To find the approximate length of a reptile that has a mass of 20.5 grams, we can rearrange the given equation, y = 0.3x - 2, to solve for x.
0.3x - 2 = 20.5
Add 2 to both sides of the equation:
0.3x = 22.5
Divide both sides of the equation by 0.3:
x = 75
Therefore, the approximate length of a reptile that has a mass of 20.5 grams is 75 cm.
So the correct answer is:
75 cm
a biologist measured the length and mass of 20 reptiles. the equation y = 0.3x - 2 is the line of best fit for the data, where x is the length, in centimeters, and y is the mass, in grams.
Based on the equation, what is the approximate length of a reptile that has a mass of 20.5 grams?
answers:
62 cm
66 cm
70 cm
75 cm
35 answers
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what is the median of 6, 7, 8, 9, 10, 11
To find the median of a set of numbers, you arrange them in ascending order and then determine the middle value.
For the set of numbers 6, 7, 8, 9, 10, 11, the numbers are already in ascending order.
In this case, there are six numbers, so the median would be the average of the two middle values. The two middle values are 8 and 9.
To find the average, you add the two middle values and divide by 2:
(8 + 9) / 2 = 17 / 2 = 8.5
Therefore, the median of the set 6, 7, 8, 9, 10, 11 is 8.5.
For the set of numbers 6, 7, 8, 9, 10, 11, the numbers are already in ascending order.
In this case, there are six numbers, so the median would be the average of the two middle values. The two middle values are 8 and 9.
To find the average, you add the two middle values and divide by 2:
(8 + 9) / 2 = 17 / 2 = 8.5
Therefore, the median of the set 6, 7, 8, 9, 10, 11 is 8.5.
what is the median of 4, 5, 6, 7, 8, 9,
To find the median of a set of numbers, you arrange them in ascending order and then determine the middle value(s).
For the set of numbers 4, 5, 6, 7, 8, 9, the numbers are already in ascending order.
In this case, there are seven numbers, so the median would be the middle value. Since there is an odd number of values, there is only one middle value, which is 6.
Therefore, the median of the set 4, 5, 6, 7, 8, 9 is 6.
For the set of numbers 4, 5, 6, 7, 8, 9, the numbers are already in ascending order.
In this case, there are seven numbers, so the median would be the middle value. Since there is an odd number of values, there is only one middle value, which is 6.
Therefore, the median of the set 4, 5, 6, 7, 8, 9 is 6.
what is the range of 6, 7, 8, 9, 10, 11
To find the range of a set of numbers, you subtract the smallest value from the largest value.
In the set of numbers 6, 7, 8, 9, 10, 11, the smallest value is 6 and the largest value is 11.
To find the range:
Range = largest value - smallest value
Range = 11 - 6
Range = 5
Therefore, the range of the set 6, 7, 8, 9, 10, 11 is 5.
In the set of numbers 6, 7, 8, 9, 10, 11, the smallest value is 6 and the largest value is 11.
To find the range:
Range = largest value - smallest value
Range = 11 - 6
Range = 5
Therefore, the range of the set 6, 7, 8, 9, 10, 11 is 5.
what is the range of 4, 5, 6, 7, 8, 9
To find the range of a set of numbers, you subtract the smallest value from the largest value.
In the set of numbers 4, 5, 6, 7, 8, 9, the smallest value is 4 and the largest value is 9.
To find the range:
Range = largest value - smallest value
Range = 9 - 4
Range = 5
Therefore, the range of the set 4, 5, 6, 7, 8, 9 is 5.
In the set of numbers 4, 5, 6, 7, 8, 9, the smallest value is 4 and the largest value is 9.
To find the range:
Range = largest value - smallest value
Range = 9 - 4
Range = 5
Therefore, the range of the set 4, 5, 6, 7, 8, 9 is 5.
Which expression is equivalent to 9 - 8x?
answers:
-8x - 9
-8x + 9
8x - 9
8x + 9
answers:
-8x - 9
-8x + 9
8x - 9
8x + 9
The expression that is equivalent to 9 - 8x is 8x - 9.
what is the mean for 65, 80, 93, 92, 92, 95
To find the mean (average) of a set of numbers, you sum up all the numbers and then divide the sum by the total count of numbers.
For the given set of numbers 65, 80, 93, 92, 92, 95, you would calculate the mean as follows:
Sum = 65 + 80 + 93 + 92 + 92 + 95 = 497
Total count of numbers = 6
Mean = Sum / Total count of numbers = 497 / 6 = 82.83 (rounded to two decimal places)
Therefore, the mean of the set 65, 80, 93, 92, 92, 95 is approximately 82.83.
For the given set of numbers 65, 80, 93, 92, 92, 95, you would calculate the mean as follows:
Sum = 65 + 80 + 93 + 92 + 92 + 95 = 497
Total count of numbers = 6
Mean = Sum / Total count of numbers = 497 / 6 = 82.83 (rounded to two decimal places)
Therefore, the mean of the set 65, 80, 93, 92, 92, 95 is approximately 82.83.
what is the mean of 90, 93, 88, 90, 95, 92
To find the mean (average) of a set of numbers, you sum up all the numbers and then divide the sum by the total count of numbers.
