Answer:
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
Step-by-step explanation:
Find a common multiple of the denominators 3 and 8, which would be 24. Convert the fractions:
7/8 x 3/3 = 21/24.
2/3 x 8/8 = 16/24
Add the two numerators = 37/24 or 1 13/24.
1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.
Divide it maybe like 50/100?
The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers
two consecutive even integers: n, n+2
next two consecutive even integers n+4, n+6
n+(n+2) >= 7+1/2(n+4 +n+6)
combine like terms
2n+2 >= 7 +1/2(2n+10)
distribute 1/2
2n+2 >= 7+n+5
2n+2>= n+12
subtract n from each side
n+2>= 12
subtract 2 from each side
n>10
4 integers : 10, 12 ,14, 16
Answer: 0.243.
Step-by-step explanation:
The probability in this case is approcimated by the probability distribution formula for random variables. This formula is denoted as:
P(X=r) = nCr * p^r * q^n-r
Where n = selected number to be sampled and in this case, n= 3
r = varied number of sample and in this case, r=1
P = probability of success and in this case p = 0.10
q = 1-p=1-0.1 = 0.9
P(X=1) = 3C1 × 0.1¹ × 0.9²
P(X=1) = 0.243.
