The probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:
this is your answer look it once
To help Carmen find the total after 3 years
We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ
A = Final balance (?)
P = Principal balance (6000)
r = Rate (0.028)
n = years (3)
A = 6000(1 + 0.028)³
A = 6000(1.028)³
A = 6000(1.086373952)
A = 6518.243712
Round that to the nearest cent, and we get $<u>6,518.24 </u>as the answer.
Answer:
12
Step-by-step explanation:
The equation of the hyperbola is : 
The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)
As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin:
The distance from center to focus is 'c' and here focus is at (-50,0)
So, c= 50
Now if the distance from center to the directrix line is 'd', then

Here the directrix line is given as : x= 2304/50
Thus, 
⇒ 
⇒ a² = 2304
⇒ a = √2304 = 48
For hyperbola, b² = c² - a²
⇒ b² = 50² - 48² (By plugging c=50 and a = 48)
⇒ b² = 2500 - 2304
⇒ b² = 196
⇒ b = √196 = 14
So, the equation of the hyperbola is : 