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sleet_krkn [62]
4 years ago
13

How many different ways are there to select 24 donuts if there are 7 types of donuts available (and donuts are only distinguishe

d by their type).?
Mathematics
2 answers:
rusak2 [61]4 years ago
5 0

Answer:

593,775 ways

Step-by-step explanation:

24 donuts have to be selected from 7 different varieties of donuts

n = 7

r= 24

Repetition is allowed

C(n+r-1, r) = C(7 + 24 - 1 , 24)

= C(30,24)

Recall that C(n,r) = n! /(n-r)! r!

C(30,24) = 30!/(30 - 24)! 24!

= 30!/(6!24!)

= 593,775 ways

almond37 [142]4 years ago
3 0

Answer: 346,789 ways

Step-by-step explanation:

Using the formular for permutation to calculate :

P= n!/r!(n-r)!

We need to select 24 apples from 7 types of apples

n=24 ,r=7

Permutation =24!/7!(24-7)!

Permutation =6.2×10^23/1.793×10^18

P= 346 ,789 ways

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The answer is 24.69 ounces

plz thank me, it keeps me motivated to answer more of your questions :)
8 0
4 years ago
The point (2, 3) is on the line given by which equation below?
love history [14]
Plug in the points and see if y and x are equal to each other.

(2,3)
y= x-1
3= 2-1 
3= 1 (not the solution)

y=3x
3=3*3
3=9 (not the solution)

y=x+1
3=2+1
3=3 (solution) We can check to make sure.

y=-3x
3=-3*3
3=-9 (not the solution)

y=x+1 <em>is the answer.
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I hope this helps!
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5 0
3 years ago
Read 2 more answers
15 points. What is the value of k?
Lubov Fominskaja [6]

Answer:

k = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ZYM is an exterior angle of the triangle, thus

4k + 5 + 6k + 10 = 115, that is

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

7 0
3 years ago
Read 2 more answers
A car is purchased for $24,000 . After each year, the resale value decreases by 20% . What will the resale value be after 5 year
aliya0001 [1]

Answer:0

The can will have no value after 5 years

Step-by-step explanation:

If it lost 20% value in the first year after 5 year is amount to 100% devalued making it worth nothing at the fifth year.

20/100*24000=$4,800 in the first year

After the first year the value will be

Therefore in five year the value will be

4800*5= $24000 devalued

Making the car zero worth

6 0
4 years ago
Algebra 2 Math question Grade 11
Paha777 [63]

Answer:

\displaystyle y=\frac{4}{5}x+\frac{13}{5}

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m the slope of the line and b the y-intercept.

When two points are given, it's convenient to calculate the slope first.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

The points are (3,5) and (-2,1):

\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}

The equation is now:

\displaystyle y=\frac{4}{5}x+b

To calculate b, we use any of the given points and solve for b. Use (3,5):

\displaystyle 5=\frac{4}{5}3+b

Operate:

\displaystyle 5=\frac{12}{5}+b

Solve:

\displaystyle b=5-\frac{12}{5}=\frac{13}{5}

The required equation of the line is:

\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}

3 0
4 years ago
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