Answer:
Yes
Step-by-step explanation:
To check proportionality :
35 α 1000
35 = 1000k
k = constant of proportionality ;
Divide both sides by 1000 to obtain k
35 / 1000 = 1000k / 1000
0.035 = k
For the ratio Given :
Ratio of 7 parts of salt and 200 parts of water
7 : 200
7 / 200
= 0.035
Since,
k = 0.035 ; 7 / 200 = 0.035
Hence, a proportional relationship exists.
Answer:
x = 24
y = 19
Step-by-step explanation:
Answer:
The volume is 418.93 ft^3
Step-by-step explanation:
Here, we want to find the volume of a cone
Mathematically, we use the formula;
V = 1/3 * pi * r^2 * h
r = 5 ft
h = 16 ft
Substituting these values;
V = 1/3 * 3.142 * 5^2 * 16
V = 418.93 ft^3
Answer:
0.9562
Step-by-step explanation:
Binomial probability is mathematically expressed as:

Given that p=0.18, n=5 , is calculated as:

Hence, the probability of no more than 2 successes in 5 trials is 0.9562