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Tasya [4]
3 years ago
5

A club has 12 members. In how many ways can we select four members to go on a trip?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0
This is the number of combinations of 4 from 12

12C4   =        12!
                 ----------
                  4! 8!

=    12*11*10*9             11*5*9  =  495
      --------------     = 
        4*3*2*1
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marissa [1.9K]

Answer:

0.84

Step-by-step explanation:

Use a calculator.  That would be 0.84.

                               3*21

Note that 63/75 = ---------- = 21/25.  Multiplying top and bottom by 4 results

                                3/25                   in 0.84 (so this answer checks out ok)

3 0
3 years ago
If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
alexandr1967 [171]

Answer:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

y= (-x+2)^2

Step-by-step explanation:

Is important to remember that the reflection of the point (a,b) across  the y-axis is the point (-a,b).

Our original equation is y= (x+2)^2

And after the reflection respect x we got:

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7 0
3 years ago
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kow [346]

Answer:

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Step-by-step explanation:

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Eve is making a bird house. To make the walls she takes a piece of wood and cuts it into 4 pieces in the ratio 5:6:6:7. The long
allsm [11]

Answer:

The original piece of wood is 108 cm

Step-by-step explanation:

From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7

Let the original piece of wood be x

so the sum of the ratios will be;

5 + 6 + 6 + 7 = 24

the shortest length would be 5/24 * x

= 5x/24

the longest will be 7/24 * x = 7x/24

From the question;

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2x = 24(9)

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3 years ago
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Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

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