Answer: a) 0.996, b) 0.253, c) 0.02.
Step-by-step explanation:
Since we have given that
Probability of success = Probability of the math majors belong to ethnic minorities = 33% = 0.33 =p
Probability of failure = q = 1-0.33 = 0.67
Number of students selected = 7
a) No more than 5 belong to an ethnic minority
So, using "binomial distribution", we get that
b. Exactly three of them belong to an ethnic minority
So, it becomes,
c. None of them belong to an ethnic minority
Hence, a) 0.996, b) 0.253, c) 0.02.
Answer:
x = -19
Step-by-step explanation:
-10x - 19 = 19 - 8x
-10x + 8x = 19 + 19
-2x = 38
x = -19
You can first convert everything to ounces and then subtract, when you get your answer convert it back to lbs.
*16 oz = 1 lb
12 lbs 5 oz = 197 oz
7lbs 10 oz = 94 oz
197 - 94 = 103
103/16
= 4 lbs and 7 oz
hope this helps :)
Answer:
1) 1
3) -4
Step-by-step explanation:
I haven't learned b-value yet, so sorry~.
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
