<span>2x+12y=-1
</span>y = -1x/6 -1/12
Perpendicular lines<span> are </span>lines<span> that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Therefore, the slope of the perpendicular line in this problem is the opposite reciprocal of -1/6 which is 6. The equation would be
</span><span>y=(6)x+9</span>
80,000,000 = 80,000,000 (in expanded form)
80,000,000 = eighty million (in word form)
80,000,000 = 8 x 10^7 (in standard form)
Answer:
12.5 hours
Step-by-step explanation:
budget: 200
fix cost: 50
hourly rate: 12
hours: ?
----
First we deduct the fix 50 dollars cost from the total budget.
Then we divide the remaining amount with the hourly rate
( 200 - 50 ) / 12 = ?
? = 12.5 hours
The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
<h3>How to determine the critical values corresponding to a 0.01 significance level?</h3>
The scatter plot of the election is added as an attachment
From the scatter plot, we have the following highlights
- Number of paired observations, n = 8
- Significance level = 0.01
Start by calculating the degrees of freedom (df) using
df =n - 2
Substitute the known values in the above equation
df = 8 - 2
Evaluate the difference
df = 6
Using the critical value table;
At a degree of freedom of 6 and significance level of 0.01, the critical value is
z = 0.834
From the list of given options, 0.834 is between -0.881 and 0.881
Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881
Read more about null hypothesis at
brainly.com/question/14016208
#SPJ1
Answer:
2.749
Step-by-step explanation:
Use the polar distance formula:


2.749