Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10
Answer:
62
Step-by-step explanation:
The total of a triangle is 180
so 78+48 is 118
180-118=62
Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $
As per question statement:
Salary as per Plan 1 = $500 + 4% of
Salary as per Plan 2 = 8% of
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of = 8% of
Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
Volume = (1/3) * base area * height
= 1/3 * 24 * 18
= 144 ft^3
Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
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