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3 years ago

Use synthetic division find the product of ( 2x+3) and (x2-5x+6)

Mathematics

1 answer:

alexgriva [62]3 years ago

6 0

Answer:

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Explanation:

We have:

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(

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Now let's distribute this piece by piece:

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(

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(

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(

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(

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(

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(

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(

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(

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And now we add them all up (I'm going to group terms in the adding):

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And now simplify:

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Step-by-step explanation:

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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole nu

NeX [460]

Answer: 3x or 300%

Explanation: Divide 54 by 18 to get 3.

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2 years ago

Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and

torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

$P(X=x) = C(n,x)p^{x} (1-p)^{n-x}$

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

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

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

$p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102$

b) At least 3 customers make a purchase. x ≥ 3

$P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557$

c) At most 2 customers make a purchase. x ≤ 2

$P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443$

d)At least 1 customer makes a purchase. x ≥ 1

$P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824$

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

6 0

3 years ago

18. Given PQ | BR. Then find the measure of x

maria [59]

Answer:

∠x = 70°

Step-by-step explanation:

Given that PQ||BR

Line PQ and BR with transversal AC,

∠x + ∠ACR = 180° {Co-interior angles}

⇒∠x + 110° = 180° {From what I can see it looks like 110.}

⇒∠x = 180° - 110°

⇒∠x = 70°

7 0

2 years ago

The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. what is the to

liraira [26]

Well it depends whether or not the ratio was originally simplified. But, assuming that it was not, there would be a total number of 14 people in the room. However, if it was, it would be a multiple of 14.
I'm sorry if this is confusing, I can further explain if you want!

5 0

3 years ago

Find the area of the triangle

BartSMP [9]

Area of the triangle = 1/2 x base x height

Area of the triangle = 1/2 x 74 x 17

Area of the triangle = 629 ft²

Answer: 629 ft²

6 0

3 years ago

Use synthetic division find the product of ( 2x+3) and (x2-5x+6)​

Use synthetic division find the product of ( 2x+3) and (x2-5x+6)