Kobe asked a question and recorded the answers in the table below. Is there variability in the answers?
Hours Each Student Watched TV on Saturday
2, 2, 3, 4, 5, 1, 0, 0, 4, 5, 8, 9, 8, 4, 4, 3, 2, 2, 1, 3, 0
Yes, there is variability in the answers. The range of hours of TV watched on Saturday is from 0 to 9, indicating a wide range of answers. Additionally, there are multiple different values recorded in the table, indicating that not all students watched the same amount of TV.
To determine whether there is variability in the answers, we need to calculate the range and the standard deviation of the data set.
1. Range:
The range is the difference between the maximum and minimum values in the data set.
In this case, the maximum value is 9 and the minimum value is 0.
Range = 9 - 0 = 9.
2. Standard Deviation:
The standard deviation measures how spread out the values are from the mean. A higher standard deviation indicates more variability in the data.
To calculate the standard deviation, we need to follow these steps:
Step 1: Find the mean of the data set.
To find the mean, add up all the numbers and divide by the total count.
Mean = (2 + 2 + 3 + 4 + 5 + 1 + 0 + 0 + 4 + 5 + 8 + 9 + 8 + 4 + 4 + 3 + 2 + 2 + 1 + 3 + 0) / 21
Mean = 77 / 21
Mean ≈ 3.67 (rounded to two decimal places).
Step 2: Find the difference between each value and the mean, squared.
(2 - 3.67)^2 = 2.57
(2 - 3.67)^2 = 2.57
(3 - 3.67)^2 = 0.45
(4 - 3.67)^2 = 0.11
(5 - 3.67)^2 = 2.25
(1 - 3.67)^2 = 7.78
(0 - 3.67)^2 = 13.42
(0 - 3.67)^2 = 13.42
(4 - 3.67)^2 = 0.11
(5 - 3.67)^2 = 2.25
(8 - 3.67)^2 = 18.22
(9 - 3.67)^2 = 28.11
(8 - 3.67)^2 = 18.22
(4 - 3.67)^2 = 0.11
(4 - 3.67)^2 = 0.11
(3 - 3.67)^2 = 0.45
(2 - 3.67)^2 = 2.57
(2 - 3.67)^2 = 2.57
(1 - 3.67)^2 = 7.78
(3 - 3.67)^2 = 0.45
(0 - 3.67)^2 = 13.42
Step 3: Find the average of the squared differences.
Average = (2.57 + 2.57 + 0.45 + 0.11 + 2.25 + 7.78 + 13.42 + 13.42 + 0.11 + 2.25 + 18.22 + 28.11 + 18.22 + 0.11 + 0.11 + 0.45 + 2.57 + 2.57 + 7.78 + 0.45 + 13.42) / 21
Average ≈ 6.10 (rounded to two decimal places).
Step 4: Take the square root of the average.
Standard Deviation = √6.10
Standard Deviation ≈ 2.47 (rounded to two decimal places).
Conclusion:
Based on the calculations, there is variability in the answers as indicated by the range (9) and the standard deviation (2.47).
You have a job that pays $15.00 for each day you show up, plus $8.50 per hour. Which expression shows the amount you make in one day if you work for h hours?
The expression that shows the amount you make in one day if you work for h hours is:
$15.00 + ($8.50/h) * h
Brittany paid a total of $36.00 for 3 pairs of pants. If each pair of pants costs the same amount, what is the price of one pair of pants?
To find the price of one pair of pants, we can divide the total cost by the number of pairs of pants.
Price of one pair of pants = Total cost / Number of pairs of pants
Price of one pair of pants = $36.00 / 3 pairs of pants
Price of one pair of pants = $12.00
Therefore, the price of one pair of pants is $12.00.
All of the values in the set of data fall between 60 and
50
60
70
80
90
100
There seems to be confusion in the range of values mentioned. If all the values in the set of data fall between 60 and 100, then the correct range of values would be:
60, 70, 80, 90, 100
In this case, the lowest value in the data set is 60 and the highest value is 100. Thus, the range is calculated by subtracting the lowest value from the highest value:
Range = 100 - 60 = 40
Therefore, the correct range of values for the given set of data is 40.
