Answer:
They all are solutions!
Step-by-step explanation:

An easy way to check this is just to substitute each pair of values into both equations:
(a) 
(b)

(c)

Have a nice day!
Answer:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.
Step-by-step explanation:
For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive
The confidence level is given 95%, the significance level would be given by
and
. And the critical values are:
The estimated proportion of people satisfied with the quality of education the students receive is given by:

The confidence interval for the proportion if interest is given by the following formula:
And replacing the info given we got:
We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.
Answer: The answer would be B) 9% Decrease!
275 - 250 = 25.
25/275 = 0.0909090909
0.0909090909 x 100 = 9.09090909091
Finally you'd round it to 9%.
Therefore there was a 9% decrease in the amount of large pizzas.
Hope this helps (: Stay safe.
Answer:
65 in and 39 in respectively
Step-by-step explanation:
Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle, Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:
2(5r) + 2(3r) = 16r = 208 in
Then r = 208/16 = 13
Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),
or 65 in and 39 in respectively.
As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.
Then
Answer:
76%
Step-by-step explanation:
5,000 x the princable starting point
2450 is half of the whole
since the simple intrest is 76
fix the decimale point
and your answer is 76%