Patients come into a medical clinic have a mean weight of 207.6 pounds with a standard deviation of 22.6 pounds. the distribution of weight is not assumed to be symmetric. between what two ways does Chebyshev's Theorem guarantee that we will find at least 95% of the patients? Round your answers to the nearest 10th
Answers
Answer: 105.9 lbs and 309.3 lbs
Step-by-step explanation:
By Chebyshev's Theorem, the proportion of patients with weights within 4.5 standard deviations of the mean is at least 95%. Therefore k=4.5.
The weight that is 4.5 standard deviations less than the mean is 207.6−4.5(22.6)=105.9 pounds.
The weight that is 4.5 standard deviations greater than the mean is 207.6+4.5(22.6)=309.3 pounds.
So at least 95% of the patients have weights between 105.9 and 309.3 pounds.
Related Questions
In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs 0.45 lb if the exchange rate if the exchange rate is 18 pesos to the dollar?
Find the equation of a line through (1,1) whichisperpendicular to a line through (1,3) and (2,5).
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 90 square feet. Suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?
Answers
Answer:
I don’t know
Step-by-step explanation:
Go ask your teacher please help me
With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?
skjsksmsms
2. Regular pentagon PENTA has side lengths that are 9 meters long. To the nearest square meter, find the area of the pentagon.
Area of pentagon PENTA = _____square centimeter
Answers
Given
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
Find
The area of each figure, rounded to the nearest integer
Solution
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
Answer:139 cm squared
The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
Answers
Answer: 1/2
Step-by-step explanation:
Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10
4/10 + 1/10 = 5/10 = 1/2
Answers
Answer:
1.80 * 10^19
Step-by-step explanation:
If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.
We select this 4 different songs using the combination formula for selection and multiply our results.
This means we have:
12C4 for blues,
25C4 for country
21C4 for disco.
This gives:
=12C4 * 25C4 * 21C4
= 495 * 12650 * 5985
And the order they can be played = 12!.
We then multiply the number of ways to get these songs by the order they can come in.
That is:
=495 * 12650 * 5985 * 12!
= 1.7951 * 10^19
= 1.80 * 10^19 (nearest hundredth).
Final answer:
DJ Davon can make approximately 3.57 x 10^21 different playlists, if he includes an equal number of blues, country, and disco songs. This calculation utilizes combination and permutation formulas.
Explanation:
DJ Davon wants to play an equal number of blues, country, and disco songs, which means he will play 4 songs from each genre. The number of ways to select 4 songs out of each genre is represented by the combination formula C(n,r) = n! / [r!(n-r)!].
So, for each genre, the number of ways to select 4 songs is:
Blues: C(14,4) = 1001
Country: C(25,4) = 12,650
Disco: C(21,4) = 5985.
After the songs are selected, the order of the playlist matters, so we use the permutation formula. Given 12 slots for the songs, the number of ways to order them is P(n) = n!, which for 12 is 479,001,600. The total number of different playlists is product of blues, country and disco song combinations and the permutations, which gives 3.57 x 10^21. This rounded to the hundredths place in scientific notation is 3.57 x 10^21.
Learn more about Combinations and Permutations here:
#SPJ3
Answers
Answer:
There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.
Step-by-step explanation:
This a probability problem.
We have the following probabilities:
-70% probability that a transaction is an addition of an item.
-30% probability that a transaction is a change to an item
-81% probability that an addition can be completed in less than 100 milliseconds
-20% probability that change can be completed in less than 100 milliseconds
The probability P that a transaction can be completed in less than 100 milliseconds is:
In which is the probability that the transaction is an addition and it takes less than 100 milliseconds. So
is the probability that the transaction is a change and it takes less than 100 milliseconds. So
So
There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.
b) 180
c) 11
d) 405
Answers
Answer:
B is the answer
Step-by-step explanation:
Because we can make 4/6 into 2/3 and 2/3 of 270 is 180