Answer:
-3/7
Step-by-step explanation:
If two lines are parallel, it is determined that both of their slopes are the same. In this case, they are and one slope is given so, the other is the same.
Answer:
undefined
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -4-4)/( -3 - -3)
= ( -4-4)/( -3+3)
= -8/0
When we divide by zero, the answer is undefined so the slope is undefined
Answer:
<XYZ = 34
Step-by-step explanation:
Remark
Bisected angles means that the original angle (<XYZ in this case) has been cut exactly in half. The two parts that were created from <XYZ are equal so you need only solve for x, solve one of the halves and then double it.
Equation
3x - 7 = 2x + 1
Solution
3x - 7 = 2x + 1 Add 7 to both sides
3x - 7+7 = 2x +1+7 Combine
3x = 2x + 8 Subtract 2x
3x-2x = 2x-2x + 8 Collect like terms on both sides
x = 8
Solution 2
Find one of the bisected parts. You can choose either of the two parts so use 2x + 1
2x + 1
2*8+1
16 + 1
17
WYZ = 17 degrees
Solution 3
Double <WYZ to get <XYZ
<XYZ = 2 * 17
<XYZ = 34 degrees
Answer:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
In a sample of 42 water specimens taken from a construction site, 26 contained detectable levels of lead.
This means that 
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is (0.472,0.766).
