What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99
Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
Learn more about standard deviations here:
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En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?
Answer:
La escala es 1 : 10000 centimetros
Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.
Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.
Plz help very important question!!!!!
Answer:
Domain: [1, 6]
Range: [1, 7]
General Formulas and Concepts:
Alg I
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
We can find our domain and range from looking from the graph.
Domain
Domain encompasses x-values. According to the graph, the x-values span from 1 to 6. Since both are closed dots, they are included in the domain:
[1, 6] or 1 ≤ x ≤ 6
Range
Range encompasses y-values. According to the graph, the y-values span from 1 to 7. Since both are closed dots, they are included in the range:
[1, 7] or 1 ≤ x ≤ 7
Easy way to remember this: for Domain, look only at the x-axis and for Range, look only for the y-axis.
Three years ago Jolene by $800 worth of stock in a software company since in the value of her purchase has been increasing average rate of 12 1/2 cent per year how much is the stock worth now
Answer:
The value of stock now = $966.35Step-by-step explanation:Given in question as, Three ... Three years ago, Jolene bought $800 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 6.5% per year.
Step-by-step explanation:
Answer:
£1464.84 is your answer
Step-by-step explanation:
Depending on whether you use simple or compound interest. I would think the stock would be worth:
$
750
×
1.25
=
$
937.50
at the end of one year,
$
937.50
×
1.25
=
$
1171.88
at the end of two years, and
$
1171.88
×
1.25
=
$
1464.84
at the end of three years.
Or, if you want to compute it in one shot,
$
750
×
1.25
3
=
$
1464.84
.
PLS HELP!
WILL GIVE BRAINLIEST!
:)
Answer:
1.three sides polygon have
2. i think 11- gons has regular properties so the equation for this would be 1620 divided by 11 and it equals 147.27 so the meauser of the interirinangle of a 11-gon is about 147.27 degrees.
3.8 sides
Step-by-step explanation: if the sum of the angles is 10,800 degrees and each angle is 1,350 degrees, the deck will have the number of sides of the sum of the angle measurements divided by each angls measurmeasur.ments
10,800/1,350=1,080/135= 8 sides
Pease mark me brainlist.
Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why??
Holly is correct. Repeating decimals are always rational numbers.
Holly is correct. The number is positive and all positive numbers are rational.
Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answer:
D. Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLEASE HELP 15 POINTS...PLEASE HELP
Answer:
-3/3
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?
Answer:
1 pound of avocado costs $1.8
Step-by-step explanation:
Allow me to rewrite your question for a better understanding and hope it ill fit the original one:
The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?
Here is my answer:
Given that:
5 pounds avocados = $9
They want to find out:
cost of 1 pound of avocado
So we use division to solve this problem:
$9:5 pounds = $1.8/pound or:
1 pound of avocado costs $1.8
Hope it will find you well
Thank you.
can i get brainliest by any chance i need 2 more
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
4n+3< 6n+8 -2n what is n
Answer:
[tex]8>3[/tex]
Step-by-step explanation:
STEP 1: Rewrite so n is on the left side of the inequality.
[tex]6n+8-2n>4n+3[/tex]
STEP 2: Subtract 2 n from 6 n .
[tex]4n+8>4n+3[/tex]
STEP 3: Move all terms containing n to the left side of the inequality.
[tex]8>3[/tex]
Work out the area of Triangle ABC
Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm
The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].
Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]
[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]
and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]
So using algebraic rules you'll get [tex]B[/tex] as:
[tex]\sqrt{2}[/tex]
Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answer:
4
Step-by-step explanation:
25/100 x 80/1 = 20/1
80 - 20 = 60
30/100 x 80/1 = 24/1
80 - 24 = 56
60-56=4
What is the equation of this graphed line?
(0,7)
(8,-2)
Enter your answer in slope-intercept form in the box.
Answer: y=-9/8x+7
Step-by-step explanation:
Answer:
[tex]y = \frac{ - 9}{8} x + 7[/tex]
Step-by-step explanation:
Slope intercept form is
y=mx+b
(m) is slope
(b) is y intercept
The y intercept is where ethe line crosses the y axis [vertical axis]
The line crosses at (0, 7)so our b=7, now we need slope.
The formula for slope is (y₂-y₁)/(x₂-x₁),
which is the y of the second given point minus the y of the first given point divided by the x of the second given point over the x of the 1st given point.
(-2-7)/(8-0)
-9/8 is our slope
put our (m) and (b) into the formula
y=-9/8x+7
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
Which of the following results in the expression 0.86 x 22?
Answer: 18.92
Step-by-step explanation: Multiply
22 by 0.86
Answer:
18.92
Step-by-step explanation:
Multiply 0.86 times 22
Plz help me with this question if you can explain plz do also thank you!!
Answer:
The answer is b because h = hours and 45 is the mph
Step-by-step explanation:
Convert − 6 7to a decimal. Go out 3 decimal places and round as appropriate.
Answer:
-0.85714285714
Rounded answer:
-0.86
Step-by-step explanation:
what is the slope of ( -4,-1) , (8 - -7)
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2
Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
What is the y-intercept of the graph of the linear function?
Ms. Johnson has 8 children in her preschool class. She
would like to give each student an equal number of
chocolates. If each child got 18 chocolates, how many
did she start with?
total number of students = 8
each student = 18 chocolate
so, total number of chocolates = 18×8 = 144 chocolate s
cam wants to find 509-106. which steps can he use to find the difference
Answer:
C.
Step-by-step explanation:
the answer is 403
Answer:
C
Step-by-step explanation:
It wouldn't be A since 5 - 1 you would get 4 hundred not 4 tens. It wouldnt be B because 9 - 6 you would get 3 ones not 3 hundreds and 5-1 you would get 4 hundreds not 4 ones. It wouldnt be D because 9-6 would be 3 ones not 3 tens. Hope I helped ! Good luck !
You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes?
Answer:
98 grams
Step-by-step explanation:
The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98
A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3hours, 3.5 hours.
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
9 miles in 2/3 of a hour.
in 1 hour = 9 X 3/2 = 18.2 miles
In 2 hrs = 27 miles
in 3 hrs = 54.6 miles
in 3.5 hrs = 63.7 miles
whats the slope of (-1,4) and (-2,5)
Answer:
m=-1
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation: Use the slope formula to find the slope m.