Step-by-step explanation:
(-6x +3y=9 )×4
( 10x+4y)×3
-24x +12y =36
30x+12y= -18
-24x+12y- (30x+12y)= 36-(-18)
-54x = 54
x= -1
by using 10x +4y = -6
apply x= -1
-10+4y= -6
4y= -6 +10
4y=4
y=1
so the answer is x=-1 and y= 1
Yes it’s a rectangle because the diagonals bisect each other, and they are equal in length.
Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15
From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
It is given that,
Sam opened a savings account with a deposit of $50. Every month after that, he deposited $20 more.
It is not a proportional relationship. As initial amount was $50 and every month he deposited $20 more. The ratio is not constant for the deposited amounts.
To make the relationship proportional, he must start with zero balance and then should have deposited $20 every month.
Answer: The answer would be 72/97
Step-by-step explanation: Sin = opposite/hypotenuse. So 72 is opposite angle C and 97 is the hypotenuse (Longest Side).
