Answer:
a) We can calculate the mean with the following formula:
And replacing we got:
And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.
Step-by-step explanation:
For this case we have the following data:
350, 70, 65, 50, 60
Part a
We can calculate the mean with the following formula:
And replacing we got:
And for the median first we need to order the dataset on increasing way:
50, 60, 65, 70, 350
Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:
Median = 65
Part b
For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.
Answer:
D: c=(ab-d)/a
Step-by-step explanation:
a(b-c)=d
ab-ac=d
ab=ac+d
ab-d=ac
(ab-d)/a=c
PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
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g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
Answer:
? = 30
Step-by-step explanation:
If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.
Set up a proportion.
63/54 = 35/?
63? = 54 * 35
63? = 1890
? = 30
Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)
