Answer:
Step-by-step explanation:
Given
There are 10 men and 5 women in a conference room
total People=15
(a)Probability that the committee consists of 2 men and 2 women
we have to select from 10 men and 5 women

(b)Bob and Jane end up on the same committee
as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

(c)Bob is in the committee but Jane is not
9 men and 4 women left to choose other 3 person

Answer:
C
Step-by-step explanation:
Check all points:
A: x=0, y=10, then from the equality
follows that A lies on the line.
B: x=3, y=13, then from the equality
follows that B lies on the line.
C: x=8, y=2, then from the inequality
follows that C doesn't lie on the line.
D: x=5, y=15, then from the equality
follows that D lies on the line.
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:

Where x=5.03, μ=5, σ=0.03 and so:

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

And so 19 out of the 120 nails are greater than 5.03 inches long.
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
Answer:
Step-by-step explanation:
Example: Based on Week starting on Monday
Odie works M-W-F-Sun-Tues-Thur-Sat
Mary Thur- M-Thurs
Carlos Fri-Wed-M