Answer:
x = 21
Step-by-step explanation:
The following data were obtained from the question:
Set of data => 7, 15, x–1, x+1, 24, 28
Median = 21
x =?
Median is simply defined as the middle term of a given data arranged either in ascending or descending order.
Next, we shall determine the median of the set of data. This can be obtained as follow:
7, 15, x–1, x+1, 24, 28
Median = [(x–1) + (x+1)]/ 2
Finally, we shall determine the value of x as follow:
Median = [(x-1) + (x+1)]/ 2
Median = 21
21 = [(x-1) + (x+1)]/ 2
21 = [x – 1 + x + 1] /2
21 = [x + x – 1 + 1] /2
21 = 2x / 2
21 = x
Thus, x is 21
****Check****
Median = 21
x = 21
Median = [(x–1) + (x+1)] / 2
21 = [(21 – 1) + (21 + 1)] / 2
21 = [20 + 22] / 2
21 = 42/2
21 = 21
4/5 walls÷5/8 gallons=1.28walls/gallon.
The expression in A is equal to:
y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
y = mx + b
where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B:
The slope of the line can be calculated through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
Answer:
Step-by-step explanation:
- Math session = 45 min = 3/4 hr
- French session = 30 min = 1/2 hr
- Number of math sessions = m, total math hours = 3/4m
- Number of French sessions = f, total French hours = 1/2f
<u>Total hours constraint:</u>
<u>Number of session constraint:</u>
<u>So the system is:</u>
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
