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vlada-n [284]
4 years ago
10

Find the sum of the polynomials. (3x3 + 4x2 - 2x + 1) + (x4 - x3 + 5x2 + 2x + 3) A. x4 + 2x3 + 9x2 - 4x + 4 B. x4 + 4x3 + 9x2 +

4 C. x4 + 2x3 + 9x2 + 4x + 4 D. x4 + 2x3 + 9x2 + 4
Mathematics
1 answer:
alisha [4.7K]4 years ago
7 0
3 x^{3} + 4 x^{2} -2x + 1 + x^{4} -  x^{3} + 5 x^{2} + 2x +3 =  x^{4} +2 x^{3} + 9 x^{2} + 4

Hence, the answer is D.
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it is  18

Step-by-step explanation:

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What is the value of x?<br> (3x+ 30)<br> 20, 15, 25, 10
slamgirl [31]

The value of <em>x </em>in the equation, (3x + 30), is 10.

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7 0
3 years ago
Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which 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.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

3 0
3 years ago
PLEASE HELP OMG the side lengths of triangle MNO are given: MN=5, NO=4, OM=2.5. the triangle is dilated by a scale factor of k w
elena-14-01-66 [18.8K]

The value of the scale factor k, is 1.5

<h3>Perimeter</h3>

The perimeter of a shape is the sum of the side lengths of the shape

<h3>Dimensions </h3>

The dimensions of the triangle MNO are given as:

MN = 5

NO = 4

OM = 2.5

Calculate the perimeter of the triangle as follows:

MNO=5 + 4 +2.5

MNO=11.5

Divide 17.25 by 11.5 to calculate the scale factor (k)

k = \frac{17.25}{11.5}

k = 1.5

Hence, the scale factor is 1.5

Read more about scale factors at:

brainly.com/question/25657743

7 0
3 years ago
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