Answer:
300
Step-by-step explanation:
Let x represent the number of adults in the zoo at 12 pm. Then the number of children at that time is 855 -x.
The number of remaining children is 1/5 of the number at 12 pm, so is ...
(855 -x)/5
The number of remaining adults is 1/4 of the number at 12 pm, so is ...
x/4
There are 36 more remaining children, so we have ...
(855 -x)/5 -x/4 = 36
171 -9x/20 = 36 . . . . . collect terms
135 = 9x/20 . . . . . . . . add (9/20)x-36
(20/9)(135) = x = 300 . . . . . multiply by 20/9
There were 300 adults in the zoo at 12 pm.
............................
Answer:
y = 5x - 7
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-12 - 3) / (-1 - 2)
= (-12 - 3) / (-1 - 2)
= -15 / -3
m = 5
y-intercept using slope above and anyone point, let's use (-1, -12):
y = mx + b
-12 = 5(-1) + b
-12 = -5 + b
b = -7
Equation of line using m and b from above:
y = mx + b
y = 5x - 7
Answer:
The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Step-by-step explanation:
The prices are given to be : 59, 60, 65, 99, 175
Standard deviation = $49
Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.
But, we add a new price in the given data that is $450
Hence, Standard deviation is calculated to be 139.5
Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
