We have that Probability of having 5 is
From the Question we are told that
The probability that 5 will come up at least once
Generally the equation for the is mathematically given as
The sample space is
n=12
Therefore Probability of having 5 is

For more information on this visit
brainly.com/question/11234923?referrer=searchResults
9514 1404 393
Answer:
(a) 22 is not the correct value of h
(b) 164 ft²
(c) $2009
Step-by-step explanation:
(a) Apparently, the formula ...
A = 1/2bh
was used. We recognize the base of the triangle is 16 feet, so apparently the formula was used with h=22.
22 is the side length, not the perpendicular distance from the base to the opposite vertex.
The computed value is not the area because 22 is not the height.
__
(b) Given three side lengths, an appropriate formula is Heron's formula:
s = (a+b+c)/2 and A = √(s(s-a)(s-b)(s-c))
Here, we have ...
s = (22 +22 +16)/2 = 30 and A = √(30(8)(8)(14) = 16√105 ≈ 163.95
The area is about 164 square feet.
__
(c) At $12.25 per square foot, the cost of materials will be ...
(164 ft²)($12.25/ft²) = $2009
The negative in front has a variable of one since there can't just be a negative and so a negative times a negative is a positive so it's 15
Answer;
dy/dx = - or + 4 and y = 8
Explanation;
x² + y² = 100
when y = 8
Then, x² + 8² = 100
thus; x² = 100 - 64 = 36
x² = 36
therefore; x = + 6 or -6
2x (dx/dt) + 2y (dy/dt) = 0
x(dx/dt) + y (dy/dt) =0
When dy/dt = 3
= (- or + 6) dx/dt + 8 (3) = 0
thus; dx/dt = - 8 (3/6)
= + or - 4.
Answer; y = 8 and dx/dy = - or + 4
The answer to the problem is 13!