Answer:
6 buses are used and the last bus has 48 people on it
Answer: Width will be 10 inches
and height will be 14 inches.
Explanation:
Since we have given that
The are of the triangular display case is 70 sq. in.
Let the width of the base be x
Let the height of the base be 2x-6
As we know the formula for " Area of triangle " i.e.
According to question,
Since width can't be negative so, we take width = 10 inches
And height is given by
Hence, width will be 10 inches
and height will be 14 inches.
Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
Answer:
The value of distance traveled by the beat = 6 miles
Step-by-step explanation:
From Δ ABC
AC = distance between two persons after one hour = 10 miles
AB = Distance traveled by sarah = 8 miles
BC = Distance traveled by beth = x miles
From pythagoras theorm
x = 6 miles
This is the value of distance traveled by the beat.