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2 years ago

What is the mean and mode of the data set shown below? {2, 4, 5, 6, 8, 2, 5, 6}

1 answer:

4 0

The average is calculated by adding all numbers and dividing by the count:

(2+4+5+6+8+2+5+6)/8 = 38/8 = 4.75

The mode is the number that occurs most often, however, this is the case for 2, 5 and 6. A data set can have multiple modes. 2, 5 and 6 are modes.

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What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal

Advocard [28]

The average rate of a function f(x) over an interval x = a and x = b is given by:

$Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a}$

Given the function

$f(x)=20(14)^x$

The average rate of change from x = 1 to x = 2 is given by:

$\frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1} \\ \\ =20(196-14)=20(182)=3,640$

6 0

3 years ago

What is the growth factor of y=70(2)^x

user100 [1]

Answer:

100% growth rate or it doubles

Step-by-step explanation:

This is of the form

y = ab^x

where a is the initial value and

b is the growth/decay factor

b>1 growth

b<1 decay

Since b>1 it is growth

We determine the growth rate by

b-1

2-1 =1

Multiply by 100%

1*100% = 100 % growth rate

3 0

3 years ago

17 times the sum of a number, n, and 31 is 300. Write as an equation.

Illusion [34]

Answer:

17(n+31)=300

Step-by-step explanation:

17 times the sum of a number, n and 31 is 17(n+31)

and then set that equal to 300

3 0

2 years ago

Please Help!!!!

lutik1710 [3]

Answer:

Step-by-step explanation:

The linear function

One of the points is (0,5), so

f(0) = 5

The y-intercept is at (0,5).

===============

The exponential function

The general formula for an exponential function is $y = a(b)^{x}$ .

=====

Calculate the value of b

y₃/y₂ = [a(b)³]/[a(b)²]

250/50 = b

b = 5

=====

Calculate the value of a

250 = a(5)³

250 = a × 125

a = 2

=====

$g(x) = 2(5)^{x}$

g(0) = 2(5)⁰

g(0) = 2 × 1

g(0) = 2

=====

|f(0) – g(0)| = |5 – 2|

|f(0) – g(0)| = 3

The positive difference in the y-intercepts of f(x) and g(x) is 3.

You can see the two y-intercepts on the graph below.

4 0

3 years ago

Read 2 more answers

What type of triangle is shown below? A. Equilateral B. Isosceles C. Scalene

iren2701 [21]

Answer:

Scalene

Step-by-step explanation:

Equilateral has all sides equal. Isosceles has only 2 sides equal. Scalene has no sides equal.

5 0

2 years ago