Leslie has a rectangular patio. She measures it and finds out it is 2135 feet long by 1115 feet wide. She wants to know how many
square feet of tile she will need to completely cover the patio. Draw the patio, and label the measurements. How much tile will Leslie need to cover the patio? If each square foot of tile costs 75 cents, how much will she have to pay to cover her patio?
1 answer:
Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)
(2) She will have to spend $1,785,393.75 to cover her patio.
Step-by-step explanation: Please refer to the picture attached.
The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;
Area = L x W
Where the length is 2135 and the width is 1115,
Area = 2135 x 1115
Area = 2380525
**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as
Area = L x W
Area = 1 x 1
Area = 1 square foot**
(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.
(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;
Cost = Area x cost per tile
Cost = 2380525 x 0.75
Cost = 1785393.75
The total cost therefore is $1,785,393.75
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Answer:
a) 59.34%
b) 44.82%
c) 26.37%
d) 4.19%
Step-by-step explanation:
(a)
There are in total <em>4+5+6 = 15 bulbs</em>. If we want to select 3 randomly there are K ways of doing this, where K is the<em> combination of 15 elements taken 3 at a time </em>
As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.
So, the probability of selecting exactly 2 bulbs of 75 W is
(b)
The probability of selecting three 40-W bulbs is
The probability of selecting three 60-W bulbs is
The probability of selecting three 75-W bulbs is
Since <em>the events are disjoint</em>, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%
(c)
There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is
(d)
The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, <em>supposing there is no replacement</em>, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.
As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is
Since there are no replacement, the probability of taking a second non 75-W bulb is now
Following this procedure 5 times, we find the probabilities
which are
0.6, 0.5714, 0.5384, 0.5, 0.4545
As the events are independent, the probability of choosing 5 non 75-W bulbs is the product
0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%
Answer:
4.6 km
Step-by-step explanation:
-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.
#Apply Pythagorean theorem to solve:
Hence, the distance x is 4.6 km