Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
The true statement is that only line A is a well-placed line of best fit
<h3>How to determine the true statement?</h3>
The scatter plots are not given. However, the question can still be answered
The features of the given lines of best fits are:
<u>Line A</u>
- 12 points in total
- Negative correlation
- Passes through the 12 points with 6 on either sides
<u>Line B</u>
- 12 points in total
- Positive correlation
- Passes through the 12 points with 8 and 4 in either sides
For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.
From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.
Read more about line of best fit at:
brainly.com/question/14279419
#SPJ1
Answer:
<em><u>2</u></em><em><u>1</u></em><em><u>y</u></em><em><u>d</u></em><em><u>^</u></em><em><u>2</u></em>
Step-by-step explanation:
join the centre to all the vertex,
since this figure is of regular pentagon, it's will form 5 equal triangle of equal area!
now area of one such triangle is
1/2 ×base ×height
=1/2 ×3.5x2.4 (yd^2)
=4.2 yd^2
now the pentagon is sum of 5 such equal triangle,so it's are will be
5×4.2 (yd^2)
=21 yd^2
✌️:)
Answer:
75.02 ft
Step-by-step explanation:
Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.
The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.
tan(angle) = opposite/adjacent
tan(35) = x/100, x is just the unknown height of the tree.
multiply 100 on both side to get x by itself.
x = 100tan(35)
x = 70.02
add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).
70.02+5 = 75.02 ft
Answer:
Step-by-step explanation:
The question says that the fish population of an area is being tracked and a certain of 35 were collected,tagged and released.
Later another sample was collected and it revealed that 13% of those fishes caught were the ones tagged previously.
The estimated number of fishes in that area will be:
Let X= number of fishes available in that area
13 percent of fishes caught at the second sample collection were tagged
Number of fishes collected are 35
13/100×X= 35
X= 3500/13
X= 269
The number of fishes in the pond is around 269
