Answer:
The value of k is 8/3
Step-by-step explanation:
To find this, start with the base equation and input the values. Then solve for k.
y = kx
24 = k9
24/9 = k
8/3 = k
Answer:
425 monkeys
Step-by-step explanation:
Subtract the number of birds from the number of monkeys to find the difference between the two.
Answer:
x = 13.48
Step-by-step explanation:
Given that,
Angle, 
base, b = x
Hypotenuse, H = 15
We need to find the measure of x. It can be solved using trigonometry i.e.
Put all the values,
So, the value of x is equal to 13.48.
I believe this has to do with theoretical and experimental probabilities.
Experimental probabilities are what actually happens and theoretical probabilities are what is expected to happen.
A coin landing on tails 8 out of 10 times....this is experimental probability
results based on an experiment....this is experimental probability
outcomes that should happen....this is theoretical probability
rolling a sum of 9 in 5 trials....this is experimental probability
so the one that is the odd ball is : outcomes that should happen
Answer:
Step-by-step explanation:
length * width * height = 1050 cubic ft
(10x + 5)* (2x -1) * (x +3) = 1050
(10x + 5 )(2x-1) = 10x*(2x - 1) + 5*(2x -1)
= 10x*2x - 10x*1 + 5*2x - 1*5
= 20x² - 10x + 10x - 5 = 20x² - 5
(10x + 5)(2x -1)(x+3) = (20x² -5) *(x + 3)
=20x²*(x +3) - 5*(x +3)
= 20x³ + 60x² - 5x - 15
20x³ + 60x² - 5x - 15 = 1050
20x³ + 60x² - 5x - 15 - 1050 = 0
20x³ + 60x² - 5x - 1065 = 0
By trial and error method , (x -3 ) is a factor
Synthetic method:
3 ( 20 60 -5 -1065
( 60 360 1065
20 120 355 0
20x² + 120x + 355 = 0
Divide the equation by 5
4x² + 24x + 71 = 0 . Solving this equation gives imaginary number. So, ignore these values.
So, value of x = 3
height = 3+ 3 = 6 ft
Length = 10*3 + 5 = 30 + 5 = 35ft
Width = 2x - 1 = 2*3 - 1 = 6 - 1 = 5 ft
Check: length * width * height = 35 * 5 * 6 = 1050 cubic ft