Which expression means "10 divided by a number w and then increased by 13"?
The expression that means "10 divided by a number w and then increased by 13" is:
10/w + 13
Which of the division expressions below has a remainder? Select all that apply.
A) 12, 484 ÷ 12
B) 19,716 18
C) 43, 216 ÷ 16
D) 21, 4569
E) 45,785 25
A) 12, 484 ÷ 12
C) 43, 216 ÷ 16
E) 45,785 ÷ 25
To determine if a division expression has a remainder, we need to check if the dividend (the number being divided) is evenly divisible by the divisor (the number doing the dividing). If there is a remainder, then the expression has a remainder.
In the given options:
A) 12, 484 ÷ 12: 12, 484 is divisible by 12 without any remainder.
B) 19,716 ÷ 18: The divisor is missing, so we cannot determine if there is a remainder.
C) 43, 216 ÷ 16: 43,216 divided by 16 results in a remainder of 8.
D) 21, 4569: The divisor is missing, so we cannot determine if there is a remainder.
E) 45,785 ÷ 25: 45,785 divided by 25 results in a remainder of 10.
Based on this analysis, options C) and E) have remainders.
Simplify the expression below.
4(5.5)
To simplify the expression 4(5.5), we need to multiply the numbers:
4 * 5.5 = 22
Therefore, the simplified expression is 22.
Each tree in Oliver's back yard requires 4 gallons of water every week. If Oliver has 4 trees in his back yard, which point on the coordinate plane represents the gallons of water Oliver feeds his trees every week? Treat plants as the X variable and water as the Y variable.
To represent the relationship between the number of plants and the gallons of water, we can use the coordinate plane, where the x-axis represents the number of plants and the y-axis represents the gallons of water.
Since Oliver has 4 trees, the x-coordinate would be 4.
And since each tree requires 4 gallons of water every week, the y-coordinate would be 4 * 4 = 16.
Therefore, the point representing the gallons of water Oliver feeds his trees every week on the coordinate plane would be (4, 16).
Which of the answer choices will be located in the blue section of the coordinate plane? Select all that apply.
6
5
2
-3-2-10
1 2 3 4 5
6
ゆか
Based on the given options, it is not clear which values or expressions are being referred to as answer choices.
Please provide the possible answer choices for better assistance.
(-3, -7)
(4,-1)
(-2, 3)
(2,2)
(4,5)
To determine which of the given points are located in the blue section of the coordinate plane, we need to have a reference or description of the blue section. Without further information, it is not possible to determine which points specifically fall within the blue section.
If you provide more details or a description of the blue section, I would be able to assist you in identifying the points located within that specific area.
A 4 quadrant coordinate plane. The area to the right of the y axis and above the x axis is shaded blue. The area to the left of the y axis and above the x axis is shaded red. The area to the left of the y axis and below the x axis is shaded yellow. The area to the right of the y axis and below the x axis is shaded orange.
In that case, let's determine which of the given points fall within the blue section of the coordinate plane. The blue section is defined as the area to the right of the y-axis and above the x-axis.
Given the points:
1) (-3, -7) - Does not fall within the blue section.
2) (4, -1) - Falls within the blue section.
3) (-2, 3) - Does not fall within the blue section.
4) (2, 2) - Falls within the blue section.
5) (4, 5) - Falls within the blue section.
Therefore, the points (4, -1), (2, 2), and (4, 5) are located in the blue section of the coordinate plane.
Which letter is located at the opposite of 2?
E
-5
-4
-3
D
-2
C
-1
LL F
0
1
2
A
++
3
B14
4
5
To determine which letter is located at the opposite of 2, we need to find the option that is the opposite of 2 on the number line.
The opposite of 2 is -2.
Among the given options, the option that represents -2 is "D".
Therefore, the letter "D" is located at the opposite of 2.
v
I apologize, but it seems like there may have been an error in the question or response.
If you have any further questions or need assistance, please let me know and I'd be happy to help.
In which of the expressions below will x = 18? Select all that apply.
A) 3x 12 5
B) 4x 18 54 - =
C) 4x98
D) 25 (4+x) = 3
E) 3(x-12) 36
To find the expressions where x equals 18, we can substitute x=18 into each expression and check the validity.
