Answer:
Total volume of the figure = 1067 cm³
Step-by-step explanation:
Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid
Volume of the rectangular prism = Length × Width × Height
= 10 × 10 × 7
= 700 cm³
Volume of the square pyramid = 
= 
× height
= 
= 366.67 cm³
Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³
≈ 1067 cm³
a. What percent of people earn less than $40000?
Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random
variable X =−50000
20000
~N(0,1).
( < 40000) = ( <
40000 − 50000
20000 ) = ( < −0.5) = (−0.5) = 0.3085375.
Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.
Answer: 31%.
b. What percent of people earn between $45000 and $65000?
Solution:
(45000 < < 65000) = (
45000 − 50000
20000 < <
65000 − 50000
20000 ) = (−0.25 < < 0.75)
= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.
Answer: 37%.
c. What percent of people earn more than $70000?
Solution:
( > 70000) = ( >
70000 − 50000
20000 ) = ( > 1) = 0.8413447.
Answer: 84%.
3b) 4 tickets/$16 = 0.25 tickets/$1
4a & 4b) You didn’t provide a photo of the problems that I need to solve them
4c) ($4/1 ticket) x (1000 tickets) = $4000
Answer:
1.05
Step-by-step explanation:
3.5x.30=1.05
The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
Explanation:
In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.
Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.
