Answer:
PR = 10
Step-by-step explanation:
PR =
The coordinates for P and R are (0,4) and (-6,-4) respectively.
So you plug in the values:
PR =
PR =
PR =
PR =
PR = 10
For "less than or equal to" you can use <=
For "greater than or equal to" you can use >=
√(15(x−1)) / √(2x^2)
Value under square root must be ≥ 0
Value in denominator not = 0
15(x−1) ≥ 0
x−1 ≥ 0
x ≥ 1
2x^2 > 0
x^2 > 0
x ≠ 0
Combining both inequalities, we get:
x ≥ 1
Answer:
0.0125
Step-by-step explanation:
The P-value can be calculated by using excel function T.DIST.RT(2.968,6).
Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.
Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.
The equation of a line is y = mx + b where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). we can look at the graph and see that the line crosses the y axis at y = 4. Therefore, the y-intercept, b, is 4.
Now we must calculate the slope. To do so, we divide the "rise" of the line,
y₂ - y₁ by the "run" of the line x₂ - x₁. We must choose two points (x₁, y₁) and (x₂, y₂) to find the slope. Two points are already given to us, (1, 2) and (4, -4):
m = (-4 - 2)/(4 - 1)
m = -6/3
m = -2
Now that we know the slope and the y-intercept, we can simply plug them back into the equation to find the equation of the line:
y = -2x + 4