The estimated mean of advertising expenses is $52 million, and the estimated standard deviation is $11.23 million.
To estimate the mean and standard deviation of advertising expenses, we need to calculate the midpoint of each class interval, the product of the midpoint and the frequency, and the squared deviation from the mean.
Here's a table to organize the calculations:
Class Interval (x) Frequency (f) Midpoint (x) fx
25 up to 35 5 30 150
35 up to 45 10 40 400
45 up to 55 21 50 1,050
55 up to 65 16 60 960
65 up to 75 8 70 560
To calculate the mean, we need to find the sum of the products of the midpoint and the frequency, divided by the total frequency.
Mean = (fx) / Total Frequency
Mean = (150 + 400 + 1,050 + 960 + 560) / 60
Mean = 3,120 / 60
Mean = 52
Calculate the squared deviation from the mean for each class interval.
(x - mean)² × f
(30 - 52)² × 5 = 484 × 5 = 2,420
(40 - 52)² × 10 = 144 × 10 = 1,440
(50 - 52)² × 21 = 4 × 21 = 84
(60 - 52)² × 16 = 64 × 16 = 1,024
(70 - 52)² × 8 = 324 × 8 = 2,592
Calculate the sum of the squared deviations.
Sum of (x - mean)× f = 2,420 + 1,440 + 84 + 1,024 + 2,592
= 7,560
Standard Deviation =√(Sum of (x - mean)² × f / Total Frequency)
Standard Deviation = √(7,560 / 60)
Standard Deviation = √(126)
Standard Deviation = 11.23
Hence, the estimated mean of advertising expenses is approximately $52 million, and the estimated standard deviation is approximately $11.23 million.
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Complete question
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.)
Advertising Expenditure ($ millions) Number of Companies
25 up to 35 5
35 up to 45 10
45 up to 55 21
55 up to 65 16
65 up to 75 8
Total 60
will mark brainlest Coby needs to know the area and perimeter of his farm property. The length of his property is 1/9 mile and the width is 3/8 mile. What is the area? and What is the perimeter?
Answer for Area :
1/24
Answer for Perimeter :
35/36
Step-by-step explanation:
To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24
To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36
I hope this helped you!! :> Have a great rest of your day!
Answer: area 1/24 perimeter 35/36
Step-by-step explanation:
HEEEELPPPPPPPPP Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?
Answer:
circle with center at (–5, 10), shading inside the circle
Step-by-step explanation:
edge2021
Answer:
A. circle with center at (–5, 10), shading inside the circle
Tell whether the angles are adjacent or vertical. Then find the value of x
Answer:
this is the answer
Step-by-step explanation:
hope this will help you
The angles are adjacent and complementary.
Complementary means they add up to 90 degrees.
3x + 45 = 90
3x = 90 - 55
3x = 45
x = 45/3
x = 15
The value of x is 15 degrees.
The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.
Answer: $16,244.55
Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55
Please help!!! Find the volume of the cylinder.
Round to the nearest tenth.
r= 3 cm
3 cm
V = [ ? ] cm3
Enter the number that goes in the green box.
Answer:
V ≈ 84.8 cm³
General Formulas and Concepts:
Math
π (pi) - 3.14159265RoundingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Identify Variables
Radius r = 3 cm
Height h = 3 cm
Step 2: Find Volume
Substitute in variables [Volume Formula]: V = π(3 cm)²(3 cm)[Volume] Evaluate exponents: V = π(9 cm²)(3 cm)[Volume] Multiply: V = 27π cm³[Volume] Multiply: V = 84.823 cm³[Volume] Round: V ≈ 84.8 cm³What three things could happen to an organism if its environment changes?
Answer:
Plants may die because they are not used to the new environmental change.
Step-by-step explanation:
animals might lack food and water. If organisms cannot adapt to the changes in their ecosystem, they may move to another location. If they will not move, the species may become threatened, endangered or extinct.
Answer:
it could die, it good get over populated, it could get better living secumstances
Step-by-step explanation:
HELP!!!!!!!
Functions f(x) and g(x) are shown:
f(x) = x2 g(x) = x2 + 8x + 16
In which direction and by how many units should f(x) be shifted to match g(x)?
A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units
Answer:
Option A, Left by 4 units
Step-by-step explanation:
Step 1: Convert g(x) to a function square
We currently have g(x) in this order: [tex]ax^2 + bx + c[/tex]
However, we want g(x) to be in this order: [tex](ax + c)^{2}[/tex]
The first thing we have to do is to factor it out:
[tex]g(x)=x^{2}+8x+16[/tex]
[tex]g(x) = (x + 4)(x + 4)[/tex]
[tex]g(x) = (x+4)^{2}[/tex]
Step 2: Now we can see which way we need to move it
The original form is: [tex]f(x) = (ax - b)^{2}[/tex]
Since the - has changed to a +, that means that we moved -4 spaces down the x-axis. This means that we move left by 4 units.
Answer: Option A, Left by 4 units
Look at the graphs below to make sure:
Answer:
A.) Left By 4 Units
Step-by-step explanation:
Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 + 8x + 16
The direction in which and by how many units the f(x) should be shifted to obtain the g(x) is given by as follows.
Given,
f(x) = x²
g(x) = x² + 8x + 16
we have to consider, the dependent term while selecting the direction.
Therefore, except x², only x term is dependent term.
In g(x), the x term is given by 8.
Therefore, we need to shift the f(x) left by 4 units.
Therefore, option A is correct.
Please help I want to make sure that I’m doing this right
J)
B
с
173"
87"
A
Find the measure of ZC.
