Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
Answer:
Population is all students from grades 3-12.
Sample is the students who participated in the survey.
Step-by-step explanation:
Given : A survey of third- to twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour and 46 minutes per day to using entertainment media.
To find : Identify the population and the sample.
Solution :
The population is defined as it contain all individuals which we want to collect the information.
So, the population consists of all third- to twelfth grade students.
Therefore, Population is all students from grades 3-12.
The sample is defined as a part of population of which information was actually collected.
So, the sample is only the respondents in the survey conducted in 2026.
Therefore, Sample is the students who participated in the survey.
Answer:
a) correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
b) probability for only 2 or less than 2 surgeries in a given day is 0.0536
Step-by-step explanation:
Given data:
mean number is given as 6.2
correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
we know that variance is given as
hence, standard deviation is given as 
thus standard deviation is 2.49
correct option is
Poisson distribution is 6.2 and standard deviation is 2.49
b) probability for only 2 or less than 2 surgeries in a given day is


= 0.002029 + 0.012582+ 0.039006
= 0.053617
= 0.0536
The volume V of a prism can be found by:
The volume of a rectangular prism can be found through:

Where l is the length, w is the width, and h is the height.
The height can be found by rearranging the equation to:

Take the volume (1374.28) and divide it by the length times the width (9.4*17.2=161.68).
1374.28/161.68=
8.5 inches is the height of the prism.