Answer:
480
Step-by-step explanation:
Sn = n÷2 × (2a + (n-1)d)
n = 20 a = -14 d = 4
S20 = 10 × (-28 + 19 × 4) = 480
Here are the steps
1: Put the compass on Q and make the width equal to the distance from Q to L. Extend line LM towards the left side of L and draw an arc hitting the line segment on the left side of L
2. <span> Without changing the width and position of the compass, draw an arc between L and M.
3. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (left side of L). Draw an arc above line LM.
4. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (right side of L). Draw an arc above line LM.
5. Use a straight edge to make a line from the intersection of the two arcs above line LM to Q intersecting through L along the way. </span>
Answer:

Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:

The outcomes of multiples of 4 is:


So, the probability of multiples of 4 is:


The sample size of PENNSYLVANIA is:

The outcome of V is:

So, the probability of V is:

So, the required probability is: P(Multiple of 4 and V)




Express as percentage


Answer:
1cm:100cm
Step-by-step explanation:
You have to convert the ratio into the same unit (I chose cm). If there are 100cm in a metre, there will be 300cm in 3m.
That leaves you with the ratio 3cm:300cm. To simplify, divide both sides by three leaving you with 1cm:100cm
Given:
The cost y (in dollars) of renting a segway for x hours is

To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get

The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.