Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using: 
= 
= 
From the table lets get Mary's time:
= 
Another data: 
=
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.
I think they all apply (tick all the statements) since a rigid transformation doesn’t affect the shape of the triangle simply it’s position.
1.The isosceles triangle has sides of length 14, y, y
2. According to the "triangle inequality" :
y+y>14
2y>14
y>14/2=7
(y is greater than 7)
3. Remark, check the figures:
the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2
In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.
Well, let us solve this step by step.
We know that Michelle earns 349 plus 3% of the Purchase
price. Let us call the Purchase price as P, so that:
Earnings, E = 349 + 0.03 P
So if she earns 8,965 (E = 8,965) so we can find P:
8,965 = 349 + 0.03 P
0.03 P = 8,616
P = $287,200
In your problem:
p = 18.3% = 0.183
n = 130
The standard error can be calculated by the formula:
SE = √[p · (1 - p) / n]
= √[0.183 · (1 - 0.183) / 130]
= 0.0339
The standard error of the proportion is 0.034.
