Given that,
Sample size= 83
Mean number= 39.04
Standard deviation= 11.51
We know the critical t-value for 95% confidence interval which is equal to 1.989.
We also know the formula for confidence interval,
CI=( mean number - critical t-value*standard deviation/(sample size)^(1/2), mean number + critical t-value*standard deviation/(sample size)^(1/2))
So, we have
CI= (39.04 - 1.989*11.51/83^(1/2), 39.04 + 1.989*11.51/83^(1/2)
CI= (39.04 - 2.513,39.04 + 2.513)
CI= (36.527,41.553)
Therefore, 95% confidence interval for these data is (36.527,41.553), and this result interpret that the true value for this survey sample lie in the interval (36.527,41.553).
Answer:
About 0.3 billion dollars
Step-by-step explanation:
5 years = 60 months.
The 150 of the first month will be 150*1.07^60 in 5 years.
The 150 of the second month will be 150*1.07^59 in 5 years.
The 150 of the third month will be 150*1.07^58 in 5 years.
And so forth.
So we sum that up:
( sum_(n=1)^(60) 150×1.07^n)
And multiply with
× 1.07^(5×23)
to account for the increase in value in the following 23 years.
Answer:
it uses 3,600 watts of electricity in 3 hours
Answer:
C. 134.04 
Step-by-step explanation:
The formula to calculate the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height</em>
<em />
The base of the cone is a circle, so that the formula to calculate the are of the base is: <em>Area of base = </em>
x 
The radius of the base is 4cm
=> <em>Area of base = </em> x 4^2 = 3.14 x 16 = 16
The height of the cone is given equal to 8 cm
So the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16</em><em> x 8 = 134.04 </em><em />
<em />
So the answer is C
