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Answer: Choice A. P = 1000M</h3>
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Explanation:
Use the log rule
log(A/B) = log(A) - log(B)
this works for any valid log base
So we can say
- log(P/N) = log(P) - log(N)
- log(M/N) = log(M) - log(N)
meaning that
- log(P/N) = 8 turns into log(P) - log(N) = 8
- log(M/N) = 5 turns into log(M) - log(N) = 5
We have this system of equations
Subtract the equations straight down. You'll find the log(N) terms cancel out and we have the new equation log(P) - log(M) = 3 which transforms into log(P/M) = 3
Lastly, convert the log equation into its exponential equivalent form using the idea that log(b,x) = y turns into y = b^x, where b is the base
Throughout this problem, the base wasn't given. Instead its implied we're talking about base 10.
So,
log(P/M) = 3
P/M = 10^3
P/M = 1000
P = 1000M
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Alternatively,
log(P/N) = 8 turns into P/N = 10^8
log(M/N) = 5 turns into M/N = 10^5
meaning that we can divide the two equations to get P/M = (10^8)/(10^5). That simplifies to P/M = 1000 and rearranges to P = 1000M
Answer:
The slope is -8/5
Step-by-step explanation:
Slope is the change of y over the change of x.
Two x and y values for example are -7, -2, 9, and 1.
You would set up the expression where you put 9-1 in the numerator and -7-(-2) in the denominator. The answer would be 8/-5.
Thus, the slope is -8/5.
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
Solution:-
- Denote the number of boys going on trip, B = 65
- Denote the number of boys going on trip, G = 95
- The total of T = 160 students are going on the trip.
- We are to randomly select a representative sample from the population of students with T = 160 students in total.
- The proportion of boys population ( p ) among the total population can be determined:
p = B / T
p = 65 / 160
p = 0.40625
- The proportion of girls population ( q ) among the total population can be determined:
q = G / T
q = 95 / 160
q = 0.59375
- For us to select a representative group of sample size ( n ) from the population of 160 student. The possibility of finding a girl on that representative group is q = 59.4 % while the possibility of finding a boy on that representative group is p = 40.6 %.
Answer: We are likely to see more girls as part of the representative group as compared to boys.
A set of parallel lines run infinitely without touching each other! Hope this helps!
Answer:
X=-4
Step-by-step explanation: