For the answer to the two questions above,
3x + 2y = 36.50 (I)
2x + 5y = 50 (II)
Eliminating x from the two equations by subtraction:
first we multiply equation I by 2 and equation II by 3
6x + 4y = 73
6x + 15y = 150
Subtracting the two,
-11y = -77
y = 7
He earns $7 at the coffee cart
Substituting y into equation I,
3x + 14 = 36.5
x = $7.50
So we can conclude that, he earns a greater wage of $7.50 at the library,
Answer:
270 cm^2
Step-by-step explanation:
This is quite easy.
There is formula for it, the formula is bh/2
b= is the base or side that the triangle's altitude or height is perpendicular to.
h= is the height of the triangle or the altitude of the triangle.
I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.
b= 30
h=18
Now substitute the values in the formula
30(18)/2
30 times 18 = 540
divide the product by 2
540/2 = 270
Answer:

Step-by-step explanation:
you can also replace the plus sign and put ±
hope this helps and is right :)
Answer:
3 1/2
Step-by-step explanation:
if you multiply 4 and 3 you 12 if you multiply 1/2 times 3 you get 1 1/2 and 1 1/2 + 12 = 13 1/2 and then you have to find a fraction that when multiplied by 4 1/2 you get 2 1/4 and 4 1/2 × 1/2 = 2 1/4 so 2 1/4 + 13 1/2 = 15 3/4
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
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.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that 
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.