Answer:
Part a - 25 pieces
Part b - 4 sheets
Step-by-step explanation:
<u>Part a</u>
Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:
Number of units = total area / unit area
N = (85 x 60) / (20 x 10)
N = 5100 / 200
N = 25.5
Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).
<u>Part b</u>
Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:
Number of units = total gifts / gifts per unit
N = 100 / 25.5
N = 3.9
Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).
Answer:
The fraction of blue shirts that she sold is 
Step-by-step explanation:
She sold:
1/3 on Tuesday.
5/12 on Wednesday.
What fraction of blue shirts did she sell on Tuesday and Wednesday?
Sum of fractions.
The lesser common multiplier between 3 and 12, which is 12.
So
The fraction of blue shirts that she sold is
Answer:
D) 168
Step-by-step explanation:
So 12 months in a year
each month tcket sells out for 7 times
2 years=24 months becuase 12*2
Multiply
24*7=168
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
