Researchers want to determine whether all frozen pizzas have the same proportion of toppings regardless of the brand of pizza. To test this, they sampled randomly pizzas of each brand and recorded their findings in the table.
Brand Topping
Pepperoni Sausage Onion Mushrooms
Digiorno 14 21 17 17
Tombstone 11 8 10 6
Red Baron® 17 13 14 11
Tony's 9 17 15 18
Part A: What are the correct degrees of freedom for this table? (2 points)
Part B: Calculate the expected count for the number of pepperoni for Red Baron® pizza. Show your work.
Part C: Is there sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza? Provide a statistical justification for your conclusion.
The degree of freedom is 9 and expected amount for the number of pepperoni for Red Baron is 12.867.
How to calculate the degree of freedom?The degree of freedom will be calculated thus:
= (Number of rows - 1) × (Number of columns - 1)
= (4 - 1)(4 - 1)
= 3 × 3 = 9
The expected amount for the number of pepperoni for Red Baron will be:
= (55 × 51) / 218
= 12.867
Also, the p value is 0.6023 and this indicates that there is no sufficient evidence that there is a difference in the proportion of toppings for the different brands of pizza since p value is greater than 0.05.
Learn more about degree of freedom on:
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Lindiwe is twice as old as Preeya and six years older than Sue . Their combined ages total 39 years . How old is Lindiwe
Answer:
Lindiwe is 18
Step-by-step explanation:
Lindiwe = L
Preeya = L/2
Sue = L-6
Their combined ages total 39 years
L+(L/2) + L-6 = 39
2.5L = 45
L=18
Lindiwe=18
Preeya= 9 (half of Lindiwe)
Sue = 12 (6 lessthan Lindiwe)
18+9+12 = 39
How many scores does the line plot represent
Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.
Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.
El diagrama circular se construye con la ayuda de un transportador de ángulos.
Ejemplo
En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.
Please, I Really Need Help!
Steve bought a used banjo for $395.00 at a music store. He was charged $425.89 for the purchase. Find the sales tax and the sales tax rate.
Sales tax rate is_____%(Round to the nearest tenth of a percent.)
Answer:
3090%
Step-by-step explanation:
425.89 - 395.00 = 30.89
Round to the nearest tenth = 30.9
Convert to a percentage = 3090%
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
the volume of a sphere (= a ball) =
4/3 × pi × r³
r (radius) is half of the diameter = 8.8/2 = 4.4 in
so, one ball has a volume of
4/3 × pi × (4.4)³ = 4/3 × pi × 85,184 = 113.5786667...×pi
6 balls are 6 times
113.5786667... × pi × 6 = 681.472...×pi in³
What is the measure of the given angle in radians
Answer:
[tex]\frac{11\pi }{6}[/tex]
Step-by-step explanation:
To convert an angle from degrees to radians, you need to multiply the degrees by [tex]\frac{\pi }{180}[/tex].
[tex]\frac{330}{1}[/tex] × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{330\pi }{180}[/tex]
[tex]\frac{330\pi }{180}=\frac{11\pi }{6}[/tex]
How do you find the surface area of a cube
The formula is : A=6a^2
So lets say its a cube with edge lengths of 4
We first find out the area of each side by multiplying 4*4
They you multiple the answer of that, 16, by 6, for each of the sides.
A = 96 Units ^2
Name a pair of Alternate Exterior Angles
Answer: Z and M
or
N and Y
Step-by-step explanation:
Well alternate exterior angles are located on the outside of the two parallel lines, but on opposite sides of each other.
So you could say its N and Y or Z and M
Which is the equation of a line that has a slope of -5 and a y-intercept of -3? Show me how you arrived at your answer.
a) 2y = -5x - 3
b) -2y = 10x - 6
c) -2y = 10x + 6
d) 2y = 10x - 6
Answer:
c) -2y = 10x + 6
Step-by-step explanation:
The equation of a line in slope-intercept form is:
[tex]y=mx+b[/tex]
The variables stand for:
[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]
Plugging in the given information into the equation:
[tex]y=-5x+(-3)\\y=-5x-3[/tex]
Go through the answer choices:
a) 2y = -5x - 3
Divide both sides of the equation by 2
[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]
b) -2y = 10x - 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]
c) -2y = 10x + 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]
d) 2y = 10x - 6
Divide both sides of the equation by 2
[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]
Therefore the answer is c) -2y = 10x + 6
Additional Comments:
We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.
anyone know the awnser to this?
