<h3>
Answer:</h3>
B. 3x +y = 4
<h3>
Step-by-step explanation:</h3>
It is perhaps easiest to simply try the equations to see which one works.
For x=0, there are two different kinds of answers:
... A and C: -y = 4
... B and D: y = 4
Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.
___
Using the point (1, 1), you can try choices B and D to see which works:
... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)
... D: -3·1 +1 = -2 = 4 . . . . false
The appropriate choice is the equation of B: 3x +y = 4.
_____
<em>Derive the equation from the given points</em>
There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.
The slope (m) is ...
... m = (change in y)/(change in x) = (4 -1)/(0 -1)
... m = -3
We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...
... y = mx +b
... y = -3x +4
Adding 3x puts this in standard form:
... 3x +y = 4
(2x-y)+(3y-x) = 2y+X = 25
25 = 2:1 = 2Y:X
25/3 = 25/3
25/3 * 2 = 50/3 = 2y
x = 25/3
y = 25/3
Hope this helps! :)
Answer:
Mean = 20
Variance = 16
Step-by-step explanation:
Solution:-
- Let X be the number of customers paying with a debit card. X has the binomial distribution with n = 100 trials and success probability p = 0.2
- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:
P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)
for values of x = 0, 1, 2, ..., n
P[X = x] = 0 for any other value of x.
- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.
- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.
X ~ Binomial( n = 100 , p = 0.2 )
- The mean of the binomial distribution is n * p = 20
- The variance of the binomial distribution is n * p * (1 - p) = 16
Hi - if you could provide a diagram, i could definitely help you!
Est Answer: say the numbers<span> are x and y......and y being the bigger </span>number<span> ... </span>If<span> the </span>ratio<span> is 5:3, then </span>difference<span> between </span>ratio<span> = 5-3 = 2 ... Substituting this x = 5y/3 in equation x-y=</span>18<span> we </span>get<span> ... therefore x = 5 * 27/</span>3 = 5<span>*9 = 45 .... One </span>number<span> is 5 more than another. </span>their<span> sum is 53 what are the </span>two numbers<span>?</span>
