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worty [1.4K]
2 years ago
13

Please can someone help quick and now 115 students choose to attend one of three after school activities: football, tennis or ru

nning.
There are 54 boys.
52 students choose football, of which 25 are girls.
43 students choose tennis.
10 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

Answer:

only 20 students would

Step-by-step explanation:

the probability would be very since it is 20 out of 115. i hope this helped

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Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei
babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180  - - - - - (1)   (Abel and Cedric will share a total of $180)

A = \frac{C}{2}\ - - - - - - - (2) (Abel will receive half as much as Cedric. )

from equation 2:

A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0
3 years ago
A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

\omega=\frac{v}{r}    ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}

next, you replace the values of v and r in the equation (1):

\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

8 0
2 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 30 miles to km.
sergeinik [125]

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

6 0
3 years ago
Choose the equation of the line that contains the points (1,-1) and (2,2)
natka813 [3]
(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3

y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b

so ur equation is : y = 3x - 4
7 0
3 years ago
(3, 4) was dilated to become point X' (12, 16). What was the<br> scale factor?
tensa zangetsu [6.8K]

Step one: correspond x values and y values together

         it would be: 3, 12   and    4, 16

Step two: divide

12/3 = 4         and     16/4 = 4

both numbers = 4

scale factor is 4

6 0
2 years ago
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