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3 years ago

Two bowls of pasta at a resaurant serve 3 people how many bowls of pasta should be ordered for 12 people

2 answers:

7 0

2 bowls per 3 people can be shown as:
$\frac{2\ bowls}{3\ people}\\
\frac{2\ bowls}{3\ people}\\
Multiply\ by\ \frac{4}{4}\\
\frac{4}{4} * \frac{2}{3}\\
\frac{8}{12}=\frac{8\ bowls}{12\ people}$
So the number of bowls you'll need for 12 people is 8.

MrRa [10]3 years ago

3 0

4 bowls of pasta would be served for twelve people.

4×3=12

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If you drive 300 miles and do 70 per hour how much minutes does it take

dangina [55]

Answer: well I'm sorry I can't help that much but 300÷70(per hour)=4.28571428571 (Yes I did the math in my head) but it would be an estimate of 4 or 5 minutes. If I helped that's the least I can do. Your welcome! Anytime!!

Step-by-step explanation:

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3 years ago

In 2004, a pine tree was 5 3/4 ft tall. If the tree grew at an average rate of 5/6 ft per year for the next 7 years, how tall wo

Nady [450]

Answer:

11 7/12 ft tall

Step-by-step explanation:

5 3/4 + (5/6*7)

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3 years ago

It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell

Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) $3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline

e) $6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with $n = 100, p = 0.75$

g) $4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that $p = 0.75$

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so $n = 100$

$E(X) = np = 100(0.75) = 75$

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33$

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}$

$3.2 \times 10^{-13}$ probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}$

$6.2 \times 10^{-61}$ probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with $n = 100, p = 0.75$

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}$

$4.5 \times 10^{-8}$ probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

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2 years ago

How to find the dimension of a triangle

FinnZ [79.3K]

Answer:add the sides

Step-by-step explanation:

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3 years ago

Suppose you want to fly for a party. Three rolls of streamers and 15 party hats cost $30. Larry, you've got two rolls of streame

aleksklad [387]

Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

3x+15y=30

Two rolls of streamers and four party hats for $11.

2x+4y=11

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

5 0

3 years ago

Read 2 more answers