Answer:
Step-by-step explanation:
First we will find the probability of selecting five cards out of pack of cards
Probability of selecting five cards is equal to

On expanding we get


straight high card
means five cards with values lesser than
but adjacent to it are

there are four card for each number
Hence, probability of choosing five cards is equal to

Probability of getting a straight with high card 9 is equal to

Answer:

Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula


Answer combine 1/2 and x.
X/2+2/3=1/6
Subtract 2/3 from both sides of the equation
X/2=1/6-2/3
Simplify the right side of the equation
-2/3 as a fraction with a common denominator, multiply by 2/2
X/2=1/6-2/3 x 2/2
Multiply 3 by 2
X/2 = 1/6 - 2/6 x 2
Combine the numerators over the common denominator
X/2 = 1-2 x2/ 6
Simplify the numerator
Multiply by -2 by 2
X/2 =1-4/6
Subtract 4 from 1
X/2= -3/6
Cancel the common factor of -3 and 6
Factor 3 out of -3
X/2 = 3(-1)/6
Cancel the common factor of 6
X/2 = 3 .-1/3.2
Rewrite the expression
X/2 = -1/2
Move the negative in front of the fraction
X/2= -1/2
Since both sides have the same Denominator the numerators must be equal.
X=-1
Answer:
Malcolm’s debt-to-income ratio is 0.8125
Step-by-step explanation:
we know that
To find out Malcolm’s debt-to-income ratio, divide monthly expenses by the monthly salary
Let
x ------> Malcolm’s monthly expenses
y -----> Malcolm’s monthly salary
In this problem we have

The ratio is equal to
