Let's say you're renting a boat
Let h = number of hours you rent the boat
if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars
Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.
Answer:
We need a sample of at least 752 students.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large of a sample must she have to get a margin of error less than 0.03
We need a sample of at least n students.
n is found when M = 0.03.
We have no information about the true proportion, so we use 
.
Rounding up
We need a sample of at least 752 students.
Answer:
j = 44/3
Step-by-step explanation:
j varies jointly as g and v. This can be represented mathematically as:
.............(1)
Where k is a constant of proportionality
j = 2 when g = 4 and v = 3
Substitute these values into equation (1)
2 = k * 4 * 3
2 = 12 k
k = 1/6
when g = 8 and v = 11:
j = (1/6) * 8 * 11
j = 44/3
0.25 or 1/4 as 2^-3 is 1/8 so 2*1/8 = 2/8 = 1/4
Answer:
30° ; 35°
Step-by-step explanation:
Recall:
Sum of angles in a triangle = 180°
One of the 3 angles = 115
The sum of the other 2 Angles will be :
(180 - 115) = 65°
The other two angles are in the ratio 6:7
Hence,
Each of the two angles can be calculated thus :
Angle 2 :
Sum of ratio = 6 + 7 = 13
(6 / 13) * 65 = 30°
Second angle :
(7 / 13) * 65 = 35°
