Answer:
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
Step-by-step explanation: is given value in dollars of a stock in t months after it is purchased.
a) Substitute 1 for t
V(12) =
b) Find derivative for V
c) When V(t) = 75
d) As t tends to infinity, exponent being in negative t tends to 0
So V tends to 42(1-0)+36 = 78
The average rate of change is defined as:
For AVR to be negative, it must comply with:
Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.
Among the options given, this interval is:
1 to 2.5
Answer:
An interval on the x-axis that has a negative rate of change is:
D. 1 to 2.5
Answer:
The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.4 - 0.04 = 5.36 years.
The upper end of the interval is the sample mean added to M. So it is 5.4 + 0.04 = 5.44 years.
The 90% confidence interval for the mean time required by all college graduates is between 5.36 years and 5.44 years.
Answer:
Given the statement:
9 less than the sum of x and 5
"Sum of x and 5" means
"" means subtract
then;
the statement 9 less than the sum of x and 5 becomes;
⇒
⇒
Therefore, the expression for the given statement is