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2 years ago

The number of books in a library tends to increase by the same amount each year. Should

Mathematics

1 answer:

user100 [1]2 years ago

7 0

Answer:

linear

Step-by-step explanation:

Because its a constant increase

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If the function f is given by f(x)=2x2−4, then which of the following represents the value of c such that f(c)=28?

Zigmanuir [339]

I believe the answer is C. 4

4 0

3 years ago

It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the

son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. 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.

50% of adult workers have a high school diploma.

This means that $p = 0.5$

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

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

$P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039$

$P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313$

$P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094$

$P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188$

$P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734$

$P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556$

85.56% probability that less than 6 of them have a high school diploma

7 0

3 years ago

13a+26>-13 Answer and Check it.

Sonbull [250]

I think It's a>-3, maybe.

5 0

3 years ago

To be able to compete in a particular class, a bodybuilder can weigh in at no more than

adell [148]

Answer:

Range of weight = 176 - 146 pound

Step-by-step explanation:

Given:

Maximum weight = 175 pound

Minimum weight = 145 pound

Clothes weight = 1 pound

Find:

Range of weight

Computation:

Range = maximum weight - 1 pound

Range = minimum weight + 1 pound

Range = 175 - 1 pound

Range = 145 + 1 pound

Range = 174

Range = 146

Range of weight = 176 - 146 pound

4 0

3 years ago

What is the multiplicity of the root 2 in the equation x^3-8x^2+20x-16=0?

mote1985 [20]

Factoring the cubic you get: (x - 2)^2 (x-4) , so we know the multiplicity is the amount of times a root shows in an equation because the equation (x-2) has a exponent of 2 that means the root 2 has a multiplicity of 2.
Answer: 2

8 0

3 years ago