What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50
Natalija [7]
Answer:
63.6
Step-by-step explanation:
X=£fx/n
= 88+80+75+70+38+45+70+60+60+50/10
= 636/10
= 63.6
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Answer:
D
Step-by-step explanation:
Integers: a WHOLE number that can be positive, negative or zero
-22 is a negative whole number
Rational number: Any number that can be written as a fraction with integers.
-22/1 can be the fraction
Answer:
17rx2−23rx−71x+75
Step-by-step explanation:
(17x−23)(xr−4)−(3x+17)
=(17x−23)(xr−4)+−1(3x+17)
=(17x−23)(xr−4)+−1(3x)+(−1)(17)
=(17x−23)(xr−4)+−3x+−17
=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)
=17rx2+−23rx+−71x+75
Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
Note: Please note that you might have a faster response if you posted this question in the physics or the (new) Engineering section.
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Answer:
$4600
Step-by-step explanation:
Write an equation to represent the problem.
Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).
Convert a percentage to decimal form by dividing by 100:
2% ÷ 100 => 0.02
7% ÷ 100 => 0.07
9% ÷ 100 => 0.09
let "P" represent the amount of money for the total investment
0.02P + 0.07P + 0.09P = 828
Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).
0.02P + 0.07P + 0.09P = 828 Collect like terms
0.18P = 828 Isolate "P"
0.18P/0.18 = 828/0.18 Divide both sides by 0.18
P = 828/0.18 "P" is isolated because 0.18 cancelled out. Simplify.
P = 4600 Total investment
Therefore the total investment is $4600.
