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3 years ago

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Examine the following table. Determine whether the rate of change is constant or variable. If it is constant, state the rate of

change.
The Rate Of Change Is?

1 answer:

RoseWind [281]3 years ago

6 0

I think it’s 19 have a nice day

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What is 5 37/56 rounded to the nearest whole number

adelina 88 [10]

The decimal is 5.6607 so it rounds to 6

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4 years ago

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Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Lyrx [107]

Answer:

The first function is linear and the second is neither.

Step-by-step explanation:

A linear function has a constant rate of change.

The rate of change is the slope; it is found using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Between the first two points, the slope is

m = (31-11)/(3-1) = 20/2 = 10

Between the next two points, the slope is

m = (51-31)/(5-3) = 20/2 = 10

This function has a constant slope, so the function is linear.

In order for a function to be exponential, the percent change between y-values must be the same.

To find the percent of change, we use the formula

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

For the first two points, this is

(5-2)/2 = 3/2 = 1.5

For the next two points, this is

(9-5)/5 = 4/5 = 0.8

This is not the same; this means it is not an exponential function.

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3 years ago

Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend $0.35 on candy. W

Korolek [52]

2.38 dollars was his change

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3 years ago

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A spinner has 12 equal sectors with different letters for each sector, as shown below: A spinner with 12 equal sectors is shown.

topjm [15]

The answer is 1 over 12

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In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that A

gulaghasi [49]

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. 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.

60% of the people have been vaccinated.

This means that $p = 0.6$

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

$P(X \geq 1)$ when $n = 4$ .

We have that

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744$

0.9744 probability that AT LEAST ONE of them has been vaccinated

5 0

3 years ago