All categories

3 years ago

Calculate the average rate of change for the given function, from x = 2 to x = 7.

1 answer:

5 0

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\

\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&0\\2&15\\7&30
\end{array}
\qquad 
\begin{cases}
x_1=2\\
x_2=7
\end{cases}\implies \cfrac{f(7)-f(2)}{7-2}\implies \cfrac{30-15}{5}
\\\\\\
\cfrac{15}{5}\implies 3$

You might be interested in

The sum of two numbers is 67. if one of the numbers is p, express the other number in terms of p

Ierofanga [76]

Since the sum of two numbers is 67
and one number is p
so the other number is (67-p)

3 0

3 years ago

keisha's grandmother gave her a doll that paid $6 for 60 years ago. the doll's current value is $96. its value doubles every 15

kodGreya [7K]

The answer is $1536 I believe

6 0

3 years ago

Write an equation of the line that passes through the points (-3,-4),(6,-1)

klasskru [66]

Find and review the slope formula.

The slope of a line segment that connects the points (a, b) and (c, d) is
d-b
m = --------------
c-a

Write out this formula for a=-3, b=-4, c=6 and d=-1.

3 0

3 years ago

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

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

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0

3 years ago

What is the sine value of π? <br> -1/2<br> 1/2<br> 0<br> 1

NeX [460]

sin( $\pi$ )=Sin( $\pi$ -0) =Sin 0=0

Option C Sin( $\pi$ )=0

Also, using unit circle, Sin( $\pi$ )=0

4 0

3 years ago

Read 2 more answers