Answer:
V = 392 m³
Step-by-step explanation:
Volume rectangular prism
V = (1/3)AH
H is the height of the prism
A is the area of the base triangle
A = (1/2)bh
A = (1/2)(7)(24)
A = 84
V = (1/3)(84)(14)
V = 392 m³
Let event A be the probability of getting a number greater than 3.
P(A) = 3/6
Let B be the probability of getting a prime number.
P(B) = 3/6
However 5 is common to both events.
![P(A\cap B)=\frac{1}{6}](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D%5Cfrac%7B1%7D%7B6%7D)
A union B is the event A or B.
![P(A\cup B)=P(A)+P(B)-P(A\cap B)](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29-P%28A%5Ccap%20B%29)
![P(A\cup B)=\frac{3}{6}+\frac{3}{6}-\frac{1}{6}=\frac{5}{6}](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%5Cfrac%7B3%7D%7B6%7D%2B%5Cfrac%7B3%7D%7B6%7D-%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B5%7D%7B6%7D)
<span>Therefore the probability that he gets a number greater than 3 or a prime number
is 5/6.</span>
Answer:
21 boys are there in the class.
Step-by-step explanation:
7x + 5x = 36
12x = 36
x = 36 / 12
x = 3
∴ The number of boys in the class is:
7 * 3 = 21
Hope you found this answer helpful!!
If you liked it, please mark it as the Brainliest!!
Regards..
Answer:
Rate = 108 km/hr
Distance travelled in 2 hours = 216 km
Step-by-step explanation:
A car is travelling at a rate of 30 meters per second
1 km = 1000 meters
? km = 30 meters
Cross multiplying gives;
km
1 hr = 3600 seconds
? hrs = 1 second
Cross multiplying gives;
hrs
Speed = Distance ÷ Time
Speed in km/hr =
km ÷
hrs =
km ×
= 108 km/hr
Distance travelled in 2 hours = 2 × 108 km = 216 km
The volume is scale factor³
Take the square root of the volume ratio
![\sqrt{ \frac{27}{125} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B27%7D%7B125%7D%20%7D%20%20)
which is
![\frac{ \sqrt{27} }{ \sqrt{125} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B27%7D%20%7D%7B%20%5Csqrt%7B125%7D%20%7D%20)
![\frac{3}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20)
The ratio of their radii is 3 : 5