A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?
1 answer:
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Answer:
1
2
3
Step-by-step explanation:
Generally when two fair 6-sided dice is rolled the doubles are
(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)
The total outcome of doubles is N = 6
The total outcome of the rolling the two fair 6-sided dice is
n = 36
Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as
Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is
(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)
Looking at this outcome we see that there are two doubles present
So
The conditional probability that doubles were rolled is mathematically represented as
Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30
And the number of outcomes that at least one die is a 1 is W = 10
So
The conditional probability that at least one die is a 1 is mathematically represented as
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Answer:
The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
Step-by-step explanation:
* Lets explain how to solve it
- Decreasing function means a function with a graph that moves
downward as it is followed from left to right.
- For example, any line with a negative slope is decreasing function
- Lets look to the attached graph to understand the meaning of the
decreasing function
∵ f(x) = IxI ⇒ green graph
∵ g(x) = Ix + 1I - 7 ⇒ purple graph
- From the graph f(x) translated 1 unit to the left and 7 units down to
form g(x)
- The domains of f(x) and g(x) are all real numbers {x : x ∈ R}
- The range of f(x) is {y : y ≥ 0}
- The range of g(x) is {y : y ≥ -7}
# For f(x)
- The slope of the green line from (-∞ , 0) is negative
- The slope of the green line from (0 , ∞) is positive
# For g(x)
- The slope of the purple line from (-∞ , -1) is negative
- The slope of the purple line from (-1 , ∞) is positive
∵ The line with negative slope represent decreasing function
∴ The interval of the decreasing function is (-∞ , -1) ⇒ g(x)
∴ The interval of the decreasing function is (-∞ , 0) ⇒ f(x)
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The parameters are α = 3, θ = 0.5
The cost of making a unit on the first day is c = $2
The selling price of a unit on the first day is s = $5
The selling price of a leftover unit on the second day is v = $ 1
Generally the profit of a unit on the first day is
The profit of a unit on the second day is
=>
Generally the probability of making profit greater than $ 1 is mathematically represented as
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Now from the gamma distribution table we have that
Generally the probability of making profit less than or equal to $ 1 is mathematically represented as
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So the probability of making $3 is
and the probability of making -$1 is
Generally the value of profit per day is mathematically represented as
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