To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Answer:
B
Step-by-step explanation:
Since there are 100 squares and you shaded 45 that is 45/100 which is equal to 45%
Answer:
3 hours
Step-by-step explanation:
To solve this we can first find out how many minutes is 1/5th of an hour which is: 12 mins.
Now we know it will take 15 sets of 12 minutes to water the full lawn so we can multiply 15*12 to get our answer.
15*12 = 180
Now we divide 180 (minutes) by 60 (minutes) to find out how many hours that is:
180/60 = 3 hours
Hope this helped! If possible please leave a thanks so I can continue to help out others :),
comment if you have any questions.
Answer:
m
Step-by-step explanation:
Let
Bas length of box=b
Height of box=h
Material used in constructing of box=36 square m
We have to find the height h and base length b of the box to maximize the volume of box.
Surface area of box=
Volume of box, V=
Substitute the values
Differentiate w. r.t b
The negative value of b is not possible because length cannot be negative.
Again differentiate w.r.t b
At
Hence, the volume of box is maximum at .
m
