For perfect solution we need to have :- 8 colves in 500ml solution
500 ml has 8 cloves
1 ml has 8 / 500 cloves
100ml has 8 / 500 * 100 = 8/5 = 1.6 cloves
Raphael's mixture
900 ml has 12 cloves
1 ml has 12 / 900 cloves
100 ml has 12 / 900 * 100 = 12 / 9 = 1.33 cloves
so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution so it is not garlicky enough. ( option B)
Answer:
Binomial; \mu p=87.5, \sigma p=7.542
Step-by-step explanation:
- a distribution is said be a binomial distribution iff
- The probability of success of that event( let it be p) is same for every trial
- each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
- there are fixed number of trials (n)
- the trials are independent
- here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
- the probability of success(0.35) is same for every trial
(35/100=0.35 is the required p here)
[since, the formula for
]
[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}
- therefore, it is Binomial; \mu p=87.5, \sigma p=7.542
Answer:
50 divided by 8 is the best estimation. gives you 6.25
Elimination:
3x - 9y = 3
6x - 3y = -24
3x - 9y = 3
18x - 9y = -72
(subtract)
-15x = 75
÷ -15
x = -5
(3 × -5) - 9y = 3
-15 - 9y = 3
+ 15
-9y = 18
÷ -9
y = -2
Substitution:
6x - 3y = -24
+ 3y
6x = -24 + 3y
÷ 6
x = 4 + 0.5y
3(4 + 0.5y) - 9y = 3
12 + 1.5y - 9y = 3
12 - 7.5y = 3
- 12
-7.5y = -9
÷ -7.5
y = 1.2
x = 4 + (0.5 × 1.2)
x = 4 + 0.6
x = 4.6
So this one didn't fail as much, but I got different numbers. If you have to give in values, I'd give in the values from the elimination because I don't trust myself when it comes to the substitution