Answer: x = 21; y = 29.5
because 2y° and 59° are 2 opposing angles ⇒ 2y° = 59° ⇔ y = 29.5°
we also have: (3x - 4)° = 59° ( because of 2 parallel lines)
⇔ 3x = 59 + 4 = 63
⇔ x = 63/3 = 21
Step-by-step explanation:
Answer:
X-12
X×4
X + 7
X x 2/3
Step-by-step explanation:
Answer:
y = x - 2
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 1.
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-1 = 1(1) + b
-1 = 1 + b
-2 = b
Plug in b and the slope into y = mx + b
y = x - 2 is the equation
Answer:


The confidence interval of standard deviation is:
to 
Step-by-step explanation:
Given

See attachment for the formatted data
Solving (a): The mean
This is calculated as:

So, we have:




Solving (b): The standard deviation
This is calculated as:




--- approximated
Solving (c): 95% confidence interval of standard deviation
We have:

So:



Calculate the degree of freedom (df)



Determine the critical value at row
and columns
and 
So, we have:
---- at 
--- at 
So, the confidence interval of the standard deviation is:
to 
to 
to 
to 
Answer:
56
Step-by-step explanation:
Just substitute 7 for p in the expression 9p - 7: 9(7) - 7 = 56