Answer:
The probability that the first card chosen is club and second card chosen is of heart is .
Step-by-step explanation:
Total number of cards in the deck is 52 (total number of cases).
Probability of an event E can be formulated as:

For event A, number of cards of type club = 13 (favorable cases)
So,

For event B, number of cards of type heart = 13 (favorable cases)
So,

It is given that card is replaced before choosing the second card.
These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:


The probability that the first card chosen is club and second card chosen is of heart is
.
Step-by-step explanation:
In trapezoid ABCD, it is given that:
AE = BE & DF = CF
Hence, points E and F are the mid points of the sides AB and CD respectively.
We know that:
In a trapezoid length of the line segment joining the mid points of non parallel sides is equal to one half of the sum of lengths of the parallel sides.

Answer:
50,722 =
50,000
+ 0
+ 700
+ 20
+ 2
Step-by-step explanation:
Answer:
The value of the slope in this equation is 50
The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50
Step-by-step explanation:
To answer this question, we need to compare the given equation with the equation of a straight line graph.
The equation we have is;
c = 50g + 75
comparing this with the equation of a straight line, we have
y = mx + c
where m represents the slope and c is the y-intercept
So comparing both, the slope of the equation is 50.
The slope is always the co-efficient of the value on the x-axis
So what does this mean?
The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.
So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50