Answer: 0.0433
Step-by-step explanation:
Given: Sample size : n= 133
The number of females in sample = 65
Then the proportion of females : 
The formula to calculate the standard error of the proportion is given by :-


Hence, the standard error of the proportion of females is 0.0433.
Step-by-step explanation:
If the die has 6 sides, this will be 10 or under, but there are 2160 ways this can happen
So to start off with this problem, let us call the amount invested in Plan A and B as a and b respectively.
So equation 1: a + b = 250,000
Next, we need to get an equation which is equal to 10,000. So the interest rate in plan a + interest rate in plan b would be equal to 10,000. Rewriting this sentence will give us:
Equation 2: .028a + 0.078b = 10,000
Rewrite the first equation into a = 250,000 - b, and then plug the value into equation 2.
.028(250,000 - b) + 0.078b = 10,000
7,000 - 0.028b + 0.078b = 10,000
-0.028b + 0.078b = 10,000 - 7,000
0.05b = 3,000
b = $60000 amount invested at 2.8% while
250,000 - 60,000 = $190,000 is the amount invested at 7.8%
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5