfan [7]
Obviously (D)
Because it increases $0.50 every morning.
4 0
3 years ago
Read 2 more answers
Symbolize and Solve Equations
NNADVOKAT [17]

x = 5.43 + .83m

5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

5 0
2 years ago
Suppose the population of a town is 134,000 in 2004. The population increases at a rate of 3 percent
ozzi

Answer:

start by getting 3% of 134000 and adding that on which gives us 138020 for the year 2005. get 3% of 138020 and add that on for the population in 2006 etc. in 2020 the population would be 215,031

Step-by-step explanation:

5 0
4 years ago
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