A) Isolate y in both inequalities
1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3
B) Draw the lines for the following equalities:
1) y = 4 - x
2) y = 2x - 3
C) Shade the regions of solutions
1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3
The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3
Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
<em>To change the mixed numeral a b/c to a fraction, do this: </em>
<em>a b/c = (ac + b)/c</em>
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
50 pairs of whole numbers
Answer:
a)
b) 
c) 
d) 
Step-by-step explanation:
Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
,
, 
a. Compute both P(X≤4) and P(X<4).
Using the pmf we can find the individual probabilities like this:




b. Compute P(4≤X≤ 8).







c. Compute P(8≤ X).


d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?
The mean is 4 and the deviation is 2, so we want this probability





Answer:
A single-digit odd number you'll get from dividing a two-digit number with 2 is 7.
Step-by-step explanation:
If you were to divide 14 by 2, you would get 7, which is a single-digit odd number.