Answer: 267.
Step-by-step explanation:
When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :
, where z* = Critical z-value and E + amrgin of error.
Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.
Since , we have no prior information about p. so we use above formula
with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get
Hence, the required sample size is 267.
The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
61:1 or 61 miles per hour! This is because 183 divided by 3 is 61!
Hope this helped!
Answer:
TSA = 175.84 ft²
Step-by-step explanation:
We are given;
Lateral surface area; A_L = 75.36 ft²
Area of base; A_b = 50.24 ft²
Height of cylinder; h = 3ft
Formula for total surface area of Cylinder is;
TSA = 2πr² + 2πrh
Now, lateral surface area is given by the formula; A_L = 2πrh
Area of base is given by the formula;
A_b = πr²
Thus, let's apply these 2 formulas to the formula for total surface area;
TSA = 2(Area of base) + Lateral surface area
TSA = (2 * 50.24) + 75.36
TSA = 175.84 ft²
In an equation using x is just a place holder because those numbers are variables so it doesn't matter whether it is x or w.
