Answer:
there is a 26 out of 52 of a chance
Step-by-step explanation:
A²+b²=c²
64+b²=196
b²=132
b=11.48912529
Answer:
<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
-
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)
Insert those values into the vertex formula to get:
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Answer:
C) As the amount of snow increases, the number of accidents increases.
Step-by-step explanation:
An image showing the scatter plot is attached.
From the attached imaged, the scatter plot is a straight line which goes up along the X - Y axis.
X = snowfall
Y = accident
Since the scatter plot is going up increasingly for any value plotted; it means as the amount of snow increases, the number of accidents increases. That is, as X (snowfall) increases Y (accident) increases also.