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Greeley [361]
3 years ago
12

Use the remainder theorem to find P(−2) for P(x) = 2x^4+2x^3−2x-4

Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0

Answer:P(2) = 2(2)³ - 2(2)²- 3

= 16 - 8 - 3

= 5

Remainder or value of P(2) = 5

Quotient =   (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4

Step-by-step explanation:

LUCKY_DIMON [66]3 years ago
4 0

Answer:

P(2) = 2(2)³ - 2(2)²- 3

= 16 - 8 - 3

= 5

Remainder or value of P(2) = 5

Quotient =   (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4

Step-by-step explanation:

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"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s
statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let <em>X</em> = number of consumer's who recognize the brand.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.40.

A random sample of size, <em>n</em> = 6 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the value of P (X = 5) as follows:

P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

              = 0.0369 + 0.0041

              = 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0
3 years ago
The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
Vera_Pavlovna [14]
Your answer would be B. 2:5. Hope I helped you! 
5 0
3 years ago
Will give BRAINLIEST if answered
andrew-mc [135]

Answer:

I think its c

Step-by-step explanation:

because a and b are integer and b=/0

i am only thinking not sure

don't report my answer

3 0
3 years ago
Read 2 more answers
Anybody know the answer I need help. Please
Evgen [1.6K]

Answer:

  \dfrac{p^2+9p+2}{p^2-49}

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

  \dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}

8 0
3 years ago
create a ratio table for making lemonade with a lemon juice -to -water ratio of 1:3 show how much lemon juice would be needed if
Mekhanik [1.2K]
The ratio is 12:36 of lemonade juice to water so 1:3, 2:6, 3:9 and so on.
6 0
3 years ago
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