The data below represents students’ test scores. Which of the following is the median of the set data?

80, 76, 92, 96, 44, 86, 56, 93, 69

Explanation: The percentage change in weight is found in three steps below:
Absolute change in weight = final weight - initial weight

Absolute change in weight =(|180 - 190| = |-10| = 10)

Relative change in weight =(frac{absolute change}{initial weight} = frac{10}{190} = 0.0526)

Percent change = relative change * 100%

Percent change = 0.0526 * 100% = 5.26%

The percent change in weight lost is 5.26%, which is about 5%.

In this question, we need to find the ratio of dimes to quarters.

If we let x be number of pennies in the bottle. Then,

Number of quarters in the bottle = 3x

Number of nickels in the bottle = 5x

Number of dimes in the bottle =2(5x)=10x

Now relating dimes to quarters, we have

Thus, there are 2 times as many dimes as nickels in the box.

In this problem, we assume the truck carry a whole cargo to carry. Thus, total weight is found by dividing 615 lb by 3/5. Thus,

We change the division sign to product and multiply 615 by reciprocal of 3/5. Then,

(615 * frac{5}{3} = 1025 lb)

The weight of the cargo in the truck will be 1025 lb.

We need to find the percent change in weight of a person. To find the percent change, follow the following steps:

• Find absolute change in weight
• Find relative change
• Find the percent change from relative change.

Absolute change is the difference between the final value and initial value. Our initial value is 120 lb and final value is 160 lb. Then,

Relative change is given by

Percent change is determined by

To the nearest whole number, the percent change is 33%.

In the equation \(y(x)=7+8x\), xis the independent variable because it is the input that determines the value of the dependent variable y.

Explanation: the median of a data set is the element that is found on the middle position.

To find median, organize the given data from the smallest to largest.

44, 56, 69, 76, 80, 86, 92, 93, 96

Now, the number of elements in the date set is 9, which is an odd number. The median falls in the position

(N+1)/2=(9+1)/2=10/2=5.

The number that falls in the 5th position is 80. Thus, 80 is the median of the data.

To find the required number of cups of milk, we need to set up a proportion equation. If we let x be the required number of cups and cups of flour as numerator and cups of milk in denominator, then the result proportion becomes:

We cannot multiply mixed fractions with any number, so we change 2 1/5 into an improper fraction as

The proportion equation becomes

Cross-multiply to solve for x

As a mixed fraction, 77/5 becomes 15 2/5. Therefore, to make a bigger batch, the chef needs 15 2/5 cups of milk.