Answer:
|0.254 ≤ p ≤ 0.286|
Step-by-step explanation:
Given that:
In a made up poll :
Proportion of people who like dark chocolate than milk chocolate (p) = 27%
Margin of Error = 1.6%
Hence,
p ± margin of error
27% ± 1.6%
(27 - 1.6)% ; (27 + 1.6)%
25.4% ; 28.6%
0.254 ; 0.286
Therefore ;
Lower bound = 0.254
Upper bound = 0.286
Expressing p as an absolute value Inequality ;
|0.254 ≤ p ≤ 0.286|
Answer:
There are total 5 layers.
Step-by-step explanation:
A multi-layer cake is in the shape of a right cylinder.
Height of the cake is = 20 cm
Radius is = 10 cm
Each of the cake layers has a volume of approximately 1,250 cm³.
Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.
Volume of the cylinder is given as:




h = 3.98 or approximately height of 1 layer is 4 cm.
As the cake's height is 20 cm so, there are
layers in the cake.
Answer: There are 5 layers in the cake.
Try using photomath it will explain on what to do.
The question is incorrect.
The correct question is:
Three TAs are grading a final exam.
There are a total of 60 exams to grade.
(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?
Answer: 60!/(25!20!15!)
Step-by-step explanation:
The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’
n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1
The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:
n!/p! q! r!
Therefore,
The answer is 60!/25!20!15!
The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers
3 x 7 = 21
21 feet² is the area of the smallest side
hope this helps