Find the mode or modes.
The weights (in ounces) of 14 different apples are shown below.
table ( (5.0 5.5 4.6 6.9 4.1 5.0 5.5)(5.7 6.0 6.9 5.0 4.8 6.9 4.4) )
Question 40 options:
A)
5.5, 6.9
B)
5.0, 6.9
C)
5.0
D)
None
The mode or modes of a set of data are the numbers that appear most frequently. In this case, the numbers 5.0 and 6.9 both appear three times, which is more than any other number. Therefore, the mode or modes are 5.0 and 6.9.
The correct answer is A) 5.5, 6.9.
Find the mean of the set of data.
table ( (3.5 1.6 2.4 3.7 4.1)(3.9 1.0 3.6 4.2 3.4)(3.7 2.2 1.5 4.2 3.4)(2.7 0.4 3.7 2.0 3.6) )
Round your answer to two decimal places.
To find the mean of a set of data, you add up all the numbers in the set and then divide the sum by the total number of values.
The sum of the numbers in the set is: 3.5 + 1.6 + 2.4 + 3.7 + 4.1 + 3.9 + 1.0 + 3.6 + 4.2 + 3.4 + 3.7 + 2.2 + 1.5 + 4.2 + 3.4 + 2.7 + 0.4 + 3.7 + 2.0 + 3.6 = 62.3.
There are a total of 20 values in the set.
Therefore, the mean of the set of data is 62.3 / 20 = 3.115.
Rounded to two decimal places, the mean is 3.12.
So, the correct answer is 3.12.
The answers: Round your answer to two decimal places.
Question 36 options:
A)
3.27
B)
2.80
C)
2.94
D)
3.09
I apologize for the error in my previous response.
To find the mean of the set of data, you need to divide the sum of all the numbers by the total number of values.
The sum of the numbers in the set is: 3.5 + 1.6 + 2.4 + 3.7 + 4.1 + 3.9 + 1.0 + 3.6 + 4.2 + 3.4 + 3.7 + 2.2 + 1.5 + 4.2 + 3.4 + 2.7 + 0.4 + 3.7 + 2.0 + 3.6 = 62.3.
There are a total of 20 values in the set.
Therefore, the mean of the set of data is 62.3 / 20 = 3.115.
Rounded to two decimal places, the mean is 3.12.
So, none of the given options A) 3.27, B) 2.80, C) 2.94, or D) 3.09 is correct.
Solve the problem.
Ivan, who is 1.72 m tall, wishes to find the height of a tree.
He walks 22.47 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow.
He is now 5.03 m from the end of the shadows.
How tall is the tree?
Round to the nearest hundredth.
A)
0.39 m
B)
9.40 m
C)
7.68 m
D)
2.22 m
To find the height of the tree, we can set up a proportion using the similar triangles formed by Ivan, his shadow, and the tree's shadow.
Let x be the height of the tree.
According to the given information, Ivan's height is 1.72 m and his distance from the end of the shadows is 5.03 m. The distance from the base of the tree to the end of the shadows is 5.03 m + 22.47 m = 27.5 m.
We can set up the proportion:
(Height of Ivan) / (Ivan's shadow length) = (Height of the tree) / (Length of the tree's shadow)
Substituting the known values, we get:
1.72 m / 5.03 m = x / 27.5 m
To solve for x, we can cross-multiply:
5.03 m * x = 1.72 m * 27.5 m
x = (1.72 m * 27.5 m) / 5.03 m
x ≈ 9.414 m
Therefore, the height of the tree is approximately 9.414 m.
Rounded to the nearest hundredth, the height is 9.41 m.
So, the correct answer is B) 9.40 m.