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the mean temperature for the past 10 days was 22 degrees c. If the sum if the temperature for the first nine days was 200, what was the temperature on day 10? A.) 10c B.) 32c C.) 22c D) 20c​

Respuesta :

MsRay

Answer:

D) 20c

Step-by-step explanation:

Mean is the average of a set of numbers.  To find the average, you add up the values of the data and divide by the number of data points.  In this case, the number of data points is 10 days and the average was 22 degrees.  Given that the sum of the first nine days was 200, you can let 'x' be the temperature on the tenth day and solve for the temperature:

[tex]\frac{200+x}{10}=22[/tex]

Multiply 10 on both sides: 200 + x = 220

Subtract 200 on both sides: 200 + x - 200 = 220 - 200

Solve for x: x = 20c

Parrain

In order for the average to be 22°C, the temperature on day 10 must have been D. 20°C

The average is calculated by adding all the variables in a data set and then dividing by the number of the variables.

There are 10 variables here and 9 have been added up already. The 10th can be denoted as x.

The average is therefore:

(200 + x) / 10 = 22

Solving for x would give:

(200 + x) / 10 = 22

200 + x = 22 × 10

x = 220 - 200

x = 20 ° C

In conclusion, the temperature on the 10th day was 20°C.

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