We appreciate your visit to Danielle has taken five math tests so far this year The tests are out of twenty points and she has received the following scores 17. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find out what Danielle needs to score on her sixth test to have a mean of 17.5, let's follow these steps:
1. List Danielle's current test scores: Danielle has scored 17, 19, 20, 14, and 16 on her first five tests.
2. Calculate the current total of the scores: Add up all the scores from the five tests:
[tex]\[
17 + 19 + 20 + 14 + 16 = 86
\][/tex]
3. Determine the desired mean: Danielle wants her average (mean) score to be 17.5 after six tests.
4. Calculate the total score needed: To find the total score required to achieve a mean of 17.5 across six tests, multiply the desired mean by the total number of tests:
[tex]\[
17.5 \times 6 = 105
\][/tex]
5. Determine the score needed on the sixth test: Subtract the sum of the first five scores from the total score needed:
[tex]\[
105 - 86 = 19
\][/tex]
Therefore, Danielle must score 19 on her sixth test to have an average of 17.5.
1. List Danielle's current test scores: Danielle has scored 17, 19, 20, 14, and 16 on her first five tests.
2. Calculate the current total of the scores: Add up all the scores from the five tests:
[tex]\[
17 + 19 + 20 + 14 + 16 = 86
\][/tex]
3. Determine the desired mean: Danielle wants her average (mean) score to be 17.5 after six tests.
4. Calculate the total score needed: To find the total score required to achieve a mean of 17.5 across six tests, multiply the desired mean by the total number of tests:
[tex]\[
17.5 \times 6 = 105
\][/tex]
5. Determine the score needed on the sixth test: Subtract the sum of the first five scores from the total score needed:
[tex]\[
105 - 86 = 19
\][/tex]
Therefore, Danielle must score 19 on her sixth test to have an average of 17.5.
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