Answer:
It would take approximately 6.50 second for the cannonball to strike the ground.
Step-by-step explanation:
Consider the provided function.

We need to find the time takes for the cannonball to strike the ground.
Substitute h(t) = 0 in above function.

Multiply both sides by 10.

For a quadratic equation of the form
the solutions are: 
Substitute a = -49, b = 305 and c=88

Ignore the negative value of t as time can't be a negative number.
Thus,

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.
Answer:
p=3 , q=1 , r=2
Step-by-step explanation:
1176=2*2*2*3*7*7
1176=(2^3)*(3^1)*(7^2)
given that 1176 = (2^p)*(3^q)*(7^r)
Comparing Equation 1 & 2
we get p=3 , q=1, r=2
Answer:
a) For this case we can use the definition of weighted average given by:

And if we replace the values given we have:

b) 
c) 
Step-by-step explanation:
Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.
a) What is the mean for the combined set if both of the original samples have n=4 scores
"
For this case we can use the definition of weighted average given by:

And if we replace the values given we have:

b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5
Using the definition we have:

c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3
Using the definition we have:
