Answer:
Inconsistent
Step-by-step explanation:
If a system has at least one solution, it is said to be <u>consistent</u>.
If a consistent system has exactly one solution, it is <u>independent</u>.
If a consistent system has an infinite number of solutions, it is <u>dependent</u>.
A system of equations is called an <u>inconsistent</u> system of equations if there is no solution.
Given the system of two equations
Add these two equations:
This is false statement, hence, the system of two equations has no solution and is inconsistent.
Step-by-step explanation:
3(ck) = (3c)k - <em>it's an Associative Property of multiplication</em>
3 · (c · k) = (3 · c) · k
Answer:
The minimum score a person must have to qualify for the society is 162.05
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that 
.
What is the minimum score a person must have to qualify for the society?
Since the person must score in the upper 7% of the population, this is the X when Z has a pvalue of 0.93.
This is 
.
So
The minimum score a person must have to qualify for the society is 162.05
Answer:
I hope this helps you
Step-by-step explanation:
y=x+9
x=y-9 f^-1 (x)= x-9
x=5 f^-1 (5)=5-9 = -4
f (f^-1))=f (-4)=?
x= -4
f (-4)=-4+9
f (-4)= 5
Answer:
4^11
Step-by-step explanation:
When you get a multiplication you add the powers.
7 + 4 = 11
