Answer:
Step-by-step explanation:
First order from smallest to largest.
70.8, 71.9, 72.1, 82.4, 85.3, 98.1.
Median is the middle number/s.
72.1+82.4/2 so The median is 77.25
Range is the largest number minus the smallest number.
85.3-70.8=14.5
Mode is the most repeated number.
Since there are no repeated numbers there is no mode.
Second question:
Again rearrage: 6, 9, 11, 14, 17
In order to make the median 10 you would have to add another 9 becasue
11+9/2 = 10
Third: remove 6 to make 12 the middle number
Fourth: add all numbers 90+x/6=20 so x has to be 30
Social security tax
Medicare tax
Federal income tax depending on income
State income tax depending on state
and tbh there are a lot of deductions to expect
6)
KM bisects on <NKL so m<MKN = m<MKL = 3x + 5
2(m<MKL) + m<JKN = 180
2(3x+5) + 8x + 2 = 180
6x + 10 + 8x + 2 = 180
14x + 12 = 180
14x = 168
x = 12
so
m<MKN = m<MKL = 3x + 5 = 3(12) + 5 = 36 + 5 = 41
answer
b. 41
7)
2 supplementary has sum = 180
x + x + 14 = 180
2x + 14 = 180
2x = 166
x = 83
x + 14 = 83 + 14 = 97
2 angles are 83 and 97
answer
b. 83, 97
The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.
In one hour they can make 1/28 of the manuals.
1/(28*5)=1/140 is the rate.
The new photocopier can make all the manuals in 4/140 or 35 hours.
The old one can make them in 140 hours.