Susan is attempting to construct a square table with each side length equaling three feet. To check her work, Susan measures the
2 answers:
Answer:
The diagonal should be 4.24 feet if the side lengths are indeed three feet.
Step-by-step explanation:
Susan is attempting to construct a square table with each side length equaling three feet.
This question is based on Pythagoras theorem.
We have the sides of the right triangle as 3 feet by 3 feet and we have to find the diagonal or hypotenuse.
Let the hypotenuse be = x
We get;
=>
=>
x = √18 = 3√2= 4.24 feet
Hence, the diagonal should be 4.24 feet if the side lengths are indeed three feet.
You might be interested in
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
- , where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴ and
∴ and
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ =
∴ HJ =
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
(1) The expected number of people who would have consumed alcoholic beverages is 34.9.
(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.
(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.
Step-by-step explanation:
Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.
The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.
A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.
An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.
The probability mass function of a Binomial random variable <em>X</em> is:
(1)
Compute the expected value of <em>X</em> as follows:
Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.
(2)
Compute the standard deviation of <em>X</em> as follows:
Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.
(3)
Compute the probability of <em>X</em> ≥ 45 as follows:
P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)
The probability that 45 or more have consumed alcoholic beverages is 0.0006.
An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.
The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.
Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.