Step-by-step explanation:
Morning is 4 hr 15 min
afternoon is 4 hour 15 min
together is 8 hour 30 min
8.5*14 = 119 dollars
1. B
Adding a constant offset to the data does not change its variance. Scaling it, or applying a non-linear function will change the variance.
2. A
For a given number on the 3rd die, the first two dice can match it 11 ways, or have two numbers that match in 5 additional ways. Thus probability of 2 or more numbers being the same is 6*16/216 = 4/9.
An outlier is a datapoint outside of the first or third quartile +/- 1.5 the inter quartile range
25 33 39 40 41 41 45 46 48 49 51 52 67 73 79
46 is at the center-> median
everything left of it:
25 33 39 40 41 41 45
40 at center=Q1
right of Q2:
48 49 51 52 67 73 79
52 at center=Q3
IQR=Q3-Q1=52-40=12
Q1-1.5*IQR=40-1.5*12=40-18=22
Q3+1.5*IQR=52+1.5*12=52+18=60
so everything <22 or >60 are outliers
so 67,73 and 79 are outliers
I got 110 because 35+35=70 and 180-70=110. I added 35 to 35 because it says that AB=AD, so they should make congruent angles. So add the 35+35 and work from there.
Answer:
121 degrees
Step-by-step explanation:
The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).
Here r = 18 ft and s = 38 ft, and so:
38 ft
s = rФ becomes Ф = ------------ = 2.111 radians
18 ft
which, in degrees, is:
2.111 rad 180 deg
------------- * --------------- = 121 degrees, to the nearest degree
1 3.142
