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frutty [35]
2 years ago
13

One root of f (x) = x cubed minus 4 x squared minus 20 x 48 is x = 6. What are all the factors of the function? Use the Remainde

r Theorem.
Mathematics
2 answers:
sertanlavr [38]2 years ago
8 0

Answer:

C )  ( x - 2 ) ( x + 4 ) ( x - 6 )

Step-by-step explanation:

.

Tcecarenko [31]2 years ago
4 0

Answer:

The answer is the third choice, (x – 2)(x + 4)(x – 6)

Step-by-step explanation:

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13. * 7 points 13 A ladder is 50 feet and cast a 25 foot shadow. Mark is 6 feet how long would his shadow be? A 25 feet B 32 fee
Rina8888 [55]

Answer:

3

Step-by-step explanation:

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7 0
3 years ago
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Find the surface area of this prism.
Advocard [28]
8,748 is the answer because multiple all the number and get 8,748
4 0
2 years ago
A center for medical services reported that there were 295,000 appeals for hospitalization and other services. For this group, 4
pshichka [43]

Answer:

a) 0.0025 = 0.25% probability that none of the appeals will be successful.

b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.

c) 0.9768 = 97.68% probability that at least two of the appeals will be successful

Step-by-step explanation:

For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution 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.

45% of first-round appeals were successful.

This means that p = 0.45

Suppose 10 first-round appeals have just been received by a Medicare appeals office.

This means that n = 10

(a) Compute the probability that none of the appeals will be successful.

This is P(X = 0).

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

P(X = 0) = C_{10,0}.(0.45)^{0}.(0.55)^{10} = 0.0025

0.0025 = 0.25% probability that none of the appeals will be successful.

(b) Compute the probability that exactly one of the appeals will be successful.

This is P(X = 1).

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

P(X = 1) = C_{10,1}.(0.45)^{1}.(0.55)^{9} = 0.0207

0.0207 = 2.07% probability that exactly one of the appeals will be successful.

(c) What is the probability that at least two of the appeals will be successful

This is P(X \geq 2)

Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

P(X < 2) = P(X = 0) + P(X = 1) = 0.0025 + 0.0207 = 0.0232

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0232 = 0.9768

0.9768 = 97.68% probability that at least two of the appeals will be successful

6 0
2 years ago
A small business has 5000 shares. Lauren owns 200 of these shares. The company decides to split its shares. What is Laurens owne
Talja [164]
4% 
200/5000 = .04
.04*100= 4%
4 0
3 years ago
Pls help !! answer both 1a and 1b pls​
Ivan

Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

4 0
2 years ago
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