Answer:
1/3.
Step-by-step explanation:
The 2 events are independent so we multiply the 2 probabilities.
Prob(rolling an odd number) = 3/6 = 1/2.
Prob(rolling a number greater than 2) = 4/6 = 2/3.
The required probability = 1/2 * 2/3
= 2/6
= 1/3.
Answer:
3(x + 2)(x - 6) = 0
Step-by-step explanation:
We see that if x + 2 = o then x= -2
and if x - 6 = 0, x = 6.
Attached below is a step by step process of arriving at the answer.
Answer:
8.68 seconds
Step-by-step explanation:
Given:
Height of the deck above the street, s = 370 m
Since the condition is of free falling
thus,
initial speed, u = 0
Acceleration of the penny = acceleration due to gravity, g = 9.81 m/s²
Now,
from Newton's equation of motion, we have

here,
s is the distance
a is the acceleration
t is the time
on substituting the values, we get

or
t² = 75.433
or
t = 8.68 seconds
Hi there!
To split 90 kilos in the ratio of 2 : 3 : 7 we must first realise that we have a total of 2 + 3 + 7 = 12 parts, in which we must split the total 90 kilos.
12 parts equal 90 kilo, and therefore
1 part equals 90 / 12 = 7.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
2 parts equal 7.5 × 2 = 15 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
3 parts equal 7.5 × 3 = 22.5 kilos.
1 part equals 90 / 12 = 7.5 kilos, and therefore
7 parts equal 7.5 × 7 = 52.5 kilos.
Hence, 90 kilos in the ratio of 2 : 3 : 7
gives 15 kg, 22.5 kg and 52.5 kg.
~ Hope this helps you!