For the given set of numbers 90, 93, 88, 90, 95, 92, you would calculate the mean as follows:
Sum = 90 + 93 + 88 + 90 + 95 + 92 = 548
Total count of numbers = 6
Mean = Sum / Total count of numbers = 548 / 6 = 91.33 (rounded to two decimal places)
Therefore, the mean of the set 90, 93, 88, 90, 95, 92 is approximately 91.33.
For the given set of numbers 90, 93, 88, 90, 95, 92, you would calculate the mean as follows:
Sum = 90 + 93 + 88 + 90 + 95 + 92 = 548
Total count of numbers = 6
Mean = Sum / Total count of numbers = 548 / 6 = 91.33 (rounded to two decimal places)
Therefore, the mean of the set 90, 93, 88, 90, 95, 92 is approximately 91.33.
what is the median for 65, 80, 93, 92, 92, 95
To find the median of a set of numbers, you arrange them in ascending or descending order and determine the middle value(s).
For the given set of numbers 65, 80, 93, 92, 92, 95, you would arrange them in ascending order:
65, 80, 92, 92, 93, 95.
Since the set has an even number of values, there are two middle values: 92 and 92.
To find the median, you calculate the average of the two middle values:
(92 + 92) / 2 = 92.
Therefore, the median of the set 65, 80, 93, 92, 92, 95 is 92.
For the given set of numbers 65, 80, 93, 92, 92, 95, you would arrange them in ascending order:
65, 80, 92, 92, 93, 95.
Since the set has an even number of values, there are two middle values: 92 and 92.
To find the median, you calculate the average of the two middle values:
(92 + 92) / 2 = 92.
Therefore, the median of the set 65, 80, 93, 92, 92, 95 is 92.
what is the median for 90, 93, 88, 90, 95, 92
To find the median of a set of numbers, you arrange them in ascending or descending order and determine the middle value(s).
For the given set of numbers 90, 93, 88, 90, 95, 92, you would arrange them in ascending order:
88, 90, 90, 92, 93, 95.
Since the set has an even number of values, there are two middle values: 90 and 92.
To find the median, you calculate the average of the two middle values:
(90 + 92) / 2 = 91.
Therefore, the median of the set 90, 93, 88, 90, 95, 92 is 91.
For the given set of numbers 90, 93, 88, 90, 95, 92, you would arrange them in ascending order:
88, 90, 90, 92, 93, 95.
Since the set has an even number of values, there are two middle values: 90 and 92.
To find the median, you calculate the average of the two middle values:
(90 + 92) / 2 = 91.
Therefore, the median of the set 90, 93, 88, 90, 95, 92 is 91.
What is the length of a car if the length on the scale model car is 17 cm and the scale is 2 cm: 50 cm?
answers:
4.25 cm
425 cm
680 cm
850 cm
1700 cm
answers:
4.25 cm
425 cm
680 cm
850 cm
1700 cm
To determine the length of the car based on the given scale, you can use the proportion equation:
(Model length) / (Scale of the model) = (Actual length) / (Scale of the actual car)
In this case, the model length is 17 cm, the scale of the model is 2 cm: 50 cm, and we are looking for the actual length of the car.
We can set up the proportion:
17 cm / 2 cm = (Actual length) / 50 cm
To solve for the actual length, we can cross-multiply and then divide:
17 cm * 50 cm = 2 cm * (Actual length)
850 cm = 2 cm * (Actual length)
850 cm / 2 cm = Actual length
425 cm = Actual length
Therefore, the length of the actual car is 425 cm.
So the correct answer is:
425 cm
(Model length) / (Scale of the model) = (Actual length) / (Scale of the actual car)
In this case, the model length is 17 cm, the scale of the model is 2 cm: 50 cm, and we are looking for the actual length of the car.
We can set up the proportion:
17 cm / 2 cm = (Actual length) / 50 cm
To solve for the actual length, we can cross-multiply and then divide:
17 cm * 50 cm = 2 cm * (Actual length)
850 cm = 2 cm * (Actual length)
850 cm / 2 cm = Actual length
425 cm = Actual length
Therefore, the length of the actual car is 425 cm.
So the correct answer is:
425 cm
what is the mean of 6,000, 12,000, 20,000, 8,000, 9,000
To find the mean (average) of a set of numbers, you sum up all the numbers and then divide the sum by the total count of numbers.
For the given set of numbers 6,000, 12,000, 20,000, 8,000, 9,000, you would calculate the mean as follows:
Sum = 6,000 + 12,000 + 20,000 + 8,000 + 9,000 = 55,000
Total count of numbers = 5
Mean = Sum / Total count of numbers = 55,000 / 5 = 11,000
Therefore, the mean of the set 6,000, 12,000, 20,000, 8,000, 9,000 is 11,000.
