What is the order of √5 , -0.1, -5/3 , 0.7, √2 from least to greatest? A. √5, √2 , 0.7, -5/3 , –0.1 B. –0.1, 0.7, √2 , √5, -5/3
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-5/3, -0.1, 0.7, -/2, -/5 Which is C
Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Your answer will be 5xplus10
Answer:
V =298.49625 in^3
Step-by-step explanation:
Volume of a cylinder is given by
V = pi * r^2 *h
We know the diameter so we can find the radius
r = d/2 =6.5/2 = 3.25
and we know the height =9
V = pi * (3.25)^2 *9
V = pi*95.0625
If we approximate by 3.14
V = 3.14*95.0625
V =298.49625 in^3
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the population mean.
Number of sample, n = 56
Mean, u = 645 hours
Standard deviation, s = 31 hours
For a confidence level of 95%, the corresponding z value is 1.96.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
645 ± 1.96 × 31/√56
= 645 ± 1.96 × 4.142
= 645 ± 8.12
The lower end of the confidence interval is 645 - 8.12 =636.88
The upper end of the confidence interval is 645 + 8.12 =653.12
Therefore, with 95% confidence interval for the population mean life of fluorescent light bulbs is between 636.88 hours and 653.12 hours
