Answer:
Inverse of a function
Step-by-step explanation:
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.
For example, given the following function:
y = 2x
If x=0 → y= 0
If x=1 → y= 2
If x=2 → y= 4
Now, if we find the inverse of the function:
y = 2x → x = 2y → y = x/2
Now:
If x=0 → y= 0
If x=2 → y= 1
If x=4 → y= 2
Comparing both cases, you will notice that the ordered pairs are effectively interchanged.
Answer:
Length of diagonal is 7.3 yards.
Step-by-step explanation:
Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.
To find: The length of the diagonal of the corral.
Solution: Let the width of the rectangular garden be <em>x</em> yards.
So, the length of the diagonal is 
width of the rectangular corral is 
We know that the square of the diagonal is sum of the squares of the length and width.
So,







Since, side can't be negative.

Now, length of the diagonal is
Hence, length of diagonal is 7.3 yards.
Answer: The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is 0.596
Step-by-step explanation:
Since the weights of catfish are assumed to be normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weights of catfish.
µ = mean weight
σ = standard deviation
From the information given,
µ = 3.2 pounds
σ = 0.8 pound
The probability that a randomly selected catfish will weigh between 3 and 5.4 pounds is is expressed as
P(x ≤ 3 ≤ 5.4)
For x = 3
z = (3 - 3.2)/0.8 = - 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.401
For x = 5.4
z = (5.4 - 3.2)/0.8 = 2.75
Looking at the normal distribution table, the probability corresponding to the z score is 0.997
Therefore,.
P(x ≤ 3 ≤ 5.4) = 0.997 - 0.401 = 0.596
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.
In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.
percent change = (15 - 12)/(12) * 100
percent change = 3/12 * 100
percent change = 25
Since the percent change is positive, +25, it is a percent increase.
Answer: The percent increase is 25%
Answer:
probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.
Step-by-step explanation:
"Find the probability that a student chosen at random from those who play a sport does not watch rugby."
90-15= 75 students either play a sport OR watch rugby
65+71-75=
136-75=
61 people play a sport AND watches rugby
14 people play a sport and DOES NOT watch rugby
is the probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.