<span>There are 2 drawings, in the 1st one we have
to select correct four numbers between 1 and 62 while the 2nd one is
to select the one single number between 1 and 16.</span>
<span>In the 1st drawing, the probability of success
is 1 divided by the total number of 4 combinations that can be created from 62
numbers.</span>
P1 = 1 / 62C4
P1 = 1 / 557,845
<span>In the 2nd drawing, the probability of success
is 1 divided by 16:</span>
P2 = 1 / 16
Since the two drawings must be satisfied before you can
win the jackpot, then multiply the two:
P = P1 * P2
P = (1 / 557,845) (1 / 16)
P = 1 / 8,925,520 = 1.12 x 10^-7 = 1.12 x 10^-5 %
<span>Therefore the odd in winning this lottery is 1 in 8,925,520
chances.</span>
Answer: 14 tons
$3,860.50
Step-by-step explanation:
Let x = the amount of sugar transported.
First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars
Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x
When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50
Answer:
Step-by-step explanation:
x = width
4x - 16 = length
x + x + (4x - 16) + (4x - 16) = 68
= x + x + 4x - 16 + 4x - 16 = 68
= 10x - 32 = 68
= 10x = 100
= x = 10
width = 10 feet
length = 24 feet
Answer:
The answer is- 15c
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First, illustrate the problem:
24 feet is the distance between the tree and the mirror.
4 feet is the distance from Irene's eyes to the mirror.
5.5 feet is the distance of Irene's eyes from the ground.
4 feet is the distance of Irene from the mirror
From this, we can draw a right triangle and then use the Pythagorean theorem to solve for the height of the oak tree. Also, we have an option to use ratio and proportion between two similar triangles.