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

Based on the context, a synonym for "salient" is important, as it refers to points that are prominent or significant in the presentation.

Given the equation

(x/y)-z=rw

Subtract z on both sides of the equation

x/y=rw+z

multiply both sides by y

x=y(rw+z)

Now rearranging the fllowing equation

x=y(z+rw)

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

Here are the calculations for the medium and large pizzas:

Medium Pizza:

Diameter: 11 inches

Area: ××= 95.03 square inches

Price: $9

Cost per square inch: = 9.47 cents

Large Pizza:

Diameter: 15 inches

Area: ××= 176.71 square inches

Price: $13

Cost per square inch: = 7.36 cents

Cost Difference

The large pizza costs about 2.11 cents less per square inch than the medium pizza.

We use the relation 1 kg =1000 g to convert 3.193 kg to g

We determine least common denominator (LCD) using prime factorization of denominators as follows

2=1*2

3=1*3

5=1*5

Thus, LCD of 2, 3, 5 = 2*3*5=30

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving

12 ÷3*4-1+23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

To find the circumference of the flower bed (which is a circle), you use the formula π×diameter\pi \times \text{diameter}π×diameter. With a diameter of 5 feet and using π≈3.14\pi \approx. 3.14π≈3.14, the calculation is 3.14×5=15.73.14 \times 5 = 15.73.14×5=15.7 feet, which is the required length of the barrier.

The dimension of the field is shown below.

Area of rectangle =length * width

Area of rectangle =100 m *75 m= 7500 m2

Area of rectangle in hectares =

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.