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vichka [17]
3 years ago
10

Use the zero product property to find the solution to the equation 6x^2-5x=56

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

x = -8/3 or 7/2

Solution:

6x^2 - 5x = 56

6x^2 - 5x - 56 = 0

6x^2 -21x +16x - 56 = 0

3x(2x-7) + 8(2x-7) = 0

(3x + 8)(2x-7) =

3x + 8 = 0  or 2x - 7 = 0

x = -8/3 or 7/2

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A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash
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Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X  is

P(X=x)=nCxp^{x} q^{n-x}

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

P(X=10)=15C10(0.6^{10})( 0.4^{5}) =0.185938

P(X=11)=15C11(0.6^{11}) (0.4^{4}) =0.126776

P(X=12)=15C12(0.6^{12}) (0.4^{3}) =0.063388

P(X=13)=15C13(0.6^{13}) (0.4^{2}) =0.021942

P(X=14)=15C14(0.6^{14}) (0.4^{1}) =0.004702

P(X=15)=15C15(0.6^{15}) (0.4^{0}) =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0
3 years ago
Retro Jordan 13s had a regular price of $395, but Jay found them on sale for 15% off. Including the 8% sales tax, what did Jay p
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Answer:

$362.21

Step-by-step explanation:

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Simply put you multiply 30 by 8.

30*8 = 240

So in total he bought 240 hot dogs.

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16x – 12 = 30x – 8 solve
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Answer:

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Step-by-step explanation:

solve for x so -12+ 8 = 30x - 16x so -4 = 14x so x = -4/14, so x = -2/7

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Answer:

Step-by-step explanation:

Let x represent the number if months it will take for the total costs of both plans to be the same.

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