Let's write an equation first:
x divided by 4 can be represented as x/4
So, x/4 = 12
Now to isolate x, multiply by 4 to cancel the four out. If you do this to one side, you have to do it to the other.
(x/4)4 = 12(4)
so that leaves us with x = 48
In order to get 12 as an answer, x would have to represent 48.
Hope this helps!
First Part:
The minimum value is -0.75
The maximum value is 0.75
Second Part:
The amplitude is 0.75
Third Part:
An equation for this function is y = 0.75cos(x)
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
South Atlantic region :
Mean price = $165
Standard deviation = $30
Mid-Atlantic region :
Mean price = $170
Standard deviation = $15
Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;
$165 < $170
However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.
To calculate the inverse isolate x on one side and switch x with y on both sides
1)
y=(2x-3)/5
5y=2x-3
5y+3=2x
(5y+3)/2=x
-> f(x)=(5x+3)/2
2)
y=(x+8)/2
2y=x+8
2y-8=x
-> f(x)=2x-8
3)
y=(x+2)/7
7y=x+2
7y-2=x
-> f(x)=7x-2
4)
y=(1-2x)/x
y=(1/x)-2
y+2=1/x
x=1/(y+2)
-> f(x)=1/(x+2)
Answer:
0.8029 = 80.29% probability that the thickness is between 3.0 and 7.0 mm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.6 millimeters (mm) and a standard deviation of 1.5 mm.
This means that 
Find the probability that the thickness is between 3.0 and 7.0 mm.
This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. So
X = 7
has a pvalue of 0.9452
X = 3
has a pvalue of 0.1423
0.9452 - 0.1423 = 0.8029
0.8029 = 80.29% probability that the thickness is between 3.0 and 7.0 mm.
