He should use a sample size of 655.
We can use the formula
We find the z-value by first subtracting the confidence level from 1:
1 - 0.8 = 0.2
Divide this by 2:
0.2/2 = 0.1
Subtract this from 1:
1 - 0.1 = 0.9
Using a z-table (http://www.z-table.com) we find the z-score associated with this is 1.28.
Now we plug our information into our formula:
You have to divide 355 km by 7 hours and you will get the hour rate then multiple the hour rate by I.5 which it the extra hours you will travel for. After you get the answer of the amount of km in 1.5 hours add 355 to it. Thus, arriving to the solution of traveling 431.0714285714286km in 8.5 hours. You can round it to 431.1 km.
Hey there, 100/5=20, 20/4=5. 4*5=20, 20*5=100. Now, 4*5*5=100. Therefore, the number that goes in the box to make the number sentence true is 5.
For the given geometric progression, the nth term of the given GP is 
.
Option (C) is correct.
What is the Geometric Progression?
Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.
The given sequence is 2, 6, 18, 54
here the first term(a) = 2 and the common ratio(r) = 6/2 =3
Then by using the formula for the nth term of a GP, we get
Hence the nth term of the given GP is .
To learn more about Geometric progression, visit:
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Answer:
Step-by-step explanation:
<u>Given points:</u>
The perpendicular bisector passes through the midpoint.
<u>Finding the coordinates of the midpoint first:</u>
- x = (-2 + 6)/2 = 2, y = (-2 + 0)/2 = -1
<u>Next finding the slope of AB:</u>
- m = (0 - (-2))/(6 - (-2)) = 2/8 = 1/4
The perpendicular lines have negative-reciprocal slopes.
<u>The line will have a slope of -4 and pass through the point (2, -1)</u>
- y - (-1) = -4(x - 2)
- y + 1 = -4(x - 2) - point-slope form
- y = -4x + 7 - slope-intercept form
