Answer:

If you compare this to
, then
and
.
Step-by-step explanation:
We are given
and we are asked to find the value of
.
So we will need to find
.

Square both sides:

Expand using identity:
.



Let's go back to the full
.




If you compare this to
, then
and
.
For this problem, the confidence interval is the one we are looking
for. Since the confidence level is not given, we assume that it is 95%.
The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n
Where:
<span>
</span>
α= 5%
α/2
= 2.5%
t
0.025, 19 = 2.093 (check t table)
n
= 20
df
= n – 1 = 20 – 1 = 19
So plugging in our values:
8.41 ± 2.093 * 0.77 √ 1 + 1/20
= 8.41 ± 2.093 * 0.77 (1.0247)
= 8.41 ± 2.093 * 0.789019
= 8.41 ± 1.65141676
<span>= 6.7586 < x < 10.0614</span>
Answer:
question
Step-by-step explanation:
what was the question? <3
THEOREM:
- <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
- x² = 12² + 9²
- x² = 144 + 81
- x² = 225
- x = √225
- x = 15 units.
So, <u>Correct choice</u> - [C] 15 units.
Hello :
(3, 13) <span>pair - solution because when x=3 y = 5(3)-2 = 13</span>