Ethan writes the ratio x/8=y/16 help him reduce the size of a two-dimensional shape. The value of y is 3 units what will be the value of x?
To reduce the size of a shape, we need to multiply both dimensions by the same factor. To find that factor, we can use the ratio x/8 = y/16 and solve for y:
x/8 = y/16
y = 16x/8
y = 2x
Now we know that y is 3 units, so we can substitute and solve for x:
2x = 3
x = 3/2
Therefore, the value of x is 1.5 units.
72, 80, 74, 68, 65, 66, 72, 74, 65, 80, 74
Michale got these scores the last time he played golf. According to the data shown, what is the mode of his scores?
A 73
B 80
C 66
D 74
E 72
F 71
The mode is the value that appears most frequently in the list. In this case, the value 74 appears three times, which is more than any other value. So the mode of Michael's scores is D) 74.
THX answer 74
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Find the mean of these numbers.
12, 9, 11, 8, 9, 12, 9
To find the mean, also known as the average, you need to add up all the numbers and then divide by the total number of numbers.
12 + 9 + 11 + 8 + 9 + 12 + 9 = 70
There are 7 numbers in the list, so we divide the sum by 7:
70/7 = 10
Therefore, the mean of the numbers is 10.
Consider the dot plot which shows the distribution of data collected on the amount of time Jane spent drying her hair each morning. Which statement BEST describes the center of the data?
Responses
A mean is less than half the rangemean is less than half the range
B median is less than half the rangemedian is less than half the range
C median is less than the meanmedian is less than the mean
D median is greater than the meanmedian is greater than the mean
E mean is greater than the median
We cannot see the dot plot given in the question, but in general:
If the median is less than the mean, it means that there are some very high values that are pulling the mean up.
If the median is greater than the mean, it means that there are some very low values that are pulling the mean down.
Therefore, the best answer is:
E) mean is greater than the median
This means that there are some values that are higher than the median, and these values are averaging out to give a higher mean value.