Answer:
9.5 gallons
Step-by-step explanation:
12.7 x .75
multiplying by .75 is the easiest way to get 3/4 of something
Answer:
A : D
4 : 3
Step-by-step explanation:
We'll use the first letter of their names as the heading for the ratio.
The first line states:
A : B
2 : 1
The second line states:
B : C
1/3 : 1
The third line states:
C : D
2 : 1
We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.
Let's look at the ratio with a fraction first.
B : C
1/3 : 1
If we ×3 throughout, this can also be written as:
B : C
1 : 3
Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:
A : B : C
2 : 1 : 3
In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.
C : D
2 : 1
6 : 3
A : B : C
2 : 1 : 3
4 : 2 : 6
We can see that our ratio for C is the same number and we can now combine the ratios.
A : B : C : D
4 : 2 : 6 : 3
The question asked for A : D so we can take just the values of A and D.
A : D
4 : 3
I hope this helps :)
You're looking for the extreme values of 
subject to the constraint 
.
The target function has partial derivatives (set equal to 0)
so there is only one critical point at 
. But this point does not fall in the region . There are no extreme values in the region of interest, so we check the boundary.
Parameterize the boundary of by
with 
. Then 
can be considered a function of 
alone:
has critical points where 
:
but 
for all , so this case yields nothing important.
At these critical points, we have temperatures of
so the plate is hottest at (1, 0) with a temperature of 14 (degrees?) and coldest at (-1, 0) with a temp of -12.
Mean = (89 + 90 + 87 + 95 + 86 + 81 + 102 + 105 + 83 + 88 + 91 + 79)/12 = 1,076/12 = 89.67
a.) 95% C.I. = 89.67 + or - 1.96(0.23) = 89.67 + or - 0.4508 = 89.22 to 90.12
b.) 99% C. I = 89.67 + or - 2.575(0.23) = 89.67 + or - 0.5923 = 89.08 to 90.26
Answer:
C. 70/5
Step-by-step explanation:
Since there are 5 people in total and 70 pieces of candy. To find how much candy each person gets we can do 70/5.