Answer:
61
Step-by-step explanation:
straight line = 180 degree
to find the measure of angle QPR,
subtract 119 from 180
=> 180-119
=> 61
angle QPR = 61 degree
Answer:
Hope the picture will help you!!
What is slope intercept form?
Question 8 options:
x = ym + b form of a linear equation
y= mx + b form of a linear equation
m = x form of a linear equation
b= m + y form of a linear equation
At a farmers market, taylor buys 4 pounds of cherries, 2 pounds of strawberries, and 3 pounds of blueberries for $29.51. heather buys 1 pound
of cherries, 4 pounds of strawberries, and 2 pounds of blueberries for $21.83. jamle buys 2 pounds of cherries and 5 pounds of strawberries for
$21.93.
which system of equations models this situation, where crepresents cherries, s represents strawberries, and b represents blueberries?
The system of equations that model the situation is:
4c + 2s+ 3b == $29.51
c + 4s + 2b = $21.83
2c + 5s = $21.93
What are simultaneous equations?Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.
Methods of solving simultaneous equations are:
Elimination method Graph method Substitution methodTo learn more about simultaneous equations, please check: https://brainly.com/question/25875552
I need help with this what is the answer to this problem?
Answer:
62.9 inches^3
Step-by-step explanation:
Find the area of both using the formulas then add them togther
r = radius = 4/2 = 2
h = height = ;cone = 3;cylinder = 4
cylinder volume = pie*2^2*4=50.3
cone volume = pie *2^2*3/3=12.6
total = 62.9 inches^3
Abby has four pieces of ribbon for a project. The lengths of the ribbons are 3.7 cm, 2.9 cm, 2.6 cm, and 3.5 cm. What is the measure of the shortest ribbon?
3.7 cm
2.9 cm
2.6 cm
3.5 cm
Answer:
2.6 cm is the correct answer
Step-by-step explanation:
Answer:
2.6 cm
Step-by-step explanation:
it is the shortest
(5.1)*x=(0.51)*y=1000,find the value of 1/x-1/y
Answer: 0.00459
Step-by-step explanation:
The half-life of a radioactive kind of barium is 3 minutes. If you start with 9,152 grams of it, how much will be left after 12 minutes?
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &9152\\ t=\textit{elapsed time}\dotfill &12\\ h=\textit{half-life}\dotfill &3 \end{cases} \\\\\\ A=9152\left( \frac{1}{2} \right)^{\frac{12}{3}}\implies A=9152\left( \frac{1}{2} \right)^4\implies A=572[/tex]
selling price of a toy is 2 times the cost price . when selling the toy the shopkeeper makes a profit or rs 20 . what is the cost price
Answer:
rs 20
Step-by-step explanation:
20=2x-x
20=x
cost price=x=rs20
selling price=2x=rs40
profit=rs20
Please find x ft, pleeaase help
Answer:
x=238 plus 0
Step-by-step explanation:
think
how to work out 4.2 × 0.03. Show the working not the answer straight! Show how you got the answer.
Answer:
1.26
Step-by-step explanation:
To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.
Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.
Thus, 4.2*0.03=1.260=1.26
ANSWER ASAP PLS! WILL GIVE MAX PTS Three times x is 13 less than y. The sum of x and two times y is 12. Write two equations and graph to find the value of y.
Group of answer choices
y = -2
y = 2
y = 7
y = -7
Solution For Given Question
Three times x is 13 less than y
[tex]3x = y - 13 \\ = > 3x + 13 = y[/tex]
The sum of x and two times y is 12.
