Answer:
Hydrostatic Force = 14952.35N
Step-by-step explanation:
From the question, we are given;
Diameter of hemispherical plate = 6 ft
Height of submergence = 2ft
Weight density of water = 62.5 lb/ft³
Now, if we assume that the hemispherical plate is residing on x and y axis, then bottom of the plate is on x-axis while the left side of the plate touches the y-axis
Now, the plate is defined by the upper half of the circle as;
(x - 3)² + (y-0)² = 3²
(x - 3)² + y² = 9
Thus, y² = 9 - (x - 3)²
y = √(9 - (x - 3)²)
To solve this, hydro static force on one side of plate is given as;
F = ∫ ρgd•xw(x)δx =
2∫ρgx√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 62.5•9.8•2∫x√(9 - (x - 3)²)δx at boundary of 3 and 0
F = 1225[(27π/4) - 9]
F = 1225 x 12.206 = 14952.35N
Answer:
$13.60 in change
Step-by-step explanation:
2.5 lbs x $1.00 = $2.50 for pears
1.3 lbs x $3.00 = $3.90 for apples
$2.50 + $3.90 = $6.40 paid total
$20.00 - $6.40 = $13.60 change
If Racle jogged 0.5 of a mile 8 times that means that your doing 0.5 x
8=4.
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!