Solution:
Number of times a die is rolled = 20
1 - 3=A
2 - 5=B
3 - 4=C
4 - 2=D
5 - 3=E
6 - 3=F
Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times
= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes
= 6! × [ 3! × 5! × 4!×2!×3!×3!]
= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]
= 895795200 Ways
at maximum. dt/dh=0
if you differentiate you will get
-32t=-100
t=3.125
Answer:
republicans
Step-by-step explanation:
Given, there are 60% democrats and republicans 40%
60% of the democrats voted for democrats and 95% of the republican voted for their candidate
therefore
% of votes that went for Democrats =0.6*0.6=0.36
= 36%
% of votes that went for Republics=0.4*0.95=0.38
= 38%
Since the republicans have more % of votes thus Republic's mayor runs city hall.
When you multipy 1.229 x 15 your answer is 18.435. Rounding to the nearest cent will only include 2 numbers after the decimal. Looking at 18.435, the last number, 5 will round your answer to 18.44
Ab + 2a + 5b + 10
= a(b + 2) + 5(b + 2)
= (b + 2) (a + 5)
