Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshev's theorem. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Also convert hours to minutes and state your answer in minutes.
Answer:
84 minutes to 276 minutes
Step-by-step explanation:
Chebyshev's theorem states that:
At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Where k > 1 , 1 - 1/k²
k is 2, it is 75% and when k is 3 it is 88.89%
Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies
Step 1
Convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x
Cross Multiply
= 3hours × 60 minutes/1 hour
= 180 minutes
We know from Chebyshev's theorem that:
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Hence
μ = 180 minutes, σ =32 minutes
μ – 3σ
= 180 - 3(32)
= 180 - 96
= 84 minutes
μ + 3σ
= 180 + 3(32)
= 180 + 96
= 276 minutes
Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes
Need help asap! Tyy
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Answer:
27 feet squared
Step-by-step explanation:
the formula for the area of a triangle is b(h)/2 so u just plug in the numbers into the formula from the question. we know that the base is 6ft long and the height is 9ft long.
A = b(h)/2
A = 6(9)/2
A = 27
therefore the area of the sail is 27 feet squared.
Give the domain and range of the relation.
{(-6,5), (-6, -7), (5,-6), (6,-1), (-4,-5)}
A) domain= {5, 13,-4, 6, -6}; range = {-6, -5,-1, -7,5}
B) domain={-6, -5,-1, -7,5}; range = {5,5, -4,6,-6}
) domain= {5, -3, -4, 6, -6}; range = {-6, -5,-1,-7,5}
D) domain= {5,-4, 6, -6}; range = {-6, -5,-1,-7,5}
Answer:
D
Step-by-step explanation:
The domain is all the x values that are given with the points.
Domain(x)
Range(y)
Hope this helps! :)
whats is 1+1
*i cant figure it out *
Answer:
2
Step-by-step explanation:
The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $77. The second van transported 2 adults and 7 students and cost $95. Find the cost for one student to enter the competition.
Answer: $9
Step-by-step explanation:
Let the cost for adults be a
Let the cost for students be b.
The first van transported 2 adults and 5 students and cost $77. This will be:
2a + 5b = $77
The second van transported 2 adults and 7 students and cost $95. This will be:
2a + 7b = $95
2a + 5b = 77 ...... equation i
2a + 7b = 95 ........ equation ii
Subtract equation ii from I
-2b = -18
b = 18/2
b = $9
An student cost $9
Put the value of b into equation i
2a + 5b = 77
2a + 5(9) = 77
2a + 45 = 77
2a = 77 - 45
2a = 32
a = 32/2
a = 16
An adult costs $16
Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.
Answer: $7 + 2h = Will be the price she pays when she leaves.
Step-by-step explanation:
I WILL MARK YOU THE BRAINLYEST IF YOU HELP ME PLEASE!!!!!
The expression -50X+ 100 represents the balance in dollars of a bank account after X months.
What is the rate of change in dollars per month of the bank account balance?
A.) $100 per month
B.) $50 per month
C.) $-50 per month
D.) $-100 per month
Answer:
it's B
50(-x+2)
Answer:
hoesty ill pick c or a ut you risk it for the biscuit
Step-by-step explanation:
Hope this helps leave a heart pls ad if you have questios im here c:
How to find rational numbers between any two numbers for example like finding six rational numbers between three and four please elaborate
Answer:
The whole series is:
3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4
Step-by-step explanation:
Inserting Numbers Between Two Given Endpoints
Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].
To place n numbers, we need to open n+1 slots, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1) each.
For example, let's add 6 rational numbers between 3 and 4. The width of the given interval is 4-3=1, and we need to place 6 numbers separated by 1/(6+1) = 1/7.
Start by the left endpoint:
3
The first number to add is 3+1/7=22/7
22/7
The second number to add is 22/7+1/7=23/7
23/7
The third number is 23/7+1/7=24/7
24/7
The next numbers follow the same pattern:
25/7
26/7
27/7
The last number is 28/7=4
4
The whole series is:
3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4
We have inserted 6 rational numbers between 3 and 4.
Help needed. please only answer if you know it.
Answer:
B
Step-by-step explanation:
f(x) = -(x+3)(x+1)
The zeros are -3 and -1 so we can eliminate graph a
It is negative so it points down
This eliminates graphs c and d
Is this rational or irrational? If so why ?
Answer: 0.12 repeating is a Rational number
Step-by-step explanation:
Any number with a terminating or repeating decimal representation is a rational number <!>Brainiest Appreciated<!>
You start reading a book for your literature class two day before your friend. You both read 10 pages per night. A system of linear equations that represents this situation is y=10x20 and y=10x. Will your friend finish the book before you?
Answer:
No
Step-by-step explanation:
You started two days before your friend and you both read the same numbers of pages every night. Therefore, you will finish two days before your friend.
In a classroom there is 40 students, 8 of them failed. ¿What percentage failed?
Answer:
40-8=32
Step-by-step explanation:
there was 40 then 8 of them failed that is telling u to subtract
‼️WILL LIST BRAINLIEST ‼️Explain the Error: Jayme tells her friend that ordered pairs that have an x-coordinate of O lie on the x-axis. She uses the origin as an example. Describe Jayme s error and why that statement is false,
Find the measures of the labeled angles
Answer:
135 degrees \
Step-by-step explanation:
5x= x+108
Subtract x from the right
4x= 108
divide by 4
x= 27
Substitute for x in the original equation
(x+108)
(27)+(108)
= 135 degrees
f(n)=??? whats the answer mates?
