Answer:
Step-by-step explanation:
1.2307692307692.
The first step is to find the proportionality constant.
The formula is
z = kx/y
1.2307692307692 = k * 4/13 Multiply both sides by 13
1.2307692307692 * 13 = 4k
16 = 4*k Divide by 4
k = 16/4
k = 4
=================================
z = k*x/y
x = 9
y = 20
k = 4
z = 4 *9/20
z = 36/20
z = 1.8
Answer: 0.24
Step-by-step explanation:
The probability of randomly selecting a blue card = 20% = 0.2
The probability of randomly selecting a red card = 30% = 0.3
The probability of not randomly selecting a blue card = 1 - 0.2 = 0.8
The probability of not randomly selecting a red card = 1 - 0.3 = 0.7
Therefore, the probability that Stella will randomly select a card that is not blue, replace it, then randomly select a card that is red will be:
= P(not blue ) × P(red)
= 0.8 × 0.3
= 0.24
The answer is 0.24
Let x the maximum speed of the plane and y be the speed of the wind.
We know that:
1)Distance = speed x time
2) if the head wind is y, then the resulting speed is x-y (against the wind)
3) if the tail wind is y, then the resulting speed is x+y (with the wind)
1) and 2): 2400 = (x-y).(6) or 6x-6y = 2400
1) and 3): 2400 = (x+y).(5) or 5x+5y = 2400
Hence the system of 2 equation:
6x - 6y = 2400
5x + 5y = 2400.
Solving it gives x = 440 mi/h and y = 40 mil/h
Then the speed of the plane with no wind is 440 km/h
Answer:
12
Step-by-step explanation:
Answer:
+ 25
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term )²
the coefficient of the x- term is 5 and 5² = 25, hence
x² + 10x + 25 = (x + 5)² ← perfect square
