Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
40/60
Step-by-step explanation:
Answer:
<h3>39.6</h3>
Step-by-step explanation:
collecting like terms we have:
5x-2x=-1+42
equating the terms..we have:
3x=41
divide both sides by the Co-efficient of x:
3x\3=42\3
x=39.6
Answer:
Normal Distribution
Step-by-step explanation: A normal distribution will generally have a bell shape. It is also called a bell curve, due to its bell shape.
It is also called Gaussian distribution. The point near the peak is where most of the observations cluster, while the values further away from the mean will be distributed equally in both directions on the curve.
Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given


Required
The sequence of hours worked each day
<em>See attachment for options</em>
From the question, we understand that:

This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:

So, we have:
(a)



(d)



Option (a) is true, because it has:

