A slope of 3 means the gradient is 3 so we get y=3x+c as derived from the linear formula. we then sub in x=2 and y=-0.5. this gives us c=-6.5.
The equation would be y=3x-6.5
I think this is right.
Answer with a Step-by-step explanation: We are given the table as:
x f(x)
0 6
2 7
4 0
7 5
i.e. corresponding to different values of x we are given the values of f(x)
we have to find the value of f(0)
i.e. we have to find the value of f(x) when x=0
As we can see from the table the value of f(x) at x=0 is 6
Hence, Correct option is:
C) 6
He is 40 mins away form home because he is going 65 mi/hr = 1 min per mile
hopefully that helps you make an equation
f(x)= -2 (x - 2) ( x - 4)
if x=2 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (2,0)
if x=4 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (4,0)
if x=0 ⇒f(x)= -2 *(-2)*(-4)= - 16 ⇒ graph of f(x) intercept y axis in (0,- 16)
⇒ f(x)= -2 (x - 2) ( x - 4) is the answer
Answer:
1. 68%
2. 50%
3. 15/100
Step-by-step explanation:
Here, we want to use the empirical rule
1. % waiting between 15 and 25 minutes
From what we have in the question;
15 is 1 SD below the mean
25 is 1 SD above the mean
So practically, we want to calculate the percentage between;
1 SD below and above the mean
According to the empirical rule;
1 SD above the mean we have 34%
1 SD below, we have 34%
So between 1 SD below and above, we have
34 + 34 = 68%
2. Percentage above the mean
Mathematically, the percentage above the mean according to the empirical rule for the normal distribution is 50%
3. Probability that someone waits less than 5 minutes
Less than 5 minutes is 3 SD below the mean
That is 0.15% according to the empirical rule and the probability is 15/100