The probability of a student that earned an A on the test is 7/12.
To get a fraction like this, you put the number of students on the left, or the top and the number of students total on the right, or bottom. Then, you simplify your answer. This brings us to 7/12. You cannot simplify any further because the fraction includes a prime number.
I hope this helps!
Your speed is 3.9 miles per hour
Answer:
A)85
Step-by-step explanation:
Calculation for the resulting tracking signal
Using this formula
Tracking signal= Last forecast error statistics (RSFE) /Low MAD (Mean Absolute Deviation)
Let plug in the formula
Tracking signal=34/0.4
Tracking signal=85
Therefore the resulting tracking signal will be 85
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
