Answer:
<em>The probability that neither box contains a prize is 0.5625 or 56.25%</em>
Step-by-step explanation:
<u>Independent Events</u>
It's referred as to the case when the probability of success (or failure) of the event A doesn't interfere with the probability of B. In this question we'll assume there are enough boxes of cereal of each type to make the choosing of one of them affect very little the choosing of the other one.
Let's call p=0.25 to the probability of getting a cereal box with a prize, and q=0.75 to the negation of p, i.e. the probability of getting a ceral box without a prize. There are four possible combinations: {pp,pq,qp,qq}. We need to find the probability of the combination qq. We compute it as the product of the individual probabilities

In other words, the probability that neither box contains a prize is 0.5625 or 56.25%
Step-by-step explanation:
it is a line, so that is 1 point, where it cuts the x-axis.
in general that means y = 0.
so,
0 = 4x - 3
4x = 3
x = 3/4
the point, where the line cuts the x-axis is
(3/4, 0)
Answer:
<h3>a) 3/4</h3><h3>b) 4:3</h3>
Step-by-step explanation:
Find the diagram attached.
Given the scale factor of circle A to circle B as 3/4
A:B = 3:4
Total ratio = 3+4 = 7
Area of bigger square A = 45sq. units;
The Total area can be gotten using the expression;
where;
x is the total area of both circles.
Get x;

Area of circle B = 78.75 - 45 = 33.75
Let the fraction required be y
45 * y = 33.75
y = 33.75/45
y = 3375/4500
y = 45/60
y = 3/4
Hence the area of circle B is 45 * <u>3/4</u> of circle A
b)The ratio of circle A to Circle B is expressed as;
Ratio = Area of circle A/Area of circle B
Ratio = 45/33.75
Ratio = 45 * 100/3375
ratio = 4500/3375
Ratio = 4:3
Hence the ratio of circle A to Circle B is 4:3
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