Answer:
2/20
Step-by-step explanation:
if you add all of the marbles you will get 20 marbles in total.
For this case we have that the main function is given by:
We apply the following transformation:
Vertical displacements:
Assume k> 0
To graph y = f (x) - k, move the graph k units down.
For k = 3 we have:
Answer:
when the function is changed to f (x) - 3 the change that will occur is:
Vertical displacement 3 units down.
The quotient is : 5x-12+(25)/(x+3)
The remainder is : 25
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the true population mean textbook weight.
Number of sample, n = 22
Mean, u = 64 ounces
Standard deviation, s = 5.1 ounces
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
64 ± 1.645 × 5.1/√22
= 64 ± 1.645 × 1.087
= 64 ± 1.788
The lower end of the confidence interval is 64 - 1.788 = 62.21 ounces
The upper end of the confidence interval is 64 + 1.788 = 65.79 ounces
Therefore, with 90% confidence interval, the true population mean textbook weight is between 62.21 ounces and 65.79 ounces
Area of a triangle = 1/2 base * height
A = 1/2 (10)* 20
A= 5*20
A = 100 cm^2
Choice C
