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alekssr [168]
3 years ago
10

9 students volunteer for a committee. How many different 7-person committees can be chosen?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0
If order doesn't matter (e.g. all the positions in the committee are essentially identical) then the number of possible choices is \dbinom97=\dfrac{9!}{7!(9-7)!}=36.
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Solve the inequality.
shusha [124]

Answer:

(3/2)x - 2 < 7

(3/2)x < 9

3x < 18

x < 6

answer is b

5 0
3 years ago
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel
MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

x=4y-----> equation A

x=y+6 ----> equation B

Equate equation A and equation B

4y=y+6

solve for y

4y-y=6

3y=6

y=2

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

x=4(2)=8\ years

x=2+6=8\ years

therefore

Kevin's age is 8 years

6 0
3 years ago
If u-ai + bj and v-ci + dj are vectors, then which of the following statements is not true?
alukav5142 [94]

Answer:

Option C

Step-by-step explanation:

Given that u-ai + bj and v-ci + dj are vectors

We have dot product

u.v = (ai+bj).(ci+dj) hence inner product of u and v.  So option a is true

The dot product of u and v is a scalar is true because dot product is always a scalar

The dot product of u and v is a vector. is false because dot product is only a scalar and has no direction and hence cannot be a vector

The dot product of u and v is given by the expression ac+bd

True because we multiply corresponding i components and j components and add.

So only C is not true.

7 0
2 years ago
Can you pls help me solve this?​
soldi70 [24.7K]

Answer:

x=6. x=15

Step-by-step explanation:

13. x=6

16. x=15

7 0
3 years ago
Read 2 more answers
Real quick<br><br> what is the radius of 16 cm simplest form
KIM [24]

<u>Answer:</u>

8cm

<u>Explanation:</u>

If the 16 cm is the diameter then the radius is 8 cm

8 0
3 years ago
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