Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
<u>Answer-</u>
<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>
<u>Solution-</u>
We know that,
![\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3DP%5B%5Cdfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
Where,
P = Payment = $50 monthly
r = rate of interest compounded monthly= 
n = number of period = 5 years = 5×12 = 60 months
Putting the values in the formula,
![\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3D50%5B%5Cdfrac%7B%281%2B0.0325%29%5E%7B60%7D-1%7D%7B0.0325%7D%5D)
![=50[\dfrac{(1.0325)^{60}-1}{0.0325}]](https://tex.z-dn.net/?f=%3D50%5B%5Cdfrac%7B%281.0325%29%5E%7B60%7D-1%7D%7B0.0325%7D%5D)
![=50[\dfrac{6.8140-1}{0.0325}]](https://tex.z-dn.net/?f=%3D50%5B%5Cdfrac%7B6.8140-1%7D%7B0.0325%7D%5D)
![=50[\dfrac{5.8140}{0.0325}]](https://tex.z-dn.net/?f=%3D50%5B%5Cdfrac%7B5.8140%7D%7B0.0325%7D%5D)


Therefore, the amount will be $8944.62 after 5 years.
Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation

As
so the standard deviation can be calculated as:
standard deviation 


Therefore, the standard deviation will be: 2.1
Multiply 3 * 1 1/2 to find how many miles she runs per hour
1 1/2 * 3
3/2 * 3
9/2
4 1/2 She will run 4 1/2 or 4.5 miles per hour.
2) EF is congruent to OP
3) angle P is congruent to angle F
4) angle G is congruent to angle Q (that weird upside down parentheses, I think that is a Q)
5) measure of angle O equals 110 degrees and it equals the measure of angle E
6)QO equals GE and it is 7km
7) triangle GFE is congruent to triangle QPO