Answer:
Frue
Step-by-step explanation:
Since she already spent $8 for 2 pounds of the ground coffee, she now has $12 left so then she can only buy only 1 pound of gourmet coffee since she will only have $4 left after buying the first pound.
Answer:
Answer explained below
Step-by-step explanation:
(a)
Simulate the rolling of two dice 10,000 times D1 and D2 are the 10,000 results of roll of dice 1 and dice 2.
D1 = sample(c(1:6), 10000, replace = TRUE)
D2 = sample(c(1:6), 10000, replace = TRUE)
Sum = D1 + D2
(b)
The event A, the dice add up to a perfect square (4 or 9).
A = Sum[Sum == 4 | Sum ==9]
Proportion of A, P(A) = 0.189
length(A) / length(Sum)
(c)
The event B, the dice add up to an even number.
B = Sum[Sum %% 2 == 0]
Proportion of B, P(B) = 0.5049
length(B) / length(Sum)
(d)
The rolls are in A ∩ B (common to both A and B)
> intersect(A,B)
[1] 4
The proportion that are in A ∩ B is 0.0792
length(Sum[Sum == 4]) / length(Sum)
P(A) * P(B) = 0.189 * 0.5049 = 0.0954
The proportion in A multiplied by the proportion that are in B is not equal to P(A ∩ B)
(e)
Of the rolls in which B occurs, the proportion of those rolls are also in A is 0.4190476
length(Sum[Sum == 4]) / length(A)
This proportion is greater than the P(A) calculated in part (b).
Answer: She uses more than 2 cups of water per day.
Step-by-step explanation:
It takes 2 minutes to brush your teeth and if you times that by 3 you get 6 so she spends 6 minuntes per day brushing her teeth and water runs fast. so if your leaving the water on for 6 mintues your filling up much more than 2 cups
A. The ratio of lynx to mountain lions to wolverines is 2:3:1.
Thus, there are 2 lynx in the ratio. If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.
Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.
b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem. Thus, the multiplier is 5, because 15/3=5.
Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.
c. There is one wolverine in the ratio, but there are 10 wolverines in the problem. Thus, the multiplier is 10, because 10/1 = 10
Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.
d. The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x.
2x + 3x + 1x = 30
This equation means that the total number of animals together is 30, which is true. Now let's simplify by combining like terms.
6x = 30
Finally, we can simplify by dividing both sides by the coefficient of x, or 6.
x = 5
Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.
Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines
Hope this helps! :)
