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3 years ago

A restaurant has 10 sodas that come in 12 different cup sizes. How many different drinks can you order?

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

Answer:

There are 120 different drinks that you can order.

Step-by-step explanation:

You have 10 options of soda for which you can choose.

For each options, there are 12 different cup sizes.

12*10 = 120

So there are 120 different drinks that you can order.

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Belle's Cupcakes recently sold 6 pistachio cupcakes and 8 other cupcakes. Considering this data, how many of the next 56 cupcake

VikaD [51]

Answer: 24 pistachios cupcakes.

Step-by-step explanation:

We know that:

They recently sold 6 pistachio cupcakes and 8 other cupcakes.

Then we can model this with the ratio 6:8

This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.

Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?

Using the ratio above, we must find a number N such that:

N*6 + N*8 = 56.

N*(6 + 8) = 56

N*14 = 56

N = 56/14 = 4.

This means that:

out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes

4*8 = 32 are other cupcakes.

Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.

6 0

3 years ago

How would u write 64 square centimeters?Also for my problem would I put 70 feet or 70 square feet?

Leto [7]

64cm2 but make the number two small and in the corner of the m
70 square feet

3 0

2 years ago

Read 2 more answers

A line passes through the point (-4,6) and has a slople of 3/2. Write an equation in point-slope form for this line.

Gennadij [26K]

Answer:

Step-by-step explanation:

point-slope formula is asked for [y-y1 = m(x-x1]

where the given point, P=(x1,y1) = (-4,6)

and the slope , m is given as 3/2

so plug those into the formula

y-6=3/2(x-(-4))

y-6=3/2(x+4)

voila .. you are done :)

4 0

3 years ago

What is the correct placement of the value -3

sdas [7]

It is thousandths because it t is 3 plac s the the left

5 0

3 years ago

The Washington, DC, region has one of the fastest-growing foreclosure rates in the nation, as 15,613 homes went into foreclosure

Ilia_Sergeevich [38]

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution 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.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that $p = 0.0131$

We wanto to find, with $n = 100$ :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675$

$P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226$

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that $p = 0.0087$ . So

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

$P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174$

$P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837$

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

7 0

3 years ago