Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Answer:
(0,-8/3)
Step-by-step explanation:
2x-3y=8
x-3y=8
Multiply the second equation by -1 and add together
2x-3y=8
-x+3y=-8
---------------------
x +0y =0
x=0
Now we can find y
2x -3y =8
0-3y =8
Divide by -3
-3y/-3 = 8/-3
y = -8/3
(0,-8/3)
Answer:
Step-by-step explanation:
Two numbers that only have 1 as a common factor are called co-prime numbers.
<u>Example:</u>
Factors of 3 ⇒ 1, 3
Factors of 4 ⇒ 1, 2, 4
These numbers only have 1 as a common factor. So 3 and 4 are co-prime numbers.
Answer:
The standard deviation of the sample mean is 4 minutes
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The standard deviation of the population is 32.
Sample of 64.
So
The standard deviation of the sample mean is 4 minutes
An inch = 2.54 Centimeters. So take 34.5 × 2.54 and you will get 87.63 centimeters.
