Answer:
133/143
Step-by-step explanation:
Let S be the sample space
Let E be the event of selecting three committee partners with at least one junior partner.
Partners in the law firm include:
Senior partners = 6
Junior partners = 7
Total partners = 13
n(S) = number of ways of selecting 3 partners from 13 = 13C3
n(S) = 13C3 = 13!/(10!3!) = (13x12x11)/(3x2x1) = 286
To get n(E) i.e least 1 junior partner in the selected committee, we may have:
(2 senior and 1 junior) or ( 1 senior and 2 junior) or (3 junior).
Therefore, the required number of way is given below:
= (6C2 x 7C1) + (6C1 x 7C2) + 7C3
= [(6x5)/2 x 7] + [6 x (7x6)/2] + [(7x6x5)/(3x2)]
= 105 + 126 + 35
n(E) = 266
Therefore, the probability P(E) that at least one of the junior partners is on the committee is given below:
P(E) = n(E) /n(S)
P(E) = 266/286
P(E) = 133/143
Answer:
Step-by-step explanation:
The formula for normal distribution is expressed as
z = (x - u)/s
Where
u = mean
s = standard deviation
From the information given,
u = 266
s = 12
x = 242
We want to determine P(x ≥ 242). This is the probability of x greater than or equal to 242
P(x ≥ 242) = 1 - P(x </=242)
For x = 242,
z = (242 - 266)/12 = -24/12 = -2
Looking at the normal distribution table, the corresponding z score for P(x </= - 2) is 0.02275
P(x ≥ 242) = 1 - 0.02275 = 0.97725
Y = ax^2 + bx
243 = a + b . . . (1)
452 = 4a + 2b
226 = 2a + b . . . (2)
(2) - (1) => a = -17
From (1), b = 243 + 17 = 260
y = -17x^2 + 260x
After 5 seconds, y = -17(5)^2 + 260(5) = -425 + 1300 = 875 feet.
Answer:
You didn't put the worksheet.
Answer:
$9.04 /gal
Step-by-step explanation:
1 gallon = 128 oz
8 * 4.23 oz = 33.84 oz
$2.39 /33.84 oz = .0707 $/oz
.0707 $/oz * 128 = $9.04 $/gal
