Answer: The width of the field = 120
Step-by-step explanation: This question can be solved by first opening of the bracket, then relating the equation to quadratic general equation and finally solve for domain of X by using quadratic formula.
Please find the attached file for the solution.
Remark
You could solve it using logs. Either base will do. They both will give you the same answer (I'll put the second solution before the first one).
Step one
Take the log of both sides.
Log 37^x = log 12
Step Two
Using the power rule for logs, multiply x by the log(37)
x*log(37) = log (12)
Step three
Divide both sides by the log(37)
x = log(12) / log (37)
x = 1.079 / 1.568
x = 0.6882 <<<<< Answer
Use ln
ln 37^x = ln12 Take ln of both sides.
x*ln(37) = ln(12) Multiply x (the power by ln(37)
x = ln(12) / ln(37) Divide by ln(37)
x = 2.485 / 3.611
x = 0.6882
You should be able to put the sentences together just the way I've done it.
Answer:the correct answer is C
Step-by-step explanation:
a). = m∠ABC = m∠B' C' A'
b). = m∠ABC = m∠C' A' B'
c). = m∠BCA = m∠C' A' B'
d). = m∠BCA = m∠B' C' A'------------------x-_
Answer: 0.0123
Step-by-step explanation:
Given : Customers leaving a subway station can exit through any one of three gates.
The probability of selecting any particular gate =
Sample size : n= 4
Using binomial distribution,
, where P(x) is the probability of getting success inn x trials , n is the number of trails and p is the probability of getting success in each trial.
Then , the probability that among a sample of 4 customers, they all exit through the same gate.
Hence, the probability that among a sample of 4 customers, they all exit through the same gate = 0.0123