Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
3 is a common multiple .. (3x4=12....3x5=15)
Answer:
$65m + 125 = 1165
Step-by-step explanation:
Answer:

Step-by-step explanation:
Ir order to find the value of n in the given linear equation:
you have to perform the properties of equalities to obtain an equivalent equation.
You have to perform these properties in each side of the equation.
Applying the subtraction property (which is the subtraction of the same number to each side of the equation):
Adding
to each side:

This way you can obtain the value of n

Solving the subtraction of the fractions and simplifying:

It says Sandeep has twice as much as Sonia. Thus, let Sandeep's amount be 2x and Sonia's amount be x.
Now, together they have 150.
Thus, the equation;
x+2x=150
Now let's solve the equation;
3x=150
x=150/3
x=50
Thus, Sonia has 50