First we need to know how many people were asked - 120 + 630 = 750 people
Now we make fractions - 120/750 and 630/750
Divide the fractions - 120/750 = 0.16 and 630/750 = 0.84
Multiply the results by 100 so we can get the percentage - 0.16 x 100 = 16% and 0.84 x 100 = 84%

The percentage of people that like playing golf is 16%.

3 0

3 years ago

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A regular m-gon has 3 times as many sides as a regular k-gon.

Novosadov [1.4K]

9514 1404 393

Answer:

k = 10
m = 30

Step-by-step explanation:

The interior angle of the m-gon is ...

m-interior = 180 -360/m

The exterior angle of the k-gon is ...

k-exterior = 360/k

The required relationships are ...

m = 3k

m-interior = 14/3(k-exterior)

Substituting for m, we can write the latter relation as ...

(180 -360/(3k)) = 14/3(360/k)

Multiplying by 3k/180, we have ...

3k -2 = 28

k = (28 +2)/3 = 10

The values of k and m are 10 and 30, respectively.

_____

Check

The interior angle of the m-gon is 180 -360/30 = 168 degrees.

The exterior angle of the k-gon is 360/10 = 36 degrees.

The angle ratio is 168/36 = 14/3 as required.

3 0

3 years ago

A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?

kari74 [83]

Answer:

The answer is 24 in my opinion

Step-by-step explanation:

1)1 2 3 4

2)1 2 4 3

3)1 3 2 4

4)1 3 4 2

5)1 4 3 2

6)1 4 2 3

Just multiply the 4 with 6 then you get the answer. Hope this is correct.

4 0

3 years ago

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The gradient of the curve

AleksAgata [21]

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

$y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11$

but dy/dx is -1 :

$6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2$

substitute for x :

$y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3$

3 0

3 years ago