A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.
Answers
Final answer:
There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.
Explanation:
Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.
Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.
Therefore, there are 12 varieties of pizza available based on the given options.
The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:
[tex]\[ 2 \times 64 = 128 \][/tex]
Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.
To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:
1. The type of pizza crust (hand-tossed or pan).
2. The combination of toppings (from a set of six available toppings).
Step-by-Step Calculation
Step 1: Determine the choices for the type of pizza crustThere are 2 types of crusts available:
- Hand-tossed
- Pan
This gives us 2 choices for the crust.
Step 2: Determine the choices for the toppingsFor each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.
Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):
[tex]\[2^{6} \text{ combinations of toppings}\][/tex]
Calculating this gives:
[tex]\[2^{6} = 64 \text{ combinations}\][/tex]
Step 3: Combine the choices for crust and toppingsThe total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.
[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]
Therefore, the number of possible outcomes in the sample space is:
[tex]\[\boxed{128}\][/tex]
Related Questions
If point N is translated 6 units to the left and 5 units down, what are the coordinates of N'?
Answers
Answer:
(-6, -5)
Step-by-step explanation:
Let the position of point N (0,0)
As we know in a graph, a graph consist of horizontal and vertical lines.
The horizontal line, known as x axis, consist of negative numbers on the left side of number line and positive numbers on right side of number line separated by 0.
Similarly, the vertical line , also know as y axis consist of negative numbers on the below side of number line and positive numbers on above side of number line separated by 0.
If we translate point N 6 units to left from origin, then the x coordinate is -6
Similarly, if we translate 5 units to down, than y coordinate is -5
Hence, the coordinates are (-6,-5)
How do you subtract mixed numbers
Answers
8 5/6 8 15/18
- = - = 6 7/18
2 4/9 2 8/18
So your answer is 6 and 7 over 18
please help me how do u write in y intercept form a line that goes through (0,2) , (4,1) with a slope of -2??
Answers
(0, 2), (4, 1); m = -2
Plug the numbers in. I will use (0, 2).
y - 2 = -2(x - 0)
y - 2 = -2x
y = -2x + 2
Please contact me if you have further questions.
Barney has a balance of $780 on a credit card with an APR of 31.3%, compounded monthly. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 19.1%, compounded monthly? (Assume that Barney will make no payments or new purchases during the year, and ignore any possible late-payment fees.)
Answers
$119.66
in interest over the course of a year if he transfers his balance to a credit
card with an APR of 19.1%, compounded monthly. The correct answer between all
the choices given is the first choice or letter A.
Answer:
Barney will save about $119.66.
Step-by-step explanation:
The compound interest formula is:
A=[tex]p(1+\frac{r}{n})^{nt}[/tex]
Case 1:
when p = 780
r = 0.313
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.313}{12})^{12}[/tex]
A = [tex]1.36204\times780=1062.39[/tex]dollars
Interest accured = [tex]1062.39-780=282.39[/tex] dollars
Case 2:
when p = 780
r = 0.191
n = 12
t = 1
Putting the values in formula:
[tex]780(1+\frac{0.191}{12})^{12}[/tex]
A = [tex]1.20863\times780=942.73[/tex]dollars
Interest accured = [tex]942.73-780=162.73[/tex] dollars
Now difference in interest in both cases = [tex]282.39-162.73=119.66[/tex] dollars
Hence, Barney will save about $119.66.
Two points move along a circle of length 120m with a constant speed. If they move in different directions, then they meet every 15 seconds. When going in the same direction, one point catches up to the second every 60 seconds. Find the speeds of the points.
Answers
Let x and y be the speeds of the two points. The circle is of length 120m that is Circumference of circle is 120m.When the points are moving in opposite directions, they meet in every 15 seconds.That is the points cover 120m in 15 seconds.As they are moving in opposite directions, so the relative speed will be equal to the sum of speeds of both points.Speed= Distance ÷Time = 120÷15=8m per seconds.
x+y=8
When going in the same direction, one point catches up to the second every 60 seconds.Speed= 120÷60=2 m per seconds
x-y=2.
Solving the two equations by elimination method:
x+y=8.
x-y=2
Adding the equations:
2x=10 ,x=5m / sec.
x+y=8
5+y=8
y=3m/sec.
Thus, the speed of the two points is 5 m/s and 3 m/s.
Simplify the expression 1/√(1-cos^2 x) . Remember cos x= 1/csc x
Answers
[tex] \frac{1}{ \sqrt{1-cos^2(x)} } = \frac{1}{ \sqrt{sin^2(x)} } = \frac{1}{sin(x)} [/tex]
Next, we are going to use the trig identity: [tex]csc(x)= \frac{1}{sin(x)} [/tex] to completely simplify our expression:
[tex] \frac{1}{sin(x)} =csc(x)[/tex]
We can conclude that [tex] \frac{1}{ \sqrt{1-cos^2(x)} }=csc(x)[/tex]
Identify the number that does not belong explain why. 50.1 (repeating)- 50/2 -50.1 and the square root of 50
Answers
This is because it’s the only nonreal number. Real numbers can be expressed as fractions. This means that whole numbers, decimals, fractions, and any number that can be ultimately put as a fraction is a real number.
50/2 is already a fraction, so it’s real. 50.1 can also be made in to a fraction. 50.1 (repeating) has a pattern to its decimal values, meaning it is also able to be a fraction. However, the square root of 50 is a number with decimal values that go on forever and never have a pattern to it, and thus cannot be put into a fraction. Thus, the square root of 50 is not a real number, and so is the odd one out.
LAST QUESTION! Please help! Please
Answers
________________________________________________________
Explanation:
________________________________________________________
The formula for the volume, "V" , of a cylinder is:
→ V = [tex] \pi [/tex] * r² * h ;
→ in which "r = length of radius" ; "h = height" ; ________________________________________________________
{Note that the formula for the volume, "V" , of a cylinder is:
→ " Base area * height " .
________________________________________________________
→ Specifically, for a cylinder, the "Base area" is the area of a "circle", because the base is a circle;
→ and the formula for the "area of a circle = [tex] \pi [/tex] * r² " ;
→ in which "r = length of the radius" .
As such, the formula for the volume, "V" , of a cylinder is:
______________________________________________________
→ Volume = (Base area) * (height) ;
= ( [tex] \pi [/tex] r² ) * h ;
______________________________________________________
→ V = [tex] \pi [/tex] r² h ;
in which: "V = volume {in "cubic units" ; or, write as " units³ " } ;
"r = radius length" ;
"h = height" ;
_____________________________________________________
→ Now, we shall solve for the volume, "V", of the given cylinder in this question/problem:
_____________________________________________________
→ V = [tex] \pi [/tex] r² h ;
in which: "r = radius = ? " ;
→ To find "r" ; We are given the diameter, "d = 40 mm" ;
→ Note that: "r = d/2 = (40 mm) / 2 = 20 mm " ;
{i.e., "the radius is half of the diameter".}.
→ " r = 20 mm " ;
→ " h = height = 30 mm " {given in figure) ;
→ For [tex] \pi [/tex] ; let us use " 3.14 " — which is a commonly used approximation.
→ For this question/problem, none of the answer choices are given "in terms of [tex] \pi [/tex] " ;
→ so we shall use this "numerical value" as an "approximation" ;
_______________________________________________________
Now, let us plug in our known values into the formula;
and calculate to find the volume, "V", of our given cylinder; as follows:
_______________________________________________________
→ V = [tex] \pi [/tex] r² h ;
= (3.14) * (20 mm)² * (30 mm) ;
= (3.14) * (20)² * (mm)² * (30 mm) ;
= (3.14) * (20)² * (30) * (mm³) ;
= (3.14) * (400) * (30) * (mm³) ;
= 37, 680 mm³
__________________________________________________
The volume is: " 37, 680 mm³ " ;
→ which is: Answer choice [C]: " 37, 680 mm³ " .
___________________________________________________
Hope this answer and explanation—albeit lengthy—is of some help to you.
Best wishes!
To of the angles in a triangle measure 57 and 95 degree. What is the measure of the third angle?
Answers
57+95=152
180-152=28
56+95+28=180
Third angle =28
what is the difference between theoretical and experimental probability
Answers
Before I leave this part of the discussion, there is a computer simulation that mimics this game. It is called the Monte Carlo method. What you do is run a million draws from a computer deck of cards (1 to 52) and draw 1 card. If it is either the King of hearts or the king of diamonds you give yourself 1 point and record that a draw has taken place. If not you just record that a draw has taken place.
I just ran this simulation and out of a million draws, 38575/1000000 came back as successful. 1/26 = 0.03846 which means that the rounded version was accurate to 3 decimal places. But it was not the same as the theoretical draw.
A real world or experimental probability is like the Monte Carlo method. A survey is another real world or experimental probability. Who would have predicted the results of the last American election? Who would have thought that though Hillary got the popular vote, she was not elected?
Theoretical: what you calculate.
Experimental: what you get from a sample for example or a survey. Think elections or insurance policies.
suppose the probability that a US resident has traveled to Canada is 0.18 to Mexico is 0.09 and to both countries is 0.04 what's the probability that an American chosen at random has travel to either Canada or Mexico
Answers
0.18 + 0.09 + 0.04 = 0.31
bag of coins contains two quarters 5 dimes 3 nickels and 4 pennies if two coins are randomly chosen from the bag one after the other not replaced and if the total value of the chosen coins is $0.26 what is the probability that a third coin randomly chosen from the back will be a penny
Answers
B - third chosen coin is a penny
[tex]P(B|A)=\dfrac{P(A \cap B)}{P(A)}\\\\ |\Omega|=14\cdot13=182\\ |A|=2\cdot4\cdot2!=16\\ |A \cap B|=16\cdot3=48\\\\ P(A \cap B)=\dfrac{48}{182\cdot12}=\dfrac{2}{91}\\ P(A)=\dfrac{16}{182}=\dfrac{8}{91}\\\\ P(B|A)=\dfrac{\dfrac{2}{91}}{\dfrac{8}{91}}=\dfrac{2}{91}\cdot\dfrac{91}{8}=\dfrac{1}{4} [/tex]
Which fraction is multiple of 1/10
Answers
Final answer:
A multiple of 1/10 is any fraction obtained by multiplying 1/10 by an integer. For example, 1/10 multiplied by 2 is 2/10, which simplifies to 1/5. Dividing by powers of 10 shifts the decimal point left, making 1.9436 divided by 1,000 equal to 0.0019436.
Explanation:
In mathematics, when identifying a multiple of a fraction, you look for fractions that can be created by multiplying the original fraction by an integer. In the case of 1/10, a multiple would be any fraction where 1/10 is multiplied by a whole number.
For instance:
1/10 multiplied by 2 is 2/10, which simplifies to 1/5 - thus 1/5 is a multiple of 1/10.1/10 multiplied by 3 is 3/10 - hence, 3/10 is a multiple of 1/10.Multiplying 1.9436 by powers of 10 shifts the decimal point accordingly:
1.9436 × 10 = 19.4361.9436 × 100 = 194.361.9436 × 1,000 = 1,943.6Conversely, dividing by powers of 10 will shift the decimal point to the left, making the number smaller:
1.9436 ÷ 10 = 0.194361.9436 ÷ 100 = 0.0194361.9436 ÷ 1,000 = 0.0019436The fraction 15 can be simplified by dividing both the numerator and the denominator by the greatest common factor, in this case, 15, yielding a value of 1.
A plumber charges $100 to come to a house and $95 dollars per hour that he is there. If the total cost of the plumber’s visit to a house was $385, how many hours was the plumber working at the house?
Answers
First, you have to subtract 100 from 385 to find the total cost of hours at the house. Then, since he charges $95 every hour, you have to divide 385/95 and you get 3 as your answer. Hope this helped :) .
the rate of 4 shirts for $32.00
Answers
hope this helps
The rate is 8 or $8 for each shirt.
Hope this helps! :)
which of the following values are zeroes for the function below? select all that apply. g(x)=(x^2+4x-12)(x-3)
Answers
answer and explanation:
g(x)=(x^2+4x-12)(x-3)
(x+6)(x-2)(x-3)
x+6=0
-6 -6
x= -6
~~~~~~~~~~~~~~~~~~~
x-2=0
+2 +2
x=2
~~~~~~~~~~~~~~~~~~~
x-3=0
+3 +3
x=3
~~~~~~~~~~
answer: -6, 2, 3.
What is the size of the triangle angles?
Answers
HAPPY TO HELP
EXPLAIN AND NO ONE SENTENCE ANSWER
Answers
But ...
What do you do about the arc? It is 211o - 1? That value = the central angle. A central angle is the angle going from K to the center of the circle to M. 1/2 that amount is the angle going to anywhere on the arc of the circle. So that is 1/2 of 211 - 1 = 105.5x - 1/2
These two angles when added together = 180o
105.5x - 1/2 + 104x + 1 = 180o Collect like terms on the left
209.5x + 1/2 = 180 Subtract 1/2 from both sides
209.5x = 180 - 1/2
209.5x = 179.5 Divide by 209.5
x = 179.5 / 209.5
x = 0.8568
<KLM = 104*0.8568 + 1
<KLM = 89.1 + 1
<KLM = 90.1o <<<<< answer
how to tell if an ordered pair is a solution to a function
Answers
B) yes
C) no
For each of these, substitute the value of x in the ordered pair into x in the function.
For A, x = -5; -5<2, so the piece of the function we want is f(x) = 3. In our ordered pair, y=f(x)=3, so yes, it is a solution.
For B, x = 2; 2≤2<6, so the piece of the function we want is f(x) = -x+1. In our ordered pair, y=f(x)=-1; -2+1=-1, so yes, it is a solution.
For C, x = 8; 8≥6, so the piece of the function we want is f(x) = x. In our ordered pair, y=f(x)=-7; -7≠8, so no, it is not a solution.
A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?
(4, 3.5)
(4, 3)
(3, 4)
(3.5, 4)
Answers
The answer is...
(4,3)
Hope this helps!!! :)
-Jared
How to do probibility
Answers
In order to solve a probability question, start by defining the sample space, which is the set of all possible outcomes in the game.
How to come up with probability ?
To calculate the probability of someone landing on an even number and a primary color in a game or situation, you need to specify the range of numbers and the set of colors that someone can land on.
Determine which outcomes are favorable for your event. In this case, you want someone to land on an even number and a primary color. So, the favorable outcomes would be even numbers (2, 4, 6) and primary colors (red, blue, yellow).
Calculate the probability of landing on an even number and landing on a primary color separately.
Probability of landing on an even number:
There are 3 even numbers out of 6 possible outcomes, so the probability is 3/6 or 1/2.
Probability of landing on a primary color:
There are 3 primary colors out of 6 possible outcomes, so the probability is 3/6 or 1/2.
which is an equation of the line that passes through the point (3,-1) and is perpendicular to 2y-3x=7
Answers
A one-tablespoon serving of olive oil contains 120 calories. The label on a bottle of olive oil states that it contains 66 servings. How many calories are in the whole bottle of olive oil?
Answers
The whole bottle of olive oil contains 7920 calories.
To find the total number of calories in the entire bottle of olive oil, one must multiply the number of calories in one serving by the total number of servings in the bottle.
Given that one tablespoon serving of olive oil contains 120 calories, and the bottle contains 66 servings, the calculation is as follows:
Total calories in the bottle = Calories per serving [tex]\times[/tex] Number of servings
Total calories in the bottle = 120 calories/serving [tex]\times[/tex] 66 servings
Total calories in the bottle = 7920 calories
Therefore, the whole bottle of olive oil contains 7920 calories.
PLEASE HELP WITH #10
Answers
How many natural numbers are from 17 to 28?
Answers
Natural numbers are all the numbers greater than zero so just count the number of numbers there and you will get the answer
Short answer: 11
Why?
Natural numbers are any positive number. How many numbers are inbetween 17 and 28? That would be 11. You can subtract the two numbers to figure that out. {28 - 17 = 11}
Hope this helped you! ♥
Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the previous row for each row in the section, how many seats are in row 15? How many seats total are there in the section?
Answers
We can write the explicit formula for an arithmetic sequence to represent this, since we add 2 each time:
13+2(n-1)
Using 15 for n,
13+2(15-1) = 13+2(14) = 13+28 = 41
To find the total number of seats, we evaluate the sum
[tex]\Sigma_{n=1}^{17} 13+2(n-1)[/tex]
Using technology to evaluate this sum, it is 493.
there are 450 mangoes and oranges in a fruit stall.There are twice as many mangoes as there are oranges
Answers
2x + x = 450
3x = 450
x = 150
so now we have the amount of oranges= 150
150 * 2 = 300
so oranges = 150, mangoes = 300, and to check our work
150 + 300 = 450
3x=450
x=450/3
x=150
there are 150 oranges and 300 mangoes
PLEASE ANSWER CORRECTLY ASAP:
Solve this system of equations:
y = x2 – 3x + 12
y = –2x + 14
Substitute the values of x, –1 and 2, into either original equation to solve for the values of y.
What are the solutions of the system of equations?
One solution is (–1, __ )
The second solution (2, ___)
Answers
[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(-1)^2-3(-1)+12[/tex]
[tex]y=1+3+12[/tex]
[tex]y=16[/tex]
so one solution is (-1,16)
2nd one, subsitute 2 for x
[tex]y=(x)^2-3(x)+12[/tex]
[tex]y=(2)^2-3(2)+12[/tex]
[tex]y=4-6+12[/tex]
[tex]y=10[/tex]
the second soltuion is (2,10)
so one solution is (-1,16)
the second solution is (2,10)
Answer:
3
Step-by-step explanation:
give brainliest
A spinner is to be used during a probability experiment. The spinner is separated into all congruent sections of which 8 sections are orange, 4 sections are yellow, and 2 sections are green. What is the probability written in simplest form that the spinner will NOT stop on a green section during the first spin?
Answers
Total sections=8+4+2=14, orange and yellow sections=8+4=12
P(y or o)=12/14
P=6/7 (about 85.7%)
[tex] |\Omega|=14\\
|A|=12\\\\
P(A)=\dfrac{12}{14}=\dfrac{6}{7}\approx86\% [/tex]
When two computers are working together, they can finish updating software in 9 minutes. How long would they take individually to update the software if one computer takes 24 minutes longer than the other?
Answers
Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.
Both computers for one min do (1/x+1/(x+24)) part of work.
At the same time, both computers for one min do 1/9 part of work.
[tex] \frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} \\ \\ \frac{x+24+x}{x(x+24)} = \frac{1}{9} \\ \\9(2x+24)=x^{2} +24x \\ \\ 18x+216=x^{2} +24x \\ \\ x^{2}+6x-216=0 \\ \\ D=b^{2}-4ac=36+4*216 = 900 \\ \\ x= \frac{-b+/- \sqrt{D} }{2a} = \frac{-6+/-30}{2} \\ \\ x_{1}=-18, x_{2}=12 We can use only positive number here. So, for the first computer x=12 min, for second computer x+24=12+24= 36 min Answer 12 min and 36 min.[/tex]
It would take the computers 12 minutes and 36 minutes respectively to individually update the software
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time it takes the fastest computer. Hence:
[tex](\frac{1}{t}+\frac{1}{t+24})9=1\\ \\ t=12 \ minutes[/tex]
It would take the computers 12 minutes and 36 minutes (12 + 24) respectively to individually update the software
Find out more on equation at: https://brainly.com/question/2972832