Answer:
48
Step-by-step explanation:
You are solving for the mean of the data set. To do so, add all the numbers together, and <em>divide by the amount of numbers in the set</em>.
Note that there are 4 numbers given to you: 38, 40 , 53, 61.
First, add the 4 numbers together:
38 + 40 + 53 + 61 = 192
Next, divide 4 from the total gotten:
192/4 = 48
48 is the mean of the data set.
~
Answer:
16/33
Step-by-step explanation:
12C4(total possible outcomes)=495
Since there are 6 married couples there must be 6*[2C2×10C2]=270
must subtracted 15 since when there are 2 couples in a group would have doubled 270-15=255
the no of groupings with no married couples 495-255 =240
probability=no of favourable outcomes /no of possible outcome
probability=240/495= 16/33
Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where, 
and 
, 
is called the argument of z, 
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5. lies in 4th quadrant.
![[\because \text{In 4th quadrant }\theta=2\pi-\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctext%7BIn%204th%20quadrant%20%7D%5Ctheta%3D2%5Cpi-%5Ctheta%5D)
So, the trigonometric form is
Step-by-step explanation:
<u>Given</u><u>:</u>
Central Enlargement.
AC=4
AB=5
BC=3
Opp=3
Hyp=5
<u>Required</u><u>:</u>
Sin<A
<u>Formula</u><u>:</u>
Sin<A=Opp/hyp
<u>Solution</u><u>:</u>
Sin<A=Opp/Hyp
Sin<A=3/5 or 0.6
Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120
120 possiblites
answer is C
