Answer:
Step-by-step explanation:
s=3a
t=s+a
t=516
now lets use 3a instead of s.
516=3a+a
516=4a
a=129 (adult)
s=3(129)
s=387 (student)
Answer:
34.01% probability that his score is at least 532.1.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If 1 of the men is randomly selected, find the probability that his score is at least 532.1.
This is 1 subtracted by the pvalue of Z when X = 532.1. So
has a pvalue of 0.6591
1 - 0.6591 = 0.3409
34.01% probability that his score is at least 532.1.
Each of the answers given at the right talks about the fourth month. So let's compare each of the fourth month's profits.
When the month t = 4 in Company B, the company made 10 hundred (or 1000) dollars in profits.
When the month t = 4 in Company A, we evaluate the function at t = 4. To do that we put t = 4 into the function.
P(4) = 1.8(1.4)⁴
P(4) = 6.91488
Thus the company made 691.488 dollars of profit. So during the 4th month, Company B made more than A.
Each of the answers also talks about year end profits, which would be after 12 months. The function for company B is linear whereas it is exponential for A. An exponential function will grow faster in A and have higher maximum values. We can conclude that year end profits for A will be higher.
We put the statements together - that B makes in the 4th month but at year's end A will make more.
Thus, the third box is the best answer.
Answer:
d = 6.324555
Step-by-step explanation:
d=√1−(−1))^2+(3−(−3))^2
d=√(2)^2+(6)^2
d=√4+36
d=√40
d=6.324555
D=Distance*
Percentage is the same as a fraction over 100, where the number 100 represents a 'whole'.
Therefore, if 65% are male, it means if there were 100 runners in total, 65 of them would be male, so your fraction would be 65/100.
However, you can simplify this fraction as both 65 and 100 have common factors. So you keep dividing both numbers by its factors until there are no more common factors left. This will leave you with 13/20.
Therefore your final answer is 13/20.