[tex]x + 2y = 12[/tex]
Replacing Value of Y with 3x + 13
[tex]x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel\frac{ - 14}{7} \\ \\ \implies x = - 2[/tex]
Now we need to fine Value of'y' i e.,
[tex]y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7[/tex]
[tex] \therefore \text{option c.(y = 7) is your answer}[/tex]
Hope this helpsWhat is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
2 must be factored from 2x – 7
–4 must be factored from –4x2 + 2x
x must be factored from –4x2 + 2x
–4 must be factored from –4x2 – 7
Answer:
–4 must be factored from –4x2 + 2x
What is one-fourth divided by 4 wholes
Find the value of m, expressed as a common fraction so that this relation is not a function.
{(-2m+1,-4),(-6m+8,0)}
Answer:
m = 7/4Step-by-step explanation:
If the two points have same input with different outputs, then this relationship is not a function, according to definition of the function.Make the x-values same and solve for m
- 2m + 1 = - 6m + 86m - 2m = 8 - 14m = 7m = 7/4Let's see
x must be equal on both sides as it's not a function
-2m+1=-6m+84m=8-14m=7m=7/4Find the length of the third side. If necessary, round to the nearest tenth.
4
Answer:
x=2.6
Step-by-step explanation:
We can use the Pythagorean theorem to find the third side
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + x^2 = 4^2 where x is the unknown side
9 + x^2 = 16
Subtract 9 from each side
x^2 = 16-9
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x =2.645751311
Rounding to the nearest tenth
x = 2.6
Answer:
2.65
Step-by-step explanation:
take the length of the third side as x
so,take Pythagoras theorem
4^2=3^2+x^2
16=9+x^2
x^2=16-9
x^2=7
x=√7
x=2.645
x=2.65
write an equation for an arithmic sequence such that t(3)=13 and t(12)=67 HELP ASAP
Answer:
t(n) = 1 +6(n -1)
Step-by-step explanation:
The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...
t(n) = t(1) +d(n -1)
__
Using the two given values of n and t(n), we can find the unknown parameters.
13 = t(3) = t(1) +d(3 -1) = t(1) +2d
67 = t(12) = t(1) +d(12 -1) = t(1) +11d
Subtracting the first equation from the second, we get ...
(67) -(13) = (t(1) +11d) -(t(1) +2d)
54 = 9d . . . . simplify
6 = d . . . . . . divide by 9
Substituting into the first equation gives ...
13 = t(1) +2(6)
1 = t(1) . . . . . . . . subtract 12
Using the found values in the equation for the sequence gives ...
t(n) = 1 +6(n -1)
Select all ratios equivalent to 3:5.
13:30
4:15
6:10
Answer:
6:10
Step-by-step explanation:
3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong
Answer:
6:10 is the only ratio equivalent to 3:5
Step-by-step explanation:
its not the first one because 5 goes into 30 6 times and 3*6=18 not 13
4:15 isn't possible either because 5 goes into 15 3 times and 3*3=9 not 4
the last one is correct because 3*2=6 and 5*2=10
need quick help pleaseee
Answer:
1080°
Step-by-step explanation:
(n - 2) x 180
n = number of sides = 8
(8 - 2) × 180 = 1080°
pls help me to answer this
Own words*
Answer:
I hope it will help you.
Step-by-step explanation:
Dear Teacher
Your way of setting up with math makes it easier to learn.
There's few lines for you. I hope you like it
An Awesome Math
Teacher Is Hard To Find
Difficult To Part With,
And IMPOSSIBLE To Forget.
MATH may not teach us how to ADD love or SUBTRACT hate but it gives us hope that EVERY PROBLEM has a SOLUTION.
PLEASE HELP!! 30 POINTS
Find the measure of arc ZWX if XR and WZ are diameters.
Answer:
13πr/60 units
Step-by-step explanation:
Formula
arc length = radius x degree measureSolving
2πr x θ/360πr x 39/18039πr/18013πr/60 units100 POINTS AND BRAINLYEST
