Answer:
Mean is 12.13 months
Standard deviation is 1.29
Step-by-step explanation:
We need to use z-score here
Let the mean of the distribution be a while the standard deviation be b
Mathematically;
z-score = (x-mean)/SD
We can obtain the probability from the z-score
Now, for the 10th month
The z-score for a probability of P = 0.05(5%)
Can be obtained from the standard normal distribution table and that is;
-1.645
Hence;
-1.645 = (10 - a)/b
-1.645 b = 10 - a
a = 10 + 1.645b ••••••(i)
For the 13 month, we have a proportion of 75%
The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table
Hence;
0.674 = (13-a)/b
0.674b = 13 - a
a = 13 - 0.674b. •••••(ii)
Now equate both a;
10 + 1.645b = 13 - 0.674b
13-10 = 1.645 b+ 0.674b
3 = 2.319b
b = 3/2.319
b = 1.294
So the mean a will be
10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13
So mean is 12.13
For this case, the first thing we must do is define variables.
We have then:
x = pounds of type a coffee
y = pounds of type b coffee
We now write the system of equations:
5.95x + 4.45y = 490.05
y = 2x
Solving the system of equations we have:
x = 33
y = 66
Answer:
were used 33 pounds of type a coffee
Answer:
or 0.25 or 25%. Answer as instructed in the question.
Step-by-step explanation:
There are four equal parts and since the spinner is unbiased, the probabilities will be equal.
379500 would be the population after 10 years
The right side of the x-axis represents positive domain and the left side of the x-axis represents a negative domain.
So a radical function with an even index could have a domain of x≥0, so that's why they only appear on the right side.
Whereas a radical function with an odd index has a domain of all real numbers, so they appear on both sides.
The easiest scenario to see why this is true is to test square root and cube root.
You can't have a square root (even index) of a negative number, but you can have a cube root (odd index) of a negative number.
Example: 
= UNDEFINED, ರ_ರ
![\sqrt[3]{-27} = -3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-27%7D%20%3D%20-3)
, ♥‿♥
