Answer:
To find the mean of Jimmy's data set, we need to add up all of the numbers in the set and divide the sum by the total number of numbers in the set. In this case, the numbers are 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, and 8, for a total of 133. There are 12 numbers in the set, so the mean is equal to 133 / 12 = 11.08333. This is the mean of Jimmy's data set.
To find the median of Jimmy's data set, we need to arrange the numbers in ascending order and then find the middle number. In this case, the numbers are 8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, and 14, so the middle number is 11. This is the median of the set.
To find the mode of Jimmy's data set, we need to find the number that occurs most frequently in the set. In this case, the number 11 occurs three times in the set, which is more than any other number. Therefore, the mode of the set is 11. This is the mode of Jimmy's data set.
If there are 5 more days per month that had a temperature above 40 degrees C, then the numbers in Jimmy's data set will be 19, 19, 15, 17, 16, 18, 16, 16, 19, 15, 18, and 13. To find the mean for this new data set, we need to add up all of the numbers and divide the sum by the total number of numbers in the set. This gives us a mean of 19.08333. This is the new mean for the data set if there are 5 more days per month that had a temperature above 40 degrees C.
If there are 2 more days per month that had a temperature above 40 degrees C, then the numbers in Jimmy's data set will be 16, 16, 12, 14, 13, 15, 13, 13, 16, 12, 15, and 10. To find the mode of this new data set, we need to find the number that occurs most frequently. In this case, the number 13 occurs three times, which is the most of any number. Therefore, the mode of the new data set is 13. This is the mode for the data if there are 2 more days per month that had a temperature above 40 degrees C.
If the number of days per month that had a temperature above 40 degrees C doubles each month in that year, then the numbers in Jimmy's data set will be 28, 28, 20, 24, 22, 26, 22, 22, 28, 20, 26, and 16. To find the median of this new data set, we need to arrange the numbers in ascending order and find the middle number. In this case, the numbers are 16, 20, 20, 22, 22, 22, 24, 26, 26, 28, 28, and 28, so the middle number is 22. This is the median of the new data set if the number of days per month that had a temperature above 40 degrees C doubles each month in that year.
To find the value of x that will give 9, 16, and x the same mean (average) as 26 and 12, we need to set up an equation. Let's call the mean of the numbers 9, 16, and x M. We know that the mean of 26 and 12 is 19, so we can write the equation:
(9 + 16 + x) / 3 = 19
We can simplify this equation by multiplying both sides by 3 to get:
9 + 16 + x = 57
We can then subtract 16 and 9 from both sides to get:
x = 32
Therefore, the value of x that will give 9, 16, and x the same mean (average) as 26 and 12 is 32. This means that if x is 32, the mean of 9, 16, and 32 will be 19, which is the same as the mean of 26 and 12.
To find the value of x that will give 55 and x the same mean (average) as 67, we need to set up an equation. Let's call the mean of the numbers 55 and x M. We know that the mean of 67 is 67, so we can write the equation:
(55 + x) / 2 = 67
We can simplify this equation by multiplying both sides by 2 to get:
55 + x = 134
We can then subtract 55 from both sides to get:
x = 79
Therefore, the value of x that will give 55 and x the same mean (average) as 67 is 79. This means that if x is 79, the mean of 55 and 79 will be 67, which is the same as the mean of 67.
We are given that the mean (average) weight of three boys is 40 pounds and that one of the boys weighs 50 pounds. We are also told that the other two boys have the same weight. To find the weight of each of these boys, we need to set up an equation. Let's call the weight of the two boys with the same weight x. We know that the mean (average) of 50, x, and x is 40 pounds, so we can write the equation:
(50 + x + x) / 3 = 40
We can simplify this equation by multiplying both sides by 3 to get:
50 + x + x = 120
We can then subtract 50 from both sides to get:
x + x = 70
We can then divide both sides by 2 to get:
x = 35
Therefore, the weight of each of the two boys with the same weight is 35 pounds. This means that the weights of all three boys are 50 pounds, 35 pounds, and 35 pounds.
A cat consumes 2 cups of milk every day, which means that it drinks 2 * 7 = 14 cups of milk in a week. This is the amount of milk that the cat drinks on average in a week.
The mode of a set of numbers is the number that occurs most frequently in the set. In this case, there is only one number in the set, which is 14 cups of milk. Since there is only one number, the mode of the set is 14 cups of milk. This is the mode for the data in this question.
Please help asap! Also explain how you did it... Tys m!♡♡
Answer:
A" (-3, 0)
B" (9, 9)
C" (9, 0)
Step-by-step explanation:
The hint explains how to get the final coordinates.
The original figure ABC has vertices
A (-3, -1)
B (1, 2)
C (1, -1)
There are two separate transformations for this triangle, so let's take it one step at a time
The first transformation is a translation by the vector <2, 1>, This means we get a new figure A'B'C' where we add 2 to each of the x coordinates of the original figure and 1 to the y coordinates of the original figure
For A which is (-3,-1) the transformed coordinate becomes:
A -> A' -> A' (-3 + 2, -1 + 1) => A'(-1, 0)
Similarly
B(1, 2) -> B' is B'(1 + 2, 2 + 1) => B'(3, 3)
C(1, -1) -> C'(1 + 2, -1 + 1) or C'(3, 0)
So the first transformation results in a triangle A'B'C' with the following coordinates:
A'(-1, 0)
B'(3, 3)
C'(3, 0)
The second transformation is a dilation of A'B'C' which results in an expansion or compression of the image depending on the scale factor. Here the scale factor is 3 so the image is expanded by a factor of 3
Dilation simply requires you to multiply both x and y coordinates oof A'B'C' by 3
A' (-2 , 0) -> A"(-1 x 3, 0 x 3) => A"(-3, 0)
B'(3, 3) -> B"(9, 9)
C'(3, 0) -> C"(9, 0)
I have attached two images showing each of the transformations separately to give you a better idea
Jackson bought a pair of sunglasses online for $29. He used a coupon code to get a 40% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answer:
$18.27 is the answer
40% off $29 is $17.40 and after adding the 5% fee it adds 87 cents
Step-by-step explanation:
