Since sample size is > 40, we use the z-score
in calculating for the confidence interval.
The formula is given as:
Confidence Interval = X ± z * σ / sqrt (n)
Where,
X = mean = $50,340
z = z-score which is taken from standard distribution
tables at 90% confidence interval = 1.645
σ
= standard deviation = $10,780
n = sample size = 45
Substituting to the equation:
Confidence Interval = 50,340 ± 1.645 * 10,780 / sqrt (45)
Confidence Interval = 50,340 ± 1,607
Confidence Interval = $48,733 to $51,947
<span>Therefore the salary range of the personnel is $48,733 to $51,947.</span>
<em>Answer: </em>
<em>A = $7,350.00</em>
<em></em>
<em>Step-by-step explanation:</em>
<em>Equation:</em>
<em>A = P(1 + rt)</em>
<em>First, converting R percent to r a decimal</em>
<em>r = R/100 = 9%/100 = 0.09 per year.</em>
<em>Putting time into years for simplicity,</em>
<em>30 months / 12 months/year = 2.5 years.</em>
<em></em>
<em></em>
<em>Solving our equation:</em>
<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>
<em>A = $7,350.00</em>
<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>
<em>* Therefor, the answer is $7,350.00.</em>
<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>
Answer:
The coordinates are:
A ( 4,7 )
B ( 8,10 )
c ( 7,7 )
Step-by-step explanation:
You could take the original coordinates and add the x value with 3 and y value with 6. Like for example...
The original coordinates of C is ( 4,1 ). Hence you could add the x value with 3 and y value with 6. 4 + 3 and 1 + 6 giving you the coordinates after translation = ( 7,7 )
Answer:
1200
Explanation:
Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:
nCr = n! / r! * (n - r)!
where n= total number of items
r= number of items chosen at a time
Combinations are used when the order of events do not matter in calculating the outcome.
We calculate using the formula:
(30×20×12)÷3!=1200
There are therefore 1200 ways for the three distinct items to not be in same row or column
Answer:
C
Step-by-step explanation:
