A local amusement park has 30 rides that park visitors can go on. The following table shows the relative frequency distribution for the number of rides that a park visitor will typically go on during one day at the park. The table also shows the deviation, or difference, from 21, the mean of the distribution. Number of rides and attractions 10 15 20 25 30 Deviation −11 −6 −1 4 9 Relative frequency 0.1 0.2 0.2 0.4 0.1 Which of the following is closest to the standard deviation of the distribution? 5.83 5.83 A 7.07 7.07 B 7.90 7.90 C 20 20 D 34
Answer:
5.83
Step-by-step explanation:
Find the mean:
10(.1) + 15(.2) + 20(.2) + 25(.4) + 3-).1)
u = 21
Find the standard deviation:
[tex]\sqrt{(10 -21)x^{2} (.1) + (15 -21)x^{2} (.2)+(20-21)x^{2} (.2)+(25-21)x^{2} (.4)+(30-21)x^{2} (.1)}[/tex]= 5.83
The standard deviation is of 5.83.
The expected value is given by each value multiplied by it's relative frequency, thus:
[tex]E(X) = 0.1(10) + 0.2(15) + 0.2(20) + 0.4(25) + 0.1(30) = 21[/tex]
The standard deviation is given by the square root of the sum of the difference squared of each value and the mean, multiplied by it's relative frequency.
Then:
[tex]\sqrt{V(X)} = \sqrt{0.1(10 - 21)^2 + 0.2(15 - 21)^2 + 0.2(20 - 21)^2 + 0.4(25 - 21)^2 + 0.1(30 - 21)^2} = 5.83[/tex]
The standard deviation is of 5.83.
A similar problem is given at https://brainly.com/question/24628525
what is 11÷132?? anwser please
Answer:
11÷132= 0.0833333333
but i think u wanted this answer
132÷11= 12
The side of a cube is increasing at a rate of 2 kilometers per hour. At a certain instant, the side is 1.5. What is the rate of change of the volume of the cube at that instant (in cubic kilometers per hour)?
Answer:
dV/dt = 13,5 [Km³/h]
Step-by-step explanation:
The volume f the cube is:
V = x³ where x is a side of the cube, then tacking derivatives with respect to time on both sides of the equation
dV/dt = 3*x² dx/dt
dx/dt = 2 km/h
at the time when the side x = 1,5 Km
dV/dt = 3* (1,5)²*2 [km³/h]
dV/dt = 13,5 [Km³/h]
Two lines that have the same slope and different y intercepts do not intersect at any points.
True
False
Answer:
True
Step-by-step explanation:
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
Which sets of ordered pairs represent a function? Select all that apply.
A {(3,5), (4, -1), (2, -1), (2, 7), (-3, 6)}
B {(-3, 9), (-2, 4), (-1, 1), (0, 0), (1, 1)}
C {(1, 1), (4, 2), (9, 3), (16, 4), (25, 5)}
D {(9, -3), (4, -2), (1, -1), (0, 0), (1, 1)}
Answer:
C because X values can't be repeated
Step-by-step explanation:
Questions in pic plz help
Answer:
i think its c
Step-by-step explanation:
Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.
Answer:
y=-2x-9
Step-by-step explanation:
First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.
Parallel lines have the same slope.
So, the slope of the new line will also be -2x.
Now, use the given coordinates and put them and the slope into point-slope form.
Point slope: y-y1=m(x-x1)
y+3=-2(x+3)
Finally, distribute -2 to (x+3) and simplify the equation.
y+3=-2x-6
y=-2x-9
Find the size of unknown angles
Answer:
in one angle there is 90 degres
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
2. Phan went grocery shopping and purchased 8 loaves of bread that cost $1.48 each, 4 bags of milk that
cost $4.33 each, and 2 boxes of cereal that cost $5.25 each.
Answer:
39.66
Step-by-step explanation:
i think your asking how much his total is going to be you didnt put the whole question so I really dont know
There are more than 3 gallons of gas in Berk’s car.
g > 3
A number line going from 2 to 5. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 2 to 5. A closed circle is at 3. Everything to the right of the circle is shaded.
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Answer:
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Step-by-step explanation:
If it is < or > there will be an open circle
If it is ≤ or ≥ there will be a closed circle
On a number line the numbers get larger the more it goes to the right
Answer:
the answer is c
Step-by-step explanation:
the other guy is right he just made his answer really long.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11% a. Write an exponential function to model the deer population in terms of the number of years from now. B. Explain what each value in the model represents . . Predict the number of deer that will be in the region after five years. Show your work.
Answer:
Formula : V = I (1 + R)^T , Deers after 5 years ≈ 556
Step-by-step explanation:
Exponential formula for final value 'v' - for initial value 'i' at growth rate 'r' for a period of time 't'
V = I (1 + R)^T
As per given deer case, I = 330 & R = 11% = 0.11
V = 330 ( 1 + 0.11 )^t
Predicted deers after 5 years, V = 330 (1.11)^5
330 x 1.685 = 556.05
In the supermarket, there were 434 boxes of cereal, 285 gallons of milk, and 176 cans of orange juice. About how many
breakfast items were there? Use rounding to the nearest hundred to estimate the total number of breakfast items.
Answer:
900
Step-by-step explanation:
434+285+176 is 895,895 to the nearest hundred is 900
A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =
Someone help plz right answer gets brainliest
Answer:
what is the question
Step-by-step explanation:
Answer:
What do you need help with?
If 99 candies are needed to fill in a jar, calculate the total candies needed to fill in 108 jars.
Answer:
10,692 candies
Step-by-step explanation:
Answer:
207
Step-by-step explanation:
how do you find the nth term of a sequence? (don't paste from Google if you don't know)
the sequence is
-1,-3,-5,-7....
Please help!
if the ball family has a child in 8 years how much can I expect to spend to raise a child per year from birth to 5 years of age ?
A). $22,800
B). $21,530
C). $20,890
D).$18,240
Answer: 22,800
Step-by-step explanation: Depends on what you do that year
17,12,13,14 whats the middle
Answer:
6.75
Step-by-step explanation:
Put them in order from least to greatest
12, 13, 14, 17
Add the middle numbers together
13+14=27
Divide the amount of numbers in the set
27/4=6.75
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
Four times the sum of a number and seven is twenty three.
Answer:
[tex]\frac{-5}{4}[/tex]
Step-by-step explanation:
You're going to want to set up an algebraic equation to solve this. It would look like this: 4(x+7)=23. Using distributive property, you'd get 4x+28=23. Subtract 28 from both sides to isolate 4x, and you'd get 4x=-5. Divide by 4 on both sides to isolate x and you'd get x=[tex]\frac{-5}{4}[/tex].
CHECK:
To check, plug in x.
4([tex]\frac{-5}{4}[/tex]+7)=23.
Use distributive property and get [tex]\frac{-20}{4}[/tex]+28=23. This simplifies to -5+28=23, which is correct.
ILL GIVE BRAINLEYyyyyyyy
Answer:
2+10x-x^2, the last answer
Step-by-step explanation:
I need help with this, I can't figure it out.
Answer:
- 4, 13, - 21, 47
Step-by-step explanation:
Using the recursive rule and a₁ = - 4 , then
a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13
a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21
a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47
Thus the first 4 terms are - 4, 13, - 21, 47
PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.
The mass of Jupiter is about -----times the mass of Venus.
Answer:
The mass of the jupitor is 1444864 times the mass of the venus.
Step-by-step explanation:
find the greatest common factor and the least common multiple of 12 and 20 explain
I’ll give brainleast
Answer:
GCF: 4
LCM: 60
PLEASE HELP
Find the value of x. Write your answer in simplest radical form, if necessary.
The value of 'x' or the length of the base of the triangle is [tex]\sqrt{141}[/tex] units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
The given triangle has a hypotenuse of 25 units and a height of 22 units.
Therefore,
Hypotenuse² = Base² + Height².
Base² = Hypotenuse² - Height².
Base = [tex]\sqrt{Hypotenuse^2 - Height^2}[/tex].
Base = [tex]\sqrt{25^2 - 22^2}[/tex].
Base = [tex]\sqrt{625 - 484}[/tex].
Base = [tex]\sqrt{141}[/tex].
So, The length of the base is [tex]\sqrt{141}[/tex] units.
learn more about Pythagoras's theorem here :
https://brainly.com/question/10174253
#SPJ2
In 2006, there were 72 million dogs in U.S. Homes. In 2010, there were 70 million dogs. What was the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010? A. about 0.03% B. about 0.97% C. about 3% D. about 97% Speed: NormalVoice: Female Volume: 70%
Answer: C. about 3%
Step-by-step explanation:
In 2006 , Number of dogs in U.S. dogs = 72 million
In 2010, Number of dogs in U.S. dogs = 70 million
The percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 =
[tex]\dfrac{\text{Change in number of dogs}}{\text{Number of dogs in 2006}}\times100\%\\\\=\dfrac{(72-70)\text{ million}}{70\text{ million}}\times100\%\\\\=\dfrac{2}{7}\times10\%\approx3\%[/tex]
So, the percent decrease in the number of dogs in U.S. Homes from 2006 to 2010 was about 3%.
Hence, the correct option is C. about 3%
Write an equation for the line that passes through
(2,7) and (-1,-8)
Answer:
slope = 5
y intercept = -3
Equation = y=5x-3
Step-by-step explanation:
-8-7/(-1-2)=5
plug in a point to find y intercept
7=5(2)+b
solve for b
b=-3
write final equation:
y=5x-3
(can I get brainliest please)
To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True
False
Answer:
false
Step-by-step explanation:
I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.
I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.
What is the value of x if
4x - 9 = 11?
A. 1/2
B.2
C.5
D.20
Answer:
C
Step-by-step explanation:
Answer: 4x-9=11
4(5)-9=11
20-9=11
11=11
Step-by-step explanation:
