Answer:
1/4
Step-by-step explanation:
The probability of getting a heads is 1/2
The probability of getting an odd number
1,3,5
----------- = 3/6 = 1/2
1,2,3,4,5,6
Since they are independent events, we multiply the probabilities
1/2 * 1/2 = 1/4
Answer:
maximum height reached = 35 feet
and 
Step-by-step explanation:
writing linear motion equations

where s is the total displacement, u the initial velocity, t the time travelled, and a is the acceleration.
given u = 48 ft/s, and a = acceleration due to gravity g = -9.8
1 m = 3.28 feet therefore g becomes -9.8×3.28
here negative sigh comes as acceleration due to gravity is in opposite direction of initial velocity.
therefore f(t) becomes 
to find max height we should find differentiation of f(t) and equate it to 0
therefore we get 48 = 32.144t
t = 1.49 s
therefore max height f(1.49) = 71.67-36.67 = 35 feet
Let the amount of the first brand be x, and let the amount of the second brand be y.
0.09x + 0.14y = 240 * 0.13 .................(1)
x + y = 240 ..............(2)
y = 240 - x .......................(3)
Plugging the value for y from equation (3) into equation (1), we get:

...............(4)
Equation (4) simplifies to:
-0.05x = -2.4
giving the value for the required amount of 9% vinegar as 48 ml and the required amount of 14% vinegar as 240 - 48 = 192 ml.
Answer:
12.6
Step-by-step explanation:
The answer is 12.6 and here is the explanation of using the Distributive Property. Because we are multiplying a whole number by a mixed number, we have to multiply the whole number by the whole number in the mixed number and then multiply the whole number by the fraction. In this case, we have 3 x 4 1/5. We multiply 3x4=12 first, and then we multiply 3x1/5 to get 0.6. 12+0.6=12.6. Hope it helps!
Answer:
The first expression can be rewritten as
35 {b}^{2} = 5 \times 7 \times {b}^{2}35b
2
=5×7×b
2
The second expression is rewritten as
15 {b}^{3} = 3 \times 5 {b}^{3}15b
3
=3×5b
3
The third expression is
5b = 5 \times b5b=5×b
The greatest common factor is the product of the least powers of the common factors.