Answer:
Yes
Step-by-step explanation:
Multiplying an integer by 0.01 is the same as Dividing such as :
0.01 = 10^-2
100= 10
For instance :
A number, n = 5 is multiplied by 10^-2
5 * 0.01 = 0.05
Thus, divide the number, n by 100;
5 / 100 = 0.05
Hence, the proof.
Given:
Replace f(x) by f(x - h).
To find:
The effect on the graph of replacing f(x) by f(x - h).
Solution:
Horizontal shift is defined as:
If the graph f(x) shifts h units left, then f(x+h).
If the graph f(x) shifts h units right, then f(x-h).
Where, h is a constant that represents the horizontal shift.
In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.
Here, we have x-h in place of x.
Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).
Answer:
6 years
Step-by-step explanation:
First, you need to write an equation for this problem. I'll write it in slope intercept:
y = mx + b
where m is the slope and b is the y-intercept
To find m, do (change in y/change in x):
using (2, 59000) and (5, 72500),
(72500 - 59000) / (5 - 2)
= 13500 / 3
= 4500
So we have y = 4500x + b
To find b, plug in one of the points into the equation with the slope:
using (2, 59000),
y = 4500x + b
59000 = 4500(2) + b
59000 = 9000 + b
50000 = b
So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:
when y = 77000
y = 4500n + 50000
= 77000 = 4500x + 50000
= 27000 = 4500x
= 6 = x
So, when Claire's Salary is 77000, her number of years at the company is 6.
Answer:
21.77% probability that the antenna will be struck exactly once during this time period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
Find the probability that the antenna will be struck exactly once during this time period.
This is P(X = 1).
21.77% probability that the antenna will be struck exactly once during this time period.
