A) 1/5 + 5/9
find common denominator:
9*5 = 45
pillow case: 1/5 = 9/45
table cloth: 5/9 = 25/45
9/45 + 25/45 = 34/45 was used
B. using 45 as the denominator the full piece of cloth would be 45/45
fraction left over = 45/45 - 34/45 = 11/45 left
C. from A the pillow case uses 9/45, they have 11/45 left, because 9 is less than 11, they have enough to make a pillow case
The chance to win = 1 : 6³ = 1 / 216
To win $500, the player needs to pay $216 on average.
500/ 216 = 2.31
$2.31 win and $1 cost per game gives $1.31 net win.
Step-by-step explanation:
confidence coefficient for 99% is 2.58
2.58 * 19.4/sqrt(n) = 0.04
2.598*19.4/0.04 = sqrt(n)
( 2.598*19.4/0.04)^2 = n
1587676
Answer:
37.8 m
Step-by-step explanation:
The computation of the distance is shown below:
In triangle ADE

AD = 5.8
Now the distance walked after completing his edging is
Distance = AD + AB + BC + CD
= 5.8 + 12 + 5 + 15
= 37.8 m
We simply added these four sides so that the correct distance could arrive
Hence, the distance walked after completing his edging is 37.7
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation: