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noname [10]
2 years ago
4

How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you

put the toppings on the pizza does not matter?
Group of answer choices

24

66

132

144
Mathematics
2 answers:
harkovskaia [24]2 years ago
8 0

<em>*</em><em>100% Correct answers</em>

Question 1

A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?

1680

Question 2

At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?

60

Question 3

The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?

560

Question 4

How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?

66

Question 5

The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.  

13800

sasho [114]2 years ago
7 0

Answer:

66

Step-by-step explanation:

You have 12 options to choose from when you start; after you've chosen your first topping, you'll have 11 options for your second topping. Since you have 11 possible options for toppings for <em>each</em> of the initial 12 choices, you have a total of 12 x 11 = 132 ways of choosing two toppings. To account for the fact that order doesn't matter, we can divide that number by 2, since every combination will show up exactly one more time in reverse order (If we get pepperoni first and pineapple second, for instance, we'll end up with the same toppings as if we'd picked pineapple first and pepperoni second (I have no idea why you'd put pineapple on pizza, though))

At any rate, dividing by two gives us a total topping choice number of 132 / 2 = 66.

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Which of the following shows the extraneous solution to the logarithmic equation below???
avanturin [10]
Short Answer x = - 6
Remark
You gave the second best answer. 

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2       Expand the equation
x^2 + 2x + 1 = 25   Subtract 25 from both sides.
x^2 + 2x - 24 = 0    Factor
(x + 6)(x - 4) = 0     Find the zeros.

x + 6 = 0
x = - 6  <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4    This is a legitimate result to the original equation.
7 0
2 years ago
Read 2 more answers
Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How m
pantera1 [17]

Answer:

16

Step-by-step explanation:

x+2x=24

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2x=raisins=16

6 0
2 years ago
a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.
Lina20 [59]

Answer:

  No.

Step-by-step explanation:

We assume you're concerned with

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6 0
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The sales data for January and February of a frozen yogurt shop are approximately normal. The mean daily sales for January was $
VashaNatasha [74]

Answer:

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

Step-by-step explanation:

z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

January:

The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that \mu = 300, \sigma = 20, X = 310. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{310 - 300}{20}

Z = 0.5

February:

The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that \mu = 320, \sigma = 50, X = 340. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{340 - 320}{50}

Z = 0.4

January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.

3 0
2 years ago
Why did farmer jones keep the chickens away frome the other animals
max2010maxim [7]

Answer:

The farmer jones keep the chickens away frome the other animals because the chickens are using "fowl" language!!!!!

The answer to your math sheet is a play on words, please check the picture attached for the complete solution.

The joke is that 'fowl' is another word for 'chicken' but at the same time is similar to 'foul' which is a bad word!

8 0
2 years ago
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