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3 years ago

A linear function includes the points (2, 3) and (6, 8). What is the rate of change of the linear function?

Mathematics

2 answers:

amid [387]3 years ago

8 0

Answer:

Easyyyyy i got a 100% on my test the answer is 3/4 in the simplest form

Step-by-step explanation:

plzzzzz mark brainliest

Sindrei [870]3 years ago

7 0

Answer:

The rate of change of a linear function = 5/4

Step-by-step explanation:

Given that a linear function includes the points (2, 3) and (6, 8).

So we have the points

(2, 3)

(6, 8)

We know that the rate of change of a function is also termed as the slope of the function.

In other words, the slope of the linear function gives us the rate of change of the linear function.

Thus,

Determining the rate of change or slope between (2, 3) and (6, 8)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (6, 8)

Using the formula

Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]

= [8 - 3 / [6 - 2]

= 5 / 4

Thus, the rate of change of a linear function = 5/4

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Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25

Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

Binomial probability distribution

$P(X =x) = \: ^nC_xp^x(1-p)^{n-x}$

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 - ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

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8 0

2 years ago

a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (

lianna [129]

It's important that you share the complete question. What is your goal here? Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.

Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.

Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.

(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem. If it's different from that which you have shared, share the correct version and come back here for further help.

3 0

3 years ago

Reagan jars 6 liters of jam every day. How much jam did Reagan jar if she spent 3 days making jam?

Andrei [34K]

She spent 18 liters of jam!

5 0

3 years ago

The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o

Nimfa-mama [501]

Answer: $b(t(h))=135h^2+180h+125$

Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function $b(t)=15t^2-60t+125$ , where t is the temperature of food in degrees Fahrenheit.

The function $t(h)=3h+4$ gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

$b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125$

So, The number bacteria in the food in h hours is given by:

$b(t(h))=135h^2+180h+125$

4 0

3 years ago

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Inessa [10]

Answer:

6 Feet of String.

Step-by-step explanation:

Marla is making 6 Bracelets

Given that each bracelet requires 1 foot of string

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She will need 6 Feet of String for the bracelets.

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4 years ago