In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?

Step 1: Find a common denominator

The least common denominator (LCD) of 6 and 3 is 6.

Convert 4/3​ to have denominator 6:

4/3=8/6

Step 2: Add the fractions

5/6+8/6=13/6​

Step 3: Convert to a mixed number

13/6 = 2 1/6

The best estimate is about 2 ½ cups.

Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.

Now we know that

2x-2000=48000

Add 2000 to both sides of the equation

2x-2000+2000=48000+2000

2x+2000-2000=50000

2x=50000

Divide both sides by 2

X=25000

Thus, the friend pays $25,000 for their car.

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

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 dimension of the field is shown below.

Area of rectangle = length * width

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

Area of the rectangle in hectares =

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.

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W

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

We assume the pizza to be full representing 1. One friend eats ½ of 1=1/2

The remaining portion of the pizza=1-1/2=2/2-1/2=1/2

Three friends share equally ½ of the pizza=1/2÷3=12*13=1/6

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.