Answer:
mean: 27.6
median: 32
mode: 35
range: 35
Step-by-step explanation:
Definitions:
mean: average
median: middle
mode: the number that comes up the most
range: the difference between the highest and lowest values/numbers
What to do:
mean: you add up all the numbers and then you divide that sum by the amount of numbers there are (I'm not going to do the work because that's a lot of numbers to type out, but you can check your work with my answer).
~answer is 27.6
median: middle number --> 32
mode: the number that comes up the most --> 35
range: 40-5 = 35
The grocer wants to make a 10 pound mixture
p - pounds of peanuts
c - pounds of cashews
therefore the total pounds should be equal to 10 pounds
p + c = 10 -----> 1)
the cost for ;
peanuts - 4.00 per pound * p pounds = 4p
cashews - 6.50 per pound * c pounds = 6.5c
the price of 10 pounds mixture = 4.75 per pound * 10 pounds = 47.5
4p+6.5c = 47.5 ---> 2)
to solve for p and c lets use simultaneous equations
p + c = 10 -----> 1)
4p+6.5c = 47.5 ---> 2)
multiply 1st equation by 4
4p + 4c = 40 ---> 3)
subtract 3rd equation from the 2nd
2.5c = 7.5
c = 3
substituting c= 3 in 1st equation
p+c = 10
p+3 = 10
p = 7
therefore 3 pounds of cashews and 7 pounds of peanuts are needed to make the mixture
The hypotenuse length is √(4*4 + 3*3) = 5 (not √7 I suppose)
The area is base*half height = 4*3/2 = 6.
In short, I don't think complex numbers really interfere here.
The value in the 10 digits place is 6, because the tenths place is like a centimeter, and the digit in the hundreds place, is 6 again, because it is 10 times greater than the tenths place.
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