This should be quite easy to explain. So the first thing you want to do is multiply them. This isn't to hard if you know your times tables. Don't worry about the decimal till the end.
15.37
× 5
---------
76.85
15.37 times 5 is 76.85
Now on to the decimal. All you need to do is move it two times to the left. You see how it's in between the 5 and 3? The same goes for your answer. So it is 76.85
I hope this helped!! ^^ I can make this a little more easier to explain if you want me to just in case, ok?
Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°

Expected value = Sum of Probability * Cost of each ice cream.
Expected value
= 50%* $1.20 + 30%* $2.00 + 2<span>0%* $3.50
</span>
= 0.50* $1.20 + 0.30* $2.00 + 0.2<span>0* $3.50
</span>
= $1.90
Expected value of the cost of one ice cream = $1.90
7 9/12 = 7.75
2 11/12 = 2.917
So we can round both of these up.
7.75 rounds to 8
2.917 rounds to 3
8 + 3 = 11
So the estimated sum is 11.
7 9/12 + 2 11/12 = 10 2/3
So the actual sum is 10 2/3.
The estimated sum is a pretty good estimate to the original number.