M = mangoes
a = apples
8m + 3a = 18 Equation 1
3m + 5a = 14.50 Equation 2
Lets multiply equation 1 by 5 and equation 2 by 3
The new equations are:
45m + 15a = 90
9m + 15a = 43.5
Subtract them and get:
36m = 46.5
m = 1.30 Divide both sides by 36
Substitute m into equation 2 (either is fine, but choose the easier one)
3(1.30) + 5a = 14.5
3.9 + 5a = 14.6 Expand the bracket
5a = 10.6 Minus both sides by 3.9
a = 2.12 Divide both sides by 5
Mangoes cost $1.30
Apples cost $2.12 (more like $2.10)
I feel that my working out is wrong, but that is how you work out the answer.
Answer:x = -2 ± 2√2
Explanation:To answer this question, we will first need to put the equation in the standard form: ax² + bx + c = 0
This can be done as follows:
x² + 4x + 4 - 8 = 0
x² + 4x - 4 = 0
Comparing the equation we reached with the general form, we would find that:
a = 1
b = 4
c = -4
Now, to get the solution of the equation, we will use the quadratic formula shown in the attached image
Substituting in the equation with the values of a, b and c, we can get the two roots as follows:
x =
x = -2 ± 2√2
Hope this helps :)
I believe it would be 0+.1+.01+0.005
Answer:
And the 95% confidence interval would be given (0.419;0.481). And the best option would be:
b. .419 to .481
Step-by-step explanation:
We know the following info:
sample size selected
represent the number of people who favored Candidate AT
The sample proportion would be:
The confidence interval would be given by this formula
For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.419;0.481). And the best option would be:
b. .419 to .481