A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional of 25% off of the sale price. If the consumer pays $237 for the recliner, which of the following is the original price of the recliner to the nearest dollar?

Number of boxes in the room is equal to the volume of the room divided by the volume of one box

Volume of the room=9 ft*9 ft*9 ft= 729 ft3

Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3

Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes

Thus, the room can store 91.125 boxes, which is about 91 boxes.

However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft. To determine how many boxes fit along each dimension:

• In the 9 ft length, you can fit\(\frac{9}{2} = 4.5\) boxes, which means only 4 whole boxes fit along this dimension.
• In the 9 ft width, you can fit 4 whole boxes.
• In the 9 ft height, you can fit 4 whole boxes.

Therefore, the total number of boxes that fit is:

\(4×4×4=64\ boxes\)

To convert inches to centimeters, use the conversion factor:

1inch=2.54cm

Now, multiply:

7×2.54=17.78cm

A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:

People who play baseball more tend to have more hits is POSITIVE CORRELATION

Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION

Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION

Cars that are older tend to have higher mileage is a POSITIVE CORRELATION

Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.

The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.

Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.

As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.

100% represents total students four allied health program. Thus, 100%=800 students, and 19% joins respiratory care program is

Thus, 152 students joined the respiratory care program.

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

Organize the date set from the smallest to the largest as:

-3, -2, 0, 5, 10

Median means one that is at the middle, and from the above-given data set, 0 falls at the middle.

To solve this problem, we need to find the mean, mode, and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

The mean of data is the total divided by the number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So the median average of the two elements=(3+7)/2=5

Now the data could be presented as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

From the given equation, the variable t is varied to obtain the value of f(t). This means that t is an independent variable, modified variable while f(t) is a dependent variable, a measured value.