For this case we can model the problem as a rectangle triangle.
We have two sides.
We want to find the hypotenuse of the triangle.
We have then:
h = root ((a) ^ 2 + (b) ^ 2)
Substituting values we have:
h = root ((6) ^ 2 + (8) ^ 2)
h = root (36 + 64)
h = root (100)
h = 10
Answer:
If you could walk straight from one school to the other, the 2 schools would be at:
h = 10 blocks
In this case using the elimination method is actually easier, but the question asks you to use substitution method so....
2x+y= -10
3x-y=0
1st equation: It is better to isolate 2x on both sides because the y is going to be positive no matter what, 2x+y=-10 => y=-2x-10
If you isolated 3x for the 2nd equation, the y will be negative, and you have to divide the whole equation by -1 to make it positive
Now we got y=-2x-10, lets substitute it in the 2nd equation and solve for x:
3x-(-2x-10) = 0
5x+10=0
5x=-10
x=-2
Now lets solve for y:
3(-2)-y=0
-6-y=0
y=-6
Lets see if the same is applicable for 1st equation
2(-2)+(-6)=-10
-10=-10
Yess!!
(-2,-6) is the solution
The answer to the question is explained at the beginning
Hope it helps!
Answer:
56.65% probability that more than 3 customers arrive during 15 minutes
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval, which is the same as the variance. The standard deviation is the square root of the variance.
Standard deviation of 2 customers per 15-minutes.
So
What is the probability that more than 3 customers arrive during 15 minutes
Either three or less customers arrive, or more than 3 do. The sum of these probabilities is decimal 1. Mathematically, we have that:
We want P(X > 3). So
In which
56.65% probability that more than 3 customers arrive during 15 minutes
Twenty-four is the total.
So 14/24 would be the probability of a student who got an A to be chosen.
Fraction: 7/12
Percentage: 58.3%
If this helped, please give brainliest!