We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
Answer:
8 lb of flounder at $2.50/lb
4 lb of shrimp at $5.00/lb
Step-by-step explanation:
Let A be the pounds of shrimp
Let B be the pounds of flounder
Let C be the cost per pound of flounder
A + B = 12
A = 12 - B
BC = 20
A(2C) = 20
BC = A(2C)
BC = (12 - B)(2C)
BC = 24C - 2BC
3BC = 24C
3B = 24
B = 8 lb
A + 8 = 12
A = 4 lb
Answer:
And rounded up we have that n=385
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The estimated proportion for this case is
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
for solving equations such as this chrome would be the best thing n
The answer will be narrow