Which ratio is greater? 3 : 4 or 5:6
Answer:
5:6 is greater than 3:4.
The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)
Answer:
a) 75%.
b) 84%
c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean: 6.3 hours
Standard deviation: 1.6 hours
(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.
3.1 = 6.3 - 2*1.6
9.5 = 6.3 + 2*1.6
Within 2 standard deviations, so the minimum percentage is 75%.
(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.
How many standard deviations from the mean?
One standard deviation is 1.6
These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which
[tex]k = \frac{4}{1.6} = 2.5[/tex]
The minimum percentage is:
[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]
So 84%.
(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.
Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.
Five less than the product of -2 and a number is -13
Answer:
-2 -5 + 13 = x
Step-by-step explanation:
x would be the product
and i dont know if i got this correct o.O
I tried is all imma say
BRAINLIEST STARS
7)
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of NOT picking a
green marble out of the bag randomly?
A)
0
B)
1/2
C) 1/5
D)4/5
Answer:
that should be D
Step-by-step explanation:
Its D because there are to many other colors
Answer and explain I’ll mark brainliest please help!!!!!
Answer:
230 were sold at the door
170 were sold in advance
Step-by-step explanation:
x=at door y=in advance
x+y=400
3x+2y=1030
y=-x+400
2y=-3x+1030
y=-3/2x+515
-x+400=-3/2x+515
x=230 y=170
A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?
Answer:
Answer · 6 votes
$b = 6 $ \ $ h =12$
how do I do ratio tables?
Answer:
You can create a ratio table by multiplying (or dividing) both quantities in the ratio by the same value to find an equivalent ratio. A ratio table can help you find equivalent ratios in order to solve problems.
Step-by-step explanation:
What is the range of the following exponential function?plz help asap
Answer:
0.23
Step-by-step explanation:
Select all the multiples of the number 3
please help I will give brainliest!
y
is directly proportional to
x
2
.
If
y
=
12
when
x
=
2
find
y
when
x
=
6
Answer:
y=54+7
Step-by-step explanation:
A triangular pyramid has a base area of 74 square inches and a height of 9 inches. Which is closest to the volume of the pyramid?
a 351 cubic inches
b 702 cubic inches
c 224 cubic inches
d 234 cubic inches
Answer:
702
Step-by-step explanation:
because 74 x 9 = 666 and 702 is close
What is (10x+30)+(7x+14) ?
Answer:
17x + 44
Step-by-step explanation:
Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44
Left with: 17x + 44
Answer:
Remove the parentheses
10x + 30 + 7x + 14
Add the like terms
17x + 44
Solution
17x + 44
Step-by-step explanation:
Please mark the Brainliest
Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?
Answer:
Allison's angular velocity is approximately π/12 radians/hour
Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour
Step-by-step explanation:
The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)
The radius of the Earth, R = 3950 miles
The rate of rotation of the Earth ≈ 2·π radians in 24 hours
The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour
The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour
Allison's angular velocity, ω ≈ π/12 radians/hour
Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles
The linear velocity, v ≈ ω × r
∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour
Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
Pls awnser the question I'm stuck
What is the equation of the line that passes through the point (-5, 3) and has a
slope of
-6/5
There are blue, red and yellow counters in a bag in the ratio 3:2:1. There are 6 more blue counters than red counters. How many counters are there in total?
Answer:
12
Step-by-step explanation:
im pretty sure its 12 if not im sorry
Find the area of the circle below
Answer:
28.27433
Step-by-step explanation:
using the pie radius squared formula
pie radius squared=pie 3 squared
answer is 28.27433
same reason as the person above
3n + 2 + 5 = 4
NEED ASAP
Step-by-step explanation:
given
3n + 2 + 5 = 4
3n + 7 = 4
3n = 4 - 7
3n = - 3
n = - 3 / 3
n = -1
Hope it will help :)❤
find the distance between (3,7) and (-1,4)
Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]
Thus, the distance is 5 units.
Need some help with this :(
(Don’t answer if you don’t know)15 points
Factorise
1) 9a^2 - 6a
Answer:
[tex]3a(3a - 2)[/tex]
Step-by-step explanation:
[tex]3(3a ^{2} - 2a) \\a(3a - 2) [/tex]
PLS HELP I DONT KNOW THIS ONE ITS URGENT
Answer:
A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
Step-by-step explanation:
WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.
Thus, we would have the following equation which is true:
[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can work no more than 13 total hours and must earn at least $170. If xx represents the number of hours lifeguarding and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
[tex]x = 4\\y = 9[/tex] hours
Step-by-step explanation:
Given -
x represents the number of hours lifeguarding and y represents the number of hours landscaping
[tex]x+ y = 13[/tex] -----Eq ( 1 )
and
[tex]20 * x + 10 * y = 170[/tex] -----Eq ( 2 )
Substituting the value of [tex]x = 13-y[/tex] in equation 2, we get -
[tex]20* (13 - y) + 10 y = 170[/tex]
[tex]260 - 20 y + 10 y = 170\\10y = 90\\y = 9[/tex]
[tex]x = 13-9 = 4[/tex]
Aditi fed her dog 1 1/2
cups of dog food in the morning and
3/4 of a cup of dog food in the evening. How many cups did she feed her dog in all?
Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down. Which of these would be a measure of
one of the resulting angles? Select all that apply.
160°
340°
80°
40°
120°
260°
Answer:120 and 160
Step-by-step explanation:
i did it
80° and 160° could be a measure of one of the resulting angles.
What are angles?Two rays intersect to form a angle. The point of intersection is called the vertex point.
Given is that two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.
There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.
Therefore, 80° and 160° could be a measure of one of the resulting angles.
To solve more questions on angles visit the link below-
brainly.com/question/1041084
#SPJ6
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
No Solution!
Step-by-step explanation:
If we make a graph of the given equations the equation's lines will be parallel. We know that, when the lines are parallel, there is no solution.
Answer:
I think it has only one solution
A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is 60% of chance that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, how frequent are we observing a day for which it is rainy and the next two days are also rainy
Answer:
In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.
Step-by-step explanation:
A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;
Probability (P) = [tex]\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right][/tex]
After solving for probability we get a fraction of 2/5
In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.
Answer:
58.4
Step-by-step explanation:
delta math give up