Answer:
Sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Step-by-step explanation:
To yield a more accurate estimate of the population mean, margin of error should be minimized.
margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level(z-score or t-score)
- s is the standard deviation of the sample (or of the population if it is known)
for a given confidence level, and the same standard deviation, as the sample size increases, margin of error decreases.
Thus, random sample of 50 people from population A, has smaller margin of error than the sample of 20 people from population B.
Therefore, sample mean from population A has probably more accurate estimate of its population mean than the sample mean from population B.
Answer:
$21.25
Step-by-step explanation:
100 - 15 = 85
25 * 0.85 = 21.25
![\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%7D%3D%5Cfrac%7B-1--6%7D%7B3-5%7D%3D%5Cfrac%7B5%7D%7B-2%7D)
![\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\ \\ y--6=\frac{5}{-2}(x-5) \\ \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-y_1%3D%5Cfrac%7B5%7D%7B-2%7D%28x-x_1%29%20%5C%5C%20%20%5C%5C%20y--6%3D%5Cfrac%7B5%7D%7B-2%7D%28x-5%29%20%5C%5C%20%20%5C%5C%20-2%28y%2B6%29%3D5%28x-5%29%20%5C%5C%20-2y-12%3D5x-25%20%5C%5C%205x%2B2y%3D25-12%20%5C%5C%205x%2B2y%3D13%20%5Cend%7Bgathered%7D)
The missing values are (-6, -9) ( The last option)
Explanation:
x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.
The original annual simple interest rate, rounded to two decimal places, is 3.79%
What is the formula for simple interest?
The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time
I=PRT
The first loan:
P=12 850.00
R=r(assume it is r)
T=4 years
I=12 850.00*r*4
I=51400r
The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year
P=3 273.00
R=0.5r( half of the interest on the first loan)
T=0.5 years
I=3 273.00*0.5r*0.5
I= 818.25r
Total interest=51400r+818.25r
Total interest=52218.25r
total interest paid=1 980.00
1 980.00=52218.25r
r=1 980.00/52218.25
r=3.79%
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You answer would be C I hope this helps........