40/50 is the ratio because the cos formula is adjacent over hypotenuse and you can reduce it to 4/5 as a fraction :)
Answer:
The volume of a cylinder:

Step-by-step explanation:
To find the volume of a cylinder, you need the this formula:

-Use the given height and radius for the formula:

-Then, solve the formula:




So, the volume of a cylinder is approximately
.
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
72.24
Step-by-step explanation:
Price for each camera = 14
Number of camera = 2dozen = 12 x 2 = 24
Total cp = 24 x 14 = 336
~~~~~~~~~~~~~~
Price for each camera= 10.99
Number of cams = 24
Total sp = 10.99 x 24 = 263.76
Loss = 336 - 263.76 = 72.24