Answer:
associative property with respect to addition and subtraction
3+[7+(-4)]=(3+7)+(-4)
3+[7-4]=10+(-4)
3+3=10-4
6=6
Step-by-step explanation:
i hope it will help you
The answer should be either b or d but i’m not too sure
Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.

The standard error of the proportion is:

The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
Answer:
Step-by-step explanation:
Hello, let's say that the price was P, a real number.
After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)
= P * 0.8
And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)
= P * 0.8 * 1.15
And this is equal to 22080, so
P * 0.8 * 1.15 = 22080
and the amount of the VAT is P *0.8 * 0.15

Hope this helps.
Thank you.
(x+3y) (x-3y) = x^2 9y^2
(x-y) (x+3y) = x^2+2xy-3y^2
(xy+9y+2) (xy-3) = x^2 y^2 +9xy^2-xy-27y-6
(x^2+3xy-2) ( xy+3) = x^3 y+3x^2 y^2 +7xy-6
(2xy+x+y) (3xy^2-y) = 6x^2 y^3 +3x^2 y^2 +xy^2-2xy^2-xy-y^2
(xy+3x+2) ( xy-9) = x^2 y^2 +3x^2 y -7xy-27x-18