Answer: 0.0107
Step-by-step explanation:
Given : The time for the event for boys in secondary school is known to possess a normal distribution with
Let x be the random variable that represents the time for mile run in its secondary-school fitness test.
z-score :
Now, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds is given by :-
Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 322 seconds = 0.0107
Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):
√x+8)
f(x) = ------------------
(x+4)(x-6)
We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.
Thus, the domain is:
(-infinity, -4) or (-4, 6) or (6, infinity).
Answer:
21
Step-by-step explanation:
Chickens - 2x
cows - 4x
goats = 4x
2x+4x+4x+210
10x=210
x=21
CHECK:
21 chickens = 42 legs
21 cows = 84 legs
21 goats = 84 legs
42+84+84=210 legs
642/1,100 is equivalent to approximately 58.4%, therefore you can find what 58.4% of 40,000 is. In this case, it would be 23,360 people.
You can also divide 40,000 by 1,100 to find the amount it is increased by, which is 36.4. Then, you can multiply 642 by 36.4 to get a more accurate answer of 23,368.8 people.
Answer:
see explanation
Step-by-step explanation:
(a)
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 6x - 2 + 2x + 4 = 8x + 2
(b)
(f - g)(x) = f(x) - g(x)
f(x) - g(x) = 6x - 2 - (2x + 4) = 6x - 2 - 2x - 4 = 4x - 6