The density curve must satisfy two important conditions.
These two conditions are:
1- The total area under the density curve MUST BE equal to 1.
(Area total = 1)
2- Every point that is on the curve must have a vertical height that is equal to or greater than zero
(vertical height for each point ≥ zero)<span>
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Answer:
$12.80
Step-by-step explanation:
Sara bought 4 pounds of coffee.
Each pound (lb) costs $3.20
To find the total cost, multiply the cost per pound ($3.20) with the amount of pounds Sara is going to buy (4):
4 x 3.20 = $12.80
$12.80 would be the total cost before tax.
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Answer: The required value of f(3) is 81.
Step-by-step explanation: We are given the following function :

We are to find the value of f(3).
Substituting x = 3 in equation (i), we get

Thus, the required value of f(3) is 81.
Answer:
114 ft
Step-by-step explanation:
Imagine or construct a right triangle with the 46 ft leg lying on the ground. This is the "adjacent side" of the triangle; it lies immediately adjacent to the 68 degree angle. The side opposite this angle is h, the height of the tree.
The tangent function includes angle, opp side and adj side:
tan 68 degrees = opp / adj = h / (46 ft), and so:
(46 ft)*tan (68 degrees) = opp = h
Then the height of the tree is h = (46 ft)(2.47) = 114 ft
Answer: 5.2
Step-by-step explanation:
3*7 = 21
21/5 = 4.2