Answer:

Step-by-step explanation:
Using k as the constant of proportionality.
The expression that expresses the relationship : p varies jointly with the square of d and the cube of u.
Varies jointly means that p will change as 'd' and 'u' will change together with respect to their powers.
We get the expression as:

<u>Hint </u><u>:</u><u>-</u>
- To find out the equation of the line we can use the point slope form of the line which is
<u>Solution</u><u> </u><u>:</u><u>-</u>
The given point to us is ,
and the slope of the line is 4 . On using the point slope form , we have ,
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>
( for graph , see attachment ) .
Answer:
1 is 1600
Step-by-step explanation:
Because 40 people and each person shakes each other hands so its 1600
Answer:
P(X < 3) = 0.7443
Step-by-step explanation:
We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.
The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 6
r = number of success = less than 3
p = probability of success which in our question is 0.3.
LET X = a random variable
So, it means X ~ 
Now, Probability that X is less than 3 = P(X < 3)
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
= 
=
= 0.11765 + 0.30253 + 0.32414 = 0.7443
Therefore, P(X < 3) = 0.7443.