Answer:

Step-by-step explanation:
The given function is

To find the inverse, we interchange x and y to get:

We now solve for y by taking antilogarithm.

Therefore the inverse of the given exponential equation is the logarithm function

3/10=0.3=30%
725/1000=0.725=72.5%
4/10=0.4=40%
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:



So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Answer:
The coordinates of point E are (3,-2)
Step-by-step explanation:
we know that
The diagonals of a parallelogram bisect each other
That means ----> The coordinates of point E is the midpoint diagonal AC or the midpoint diagonal BD
The formula to calculate the midpoint between two points is equal to

<u><em>Verify both cases</em></u>
<em>Find the midpoint AC</em>
we have the points
A(1,1) and C(5,-5)
substitute in the formula


<em>Find the midpoint BD</em>
we have the points
B(8,5) and D (-2,-9)
substitute in the formula


therefore
The coordinates of point E are (3,-2)
Answer:
a) 0.013
b) 0.7
c) 0.866
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1262
Standard Deviation, σ = 118
We are given that the distribution of number of chocolate chips is a bell shaped distribution that is a normal distribution.
Formula:
a) P(fewer than 1000 chocolate chips)
P(x < 1000)
Calculation the value from standard normal z table, we have,
b) P(contains more than 1200 chocolate chips)
Calculating the value from the standard normal table we have,
c)P(contains between 1000 and 1400 chocolate chips)