each month Kevin klog earns $1250 plus 0.8% of his sales last month his sales totaled $64,500. how much did Kevin earn?
1 answer:
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Answer:
- 30.5 cm
Step-by-step explanation:
<em>Refer to attached</em>
- Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
- 0 <h < 10 >> 1 >> 5 >> 5
- 10 <h < 20 >> 4 >> 15 >> 60
- 20 <h < 30 >> 7 >> 25 >> 175
- 30 <h < 40 >> 2 >> 35 >> 70
- 40 <h < 50 >> 3 >> 45 >> 135
- 50 <h < 60 >> 3 >> 55 >> 165
Sum of frequencies = 20
Sum of frequency x midpoint product = 610
<u>Mean height </u>
- 610/20 = 30.5 cm
slope = - 2, midpoint = (2, - 2 )
the slope m is calculated using the ' gradient formula '
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (4, - 6 ) and (x₂, y₂ ) = (0, 2 )
m = =
= - 2
calculate midpoint using midpoint formula
{ (4 + 0 ),
(- 6 + 2 )] = (2, - 2 )
gradient of perpendicular bisector = - =
equation in slope-intercept form is
y = mx + c ( m is slope and c the y-intercept )
partial equation is y = x + c
to find c substitute ( 2, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 3
y = x - 3 in slope-intercept form
Answer:
a) 1.92
b) 3.25
c) 1.5
d) -5.23
Step-by-step explanation:
We are given the following in the question:
4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3
a) mean of score change
b) standard deviation for this population
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 126.92
c) median change score
Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7
Median =
d) change score that is 2.2 standard deviations below the mean.