What is 15.5% as a fraction in simplest form
Answer:
Hope this helps
Step-by-step explanation:
15.5
10
(Computer won't do fractions so 15.5 out of 10 or 15.5 in decimal form)
Another one please I am gonna Fail
Answer:
115
Step-by-step explanation:Beacsue that is way smaller than usal...the angle is 180 degress so if you do 55+65=120 so it defintly isn't 120 because that is correct so ya.
(4.6), (8,-2)
What is the slope
Answer:
-2
Step-by-step explanation:
Gracy is selling picture frames and wants to compute the areas of each of the frames that she sells one of the frames measure 1/2 foot wide and 3.8 feet long.what is the area of this size of piture frame
The answer choice is
A 1.9 square feet
B 3.3 square feet
C 4.3 square feet
D 7.6 square feet
Plz help
Answer:a
Step-by-step explanation:
Answer:
a
cause that is the right answer had that quiz
17.5=7y
What’s the answer ?
Answer:
Exact Form: Y = 5/7
Decimal Form: 0.714285...
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the sum of all the whole numbers from 1 to 1000?
Answer:
So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.
Step-by-step explanation:
An angle measures 70.2° more than the measure of its complementary angle. What is the measure of each angle?
A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.
For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)
So, what we can do for this problem is create an equation! :)
x + 70.2° = "an angle"
x = complementary angle
Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.
Now, we can make an equation!
(x + 70.2°) + x = 90
2x = 19.8
x = 19.8/2
x = 9.9 degrees
One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)
Ask any questions if you need. :)
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please
9 — 3x = у
3х – у = -2
Answer:
This could be wrong, but i still wanted to help you.
Step-by-step explanation:
9-3x=y
+9 +9
3x=y
÷3 ÷3
x=y/3
Im sorry if this is wrong
.................. Simplify 9 + 7 + n.
Answer:
n+16
Step-by-step explanation:
9+7+n
Combine Like Terms
=9+7+n
=(n)+(9+7)
=n+16
Answer:
16+n
Step-by-step explanation:
9 + 7 +n
16 + n
I need help! 30 points! Will mark brainliest! I'm giving up my rank for this answer! Please!
Solve for a. Show your work: -2(a - 3) = 12
Answer: a = -3
Step-by-step explanation: First we distribute the -2 to a and -3 to get -2a+6=12, then subtract 6 on both sides, -2a=6, finally divide by -2 on each side to get a = -3.
Hope this helps!
Please consider marking BRAINLIEST!
Which of the following lines is parallel to the line 4x + y = 5?
Answer:
Step-by-step explanation:
Y=-4x
PICNIC TABLE How do you know that the top of the picnic table is parallel to the ground?
Answer:
because the lines are parallel meaning they will never cross
Step-by-step explanation:
Answer please nowwwwwwwwwwwwwww
Answer:
25.25
Step-by-step explanation:
i think im not so sure :/
Answer:
25 [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
This is the answer because:
1) You have to convert 3 [tex]\frac{7}{11}[/tex] to an improper fraction. You can do this by multiplying 11 and 3 (the denominator and the whole number) then add 7 (the numerator). This equals to [tex]\frac{40}{11}[/tex].
2) [tex]\frac{40}{11}[/tex] x [tex]\frac{7}{1}[/tex] = [tex]\frac{280}{11}[/tex]
3) Finally. convert [tex]\frac{280}{11}[/tex] to an mixed fraction which is 25 [tex]\frac{5}{11}[/tex]
Therefore, the answer is 25 [tex]\frac{5}{11}[/tex]
Hope this helps! :D
2y = 1/4
find the value of y
Answer:
0.125
Step-by-step explanation:
2 * 0.125 = 0.25 (or 1/4)
Answer:
0.125
Step-by-step explanation:
I think not really good at it
As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).
Answer:
A
Step-by-step explanation:
Got it right on edge2020
The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.
What is a function?Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.
For example f(x)= sin x+ cos x
We have,
The Blood pressure of patient with the heart rate = 70 beats/ minute
And,
In next 10 minutes,
The maximum blood pressure i.e. (a + d) = 120 mm/Hg
The maximum blood pressure i.e. (-a + d) = 60 mm/Hg
So,
Sine function works on;
f(x) = a sin(bx + c) +d
So,
Now,
Adding Maximum and Minimum blood pressure,
i.e.
(a+d)+(-a+d) = 120 + 60
⇒a + d - a + d = 180
⇒ 2d = 180
d =90
So,
NOw, substituting this value in maximum blood pressure,
i.e. (a + d) = 120
a + 90 =120
a = 30
we have time period = 10 minutes,
So,
2Π/b = 10
⇒ b = Π/5
So,
Count is started at 0.
So, c = 0,
Putting the above value,
f(x) = a sin(bx + c) +d
⇒f(x) = 30 sin(Πx/5 + 0) +90
⇒f(x) = 30 sin(Πx/5) +90
Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.
Learn more about the modeling click here:
https://brainly.com/question/12070030
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