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OLga [1]
2 years ago
15

steven has 10 different shirts 6 different hats 4 different scarves. Steven thinks that if he picks just two of the three items

of clothing there will be more than 240 combinations. is the correct
Mathematics
1 answer:
Semmy [17]2 years ago
3 0

Answer: No, he is not correct

The number of combinations is 190

============================================================

Work Shown:

We have 10 shirts, 6 hats, and 4 scarves. This is 10+6+4 = 20 items total.

If we randomly pick out an item, then we have 20 to choose from. After selecting that first item, we have 20-1 = 19 items left to choose from.

So there are 20*19 = 380 different permutations. Order matters with permutations.

Since we aren't worried about order, this means that we've double counted so we have to divide by 2 to fix it.

So there are 380/2 = 190 combinations.

You can use the nCr combination formula _nC _r = \frac{n!}{r!*(n-r)!} with n = 20 and r = 2 to get the same result.

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Tristan had 95 inches of ribbon.He cut off 27.50 inches. How many inches of ribbon remain
tatiyna

Answer:

67.50 inches


Step-by-step explanation:


5 0
3 years ago
Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
algol [13]

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

3 0
3 years ago
3a² + 11a – 42<br><br>this is factoring in algebra 2 (high school) <br>​
N76 [4]

To factor,

<h2>[[[</h2>

1) First multiply coefficient of a² and constant no,

That is,

3×(-42)=-126

Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.

2) Find the factor

126=2×3×3×7

=18×7

18 and 17 are factors of 126

Also,18-7 =11.

So they are required factors for factoring,

<h2>]]]</h2>

Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.

<u>Answer:</u>

3a²+11a-42

=3a²+(18-7)a -42

=3a²+18a-7a-42

=3a(a+6) -7(a+6)

=(a+6)(3a-7)

3 0
3 years ago
Pwease help me :0 Thank u!
defon

Answer:

1/2

Step-by-step explanation:

simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2

7 0
1 year ago
Find the range of the following data set. 451, 376, 380, 470, 546, 481 <br>​
Firdavs [7]
Answer: 170

Steps:
Range- the difference between the greatest and smallest value of a data set.

546 - 376 = 170
7 0
3 years ago
Read 2 more answers
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