Answer:
(0.102, -0.062)
Step-by-step explanation:
sample size in 2018 = n1 = 216
sample size in 2017 = n2 = 200
number of people who went for another degree in 2018 = x1 = 54
number of people who went for another degree in 2017 = x2 = 46
p1 = x1/n1 = 0.25
p2 = x2/n2 = 0.23
At 95% confidence level, z critical = 1.96
now we have to solve for the confidence interval =
<h2>

</h2>

= 0.02 ± 1.96 * 0.042
= 0.02 + 0.082 = <u>0.102</u>
= 0.02 - 0.082 = <u>-0.062</u>
<u>There is 95% confidence that there is a difference that lies between - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>
<u></u>
<u>There is no significant difference between the two.</u>
It is 80. Opposite angles in a parallelogram are equal.
Answer:
2/5
Step-by-step explanation:
Probability is the chance that a certain event occurs out of the total events.
Here, the event of "choosing a blue card". The total events are just "choosing any card".
There are 24 blue cards and 24 + 20 + 16 = 60 cards in total. So, we just take 24 and divide it by 60:
. Simplifying, we get:

Thus, the answer is 2/5.
Hope this helps!
I think the answer is a. because all sides are the same.
1 side = 38
side m = probably 38
Hope this helped☺☺
Answer:
the student solved the equation incorrectly because the original equation has one solution
Step-by-step explanation:
1/8(40x + 16) = 9x − 7(2x − 1) − 5
<em>use the distributive property a(b + c) = ab + ac</em>
(1/8)(40x) + (1/8)(16) = 9x + (-7)(2x) + (-7)(-1)
5x +2 = 9x − 14x + 7 − 5 <em>combine like terms</em>
5x + 2 = (9x - 14x) + (7 - 5)
<em>here the student make mistake 9x - 14x = 5x</em>
5x+2=-5x+2 <em>add 5x to both sides and subtract 2 from both sides</em>
5x + 5x + 2 - 2 = -5x + 5x + 2 - 2
10x = 0 <em>divide both sides by 10</em>
10x/10 = 0/10
x = 0