Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
Answer:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Step-by-step explanation:
Suppose that we have a cube with sidelength M.
if we rescale this measure with a scale factor 8, we get 8*M
Now, if previously the area of one side was of order M^2, with the rescaled measure the area will be something like (8*M)^2 = 64*M^2
This means that the ratio of the surfaces/areas will be 64.
(and will be the same for a pyramid, a rectangle, etc)
Then the correct options will be the ones related to surfaces, that are:
The scaled surface area of a square pyramid to the original surface area.
The scaled area of a triangle to the original area.
Answer:
97.35
Step-by-step explanation:
355.5 - 235.5 -22.65
I am subtracting 235.5 and 22.65 from 355.5 because I am spending that much money on the things.
=> 355.5 - 235.5 - 22.65
=> 120 - 22.65
=> 97.35 rupees
So, 97.35 rupees is left
Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u> + 8 + 8</u>
<u>19x</u> = <u>64</u>
19 19
x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
Answer:
Percentage = 14.2%
Step-by-step explanation:
<u>Given the following data;</u>
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>
<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>
