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2 years ago

PLEASE ANSWER THIS AS FAST AS POSSIBLE!

Mathematics

1 answer:

Sonja [21]2 years ago

3 0

Between Steps 1 and 2, the student added 6x to the left hand side, but subtracted 6x from the right hand side.

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How many different ways are there to choose a dozen donuts from the 4 varities at a donut shop so that you get atleast one donut

Leno4ka [110]

There are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop. (at least one donut of every variety must be selected)

<h3>How to calculate the number of ways to select items?</h3>

There are 'r' items from 'n' different varieties (repetition allowed). Then, the number of ways to select items is given by

The number of ways = $_{n+r-1}C_r$

Where the combination $_{n}C_r$ is calculated as

$_{n}C_r=\frac{n!}{r!(n-r)!}$

<h3 /><h3>Calculation:</h3>

It is given that there are 4 varieties of donuts in a shop. I.e., n = 4

Number of donuts to be selected r = 12 (one dozen)

And also given that at least one donut of every variety has to be selected.

Since there are 4 varieties, at least one from each of these means the count is 4.

So, the remaining number of donuts to be selected is 12 - 4 = 8.

So, r becomes 8 i.e., r = 8

On substituting,

the number of ways of selecting the remaining 8 donuts = $_{4+8-1}C_4$

⇒ $_{11}C_4$

⇒ $\frac{11!}{4!(11-4)!}$

⇒ $\frac{11!}{(4!)(7!)}$

⇒ 330

Therefore, there are 330 different ways for choosing a dozen donuts from the 4 varieties at a donut shop.

Learn more about combinations here:

brainly.com/question/11732255

#SPJ4

5 0

2 years ago

Maria and edwin have 23.00 each to spend at a book fair where all students receive 25% discount. They both want to purchase a co

Bezzdna [24]

Both Maria and Edwin are correct

Maria's method
25% of 26.50 = 6.625
26.50 - 6.625 = 19.875
10% of 19.875 = 1.9875
19.875 + 1.9875 = 21.8625 as final price

Edwin's method
75% of 26.50 = 19.875
110% of 19.875 = 21.8625 as final price

The book is 25% off the original price, so the remaining value is 75% of the original value
By adding 10% tax on to the original price, the final price will be 100%+10%=110% of the original price

Both Edwin and Maria has enough money to purchase the book

5 0

3 years ago

A study reports the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a

Musya8 [376]

Answer:

This means that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

For 95% confidence interval, it means that we are 95% confident that the mean of the population is between the given upper and lower bounds(margin of error) of the confidence interval.

For the case above, the interpretation of the 95% confidence interval is that we are 95% confident that the mean change in HDL (high-density lipoprotein, or "good" cholesterol) of adults eating raw garlic six days a week for six months is between plus or minus 5 milligrams per deciliter of blood (mg/dl) to the sample mean.

3 0

3 years ago

HELPP is c Right?? picture shown

Crank

Hello :
the midepoint is( (-1+7)/2 ; (3+2)/2)
(3, 5/2) ... answer C

8 0

3 years ago

Bulan rows on a crew team. Her team

nexus9112 [7]

Answer:250

Step-by-step explanation:

7 0

4 years ago