Answer:
C
Step-by-step explanation:
.7
⅔= .666666
⅝=.625
65%= .65
.625<..65<.666<.7
Answer:
A
Step-by-step explanation:
expanding the bracket, we would have
-2x -18 = -x+1+2
-2x+x= 3 +18
-x=21
x=-21
Answer:
0.07776, 0.3456,0.08704
Step-by-step explanation:
Given that a new surgical procedure is said to be successful 60% of the time
Let X be the no of successes
Then X has only two outcomes and each trial is independent of the other
Hence X is binomial with p = prob of success in a single trial = 0.60
n = Number of operations performed = 5
Prob that
a) all five operations are successful =

(b) exactly three are successful
=
(c) less than two are successful

<h3>
Answer: angle B = 47 degrees</h3>
========================================
Work Shown:
Use law of cosines to find angle B
b^2 = a^2 + c^2 - 2*a*c*cos(B)
9^2 = 6^2 + 12^2 - 2*6*12*cos(B)
81 = 36 + 144 - 144*cos(B)
81 = 180 - 144*cos(B)
81 - 180 = -144*cos(B)
-99 = -144*cos(B)
-144*cos(B) = -99
cos(B) = (-99)/(-144)
cos(B) = 0.6875
B = arccos(0.6875)
B = 46.5674634422102
B = 47 when rounding to the nearest whole number
Make sure your calculator is in degree mode.
arccos is the same as inverse cosine often labeled
on calculators.
Answer: The average daily inventory is 200 cases.
Step-by-step explanation:
Since we have given that
N(t)=600-20√30t
We need to find the average daily inventory.
![\dfrac{1}{b-a}\int\limits^a_b {600-20\sqrt{30t}} \, dt\\\\=\dfrac{1}{30}\int\limits^{30}_0 {600-20\sqrt{30t}} \, dt \\\\=\dfrac{1}{30}[600t-\dfrac{20(30t)^\frac{3}{2}}{45}|_0^{30}\\\\=\dfrac{1}{30}[18000-\dfrac{20\times 30^3}{45}]\\\\=\dfrac{1}{30}[18000-12000]\\\\=200](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bb-a%7D%5Cint%5Climits%5Ea_b%20%7B600-20%5Csqrt%7B30t%7D%7D%20%5C%2C%20dt%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B30%7D%5Cint%5Climits%5E%7B30%7D_0%20%7B600-20%5Csqrt%7B30t%7D%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B30%7D%5B600t-%5Cdfrac%7B20%2830t%29%5E%5Cfrac%7B3%7D%7B2%7D%7D%7B45%7D%7C_0%5E%7B30%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B30%7D%5B18000-%5Cdfrac%7B20%5Ctimes%2030%5E3%7D%7B45%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B30%7D%5B18000-12000%5D%5C%5C%5C%5C%3D200)
Hence, the average daily inventory is 200 cases.