A sample of college students was asked how much they spent monthly on cell phone plans. approximate the standard deviation for the
cost.
monthly cell phone plan cost (5)
number of students
10.00-19.99
7
20.00-29.99
20
30.00-39.99
28
40.00-49.99
12
50.00-59.99
7
Answers
The mean and the standard deviation of the following data are 35.75 and 11.6765 respectively.
First, we'll find the mean (X) of the data:
[tex]X =\dfrac{(\sum x \times f) } {\sum f}[/tex]
So, the approximate standard deviation for the monthly cell phone plan cost is 9.87.
The mean is given by
[tex]\mu =\frac{\sum xf}{\sum f}[/tex]
Where x is the midpoint of the class and f is the frequency.
The calculation of mean and the standard deviation is shown in the below table:
Hence, the mean is calculated as:
mean is [tex]\mu =\frac{2359.67}{66}[/tex]
=35.75
The standard deviation is calculated as:
Standard deviation =[tex]\sigma[/tex] =[tex]\sqrt{\Dfrac{\sum f(x-\bar{x})^2}{n-1}}[/tex]
=[tex]\sqrt{\dfrac{8862.12121}{65}}[/tex]
=11.6765
Thus, the mean and the standard deviation are 35.75 and 11.6765 respectively.
Learn more about standard deviation here:
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The table of standard deviation is attached below.
Related Questions
Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16
Answers
Answer:
multiply the second equation by - 2
Step-by-step explanation:
Given the 2 equations
5c + 4d = 10 → (1)
3c + 2d = 16 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate d
- 6c - 4d = - 32 → (3)
Add (1) and (3) term by term to eliminate d
- c + 0 = - 22
- c = - 22 ( multiply both sides by - 1 )
c = 22
Substitute c = 22 into either of the 2 equations and solve for d
Substituting into (2)
3(22) + 2d = 16
66 + 2d = 16 ( subtract 66 from both sides )
2d = - 50 ( divide both sides by 2 )
d = - 25
solution is c = 22, d = - 25
Hope it helps
Please answer! I will give brainliest, it would make my day :-)
Write a formula for the given measure. Let P represent the perimeter in inches, and w represent width in inches. Identify which variable depends on which in the formula.
the perimeter of a rectangle with a length of 5 inches
P=
Answers
Step-by-step explanation:
p = perimeter
w = width
let the length be l
as we know that
perimeter of rectangle (p).= 2(l+ w)
p = 2 ( 5+w)
p = 10 + 2w
so here variable p is dependent on the value of w.
hope this will be helpful to you .plz mark my answer as brainlist plzzzz if you find it useful.☺️.
What is the result when 3x3 + 20x2 – 11x – 28 is divided by x + 7?
Answers
Answer:
Step-by-step explanation:
Let's perform this division using synthetic division. The coefficients of the given expression are {3, 20, -11, -28}, and the appropriate divisor is -7 (that comes from x + 7):
-7 / 3 20 -11 -28
-21 7 28
-------------------------------------
3 -1 -4 0
Since the remainder is 0, -7 is a root of the given expression, and the coefficients of the quotient are {3, -1, -4}. The quotient is therefore
3x^2 - x - 4
Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answers
Answer:
√3
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
Plz mark as brainliest :D!
please do them all please
Answers
Answer:
7(3 + 3x) = 21x + 21
2d + 10(4d +4 + 2a) = 20a + 42d + 40
3t + 2x + x = 3t + 3x
5(r + 12) - 25 = 5r + 35
18s + 12rs + 10r - 2rs = 10rs + 10r + 18s
s(12 - 4) + 2 = 8s + 2
w(15 - 3) + 2 + 7w = 19w + 2
Step-by-step explanation:
Help me for a cookie
Answers
Answer:
49
Step-by-step explanation:
SUBTRACTION IDIOT
Answer:
X= 49
Step-by-step explanation:
Right angle= 90 degrees = subtraction (90-41)
Phil is buying a sandwich. He has the following choices.
Bread: wheat (W), italian (I), baguette (B)
Cheese: grated (G), sliced (S)
Meat: chicken (C), turkey (T), fish (F), ham (H)
If each sandwich consists of one type of bread, one type of cheese, and one type of meat, which best represents four of his possible sandwich choices?
WIG, WCT, WGS, WST
WG, WS, WC, WT
WGT, WGF, WSC, WSH
WGSC, WGT, WBS, WGSF
Answers
Answer:
its WG, WS, WC, WT
Step-by-step explanation:
Answer:
wgt, wgf, wsc, wsh
Step-by-step explanation:
how to solve 15x^3/4
Answers
Answer:
3
Simplify —
4
Equation at the end of step
1
:
3
15x • —
4
STEP
2
:
Final result :
45x
———
4
Step-by-step explanation:
Answer:
Well...without the x I know it is 843.75 but I don't know the fraction of it so sorry! I try my best to help people!
7/20% off 25 is what?
Answers
Answer:
As a fraction: 7/80
0.0875
Step-by-step explanation:
If you meant 20% it is 5.
A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be formed from the 13 volunteers.
