Answer:
The 99% confidence interval = (126.93,157.67)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × Standard deviation /√n
Mean = 142. 3 mmHg
Standard deviation = 20.8 mmHg.
n = 12
Z score for 99% confidence interval = 2.56
Confidence Interval =
142.3 ± 2.56 × 20.8/√12
142.3 ± 2.56 × 6.0044427996
142.3 ± 15.371373567
Confidence Interval
= 142.3 - 15.371373567
= 126.92862643
≈ 126.93
142.3 + 15.371373567
= 157.67137357
≈ 157.67
Therefore, the 99% confidence interval = (126.93,157.67)
Answer:
43.2 degrees
Step-by-step explanation:
1. First, find the total number of people who were surveyed.
165+135+60+130+10=500
2. Next, figure out how many the Marine Corps is out of those 500 people.
60/500= 0.12 =12%
3. Last, find out what degree the 12% would take up.
We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:
0.12*360=43.2
So, the answer is 43.2 degrees
Answer:
the answer is a- 60
Step-by-step explanation:
A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Given:
The complex number is:

To find:
The argument of the given complex number.
Solution:
If a complex number is
, then the argument of the complex number is:

We have,

Here,
and
. So, the argument of the given complex number is:




Therefore, the argument of the given complex number is
.
Answer:
1. 9x^2-60x+100
6. 225y^2-90y+9
7. q^2-4r^2
9. u^2-25
10. x^3+6x^2+12x+8
2. 144a^2z^2-264abz+121b^2
3. 9b^4-4v^2
4. 8v^3+36^2w+54vw^2+27w^3
5. -16t^2y+64y^3+3362t+6724y
Step-by-step explanation:
There you go