A) 3x + 12 = 5
Replacing x with 18:
3(18) + 12 = 5
54 + 12 ≠ 5
This equation is not true when x=18.
B) 4x + 18 - 54 = -
Replacing x with 18:
4(18) + 18 - 54 = -
72 + 18 - 54 = -
90 - 54 ≠ -
36 ≠ -
This equation is not true when x=18.
C) 4x = 98
Replacing x with 18:
4(18) = 98
72 = 98
This equation is not true when x=18.
D) 25(4+x) = 3
Replacing x with 18:
25(4 + 18) = 3
25(22) ≠ 3
This equation is not true when x=18.
E) 3(x-12) = 36
Replacing x with 18:
3(18 - 12) = 36
3(6) = 36
18 = 36
This equation is not true when x=18.
None of the given expressions are true when x equals 18.
Compare using >,
0.1-1
To compare 0.1 and -1 using the greater than symbol (>), we write:
0.1 > -1
This statement is true because 0.1 is greater than -1.
Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?
To determine if Muhammad will have enough yarn to make a scarf, we need to convert the yards and inches of yarn into feet, and then compare the total length to the minimum requirement of 6 feet.
1 yard is equivalent to 3 feet (because 1 yard = 3 feet).
So, 2 yards is equal to 2 * 3 = 6 feet.
Next, we need to convert the inches into feet. Since there are 12 inches in 1 foot, we can divide the given inches by 12.
3 inches ÷ 12 = 0.25 feet.
Now, let's add the feet and inches together:
6 feet (from the yards) + 0.25 feet (from the inches) = 6.25 feet.
The total length of yarn is 6.25 feet.
Since 6.25 feet is greater than the minimum requirement of 6 feet, Muhammad will have enough yarn to make a scarf.
What is the distance in units between the points (1, 0) and (8, 0)?
The points (1, 0) and (8, 0) lie on the same horizontal line, specifically the x-axis. Therefore, the distance between these two points is simply the difference in their x-coordinates.
Distance = |8 - 1| = |7| = 7
So, the distance between the points (1, 0) and (8, 0) is 7 units.
Which of the numbers below are common factors of 64 and
72? Select all that apply.
A) 2
B) 4
C) 6
D) 8
E) 12
To find the common factors of 64 and 72, we can list the factors of each number and identify the ones that appear in both lists.
The factors of 64 are: 1, 2, 4, 8, 16, 32, 64.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Comparing the two lists, we can see that the common factors of 64 and 72 are:
A) 2
B) 4
D) 8
E) 12
Therefore, the common factors of 64 and 72 are 2, 4, 8, and 12.
A plane takes off at 27° latitude. It flies directly south and lands at -38° latitude. Which expression represents the difference in latitude?
To find the difference in latitude, we can subtract the initial latitude from the final latitude.
The expression that represents the difference in latitude is:
-38° - 27°
Simplifying this expression, we get:
-38 - 27 = -65
Therefore, the expression that represents the difference in latitude is -65.
What is the distance between (4.5, 2.8) and (4.5, -6.7)?
The distance between two points can be calculated using the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between (4.5, 2.8) and (4.5, -6.7):
Distance = sqrt((4.5 - 4.5)^2 + (-6.7 - 2.8)^2)
Distance = sqrt(0 + (-9.5)^2)
Distance = sqrt(0 + 90.25)
Distance = sqrt(90.25)
Distance ≈ 9.50
Therefore, the distance between (4.5, 2.8) and (4.5, -6.7) is approximately 9.50 units.
Every person who comes to a party wears a shirt with six buttons. Which equation models the relationship between people at the party, X, and the number of buttons, Z?
The equation that models the relationship between the number of people at the party, X, and the number of buttons, Z, would be:
Z = 6X
This equation represents that for each person (X) at the party, there are six buttons (Z) on their shirt.
John can clean pools at a constant rate of pools per hour. How many pools can John clean in 10 hours?
To determine how many pools John can clean in 10 hours, we need to know the rate at which he cleans the pools. Without that information, it is not possible to provide an accurate calculation.
If you provide the rate at which John cleans the pools, I would be able to help you calculate the number of pools he can clean in 10 hours.