Answer:
z = 10
Step-by-step explanation:
The value of the z-statistic is given by:
In which:
X is the measured value.
is the expected value.
is the standard deviation of the sample. 
is the standard deviation of the population.
In this question:
The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
This means that 
Random sample of 100 screws.
This means that n = 100.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
3 inches, so 
Answer:
B. (3, 0)
Step-by-step explanation:
The x-intercept is the point where the graph of the function meets the x-axis.
At x-intercept, y=0 or f(x)=0
So look through the table and find where f(x)=0.
From the table, f(x)=0 at x=3.
We write this as an ordered pair.
Therefore the x-intercept is (3,0)
The correct choice is B.
Answer: 
Step-by-step explanation:
Given the following expresion provided in the exercise:
You can follow these steps in order to evaluate it when 
and 
:
1. You need to substitute and into the given expression:
2. Now you can solve the mutiplication:
3. Since 
, you get:
4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:
5. And finally, you must solve the addition. So, you get this result:
Answer:
$6500
Step-by-step explanation:
Let the amount of money invested by Lian be $x
Interest rate = 5.2% per year
interest earned in first year will be 5.2% of amount of money invested by Lian .
(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )
interest earned in one year if money invested by Lian is $x
= 5.2% of $x (1)
But , it is given in one year she received interest of 338 dollars
so, 338 dollars must be equal to 5.2% of $x
equating $338 with 5.2% of $x , we have
5.2% of x = 338
=> (5.2/100) * x = 338
=>5.2 x = 338*100
=> x = 33800/5.2 = 6500.
Thus, amount of money Lian invested is $6500.
In the first case we'd subtract 1 from both sides, obtaining |x-1|<14.
In the second case we'd also subtract 1 from both sides, and would obtain
|x-1|>14.
What would the graphs look like?
In the first case, the graph would be on the x-axis with "center" at x=1. From this center count 14 units to the right, and then place a circle around that location (which would be at x=15). Next, count 14 units to the left of this center, and place a circle around that location (which would be -13). Draw a line segment connecting the two circles. Notice that all of the solutions are between -13 and +15, not including these endpoints.
In the second case, x has to be greater than 15 or less than -13. Draw an arrow from x=1 to the left, and then draw a separate arrow from 15 to the right. None of the values in between are solutions.
