Answer:
2h+92
Step-by-step explanation:
The equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (h+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as, 2h+2=92
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2h+2=92.
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and
<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting in the equation , we get;
Simplifying, we get;
Thus, the values of x are x = 1,-7
When x = 1 , the equation becomes
When x = -7, the equation becomes
Therefore, the two numbers are 1 and -7
<h3>
Answer: Graph a straight line through (0,-4) and (1,-8)</h3><h3>See diagram below</h3>
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Explanation:
Pick any number you want for x. I find x = 0 to be easiest. Plug this into the equation to get...
y = -4x-4
y = -4(0) - 4
y = 0-4
y = -4
This is the y intercept. The graph crosses the y axis at -4. So one point on this line is (0,-4) since x = 0 and y = -4 pair up together
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Repeat for another x value, say x = 1
y = -4x-4
y = -4(1)-4
y = -4-4
y = -8
We have x = 1 and y = -8 pair up now. Therefore another point on this line is (1,-8)
We could repeat for other x values, but we have enough info to graph this straight line. We only need two points minimum to graph a straight line.
So from here all you need to do is plot (0,-4) and (1,-8). Then draw a straight line through the two points. The line extends infinitely out in both directions.
You could use any other two points you wanted. For me I just find it easiest to work with 0 and anything close to it.
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Note how starting at (0,-4) we have moved 4 units down and 1 unit to the right to arrive at (1,-8). The "4 units down, 1 unit to the right" comes exactly from the slope of -4 = -4/1
slope = rise/run = -4/1
rise = -4 means we move down 4
run = 1 means we move 1 to the right
Answer:
The probability that no more than '2' customers will arrive in minute = 1.5412
Step-by-step explanation:
Explanation:-
Mean of the Poisson distribution 'λ' = 2 per minute
P(X=x) = e⁻ˣ λˣ/x!
The probability that no more than '2' customers will arrive in minute
P(x≤ 2) = P(x=0) +P(x=1)+P(x=2)
= e⁻² (2)°/0! + e⁻²(2)¹/1!+e⁻² (2)²/2!
= 1 + 0.2706 + 0.2706
= 1.5412
The probability that no more than '2' customers will arrive in minute = 1.5412