An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 square units. The perp
2 answers:
Answer:
14,400 cubic units
Step-by-step explanation:
We are given that An oblique prism is created using rhombuses with edge lengths of 25 units.
Area of each rhombus : 600 square units.
The perpendicular distance between the bases is 24 units.
Since volume =
Area of Base = Area of one rhombus = 24 units
Height = 24 units .
So, volume of the prism =
=
Hence the volume of prism is 14,400 cubic units
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Answer:
a. the probability that her pulse rate is less than 76 beats per minute is 0.5948
b. If 25 adult females are randomly selected, the probability that they have pulse rates with a mean less than 76 beats per minute is 0.8849
c. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
Step-by-step explanation:
Given that:
Mean μ =73.0
Standard deviation σ =12.5
a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.
Let X represent the random variable that is normally distributed with a mean of 73.0 beats per minute and a standard deviation of 12.5 beats per minute.
Then : X N ( μ = 73.0 , σ = 12.5)
The probability that her pulse rate is less than 76 beats per minute can be computed as:
From the standard normal distribution tables,
Therefore , the probability that her pulse rate is less than 76 beats per minute is 0.5948
b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.
now; we have a sample size n = 25
The probability can now be calculated as follows:
From the standard normal distribution tables,
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
In order to determine the probability in part (b); the normal distribution is perfect to be used here even when the sample size does not exceed 30.
Therefore option D is correct.
Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
So first, this is point slope form. The first step is to distribute.)
Then add 4 to both sides.
Then add 2x and it becomes
Then add 4 to both sides.
Then add 2x and it becomes