Answer:
35 :
t = 6.25 years
(about 6 years 3 months)
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = (1/0.04)((2500/2000) - 1) = 6.25
t = 6.25 years
The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).
36:
The two distances are the same (out and back), so set them equal.
That is done by having a (rate)(time) equal a (rate)(time).
One time is “x” and the other is “4.8-x.”
One rate is 460 and the other is 500.
460 x = 500 (4.8 -x)
460 x = 2400 - 500x
900 x = 2400
x = 2.5 hours for the slower plane.
4.8- x = 2.3 hours for the faster plane.
The value of p is 11. To find this, you must isolate the variable, p, so you divide 10 by both sides of the equation to get p=11.
905,154 rounded to the nearest ten thousand is 910,000. This is because the 5 in the thousands place is equal to 5, and when the number is 5 or more, you round up. That’s why when you round that number to the nearest ten thousand, it is 910,000.
Answer:
The value of t test statistics is -2.25.
Step-by-step explanation:
We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.
A 25 bag sample had a mean of 393 grams with a standard deviation of 20.
<u><em>Let </em></u>
<u><em> = mean filling of bags by the machine.</em></u>
So, Null Hypothesis, 
: 
402 gram {means that the the machine is not under filling the bags}
Alternate Hypothesis, 
: < 402 gram {means that the the machine is under filling the bags}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = 
~ 
where, 
= sample mean bag filling = 393 grams
s = sample standard deviation = 20 grams
n = sample of bags = 25
So, <u><em>test statistics</em></u> = 
~ 
= -2.25
The value of t test statistics is -2.25.
Answer:
9
Step-by-step explanation:
