There are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
Combinations:
Combinations defines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage.
Here we need to find how many different pizzas can you make with anywhere from 0 to 4 toppings.
Here we need to assume that each pizza can have at most 1 serving of each topping.
Here we have four level of toppings like no serving, single serving, double serving and triple serving.
Suppose you had one topping, let's say mushrooms. How many different possible pizzas would there be?
If you understand the setup right, there would be 4: no topping, single mushrooms, double mushrooms, or triple mushrooms.
Similarly, imagine that there are two toppings, mushrooms and sausage.
Then, there are 4 x 4 = 16 different combinations with two items.
We could continue this for a long time.
If you have only sausage, mushroom, pepperoni and onion, then for a total of
=> 4 x 4 x 4 x 4 = 256 combinations.
Therefore, there are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
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The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10
Answer:
Step-by-step explanation:
[tex]y=k/x^{2}[/tex]
when y=4, x=5. Therefore:
[tex]4=k/5^2[/tex]
[tex]k=100\\[/tex]
If [tex]k=100, x=10 \\[/tex]
then [tex]y=100/10^2[/tex]
y=1
Answer:
The value of x when y = 9 is x = 2 or x = -2
Step-by-step explanation:
Given that value of y varies inversely as the square of x, and y=4, when x=3.
Therefore the initial statement is:
[tex]y x \frac{1}{x^{2} }[/tex]
i’ll mark brainliest
Answer:
<E
Step-by-step explanation:
The points need to be in order. P is the second to the last on the list and so is E.
Determine whether the data show a linear relationship. If so, write an equation of a line of fit.
The data do not show a linear relationship.
The data do not show a linear relationship.
The data show a linear relationship; The equation is y=4.25x+1.75.
The data show a linear relationship; The equation is y is equal to 4 point 2 5 x plus 1 point 7 5.
The data show a linear relationship; The equation is y=1.75x+4.25.
The data show a linear relationship; The equation is y is equal to 1 point 7 5 x plus 4 point 2 5.
The data show a linear relationship; The equation is y=6x.
The data show a linear relationship; The equation is y is equal to 6 x.
Question 2
If there is a linear relationship, use the selected equation to estimate y when x=15 and interpret its meaning in the context of the situation.
y=
, which means that after
minutes, you have burned
calories.
The slope of the given function is not constant therefore it will not be a linear function so option (A) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the data table,
If we take its point as coordinate then (1,6),(6,27),(11,50)(13,56) and (16,70).
Slope associated with two points (1,6), (6,27)
(27 - 6)/(6 - 1) = 4.2
Now Slope is associated with two points(6,27),(11,50)
(50 - 27)/(11 - 6) = 4.6
Since the slope is not the same therefore given function is not the linear function because the linear function has a constant slope.
Hence "The slope of the given function is not constant therefore it will not be a linear function".
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What is the inverse funtion of F F(x)= 3-x/7
A. F-1(x)=3-7x
B. F-1(x)= 7+x/3
C. F-1(x)=3- x/7
D. F-1(x)= 7x - 3
Answer:
Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7
Step-by-step explanation:
-(10 + (-6))
-((-55) + 1
-2
Answer:
52
Step-by-step explanation:
-(10 + (-6)) - ((-55) + 1 - 2)
(-10 + 6) + (55 - 1 + 2)
(-4) + (56) = 52
I hope this helps!
a bookshelf contains 5 different mathematics textbooks, 4 different engineering textbooks, and 2 different history textbooks. how many different ways are there to arrange the books on a shelf? 39916800 how many different ways are there to arrange them if each book is sorted by category (so all of the books of a type are in a row)? 34560 how many different ways are there to arrange them if only the history books must be next to each other? 725760 how many different ways are there to arrange the books if none of the history books may be adjacent to each other?
Answer:
Step-by-step explanation:
The correct answer is “39916800”. Explanation: No. of mathematics books = 3 No. of Engineering books = 5 No. of history books = 3 Total number of books = 3 + 5 + 3 = 11 Hence, there are 11! ways in which all of these books can be arranged.
I think I may be wrong if someone wants to check this you can
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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recall that the distance between a point and the xz-plane is the absolute value of its ? -coordinate.
Remember that a point's y-absolute coordinate's value determines how far away it is from the x-z plane.
With an example, define a plane?
Other names for it include a two-dimensional surface. A plane has an endless width, an infinite length, zero thickness, and also no curvature. The flat surfaces of a cube or cuboid, as well as the flat surfaces of paper, are all true examples of geometric planes, despite the fact that it is impossible to envision a plane in real life.A plane geometry is a closed, two-dimensional, or flat, figure. The properties of diverse plane shapes varies, such as the number of sides or corners (or vertices). A corner, also known as the vertex, is where two sides meet. A side is a straight line that forms a portion of the geometry.
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Kathy has to write a 40 page report for her research class. She plans to write 8 pages in 4/7 week. She has 3 weeks to finish her report. Will she finish her report on time?
Answer:
Yes
Step-by-step explanation:
If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.
4 x 8 = 32
32 + 8 = 40
That gives her time to edit and revise :)
Hope this makes sense
the following data was collected to explore how the average number of hours a student studies per night and the student's gpa affect their act score. the dependent variable is the act score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's gpa. effects on act scores study hours gpa act score 6 2 30 4 4 25 3 4 25 2 2 19 1 4 27 step 1 of 2: find the p-value for the regression equation that fits the given data. round your answer to four decimal places.
The p-value is 0.1505 and y is 0.550x1 + 3.600x2 + 7.300.
What is a p-value?A p-value is a statistical measure used to test a hypothesis against actual data. A p-value estimates the likelihood of obtaining the observed results if the null hypothesis is true. The greater the statistical significance of the observed difference, the lower the p-value.So,
Given:
Study Hours GPA ACT Score
5 4 275 2 185 3 181 3 202 4 21Using technology, the P-value from the Fratio:
30.228571 / 8.190476 = 3.69 F = MSregression / MSresidualThe regression equation's P-value is:
Using the Fratio calculator's Value:
F(1, 3), 3.69 = 0.1505Using the P-value method:
At α = 0.01P-value >As a result, we cannot reject H0 and conclude that; there is insufficient evidence to demonstrate that the relationship is statistically significant.
The regression formula:
y = A1x1 + A2x2 +... AnXny = 0.550x1 + 3.600x2 + 7.300The predictor variables are x1 and x2.
y = variable predictedTherefore, the p-value is 0.1505 and y is 0.550x1 + 3.600x2 + 7.300.
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The complete question is given below:
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA
Effects on ACT Scores
Study Hours GPA ACT Score
5 4 27
5 2 18
5 3 18
1 3 20
2 4 21
Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
Can anybody help!!!??? Pls
Answer:
thanks for the points x
Step-by-step explanation:
thanks
7. The John G. Riley Center and Museum in
Tallahassee is open for tours year-round.
Admission is $5.00. If 283 tour tickets are sold
each month, how many tickets would be sold
in 1 year?
3396 Tickets would be sold in one year. If 283 tickets are sold each month you need to do 283 (tickets) x 12 (months) and that will get you 3396 Tickets per every 12 months.
What is the shape of the distribution for the following set of data? x f 5 5 4 3 3 1 2 3 1 5
The shape of the distribution for the following set of data is: symmetrical.
What are distributions?When we study data, one of the major ways to understand it is to think about its general form, such as whether it is symmetrical, has more numbers on one side than the other, or fits a common probability distribution like the normal, binomial, or exponential.
Now,
By looking at how the data are arranged in the table, we can tell that the distribution's form is symmetrical. With 1 item at X=3, it appears that this occurs frequently. The average was calculated using the range of data from X=1 to X=5. In addition, the data contain 5 items at X=5 and X=1, respectively. Both of these occur equally often and at equal intervals from the average. We can also say that there are three items in the data at X=4, three things at X=2, and so on, all of which are equally far from the average. As a result, every piece of data is either averaged out or counterbalanced on the other side of the average. A symmetrical distribution is described here. Therefore, it is neither favorably nor negatively biased. Even though it is symmetrical, the distribution is not normal since a normal distribution contains more data at the average than at the tails, as opposed to fewer.Hence, The shape of the distribution for the following set of data is: symmetrical.
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If m< ABF=7b-24 and m< ABE = 2b, find m< EBF .
Answer:
∠ EBF = 16°
Step-by-step explanation:
note that EB is the angle bisector of ∠ ABF , then
∠ ABE = ∠ EBF = 2x and
∠ ABF = ∠ ABE + ∠ EBF , that is
7b - 24 = 2b + 2b
7b - 24 = 4b ( subtract 4b from both sides )
3b - 24 = 0 ( add 24 to both sides )
3b = 24 ( divide both sides by 3 )
b = 8
Then
∠ EBF = 2x = 2(8) = 16°
Find the area of the rhombus
9 in
12 in
A = [?] in?
Answer:
A=54in squared.
Step-by-step explanation:
To answer this you need to know two numbers which in this case is 9 and 12. 12 will be called the Base for now and 9 the height. and they you multiply them together to get 108 but it is like a triangle next you need to half the number so half of 108 is 54.
there are also many different calculators that all you need to do is input the numbers and it will tell you I hope this is helpful to you and that you will get the right answer.
How do you write 0.63 as a percentage
Answer:
63%
Step-by-step explanation:
To write a decimal as a percentage, you simply multiply it by 100. 0.63 * 100 is 63, so your final answer would be 63%.
FINAL ANSWER: 63%
A sphere has a diameter of 6 cm.
What is the volume when pi is set to 3?
First, we'll have to find the radius.
Radius is half of the diameter.[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]
[tex]r= \frac {6}{2}[/tex]
[tex]r= 3 \ cm[/tex]
Now, we can workout the volume.
Instead of π, we are asked to use 3.
[tex]\large\boxed{\bold{\red \pi \red = \ \red 3}}[/tex]
[tex]\large\boxed{\bold{V= \ \frac{4}{3} \pi {r}^{3}}}[/tex]
Now, substitute the values according to the formula.
[tex]V= \ \frac{4}{3} × 3 × {3}^{3}[/tex]
[tex]\large\boxed{\bold{V= \ 108 \ {cm}^{3}}}[/tex]
The answer is a whole number so you won't have to round off.
Therefore, the volume of the given sphere is 108 cubic centimeters.
Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
just copy and paste the one on the bottom 5,004,300
Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
7.6. Good luck
A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6).
Which describes the pattern of the data in the graph?
a. The water level increases by 1 inch each hour.
b. The water level increases by 2 inches each hour.
c. The water level increases by a factor of one-half each hour.
d. The water level increases by a factor of 2 each hour.
The water level increases by 2 inches each hour.
How to determine which describes the pattern of the data in the graph?The points on the graph are given as
(1, 2), (2, 4), and (3, 6)
Next, we calculate the slope of the line, as follows:
Slope = [y2 - y1]/[x2 - x1]
So, we have
Slope = [4 - 2]/[2 - 1]
Evaluate the quotient
Slope = 2
The above means that, the water level increases by 2 inches each hour.
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1/4 x -1/2 =
will give brainest
Hello,
[tex] \frac{1}{4} \times- \frac{1}{2} = \frac{1 \times (-1)}{4 \times 2} = - \frac{1}{8} [/tex]
i just need help asap please
Answer:
wsg
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help on what
Which graph describes Taco Truck 1?
Which graph describes Taco Truck 3?
Which graph describes Taco Truck 5?
The drama club would like to build a theater in the round, so the audience can be seated on all sides of the stage, for its next production.
a. The stage is to be a regular octagon with a total perimeter of 60 feet. To what length should each board be cut to form the sides of the stage?
so if you take 60 by x and The sides of an octagon which is 8 you should have your answer
The football team is selling gift cards in increments of
$25 and $50. If they sold $6,000 worth of gift cards
which equation could be used to determine how many
$50 gift cards, g, were sold if 180 gift cards were sold in
the $25 amount?
Answer: 4,500+50g=6,000
Step-by-step explanation:
write the index notation of 6*6*6
Step-by-step explanation:
6×6×6 can be written as 6^3...
Answer:
6^3
Step-by-step explanation:
6 x 6 x 6 is equal to 6^3
. An architect is designing a new windmill with four sails. In her
sketch, the sails' center of rotation is the origin, (0,0), and the tip of one of the sails,
point
S, has coordinates (2,4). She wants to make another sketch that shows the windmill
after the sails have rotated 270° clockwise about their center of rotation. What would
be the coordinates of S?
The coordinates of S are (-4,2) .
The sails' center of rotation = Origin (0,0)
Coordinates of S on the top of one of the sails, = (2,4)
Rotation :The action or process of rotating on or as if on an axis or center.
Centre of Rotation :The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.
It is given that sails have rotated 270° clockwise.
So, When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
So, the point turn (2, 4) into (-4, 2).
Thus, the coordinates of S are (-4,2).
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What is the domain?
-3,5
0,4
3,5
Answer:
-3, 0, 3
Step-by-step explanation:
The domain is the set of all x values
(4y+1)x0=0 property
The property represented by the expression is the property of zero.
We are given an expression:
(4 y + 1) × 0 = 0
We need to tell which property is this.
The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.
For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.
It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.
Therefore, the property represented by the expression is the property of zero.
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Simplify the ratio 12 to 30.