Given :


Now, Substituing the value of y in equation (ii) :








Now, substituting the value of x in equation (i) :




Answer:
15 goals out of 50 penalty kicks was scored by brock
Step-by-step explanation:
If Brock shoots 50 penalty kicks and the probability that he scores a penalty kick is 3/10, the number of goal brock is expected to make can be expressed as:
Number of goals scored = probability value * total penalty kicks taken
Number of goals scored = 
Number of goals scored = 
Answer:

Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

Because the parameter
is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have

Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is
.
Answer:
copied from InesWalston expert
Money in the bank account after 3 years will be $329.18
Step-by-step explanation:
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.
We know that,
i = p.r.t / 100
Where,
i = interest
P = Principal = $315
r = Rate of interest = 1.5% annual
t = time period = 3 years
Putting the values,
i = 315 × 1.5 × 3 / 100 = $14.18
Total money in bank account = Principal + interest = 315 + 14.18 = $329.18
This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.
We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.
We also know that √ 108 is greater than √ 100 =10
So we can conclude that
√ 108 > √ 100 = 10 > 9.4247
or simply
√ 108 > 9.4247
by the transitive property of logical propositions.