Answer:
511 employees
Step-by-step explanation:
Given data
P=690
rate= 2%
time = 13 years
let us apply the simple interest formula
A=P(1-rt)
Note the negative sign (since we are dealing with decrease)
A= 690(1-0.02*13)
A=690(1-0.26)
A=690*0.74
A=510.6
A= 511 approx
Hence the population will reduce to 511 employees
Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
The percentage of students who scored below 620 is 93.32%.
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:
Percentage of students who scored below 620:
This is the pvalue of Z when X = 620. So
has a pvalue of 0.9332
The percentage of students who scored below 620 is 93.32%.
Answer:
put the right point at 80,12 and put the point on the left at 0,0
Step-by-step explanation:
Answer: The system of equation is,
2 ( x + y ) = 50
x = 2 y - 5
Step-by-step explanation:
Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.
Thus, the perimeter of the brownie = 2 ( x + y )
But, According to the question,
Perimeter of the brownie = 50,
2 ( x + y ) = 50
The length of the brownie is 5 less than twice the width,
That is, x = 2 y - 5
Thus, the required system of equation is,
2 ( x + y ) = 50 , x = 2 y - 5
