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
Answer:
a = 60
b = 90
c = 150
Step-by-step explanation:
Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.
Unde k este constantă de proporționalitate
a ∝ 2
a = 2k
b ∝ 3
b = 3k
c ∝ 5
c = 5k
Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c
= 2k + 3k + 5k / 3 = 100
= 10k / 3 = 100
Cross Multiply
= 10k = 3 × 100
= 10k = 300
Împărțiți ambele părți la 10
k = 300/10
k = 30
Pentru numărul a
a = 2k
a = 2 × 30
a = 60
Pentru numărul b
b = 3k
b = 3 × 30
b = 90
Pentru numărul c
c = 5k
c = 5 × 30
c = 150
Prin urmare, a = 60, b = 90, c = 150
Answer:
-5v+4
Step-by-step explanation:
Remove the parentheses and combine the like terms:
-2v + (-4) + 8 + (-3v)
-2v -4 + 8 -3v [Remove parentheses]
-5v +4 [Combine like terms]
<u>-5v +4 </u>
Answer:
Range: (844.9,1333.7)
A brain volume of 1348.3 cm cubed can be considered significantly high.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1083.9 cm cubed
Standard Deviation, σ = 122.2 cm cubed
Range rule thumb:
- This rule state that the the range of data is four times the standard deviation of the data.
Upper Limit:
Lower limit:
Since, 1348.3 does not lie in the range (844.9,1333.7), a brain volume of 1348.3 cm cubed can be considered significantly high.
