The mode is 88. The mode is a number that is most repeated in a pattern, and here it is 88.
Hope this helps!
Answer:
x=2
Step-by-step explanation:
If 3x + y = 7, then y= 7 - 3x.
Substitute in x - 2y = 0
So:
x - 2(7-3x)=0
x-14+6x=0
7x=14
x=2
Answer/Step-by-step explanation:
Recall the acronym, SOHCAHTOA.
✔️Cos X = adj/hyp (CAH)
Adj = 10
Hyp = 26
Cos X = 10/26
Simplify
Cos X = 5/13 (as a fraction)
Cos X = 0.3846 (as a decimal to 4 d.p)
✔️Cos Z = adj/hyp (CAH)
Adj = 24
Hyp = 26
Cos Z = 24/26
Cos Z = 12/13 (as a fraction)
Cos Z = 0.9231 (as a decimal to 4 d.p)
Answer:
66 gallons
Step-by-step explanation:
Given that initially 160 gallons of a solution containing 12% salt.
So, the initial amount of salt = 12% of 160 = 12/100 x 160 = 19.2 gallons.
Let x gallons of water get evaporated so that the remaining solution contains 20% salt.
The remaining amount of solution = 160-x gallons.
As the initial amount of salt is still in the solution which is equal to 20% of the remaining solution, so
19.2 = 20% of (160-x)
gallons
Hence, 66 gallons of water must be evaporated to get a 20% salt solution.
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
