Answer:
So we must create 4-digit numbers with the 5 odd digits in the image.
First, a number is only divisible by 5 if the last digit is 0 or 5, and we only can use the last digit equal to 5 (because 0 is not in the image).
if each odd number can be used only once, we have:
Now, for the other 3 digits we have 4 options.
So for the first one we have 4 options,
for the second we have 3 options (because one is already taken)
for the last one we have only 2 options
then the number of combinations is:
C = 4*3*2 = 24.
If the numbers can be repeated (for example, 5555 is allowed, then)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third we also have 5 options, then we have a total of:
C = 5*5*5 = 25*5 = 125 combinations.
Answer: x=45
Step-by-step explanation:
2x+6=96
2x=90
x=45
Answer: The maximum = 3 tons
Step-by-step explanation:
The cost function C(x) = x + 5x + 7
P(×) = 13x - x^2 - 5x -7
If x <3
P= x^2 +8x -7
Differentiating to get x
dp/dx = -2x + 8
X= 8/2
C=4
Maximum will be 3 tons
When x=3
P= 13x - x^2 -5x +7 -3x + 9
When x>3
dp/dx = x^2+5x +2
X = 5/2 = 2.5
Answer:
the answer: x+2x=18
Step-by-step explanation:
Answer:
1) 1.4%
2) 8.3%
3) 20.8%
Step-by-step explanation:
Alrighty! You are looking at some compound probability problems.
The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.
Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."
1) Flipping head, rolling a 5, and rolling a 2
P(flipping heads) = 1/2
p(rolling a 5) = 1/6
p(rolling a 2) = 1/6
so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%
2) Flipping tails, rolling an odd number, and rolling a 4
p(flipping tails) = 1/2
p(rolling an odd number) = 3/6
p(rolling a 4) = 1/6
so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%
3) Flipping head, not rolling a 2, and rolling an even number
p(flipping heads) = 1/2
p(not rolling a 2) = 5/6
p(rolling and even number) = 3/6
so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%
