Answer:
mean=86+72+16+42+16+55+16+12+91+55/2
mean=230.5
mode=16-unimodal
median the middle value but in the first arrange in ascending order.
12,16,42,55,72,86 and 91
median=55
hope it helps!
Answer:
D. 
Step-by-step explanation:
Recall: SOH CAH TOA
Thus,
Tan A = Opposite/Adjacent
Reference angle (θ) = A
Length of side Opposite to <A = 15
Length of Adjacent side = 8
Plug in the known values
Answer:
D. 65
Step-by-step explanation:
First, I found the hypotenuse. Using the pythagorean theorum, you would get ≈14.3 as the length of the hypotenuse.
Then, you want to find either the sine, cosine, or tangent of x.
sin(x) = .9091 -- opposite/hypotenuse (13/14.3)
cos(x) = .4196 -- adjacent/hypotenuse (6/14.3)
tan(x) = 2.1667 -- opposite over adjacent (13/6)
Then, choose any one of those (I chose sine) and do its inverse on your calculator.
sin^-1(.9091) = 65.38127....
Rounded to its nearest degree would be 65 degrees.
It seems like a long process but honestly, it's just calculator work. If you have a TI-84, you would press the 2nd button then SIN, COS, or TAN to get the inverse. Don't forget to make sure your calculator is in degree mode!
Log3x - log13 = 2
This is to base 10, because the base was not specified.
log A - log B = log(A/B) law of logarithm
log(3x/13) = 2
By law of logarithm, conversion from logarithm to indices
(3x/13) = 10²
3x/13 = 100
3x = 100*13
x = 1300/3
x = 1300/3 = 433 1/3
