Answer:
The jar has 32 dimes and 18 quarters
Step-by-step explanation:
<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u>
<u> and </u>
<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:
Dimes (
) = $0.10
Quarters(
) = $0.25
Total Value = $7.70
Total Coins = 50
Now let us set up our system of equations as:
Eqn.(1)
Eqn.(2)
Lets take Eqn.(2) and rerrange it to solve for
as:
Eqn.(3)
Now lets plug this, in Eqn.(1) so we get the value of
as:


Plugging in
back in Eqn.(3) we finally have:

Thus we conclude that in the jar the coins are:
Dimes (
) 
Quarters(
) 
The surveyor selects the twentieth student who enters the building. The student do not enter the building to be surveyed but for other reasons and the researcher take advantage of that and selects them. This is a form of continence sampling.
The researcher selects every twentieth student and not any other. Therefore, the sampling is systematic in nature.
Finally, students selected to participate in the survey are free to choose if to participate in he survey or not. Therefore, it is voluntary kind of sampling.
Therefore, the applicable sampling methods are convenience, systematic, and voluntary.
Answer:
Step-by-step explanation:
It's actually 6 cm. This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.
The force exerted on victim is 20 newton
<em><u>Solution:</u></em>
An attacker swings a board with a mass of 2 kg toward a victim
The acceleration is 10
when the board hits the victim
To find: Force exerted on victim
<em><u>The force is given by formula:</u></em>

From given,

<em><u>Substituting the values in formula,</u></em>

Thus force exerted on victim is 20 newton
9 candles because u have to divide 15 by 6 then divide 22.50 by the answer