Answer:
The table representing the number of students by which mode of transport they travel is given as:
Walk or bike Bus Car Row Total
Below age 15 87 60 18 165
Age 15 and above 65 50 80 195
Column Total 152 110 98 360
We know that a relative frequency of an event is the ratio of frequency to the total number of trials.
i..e we divide each frequencies by 360 to obtain a two-way relative frequency.
Hence,the table is given as:
Walk or bike Bus Car Row Total
Below age 15 0.24 0.17 0.05 0.46
Age 15 and above 0.18 0.14 0.22 0.54
Column Total 0.42 0.31 0.27 1
The area of a 2D form is the amount of space within its perimeter. The area of the bottom of the box is 64 square inches.
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
Given the radius of the base of the plastic bottle is 2 inches, and there are four bottles arranged as shown below, therefore, the area of the bottom of the box is,
Hence, the area of the bottom of the box is 64 square inches.
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Answer:
gradient = - 
, y- intercept = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - x + ← in slope- intercept form
with slope m = - and y- intercept c =
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
- No, a length of 6 in, width 3/4 in. is not proportional.
- Yes, a length of 1/2 in, width 4 in. is not proportional.
- No, a length of 1 1/8 in, width 9 in. is not proportional.
- No, a length of 3 in, width 5 5/8 in. is not proportional.
<h3>What is a direct proportion?</h3>
Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
- y and x are the variables or dimensions.
- k represents the constant of proportionality.
For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
100% is whole, so 100 minus 57% equals 43% so 43% of 13 to 18 year olds are not influenced by celeberties.