-) :
A:
A)
10°
B)
14°
20°
D)
30°
Answer:
I think it's C im not certain
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
So we substitute the point given x=-5 and y = -3 to see if this solves both equations at the same time so
3(-5) - 9(-3) = 12 -> -15+27 = 12 -> 12 = 12 [this one works]
8(-5) - 14 (-3) = 2 -> -40 + 42 = 2 -> 2=2 [this one works also]
Since (-5,-3) is a solution to both equations, then this is a solution to this system
Answer: Yes
Step-by-step explanation:
Here
x = -5
y = -3
3x - 9y = 12
Here if you substitute x and y,
3 * (-5) - 9 * (-3)
(-15) - (-27)
=12
8x - 14y = 2
8 * (-5) - 14 * (-3)
(-40) - (-42)
= 2
the quotient of a number and 2
Answer:
what is the question?
Step-by-step explanation:
.????
Answer these both correctly I’ll give brainalist + 13 points
Answer: you have it right
Step-by-step explanation:
Answer:
1. Sumpplemtery 2. Complementary.
Step-by-step explanation:
Need the answer been stuck on this
Answer:
19 cm³
Step-by-step explanation:
The figure cam be decomposed into two cuboid.
✔️Dimension of cuboid 1:
L = 2 cm
W = 1 cm
H = 8 - 3 = 5 cm
Volume = L * W * H
Volume = 2*1*5 = 10 cm³
✔️Dimension of cuboid 2:
L = 3 cm
W = 1 cm
H = 3 cm
Volume = L*W*H = 3*1*3
Volume = 9 cm³
✅Volume of the irregular figure = 10 + 9 = 19 cm³
What is the multiplicative inverse of y?
Answer:
The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
Step-by-step explanation:
Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.
Let the multiplicative inverse of y be represented by a, so that;
a x y = 1
ay = 1
divide both sides by y to have,
a = [tex]\frac{1}{y}[/tex]
Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
This is applicable to any given value. Examples:
i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].
⇒ 2 x [tex]\frac{1}{2}[/tex] = 1
ii. What is the multiplicative inverse of 5?
The required answer is [tex]\frac{1}{5}[/tex].
3
Se registró el número de puntos que hizo mejor jugador del equipo Los Cimarrones en cada partido
de la pasada temporada de baloncesto. Los resultados fueron
15 12 18
18 22 23 24 18 22 2
12 14 28 11
14 17 26
14 20
Halle la moda, media y mediana, no olviden ordenar de menor a mayor
WILL GIVE BRAINLESS
what is the missing number of 4:9=36:
Answer:
81
Step-by-step explanation:
4 : 9
36 : ?
to get from 4 to 36, you multiply 9
9 x 9 = 81
please help i will mark brainliest!
Answer:
4,2,1
Step-by-step explanation:
Answer:
(-2 [tex]\frac{1}{2\\}[/tex], -7) would be in 3.
(0,6) would be on the y axis.
(-5,0) would be on the x axis.
Step-by-step explanation
(-2[tex]\frac{1}{2}[/tex],-7) are both negatives since quadrant 1 is positive x and y, quadrant 2 x is positive and y is negative, quadrant 3 is negative x and y, and quadrant 4 is negative x positive y.
(0,6) and (-5,0) is all about which number is x. Every x coordinant comes first.
1. A bag of 12 oranges costs $2.99. What is the cost per orange?
2. 4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza?
3. 4 pieces of candy cost $0.99. At this rate, what is the cost of 7 pieces of candy?
Answer:
1- $ 0.25.
2- $ 26.25.
3- $ 1.73.
Step-by-step explanation:
1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:
2.99 / 12 = X
0.249 = X
Thus, the cost of each orange is $ 0.25.
2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:
10.5 / 4 x 10 = X
2.625 x 10 = X
26.25 = X
Thus, the cost of 10 slices of pizza is $ 26.25.
3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:
0.99 / 4 x 7 = X
0.2475 x 7 = X
1.7325 = X
Thus, the cost of 7 pieces of candy is $ 1.73.
What is the value of x?
60°
/700
x
0 130
O 110
60
050
The leading digit cannot be zero and the number must be a multiple of 3
10b - 5a + 6c
if a=6 b=8 and C=5
Then what’a the answer?
Answer:
80
Step-by-step explanation:
10b - 5a + 6c
substitute the values
10(8) - 5(6) + 6(5)
80 - 30 + 30
=80
13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?
Answer:
$460.25
Step-by-step explanation:
350 + .065(350) + .25(350)
= 350 + 22.75 + 87.5
$460.25
WILL MARK BRAINLYIST
Answer:
A, verticle angles
Step-by-step explanation:
verticle angles are pairs of opposite angles made by two intersecting lines.
Pls help me with this problem. Also the answer has to be in terms of pi
When you solve the system shown by the elimination method, which statement is true?
y + 3x = 10
−y − 3x = 10
Answer:
B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.
Step-by-step explanation:
According to the elimination method, the two equations are
y + 3x = 10
−y − 3x = 10
If we solve it
0 = 20
As x and y would be eliminated due to positive and negative signs
Therefore the option b is correct
HELP ASAP!!!!!! PLEASE
Answer:
(x,y) --> (-y,-x) is the rule
Step-by-step explanation:
(-1,3) to (-3,1)
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
3+(4x4+1)x2. Due tomorrow morning at 12:00!
Charlie, Alexander, and Nate went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added.
A) How much was the sales tax?
B)How much was the total bill including tax?
C) The group then tipped 18% on the amount after the sales tax was added. How much did they leave as a tip?
D)What was the total cost of lunch including tax and tip?
Answer:
A.$3.00
B.$40.50
C.$7.29
D.$47.79
BRAINLIEST PLEASE!!!!!!!!!!!!!!!!!!!!(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320
Answer:
listen i would do this for u bit i gtg so what u can do is:
Step-by-step explanation:
time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them
Does the graph show a proportional relationship between time and the total charge? Explain.