The answer is 2.46
Hope it helps!
Answer: (B) 130 cm
Proof: If a chord and a line from the centre meet, they must be perpendicular. The line from the centre to the chord also bisects the chord. If the distance from the centre of the circle to the chord is 52 cm and the distance of half of the chord is 39 cm, then you can work out using Pythagoras' Theorem the distance of the radius.
r² = 52² + 39²
r² = 4225
r = 65
Thus, the diameter is 2r = 130 cm
Answer:
![b =6](https://tex.z-dn.net/?f=b%20%3D6)
Step-by-step explanation:
Given
![f(x) =3x + b](https://tex.z-dn.net/?f=f%28x%29%20%3D3x%20%2B%20b)
![f(2) = 12](https://tex.z-dn.net/?f=f%282%29%20%3D%2012)
Required
Find b
implies that:
![12 = 3 * 2 + b](https://tex.z-dn.net/?f=12%20%3D%203%20%2A%202%20%2B%20b)
![12 = 6 + b](https://tex.z-dn.net/?f=12%20%3D%206%20%2B%20b)
Collect like terms
![b = 12 - 6](https://tex.z-dn.net/?f=b%20%3D%2012%20-%206)
![b =6](https://tex.z-dn.net/?f=b%20%3D6)
Answer:
There are 56 stuffed animals and 28 mystery boxes in the claw arcade machine
Firstly, we assign variables.
Let the number of stuffed animals be x and the number of mystery boxes be y
The probability of selecting a stuffed animal is x/84 while the probability is selecting a mystery box is y/84
Now, since the total probability can be 1:
This means that
x/84 + y/84 = 1 •••••••(i)
Now from the question, we were told that the probability of selecting or winning a stuffed animal is twice that of winning a mystery box
Thus x/84 = 2 * y/84
X/84 = y/42
Let’s substitute this into equation 1
y/42 + y/84 = 1
(2y+ y)/84 = 1
3y/84 = 1
3y = 84
y = 84/3
y = 28
Since x + y = 84
x = 84 - y
x = 84-28 = 56
Hope this helps!!