For the given set of numbers 6,000, 12,000, 20,000, 8,000, 9,000, you would calculate the mean as follows:
Sum = 6,000 + 12,000 + 20,000 + 8,000 + 9,000 = 55,000
Total count of numbers = 5
Mean = Sum / Total count of numbers = 55,000 / 5 = 11,000
Therefore, the mean of the set 6,000, 12,000, 20,000, 8,000, 9,000 is 11,000.
what is the range of 78, 89, 93, 73, 99, 87, 92, 89
To find the range of a set of numbers, you subtract the smallest value from the largest value.
For the given set of numbers 78, 89, 93, 73, 99, 87, 92, 89, you would first arrange the numbers in ascending order:
73, 78, 87, 89, 89, 92, 93, 99.
The smallest value is 73 and the largest value is 99.
To find the range:
Range = Largest value - Smallest value
Range = 99 - 73
Range = 26.
Therefore, the range of the set 78, 89, 93, 73, 99, 87, 92, 89 is 26.
For the given set of numbers 78, 89, 93, 73, 99, 87, 92, 89, you would first arrange the numbers in ascending order:
73, 78, 87, 89, 89, 92, 93, 99.
The smallest value is 73 and the largest value is 99.
To find the range:
Range = Largest value - Smallest value
Range = 99 - 73
Range = 26.
Therefore, the range of the set 78, 89, 93, 73, 99, 87, 92, 89 is 26.
a store sells poster. Each poster costs the same amount. During a sale, the store reduces the price of each poster by $1.25. Caleb spends $17.76 on 4 posters at the sale price.
What was the price of 1 poster before the sale?
What was the price of 1 poster before the sale?
To find the price of one poster before the sale, we can reverse the process.
Since Caleb spent $17.76 on 4 posters at the sale price, we can divide the total amount spent by the number of posters to find the sale price of each poster.
Sale price of each poster = Total amount spent / Number of posters
Sale price of each poster = $17.76 / 4 = $4.44
Now, to find the price of one poster before the sale, we add the amount by which the price was reduced during the sale:
Price of one poster before the sale = Sale price of each poster + Amount reduced during the sale
Price of one poster before the sale = $4.44 + $1.25 = $5.69
Therefore, the price of one poster before the sale was $5.69.
Since Caleb spent $17.76 on 4 posters at the sale price, we can divide the total amount spent by the number of posters to find the sale price of each poster.
Sale price of each poster = Total amount spent / Number of posters
Sale price of each poster = $17.76 / 4 = $4.44
Now, to find the price of one poster before the sale, we add the amount by which the price was reduced during the sale:
Price of one poster before the sale = Sale price of each poster + Amount reduced during the sale
Price of one poster before the sale = $4.44 + $1.25 = $5.69
Therefore, the price of one poster before the sale was $5.69.
what is the median of 1, 9, 4, 6, 8, 8
To find the median of a set of numbers, you arrange them in ascending or descending order and determine the middle value(s).
For the given set of numbers 1, 9, 4, 6, 8, 8, you would arrange them in ascending order:
1, 4, 6, 8, 8, 9.
Since the set has an even number of values, there are two middle values: 6 and 8.
To find the median, you calculate the average of the two middle values:
(6 + 8) / 2 = 7.
Therefore, the median of the set 1, 9, 4, 6, 8, 8 is 7.
For the given set of numbers 1, 9, 4, 6, 8, 8, you would arrange them in ascending order:
1, 4, 6, 8, 8, 9.
Since the set has an even number of values, there are two middle values: 6 and 8.
To find the median, you calculate the average of the two middle values:
(6 + 8) / 2 = 7.
Therefore, the median of the set 1, 9, 4, 6, 8, 8 is 7.
Jessica has four small boxes that are the same size and one large box. Each of the four small boxes is 4 centimeters wide and 2 centimeters long. The large box has a volume of 96 cubic centimeters. Jessica puts the four small boxes into the large box. There is no space leftover.
What is the height of one small box?
What is the height of one small box?
To find the height of one small box, we can calculate the volume of the large box, divide it by the number of small boxes, and then divide it by the base area of one small box.
The volume of the large box is given as 96 cubic centimeters.
Since we have four small boxes, we divide the volume of the large box by 4:
96 cubic cm / 4 = 24 cubic cm
Next, we divide this result by the base area of one small box. The base area of one small box is found by multiplying the width and length:
Base area of one small box = 4 cm * 2 cm = 8 square cm
So, to find the height of one small box, we divide the volume by the base area:
24 cubic cm / 8 square cm = 3 cm
Therefore, the height of one small box is 3 centimeters.
The volume of the large box is given as 96 cubic centimeters.
Since we have four small boxes, we divide the volume of the large box by 4:
96 cubic cm / 4 = 24 cubic cm
Next, we divide this result by the base area of one small box. The base area of one small box is found by multiplying the width and length:
Base area of one small box = 4 cm * 2 cm = 8 square cm
So, to find the height of one small box, we divide the volume by the base area:
24 cubic cm / 8 square cm = 3 cm
Therefore, the height of one small box is 3 centimeters.