Answer:
Combination
Step-by-step explanation:
Here by 10C7 we actually mean, 
And the formula for evaluating mCn is
Therefore
10C7 =
Where m! is called m factorial and can be evaluated as
m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1
Hence
10!= 10*9*8......*3*2*1
7!= 7*8*6.....3*2*1
3!=3*2*1
With these we can evaluate
10C7
Hence the answer is D
Answer:
Mode = 81, Median = 81 and Range = 39.
Step-by-step explanation:
The mode is the most occurring value which is 81.
The median is also 81. There are a total of 19 numbers arranged in ascending order so the median is the 10th number.
The range is the highest - lowest number = 100 - 61 = 39.
Answer:
x = 10
Step-by-step explanation:
<u>Complementary angles mean 90 degree angle.</u>
Angle P + Angle Q = 90°
Angle P ---> 29°
Angle Q --> 6x + 1
<u>Find x</u>
Angle P + Angle Q = 90°
29 + 6x + 1 = 90°
30 + 6x = 90
6x = 90-30
6x = 60
x = 60/6
x = 10
Therefore, the value of x = 10.
Angle Q = 6x + 10 --> 6(10) + 1 --> 61°
There is only 1 remaining side
We have 2 sides and an included angle, we use the Law of Cosines to solve the third side:
c^2 = a^2 + b^2 -2ab *cos(C)
c^2 = .5^2 + .333333333...^2 - 2 * .5 * .3333333... * cos (95)
c^2 = .25 + .1111111111111111... -2*.5*.3333333333...* -0.087156
c^2 = 0.3611111111 + 0.029052
c^2 = 0.3901631111
c = 0.6246303796
Answer: About 5.8 mph.
Step-by-step explanation: Divide 26.2 by 4.5 and it’ll give you 5.82222222... round to the nearest tenth and you get 5.8
