Answer:
A. y =
x + 7
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept
<em>It gives us the slope, so we can plug that in:</em> y =
x + b
<em>Next, it gives us a point, so we can plug in the x and y into our equation and solve for b when (x, y)</em>
y =
x + b
7 =
(0) + b
7 = b
<em>Last, complete our equation:</em>
y =
x + b
y =
x + 7
Its not clearly given that whether EBF = 2x + 9 or 2x - 9.
I have written the solution for both.
If EBF = 2x + 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x + 9)
= (6x + 2x) + (26 + 9)
= 8x + 35
11x - 8x = 35 + 31
3x = 66
x = 22
Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°
If EBF = 2x - 9,
then ABF = 6x + 26 and ABE = 11x - 31.
Now, ABE = ABF + EBF
11x - 31 = (6x + 26) + (2x - 9)
= (6x + 2x) + (26 - 9)
= 8x + 17
11x - 8x = 17 + 31
3x = 48
x = 16
Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°
Answer: The correct answer is the third option, (-3,-4).
Step-by-step explanation: You plug in 2x + 2 for y, given that y = 2x + 2.
2x+2 = x - 1
x = -3
Now, you plug in -3 for x in an equation.
y = -3 - 1
y = -4.
(-3, -4)
Answer:
Yes, the test was conducted with a risk of a type I error.
Step-by-step explanation:
If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.
Yes, for a null hypothesis to be rejected, it has being proven beyond all doubt that the null hypothesis will not work. the normal distribution has being used for the probability calculation.
if the null hypothesis is rejected and the alternative hypothesis is accepted, a type I error as occur.
In general terms:
‘a hypothesis has been rejected when it should have been accepted’. When this occurs, it is called a type I error.