5(x - 3) + 6 = 5x - 9 has no solution
<em><u>Solution:</u></em>
We have to find the number of solutions for the given equation
Given equation is:
5(x - 3) + 6 = 5x - 9
Multiply the terms inside with bracket with constant outside the bracket
5x - 15 + 6 = 5x - 9
Add the constants in left hand side of equation
5x - 9 = 5x - 9
If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.
Here, 5x - 9 = 5x - 9
The coefficients are same in both sides of equation
Therefore, the equation has no solution
Answer:
8 and -4
Step-by-step explanation:
8*-4=-32
8+(-4)=4
Answer: The cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Step-by-step explanation:
Let x be the cost of one sandwich and y be the cost of one cup of coffee.
By considering the given situation, we have the following equations :-
Multiply 2 on both sides of equation (2) , we get
Subtract equation (1) from equation (3), we get
Put value of y in (1), we get
Hence, the cost of one sandwich is $4.25 and the cost of one cup of coffee is $2.25.
Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
Answer:
the third option is the correct
