First find the length of the hypotenuse using pythagorean theorem
<span>c^2 = 5^2 + 7^2
c^2 = 25 + 49
c^2 = 64
c=8 (take the square root in both sides)
Since sin = opposite/hypotenuse,
sin = 5/8 = 0.625</span>
Answer:
m∠8 = m∠2, option G
Step-by-step explanation:
Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2
Answer:
1-15!
Step-by-step explanation:
Answer:
Only the firsts and fourth choices ( and )
Step-by-step explanation:
Turn the equation into words:
"A number plus 9"
"Multiplied by "
"Is equals to -18"
Distribute to find the second equation:
Answer and Step-by-step explanation: The <u>critical</u> <u>value</u> for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977