Answer:
We have 8 liters of 54% alcohol.
We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.
54 * 8 + 66 x = 65 (8 + x)
432 + 66x = 520 + 65x
x = 88 liters
Step-by-step explanation:
Equally divide 56 into 2 halves. 28 liters. 28 liters for muffins and 28 liters for cakes.
(muffins require 7 liters) 28÷7= 4
(cakes require 4 liters) 28÷4=7
x= 4 batches of muffins
y= 7 batches of cakes.

- The name of the circle is <u>IJKL</u>
- The name of central Angle

- The name of the secant = <u>KL</u>
Circle :- It is a round figures, which has no end points.
Central angle :- It the angle ,which lie in the middle of the circle.
- Here, H is the mid point of the circle .So, Angle IHJ is the central angle.
Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
- Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

- Semicircle = FGH and FIH
- Minor Arc :- FG or GH
- Major Arc :- FHG or GFH
Semicircle :- Semicircle is nothing but the half of the circle.
<u>Here</u><u>, </u><u>In </u><u>second </u><u>diagram </u>
- FGH and FIH are acting as two semicircles which simulatineously forming one circle.
Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
<u>Here</u><u>, </u>
- FG or GH are the minor arc of the given circle.
Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
<u>Here</u><u>, </u>
- FHG or GFH is the major arc as it is larger than the semicircle of the given circle .
Answer:
Step-by-step explanation:
Given
there are 50 winning number out of which 40 get $ 100 each and 10 wins $ 1000 .
let x denotes the winning from a randomly selected ticket


Expected value is given by


and Expected return is given by


Answer:
10.45?
Step-by-step explanation: