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3 years ago

15, Evaluate 6 choose 4.

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

Answer: The required result is 15.

Step-by-step explanation: We are given to evaluate the following :

"6 choose 4".

Since we are to choose 4 from 6, so we have to use the combination of 6 different things chosen 4 at a time.

We know that

the formula for the combination of n different things chosen r at a time is given by

$^nC_r=\dfrac{n!}{r!(n-r)!}.$

For the given situation, n = 6 and r = 4.

Therefore, we get

$^6C_4=\dfrac{6!}{4!(6-4)!}=\dfrac{6!}{4!2!}=\dfrac{6\times5\times4!}{4!\times2\times1}=15.$

Thus, the required result is 15.

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Maddox wants to go back to college full-time. His current employer has agreed to reduce his hours from 40 hours to 25 hours whil

4vir4ik [10]

Answer:

Best fit for his new situation is modified budget A

Step-by-step explanation:

lets first calculate Wages which will be earned by Maddox after reduction of working hours .

from his current situation we can say that ,

for working of 40 hours , Maddox monthly income wages = $1760

so for working of 1 hour , Maddox monthly income wages = $1760÷40=$44

hence for working of 25 hour , Maddox monthly income wages will be $44 × 25 = $1100.

So New wages after reduction of working hours will be $1100. but if you see , in budget B and C , Income wages is considered as $1600 which will not be case after reduction of working hours to 25 . hence Maddox cannot go for Modified Budget B and Modified Budget C.

So he needs to decide between Modified Budget A and Modified Budget D.

Now lets concentrate upon Net income for Modified Budget A and Modified Budget D. Net income for Modified Budget D is in negative that is -$515. that means he need to earn $515 more to meet Budget D , but income wages are fixed that is $1100.

At last lets see Net income of modified budget A. he is able to save $30 , hence we can say that best fit for his new situation is modified budget A

8 0

3 years ago

Read 2 more answers

James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales

Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

5% → 108

100% → x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

7 0

3 years ago

If angle DAB measures 34 degrees, what is the measure of arc DB

ollegr [7]

Arc DB will also measure 34 degrees.

4 0

3 years ago

A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?

pochemuha

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

3 0

2 years ago

Subtract. 5x^2-5x+1-(2x^2+9x-6)

Talja [164]

<h2>Hello!</h2>

The answer is:

$3x^{2} -14x+7$

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

$x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x$

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

$5x^2-5x+1-(2x^2+9x-6)=5x^{2}-2x^{2}-5x-9x+1-(-6)\\\\(5x^{2}-2x^{2})+(-5x-9x)+(1-(-6))=3x^{2}-14x+7$

Hence, the answer is:

$3x^{2} -14x+7$

Have a nice day!

4 0

3 years ago