Question

multiple choice 1 point
to determine a students overall test score for the year, mr. chung throws out the lowest score and then takes the average of the remaining test scores. al scored the following on mr. chungs tests this year: 64, 76, 81, 82, and 95.
what was als overall test score in mr. chungs class this year?
69.5
80.0
81.0
81.5
83.5

10 multiple choice 1 point
the mean of 4 numbers is 28. the smallest number in the set is 7. what is the mean of the other 3 numbers?
26.75
28
32
35
38.67

11 multiple choice 1 point
for what value of x is the equation -3x + 7=-17 true?
-24
-8
-10/3
10/3
8

Explanation:

Step1: Find the lowest score and remove it

The scores are 64, 76, 81, 82, 95. The lowest score is 64. After removing 64, the remaining scores are 76, 81, 82, 95.

Step2: Calculate the sum of remaining scores

$76 + 81+82 + 95=334$

Step3: Calculate the average of remaining scores

The number of remaining scores is 4. The average is $\frac{334}{4}=83.5$

Step1: Find the sum of the 4 numbers

The mean of 4 numbers is 28, so the sum of the 4 numbers is $28\times4 = 112$

Step2: Find the sum of the other 3 numbers

The smallest number is 7. So the sum of the other 3 numbers is $112 - 7=105$

Step3: Calculate the mean of the other 3 numbers

The mean of the other 3 numbers is $\frac{105}{3}=35$

Step1: Isolate the term with x

Given the equation $- 3x+7=-17$. First, subtract 7 from both sides: $-3x=-17 - 7$. So $-3x=-24$

Step2: Solve for x

Divide both sides of the equation $-3x=-24$ by - 3. We get $x=\frac{-24}{-3}=8$

Answer:

The overall test - score is 83.5