Answer:
4^2
Step-by-step explanation:
you subtract the powers from bottom and top
Answer:
The correct answer is 2.2.
Step-by-step explanation:
The following represents the probability distribution for the daily demand of microcomputers at a local store:
Demand Probability
f(0)= .1
f(1)= .2
f(2)= .3
f(3)= .2
f(4)= .2.
Expectation of a discrete probability function f of the random variable x is given by ∑ x × f(x).
Thus the expected value of demand is given by
0.1 × 0 + 0.2 × 1 + 0.3 × 2 + 0.2 × 3 + 0.2 × 4 = 2.2.
The expected daily demand is 2.2.
Area of a circle = pi x radius squared
Radius of a circle is from any point on the circumference to the centre
Diameter is the distance between two points on the circumference with the line crossing the centre
So radius is half of the diameter...
In this example radius is therefore 9mm (half of 18mm)
Square this... 9x9=81
So in terms of pi the answer is 81pi
To get the full answer you would just times pi (3.14) by 81 =254.34
Answer:
Step-by-step explanation:
Given the geometric sequence:
5, −10, 20, −40, ...
The first term is a = 5
And the common ratio = r = -10/5 = -2
The general rule of geometric sequence is
So, the rule for the given geometric sequence is:
D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
