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melisa1 [442]
3 years ago
10

A group of fourteen friends got together for pizza. Everyone ordered their own small pan, thinking they were personal pan pizzas

, but when the pizzas arrived, the friends realized there was enough food for six extra people! How many pizzas should they have ordered if they wanted to just feed the fourteen of them?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer: 10 Pizzas

Step-by-step explanation:

Given

A group of 14 friends ordered small pan for each person to realize that they are sufficient for 6 more people that is

1 Pizza can feed

\Rightarrow \dfrac{14+6}{14}=\dfrac{20}{14}\\\\\Rightarrow \dfrac{10}{7}\ \text{Persons}

To feed 14 persons, pizzas required

\Rightarrow \dfrac{14}{\frac{10}{7}}=\dfrac{7\times 7}{5}\\\\\Rightarrow \dfrac{49}{5}=9.8\approx 10\ \text{Pizzas}

So, 10 Pizzas are sufficient to feed 14 Persons

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How many solutions do consistent dependent lines have
user100 [1]
A consistent system has at least 1 solution, it could have more.

a consistent system that has exactly 1 solution, is an independent system.

a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.

5 0
3 years ago
out of of are 40 students, 15 are on the student council. what percent of the students are NOT on the student council?
saw5 [17]

40-15=25 students not on student council

25/40 = .625 decimal

multiply by 100 to get percent

62.5% of students are not on student council

Estimating:

15 rounds to 20 and 40 rounds to 50

40% are in student council and that leaves roughly 60% not in student council.

6 0
3 years ago
population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25
mixer [17]

Answer:

<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Population mean = 72

Standard deviation  =  10

Sample₁ = 4

Sample₂ = 25

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error for Sample₁ = 10/√4

<u>Standard error for Sample₁ = 10/2 = 5</u>

Now, let's find the standard error for Sample₂

Standard error for Sample₂ = 10/√25

<u>Standard error for Sample₂ = 10/5 = 2</u>

4 0
3 years ago
35% of a number is 17. Work out the number.
Ksivusya [100]
Well first you would set up your ratio, 17/x = 35/100. You are trying to find x. To do so you cross multiply and divide. So first you have 17× 100 which equals 1700. The you divide that number by 35 which is around 48 like you said. I usually just round to the hundredths place so just cut it at 48.57 but to be safe say approximately 48.57
7 0
3 years ago
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defe
denis-greek [22]

By definition of conditional probability,

P(A_2\mid A_1)=\dfrac{P(A_1\cap A_2)}{P(A_1)}

The inclusion-exclusion principle tells us

P(A_1\cap A_2)=P(A_1)+P(A_2)-P(A_1\cup A_2)=0.12+0.08-0.14=0.06

Then

P(A_2\mid A_1)=\dfrac{0.06}{0.12}=0.5000

8 0
4 years ago
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