Answer:
68% Confidence interval = [4.5752, 4.5848]
95% Confidence interval = [4.5688, 4.5918]
Step-by-step explanation:
Sample mean (X) = 4.580
Sample Standard Deviation (S) = 0.01065
Sample size (n) = 6
for alpha/2 0.84 = 1.1037
for alpha/2 0.975 = 2.5706
68% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)]\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%5D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5752, 4.5848]
95% Confidence interval = ![[x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)}\frac{S}{\sqrt{n}}]](https://tex.z-dn.net/?f=%5Bx-T_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%2C%20x%2BT_%7B%285%29%7D%5Cfrac%7BS%7D%7B%5Csqrt%7Bn%7D%7D%5D)
= [4.5688, 4.5918]
Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
Not sure but I think it’s 13/1000♀️
Answer:
pick 3 it correct i think so or its 2
Step-by-step explanation:
