Question

Can some one do my homework plz

Over winter break, Alex took a trip to Montana and recorded the temperatures for the week. The temperature for the first six days of his trip are listed below. If the average temperature for the week he was on vacation was 1.2 degrees Fahrenheit, what was the temperature for Sunday?


Monday -5.3F
Tuesday 3.6F
Wednesday 6.7F
Thursday 0F
Friday 10F
Saturday -4.3F
Sunday ?F

Answer 1

The temperature for Sunday was -2.3F

Explanation:

When we have a set of N values:

{x₁, x₂, ..., xₙ}

The mean is given by:

`M = (x_1 + x_2 + ... + x_n)/(N)`

In this case, we have the set:

{-5.3F, 3.6F, 6.7F, 0F, 10F, -4.3F, X}

Where X is Sunday's temperature.

So we have a set of 7 values, and we know that the mean of this set is 1.2F

Then we have the equation:

`1.2F = (-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X)/(7)`

If we multiply both sides by 7, we get:

`1.2F*7 = 8.4F =-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X`

Now we can just solve this for X

8.4F + 5.3F - 3.6F - 6.7F - 10F + 4.3F = X

-2.3F = X

The temperature for Sunday was -2.3F