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3 years ago

A store sells ice cream with assorted toppings. they charge $ 3.00 for ice cream plus 0.50 per ounce of toppings.

Mathematics

1 answer:

aev [14]3 years ago

8 0

Answer:7 ounces

Step-by-step explanation:

If they charge 0.50 cents per ounce then u would take the 50 cents and add that up until it gets to 3.50 and that will give u 7 so the answer is 7 ounces.

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2x + 5 =12<br> What is x

lisabon 2012 [21]

Answer:

7/2

Step-by-step explanation:

2x=12-5....collectible like terms

2x=7

x=7/2...dividing both side by 2

3 0

3 years ago

Read 2 more answers

Anna opened a bank account with a deposit of $256 dollars. After one week, she has $280 in her account. After two weeks, she had

Goryan [66]

252 dollars. (First you find how much is being added each week, it’s 24 dollars, then you multiply it by 18, and get 252.)

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4 years ago

Consider the angles in the star, shown below. A pair of vertical angles are ___________.

Gwar [14]

A pair of vertical angles are B and D, because they are vertical, or across from, each other.

Hope this helps! :)

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4 years ago

Write the numer 3 1/2 in a/b form

hichkok12 [17]

Answer: 7/2

Step-by-step explanation:

3 1/2 in a/b form = 7/2

Hope it helped u,

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4 0

3 years ago

g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th

xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

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.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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

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

Sampling with replacement:

I consider a success choosing a black ball, so $p = \frac{50}{150+50} = \frac{50}{200} = 0.25$

We want 2 black balls and 2 white, 2 + 2 = 4, so $n = 4$ , and we want P(X = 2).

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

$P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109$

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so $N = 200$

Sample of 4, so $n = 4$

50 are black, so $k = 50$

We want P(X = 2).

$P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116$

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0

3 years ago