Answer:
1 1/6
Step-by-step explanation:
10/12 = 5/6
1/3 = 2/6
2/6 + 5/6 = 7/6
7/6 = 1 1/6
So how many does he have left
25-16=9
9 floors left
the want a percentage so 9 out of 25
percent is out of 100
a hack for this specific problem is that 25 is exactly 1/4 of 100 so
9/25 times 1=the same thing so
9/25 times 4/4 (simplifies to 1)=(9 times 4)/(25 times 4)
36/100
this is out of 100 so
36%
of course there is a legit way of solving this problem but this is a hack (this works for factors of 100 like 2,4,5,10,20,25,50)
Answer:
The probability is 1/254,251,200
Step-by-step explanation:
We proceed as follows;
Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways
Now, out of this number of ways , only one route is desired in that particular order.
This means the probability of having the route scheduled in that particular order would be;
1/254,251,200
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value =
=
= 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E =
× SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130