Answer: 3 and 12
<u>Step-by-step explanation:</u>
Let x represent one of the numbers and y represent the other number. Then,
Sum: x + y = 15 → y = 15 - x
Product: xy = 36
Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:
x(15 - x) = 36
15x - x² = 36
0 = x² - 15x + 36
0 = (x - 3)(x - 12)
0 = x - 3 and 0 = x - 12
x = 3 x = 12
Answer: The probability that the sum is 11 given that the first cube shows a 6.
Step-by-step explanation:
By the definition of conditional probability,
If we have two probabilities A and B where A and B are dependent variable,
If we have to find the probability of occurring the event A when B is given ,
Then we find P(A/B).
Here A is the event that there is 6 in first die when we rolled two dice,
And, B is the event that the sum of the numbers shown in both die is 11,
Hence, P(A/B) shows, The probability that the sum is 11 given that the first cube shows a 6.
Answer:
answer is 28 hope it helps
Step-by-step explanation:
got 100% on my quiz
The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:
y=4x/5+1 now to rearrange into standard form ax+by=c
y=(4x+5)/5
5y=4x+5
5y-4x=5
So the answer is D.
However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.
5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:
4x-5y=-5
Apparently whomever/whatever posed this question to you was unaware of this convention :P
