Which of the following is the most likely weight of a pencil?

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

A 10% discount on the original price of $950 equals $95 (10% of 950 = 95). Subtracting this discount from the original price, $950 - $95, gives a sale price of $855.

To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:

1,570−400=1,170

Now, we divide the remaining balance by the monthly payment amount:

1,170÷100=11.7

Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.

C. 17.8 cm.

Explanation

To convert inches to centimeters, we use the conversion factor:

1 inch = 2.54 centimeters.

7 inches×2.54 cm/inch

=17.78 cm

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.

Mean of data is total divided by 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 median average of the two elements=(3+7)/2=5

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

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

To calculate the average rate of change per month, we first determine the total change in the account balance and then divide that by the number of months over which the change occurred.

The change in the balance from March 15 to August 15 is:

Changeinbalance=1450−1140=310

Now, we calculate the number of months between March 15 and August 15:

Numberofmonths=5months

Next, we find the average rate of change per month:

Averagerateofchangepermonth = = 62

To find the average speed in miles per hour, we need to convert the time from minutes to hours and then use the formula for speed:

Speed =

The distance traveled is 7.125 miles.

The time was 10 minutes, which is equivalent to:hours

Now, we can calculate the speed:

Speed = 7.125 ÷ = 7.125×6 = 42.75mph

The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.

Convert 5 ¼ into improper faction as follows

So, percent equivalent is:

The independent variable is the one that is changed or controlled in an experiment to test its effects on the dependent variables. Here, the number of hours worked is independent because it affects the other variables (taxes withheld, retirement savings, and sick leave), making it the cause rather than the effect.

To find the number of calories from fat per tablespoon, follow these steps:

Calculate the total calories from fat in one serving (2 tablespoons):

87.5%×80=0.875×80=70caloriesfromfat

Determine the calories from fat per tablespoon: Since one serving is 2 tablespoons, divide the total calories from fat by 2:

=35caloriesfromfatpertablespoon