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3 years ago

Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.

Mathematics

1 answer:

Gwar [14]3 years ago

8 0

Answer:

Step-by-step explanation:

You divide the change in the output value by the change in the input value.

Input: 0 | 4

Output: 1 | 21

20/4= 5

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a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

Answer: $\dfrac{12}{13}$

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

$P(B|A)=1$

$P(B|A')=\dfrac{1}{4}$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$

The probability that the student knows the answer given that he answered it correctly is $\dfrac{12}{13}$ .

6 0

3 years ago

WHAT IS 6 MULTIPLIED 6 + 2 +1

Sunny_sXe [5.5K]

Answer: 108? I think haha-

5 0

3 years ago

Read 2 more answers

Which statement is true about the measures of center of the practice times?

steposvetlana [31]

Correct answer is C..................

5 0

3 years ago

The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle?

Helga [31]

Answer:

I'll set up the problem and you can do the calculation

Step-by-step explanation:

we need to complete the squares to get the equation in the general form:

${(x - h)}^{2} + {(y - k) }^{2} = {r}^{2}$

where h = the x coordinate of the center

k = the y coordinate of the center

r = the radius

so looking at

${x}^{2} - 2x$

we can see that if use -1 as the constant we have

${(x - 1)}^{2} = {x}^{2} - 2x + 1$

doing the same for y

${y}^{2} - 4y$

we can use -2 as the constant (basically you that the s

quare of the y coefficient )

${(y - 2)}^{2} = {y}^{2} - 4y + 4$

so now we have to add or subtract the constant on the RHS to see what the square of the radius is according to the general form of the equation at the top

20 +1+4=25

Take the square root and you have the radius

4 0

3 years ago

How to find slope y=3x+5

klemol [59]

This equation is in slope-intercept form; y = mx+b.

m is the slope and b is the y-intercept, so to find the slope you'd look at the coefficient of x.

In this equation, y = 3x+5, the coefficient of x is 3, so that means that the slope of this equation is 3.

Answer is:

3 is the slope

3 0

3 years ago