Answers
The number of different groups of 6 that can be formed from the 13 volunteers is; 1716
How to solve permutation and combination?
This is a combination question that follows that formula;
nCr = n!/(r!(n - r)!)
We are told that the blood bank needs 6 people to help with a blood drive and that 13 have already volunteered.
Thus, number of different groups of 6 that can be formed from the 13 volunteers is;
¹³C₆ = 1716
Read more about Combinations at; https://brainly.com/question/16152577
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How do I solve this?
Answers
Answer:
sin (330)
csc (60)
cos (390)
Step-by-step explanation:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions
The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?
Answers
which expression is equivalent to (x ^4) ^-5
Answers
Answer:1/x^20
Step-by-step explanation:
Answer:
[tex]\frac{1}{x^{20}}[/tex]
Step-by-step explanation:
[tex](x^{4})^{-5}[/tex] = [tex]\frac{1}{(x^{4})^{5}}[/tex] = [tex]\frac{1}{x^{20}}[/tex]
prove that the polynomials are nonnegative a^2-2ab+b^2+c^2
Answers
Answer:
a2 + b2 + c2 - ab - bc - ca
= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)
= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)
= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]
Now we know that, the square of a number is always greater than or equal to zero.
Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.
Now,
a²+b²+c²-ab-bc-ca
= ½ • ( 2a²+2b²+2c²-2ab-2bc -2ca )
= ½ • ( a² -2ab +b² +b² -2bc +c² +c² -2ac +a² )
= ½ • { (a-b)² + (b-c)² + (c-a)² }
For any value of a,b,c
(a-b)² ≥ 0,
(b-c)² ≥ 0,
(c-a)² ≥ 0,
So,
a²+b²+c²-ab-bc-ca = ½ • { (a-b)² + (b-c)² + (c-a)² } ≥ 0 i.e. Non-negative [ proved ]
65/100 as a dollar amount
Answers
Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answers
Answer:
Wmkwkqkw siwiq q wksos ww wkwlwkw wlw
Answer:
$840
Step-by-step explanation:
4000 x .07= 280
280 x 3 = 840
The graph shows two lines, A and B.
у
6
A
B
5
4
3
2
1
-X
0
1
2
3
4
5
6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answers
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answers
Answer:
Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60
Step-by-step explanation:
8 x ÷ 4 = 100 What is the value of x in the equation?
5
A. 5
B. 25
C. 50
D. 200
Answers
Answer:
Hi there. I had put a comment replying to your question as I didn't see any place that I could answer. If you still need it, then the answer was
C. 50
Step-by-step explanation:
8 * 50 = 400
400 / 4 = 100
In any way possible, I hope this helps you! Have a great day!
Yo i need help refer to picture
Answers
Step-by-step explanation:
AA: Two pairs of corresponding angles are equal.
ASA (Angle-Side-Angle)ASA: Two pairs of corresponding angles and the corresponding sides between them are equal. hope this helps you. means similarity would be equal.. I cannot read your paragraphs that well they are too small but I hope this helps you just got to find which paragraph it shows that they AA and AAS a are similar to each other by being equal
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Answers
Answer:
Look Below
Step-by-step explanation:
7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.
The system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
To write a system of inequalities.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given that:
The system of equation of inequalities are
h+s≤35
7h + 9s >_314
Therefore , the system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
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Which linear function represents the table
PLEASE HELP ME ILL GIVE BRAINLIEST
Answers
Answer:
the answer is B y=6x+2
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Hope this helps.
C = -y - a/b
Solve the variable a
Can you please show each step
Answers
Multiply c and y with b
-bc=yb-a
-bc-yb=a
can someone please help me again, i suck at math..
Answers
Answer:
18.55 - 1.75= 16.8
16.8/12= 1.4 oz
Answer- 1.4 oz
Step-by-step explanation:
Sorry if this is wrong, I suck at math, too.
Find the slope between (1,-19) and (-2,7)
Answers
4
Explanation
(1,19) (-2,7)
7-19=-12
-2-1=-3
The divide -12 and -3 and you get 4
Hope this helps
Answer:
m= -26/3
Step-by-step explanation:
I used an app called "M a t h w a y " (with no spaces) you should use it
it is very helpful!
helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz
Answers
Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?
Answers
Answer:
The sample space for given condition is
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)
(1,6),(2,6),(3,6),(4,6),(5,6)
(1,5),(2,5),(3,5),(4,5)
(1,4),(2,4),(3,4)
(1,3),(2,3)
(1,2)
Number of sample space is 28.
Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is
28
2
=
14
1
Step-by-step explanation:
please thank to all my answer and please mark as brilliant
Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)
the ones in parenthisis r the answer choices
Answers
Answer:
Zero frequency:
✔ 351–400
A peak:
✔ 651–700
Step-by-step explanation:
Answer:
zero frequency
351-400
A peak
651-700
Step-by-step explanation:
Can anyone help me with this please?
Answers
Answer: 3/1
Step-by-step explanation:
use the 2 bottom ones
f(n) = 2• (-3)^n
complete the recursive formula of f(n).
f(1) = ____
f(n) = f(n - 1) • ____
Answers
Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation: