The students are correct because if they are parallel they need to have the same slope they all have the same slope.
Answer:
21.79 units
Step-by-step explanation:
We have to use the distance formula, which says that for two points (x_1, y_1) and (x_2, y_2), the distance between them is: 
First up is (2, 2) and (6, 6):
≈ 5.66
Next is (6, 6) and (7, -3):
≈ 9.06
Finally is (2, 2) and (7, -3):
≈ 7.07
Add these up:
5.66 + 9.06 + 7.07 = 21.79 units
Hope this helps!
Answer:
y+4=3(x+1) - this equation is in point-slope form. The equation in slope-intercept form is y=3x-1.
Step-by-step explanation:
Since the line is parallel, the slope is the exact same. Since we have the info of the slope and a point on the line, the most obvious choice would be to put in point-slope form, which is y+4=3(x+1). Now, if the equation is needed in slope -intercept form, you can use algebraic processes to convert. First, I would distribute the 3 into the expression in the parenthesis( multiply everything in the expression by 3), which would make the equation y+4=3x+3. Then, I would subtract 4 from both sides of the equation to isolate the y variable, which would give me y=3x-1. Now, the equation is in slope-intercept form.
Answer:
the approximate probability that the total weight of the passengers exceeds 4668 pounds is 0.0089
Step-by-step explanation:
Using the central limit Theorem
z = (x - u )/Q÷ sqrt n
Where z is the z-score
x is the average weight = 4668/22 = 212.2
u is the passengers average = 194 pounds
Q is standard deviation = 36 pounds
Therefore
z= (212.2 - 194) / 36 ÷ sqrt22
= 18.2/ 36÷ 4.69
= 18.2/7.68
z=2.3698 aprx 2.37
Find the value of 2.37 z-score on the z-table to determine the approximate probability
P(z>2.37) = 0.0089 (from the z-table)
No bc the width of the circular ring is only 12.67 inches
knowing circumference = pi * diameter, we can make the formula:
39.8 = (3.14)(diameter)
divide 39.8 by 3.15
diameter = 12.67 inches
12.67 inches is not greater than or equal to 18 inches