Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
Answer:
-76.07
Step-by-step explanation:
-24-(41.07+11)
-24-1(41.07+11)(the next step is distributive property which is multiplying everything in the parentheses by the thing connected to it in this case, -1)
-24-41.07 + 11
-24-41.07-11
-76.07
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Answer: Larry thought of the number 14
Step-by-step explanation:
Let the number be represented by x
Such that when added with 1 becomes x+1
Multiplied by 2 becomes 2(x+1)
divided by 3 gives 2(x+1)/3
Upon subtraction with 4, we have
2(x+1)/3 -4=6 as the equation
Solving
2(x+1)/3 -4=6
2(x+1)/3=6+4
2(x+1)/3=10
2(x+1)=3x10
2(x+1)=30
2x+2=30
2x=30-2
2x=28
x=28/2
x=14
