Answer:
3/50
Step-by-step explanation:
There are 5 + 4 + 2 + 6 + 3 = 20 marbles in the bag
P(draw a black) = 6/20 = 3/10
If the black marble is replaced, then there are 20 marbles in the bag again.
P(draw a blue) = 4/20 = 1/5
P(draw a black and blue with replacement) = (3/10)(1/5) = 3/50
Answer:
see explanation
Step-by-step explanation:
length =
= 7.5 in
scale factor =
=
= 
---------------------------------------------------
length =
= 48 cm
scale factor =
=
= 
Answer:
The average change is 405
Step-by-step explanation:
The initially the number of subscriber = 12125
After five years the number of subscriber = 10100
Now we have to find the average change in the number of subscribers.
The average yearly change = change in subscriber/number of years.
Now insert the values in the above formula.
The average yearly change = (12125 – 10100) / 5
The average yearly change = 2025/5
The average yearly change = 405
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.