here the equation of path is -2x-7=y
let us find slope of this line by using y=mx+b
so slope m=-2
now new path is perpendicular to this path.
product of slopes of perpendiculars is -1
so slope of new path is 1/2
now it passes through (-2,-3) with slope 1/2
using y=mx+b to get value of b
-3=1/2(-2) +b
b=-2
plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as
y=(-1/2) x -2 is the equation of new path
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
1 turn
Step-by-step explanation:
this is what the graph would look like:
Answer: $41.64
Step-by-step explanation: $17.37/5=3.47, so 3.47 x 12 = $41.64
Answer:
540°
Step-by-step explanation:
If a triangle (3 sides) has 180 degrees then we can figure out the degrees in a pentagon.
180° + 360° = 540°
How? The "top" part could be seen as a triangle (180 degrees), and we know that a quadrilateral's angles add up to 360 degrees, so when we add them together we get out answer!