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MAXImum [283]
3 years ago
5

What is the coefficient of the term 13a in the expression 13a+6b

Mathematics
1 answer:
rodikova [14]3 years ago
7 0
The coefficient is 13.
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How many different 10 person committees can be selected from a pool of 23 people?
Salsk061 [2.6K]

We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.

We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.

Formula for combination:

C(n,r)=\dfrac{n!}{(n-r)!r!}

Where n represents the number of objects/people in the set and r represents the number of objects/people being chosen from the set

There are 23 people in the set and 10 people being chosen from the set

C(23,10)=\dfrac{23!}{(23-10)!10!}

=\dfrac{23!}{13!\times10!}

Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get

=1,144,066

Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!

~ Padoru

4 0
3 years ago
Read 2 more answers
Can someone please help
Free_Kalibri [48]

Answer:

I think it is 26 and 2

Step-by-step explanation:

39÷6=6.5

4×6.5=26

13÷6.5=2

6 0
3 years ago
Read 2 more answers
A class of sixth grade students is given 5 homework problems each day . The class has completed 35 homework problems. If x is th
Cloud [144]

Answer:

X=7

Step-by-step explanation:

7 0
3 years ago
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A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

  • a_0 = x_0
  • a_1 = x_0 + r
  • a_2 = x_1 + r = (x_0+r) + r = x_0 + 2r
  • a_3 = x_2 + r = (x_0+2r) + r = x_0 + 3r
  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

As we had already calculated.

7 0
3 years ago
Father is 20 years older than to win. if the aim of their age is 40 years . find the answer​
Elena L [17]

Answer:

we make 20&40 to be add.

Step-by-step explanation:

if we add 20&40

mean 20+40=60

so the answer is 60.

7 0
3 years ago
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