Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = 
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:
= 
= 
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
ANSWER: 46.8
39% of 120
The word "of" means multiplied. So you will have to multiply 39% x 120
To do that, first step is to change the percent (39%) into a decimal
39% = 0.39 (You move the decimal twice to the left, not right)
There's an invisible decimal behind 9 so ALWAYS move it twice.
= 39(.)⇒ 0.39
Then your final step is to multiply
120 x 0.39
1 2 0
x 0 . 3 9 ← notice this decimal
_______ ∨
1 0 8 0 ∨
+ 3 6 0 0 ∨
_______ ∨
4 6 8 0 There's an invisible decimal before the 0. Move that decimal two times to the left. 4680(.)⇒ 46.8
Answer:
The Trout will have to jump 49 cm in order to catch the insect
Step-by-step explanation:
Here, we want to calculate the distance the Trout has to jump in order to catch the Insect
To calculate this, we need to know the difference in the distances
From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake
The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;
17 + 32 = 49 cm
