Answer:
i need the graph to work on it-
Step-by-step explanation:
because i cant work without a graph for this problem
Answer:
22.2%
Step-by-step explanation:
Probability is the chance of an event happening, it can be found by using the following formula,
Where the word (desired) represents the outcomes one wants, and (total) represents the total number of outcomes.
In this case, one is asked to find the probability of the sum of two numbers the results from rolling two dice, not being a multiple of (3) or (2). In this case, it is easier to list out the number of numbers between (1) and (12) that are not a multiple of three or two. Please note, the largest sum of number one can get when rolling two dice is (12), since the largest value on a dice is (6), and (6+6) equals (12).
Not multiples of (3) or (2):
1, 5, 7, 11
There are (4) numbers that are not multiples of (2) or (3). This means that there are (8) multiples of (2) or (3) between the numbers of (1) and (12), since (12 - 4 = 8)
The total number of outcomes is the following:
This is because there are (6) sides on a die, the number of outcomes is equal to (6) times (6), thus (
) or (
).
Now set up the probability equation:
Substituted,
Write as a decimal:
0.222
As a percent:
22.2%
To find the greatest common factor, first find the largest evenly divisible number that you can take out in both numbers, in this case 15 and 25. Then find the greatest or highest number of each variable that you can evenly take out or divide in both terms, this is for a, b and c.
So GCF of 15 and 25 would be 5
GCF of a = a^1 or a
GCF of b = b^1 or b
GCF of c = c^1 or c
Put everything together to find the GCF.
GCF = 5abc.
Answer:
A. $8139.80
B. $8449.80
Step-by-step explanation:
Kindly check picture attached for explanation
Answer:
15.49 metres
Step-by-step explanation:
Given in the question that,
the railroad rail is 4 km before expansion.
To find,
the meters the centre of the rail rise above the ground on hot day.
When the railroad expands, it would approximate the forming of an isosceles triangle at the centre of the rail,
with base 4km
and
each isosceles side leg of the triangle is given by
(4 + 12x10^-5) / 2 = 4.00012 / 2 = 2.00006 kilometers
<em>1cm = 10^-2 m = 10^-(2+3) = 10^-5 km</em>
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Taking one half of the isosceles triangle, we have a right triangle with base
base = 4 / 2 = 2 km
and
hypothenuse = 2.00006 kilometers.
By using the Pythagoras theorem, find the height of the right triangle as formed above.
hypo² = base² + height²
2.00006² - 2² = height²
height = √(2.00006² - 2²)
= 0.01549km
= 0.01549 x 10^3 m
= 15.49m
Thus, the centre of the rail will rise 15.49 metres above the ground.
