Mrs. Patel has two plants. The first plant has a height of 0.6 meter. The height of the second plant is 0.25 meter shorter.
The height of the second plant is 0.6 - 0.25 = <<0.6-0.25=0.35>>0.35 meter. Answer: \boxed{0.35}.
To find the height of the second plant, we start with the height of the first plant, which is given as 0.6 meters. We know that the second plant is 0.25 meter shorter than the first plant.
To find the height of the second plant, we need to subtract 0.25 meters from the height of the first plant. So, we subtract 0.25 from 0.6:
0.6 - 0.25 = 0.35
Therefore, the height of the second plant is 0.35 meters.
To find the height of the second plant, you need to subtract 0.25 meters from the height of the first plant.
Height of the first plant: 0.6 meters
Height of the second plant: 0.6 - 0.25 = 0.35 meters
Therefore, the height of the second plant is 0.35 meters.
Multiple Choice Question Sara has a gift card for Six Town Bakery and bought the following items. 6 muffins for $0.45 each 2 boxes of cookies for $2.70 each 1 coffee cake for $3.72 Sara estimates she has $8.00 left on her gift card. What assumption did Sara use to make her estimate? ghghgh
Sara assumed that the cost of the items she bought was equal to the amount she spent. However, to make the estimate of $8.00 left on her gift card, she should also consider any taxes or additional charges that may be applied to the total cost of the items.
Sara has a gift card for Six Town's Bakery and bought the following items.
6 muffins for $0.45 each
2 boxes of cookies for $2.70 each
1 coffee cake for $3.72
Sara estimates she has $8.00 left on her gift card. What assumption did Sara use to make her estimate?
A.
The gift card started with $7.00.
B.
The gift card started with $12.00.
C.
The gift card started with $15.00.
To answer this question, we need to calculate the total cost of the items Sara bought and subtract it from the original balance on her gift card.
The total cost of the muffins is 6 * $0.45 = $2.70.
The total cost of the boxes of cookies is 2 * $2.70 = $5.40.
The total cost of the coffee cake is $3.72.
So, the total cost of all the items is $2.70 + $5.40 + $3.72 = $11.82.
If Sara estimates that she has $8.00 left on her gift card, it means she assumed the original balance on the gift card was $11.82 + $8.00 = $19.82.
Therefore, the correct answer is:
D. The gift card started with $19.82.
Which expression is NOT equivalent to 9x+4y+13-3x-y-10?
A 3(2x+y+1)
B. 6x+3(1+y)
C (9-3)x+(4-0)y+3
D. (13-10)+(9x-3x)+(4y-y)
To determine which expression is NOT equivalent to 9x + 4y + 13 - 3x - y - 10, we can simplify each expression and compare them to the given expression.
Simplifying the given expression:
9x + 4y + 13 - 3x - y - 10
(9x - 3x) + (4y - y) + (13 - 10)
6x + 3y + 3
Now let's simplify the given options and see if they are equivalent:
A) 3(2x + y + 1)
6x + 3y + 3
This expression is equivalent to the given expression.
B) 6x + 3(1 + y)
6x + 3 + 3y
This expression is equivalent to the given expression.
C) (9 - 3)x + (4 - 0)y + 3
6x + 4y + 3
This expression is equivalent to the given expression.
D) (13 - 10) + (9x - 3x) + (4y - y)
3 + 6x + 3y
This expression is NOT equivalent to the given expression.
Therefore, the correct answer is:
D. (13 - 10) + (9x - 3x) + (4y - y)
4(3e-8j)= blank minus blank?
To determine the value of 4(3e-8j) minus blank, we need to simplify the expression:
4(3e-8j) - blank
Using the distributive property, we can simplify this expression as follows:
12e-8j - blank
Note that we cannot simplify this further unless we have more information about the value of "blank."
4(3e-8j)= what expression
The expression 4(3e-8j) simplifies to 12e-8j.
Mr. Hon purchases a new car every 4 years. Ms. Jasper purchases a new car every 6 years. They both purchased new cars this year. When will they next both purchase new cars in the same year?
To find when Mr. Hon and Ms. Jasper will next purchase new cars in the same year, we need to find the least common multiple (LCM) of 4 and 6.
First, we can find the prime factorization of each number:
4 = 2 * 2
6 = 2 * 3
The LCM is the product of the highest powers of all the prime factors involved. So, in this case, the LCM is 2 * 2 * 3 = 12.
Therefore, Mr. Hon and Ms. Jasper will next purchase new cars in the same year in 12 years.
Byron wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1.
(48 + 36)
Which is an equivalent expression that has numbers in the parentheses whose only common factor is 1?
A.
4(12 + 9)
B.
2(24 + 18)
C.
12(4 + 3)
D.
36(12 + 1)
To rewrite the addition problem (48 + 36) using the distributive property with numbers in the parentheses whose only common factor is 1, we can look for factors that divide both 48 and 36.
First, let's find the prime factorization of 48 and 36:
48 = 2 x 2 x 2 x 2 x 3 = 2^4 x 3
36 = 2 x 2 x 3 x 3 = 2^2 x 3^2
The common factors between 48 and 36 are 2^2 = 4 and 3. Therefore, we want to rewrite the expression with numbers inside the parentheses that don't have factors of 4 or 3.
Looking at the options:
A. 4(12 + 9) = 4(3 x 4 + 3) = 4(3(4 + 1)) = 4(3 x 5) = 4(15) - This still has a factor of 3.
B. 2(24 + 18) = 2(2 x 2 x 2 x 3 + 2 x 3 x 3) = 2(2 x 3(2^2 + 3)) - This still has a factor of 2.
C. 12(4 + 3) = 12(2^2 + 3) = 12(4 + 3) = 12(7) - This does not have a factor in common with 48 or 36.
Therefore, the correct answer is C:
12(4 + 3)
Multiple Choice Question
The following measurements show the lengths of 5 grasshoppers in inches:
3.7, 2.5, 2.3, 1.2, and 3.4
What will happen if 2 more grasshoppers with measurements of 2.3 and 3.2 inches are added?
A.
the mean will increase
B.
the median will increase
C.
the mean will decrease
D.
the median will decrease
To determine the impact of adding 2 more grasshoppers with measurements of 2.3 and 3.2 inches, we need to consider both the mean and the median.
Mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by summing all the values and dividing by the total number of values.
Median is the middle value of a set of numbers when they are arranged in ascending or descending order.
Given the measurements of the first 5 grasshoppers:
3.7, 2.5, 2.3, 1.2, 3.4
If we add the measurements of the 2 additional grasshoppers:
2.3, 3.2
The new set of measurements will be:
3.7, 2.5, 2.3, 1.2, 3.4, 2.3, 3.2
If we calculate the mean of the new set, we sum all the measurements and divide by the total number of measurements. Adding the two additional grasshoppers will increase the sum of the measurements, resulting in an increased mean.
Therefore, the correct answer is:
A. The mean will increase.
On the other hand, the median is the middle value of a set. The new set of measurements still maintains the same middle value, as the median is not affected by adding additional values at the beginning or end of the ordered set.
Therefore, the correct answer is NOT:
B. The median will increase.
C. The mean will decrease.
D. The median will decrease.
The dot plot below shows the number of hours that several sixth graders spent inside the school building in a day. Each X represents one student.
A dot plot showing hours from 0 to 8 in the increments of 1 has one X at 0, 2 X's at 7 and seven X's at 8.
Which of the following statements is true regarding this data? Select all that apply.
A.
The median better represents these data than the mean.
B.
The mean is affected by the one student who was absent from school.
C.
The distribution is skewed since most students were in the school building for 7 or 8 hours.
From the dot plot, we can see that one student spent 0 hours inside the school building, two students spent 7 hours, and seven students spent 8 hours.
To determine which statements are true regarding this data, let's analyze each statement:
A. The median better represents these data than the mean.
To find the median, we need to arrange the data in ascending order: 0, 7, 7, 8, 8, 8, 8, 8, 8, 8. The middle value is 8, which is the median. Since the majority of the data is concentrated at the high end (7 or 8 hours), the median is a better representation than the mean. Therefore, statement A is true.
B. The mean is affected by the one student who was absent from school.
Since the mean is calculated by summing all the values and dividing by the total number of values, the one student who was absent (0 hours) will have a minimal impact on the mean, especially considering that there is a large number of students who spent 8 hours inside the school building. Therefore, statement B is not true.
C. The distribution is skewed since most students were in the school building for 7 or 8 hours.
To determine if the distribution is skewed, we need to look at the shape of the data. In this case, there is a cluster of students at both 7 and 8 hours, which suggests that the data may be positively skewed. Skewness refers to the asymmetry or lack of symmetry in the distribution. Therefore, statement C is true.
In conclusion, the correct statements are:
A. The median better represents these data than the mean.
C. The distribution is skewed since most students were in the school building for 7 or 8 hours.
Sean counted the number of stuffed animals available for prizes in each of the booths at a county fair. The list shows the results.
2, 23, 27, 29, 30, 32, 32, 34, 35, 96
Select all the data values that are outliers.
A.
2
B.
27
C.
34
D.
96
To determine the outliers in the given data set: 2, 23, 27, 29, 30, 32, 32, 34, 35, 96, we can use the 1.5 * IQR (interquartile range) method.
First, we need to find the IQR, which is the difference between the third quartile (Q3) and the first quartile (Q1).
Step 1: Arrange the data in ascending order
2, 23, 27, 29, 30, 32, 32, 34, 35, 96
Step 2: Calculate the first quartile (Q1) and the third quartile (Q3).
Q1 = 27
Q3 = 34
Step 3: Calculate the IQR = Q3 - Q1
IQR = 34 - 27 = 7
Step 4: Calculate the upper and lower fences:
Upper fence: Q3 + 1.5 * IQR = 34 + 1.5 * 7 = 34 + 10.5 = 44.5
Lower fence: Q1 - 1.5 * IQR = 27 - 1.5 * 7 = 27 - 10.5 = 16.5
Any data value above the upper fence or below the lower fence is considered an outlier.
Checking the values in the given data set:
A. 2 is lower than the lower fence of 16.5. Therefore, 2 is an outlier.
B. 27 is equal to the lower fence of 16.5, so it is not an outlier.
C. 34 is equal to the upper fence of 44.5, so it is not an outlier.
D. 96 is higher than the upper fence of 44.5. Therefore, 96 is an outlier.
Therefore, the outliers in the given data set are:
A. 2
D. 96
Lindsey found the median and mean of the list of numbers below.
4, 6, 8, 8, 15
Which statement is true if Lindsey includes the number 23 in the list?
A.
The median would decrease.
B.
The median would increase.
C.
The mean would increase.
D.
The mean would decrease.
To determine the impact of including the number 23 in the list on both the median and mean, we need to analyze each measure of central tendency.
Given the original list of numbers:
4, 6, 8, 8, 15
Let's first calculate the median and mean without the number 23:
Median: To find the median, we arrange the numbers in ascending order:
4, 6, 8, 8, 15
The middle value is 8, which is the median.
Mean: To find the mean, we sum all the numbers and divide by the total number of values:
(4 + 6 + 8 + 8 + 15) / 5 = 41 / 5 = 8.2
Now, let's include the number 23 in the list:
New list of numbers:
4, 6, 8, 8, 15, 23
Calculating the new median:
Arranging the numbers in ascending order:
4, 6, 8, 8, 15, 23
The middle two values are 8 and 15. To find the median, we take the average of these two values: (8 + 15) / 2 = 23 / 2 = 11.5
Therefore, the median would increase.
Calculating the new mean:
Adding the number 23 to the sum and dividing by the total number of values:
(4 + 6 + 8 + 8 + 15 + 23) / 6 = 64 / 6 = 10.666...
Therefore, the mean would increase.
Based on the analysis, the correct statement is:
B. The median would increase.
C. The mean would increase.
Lindsey found the median and mean of the list of numbers below.
4, 6, 8, 8, 15
Which statement is true if Lindsey includes the number 23 in the list?
A.
The median would decrease.
B.
The median would increase.
C.
The mean would increase.
D.
The mean would decrease.
CHOOSE 1 ANSWER
The correct answer is:
B. The median would increase.
Tia, Bill, Kay, and Marco counted the number of fireflies they saw each day for a week in the summer. They each put their numbers in order from least to greatest.
Tia: 9, 12, 15, 18, 21, 24, 27
Bill: 3, 6, 8, 18, 20, 21, 22
Kay: 14, 15, 16, 18, 24, 27, 32
Marco: 2, 6, 10, 14, 18, 22, 26
Whose data is skewed left?
A.
Tia's data
B.
Bill's data
C.
Kay's data
D.
Marco's data
To determine whose data is skewed to the left, we need to look for any patterns or tendencies in the data sets.
A left-skewed distribution means that the majority of the data is concentrated
Tia, Bill, Kay, and Marco counted the number of fireflies they saw each day for a week in the summer. They each put their numbers in order from least to greatest.
Tia: 9, 12, 15, 18, 21, 24, 27
Bill: 3, 6, 8, 18, 20, 21, 22
Kay: 14, 15, 16, 18, 24, 27, 32
Marco: 2, 6, 10, 14, 18, 22, 26
Whose data is skewed left?
A.
Tia's data
B.
Bill's data
C.
Kay's data
D.
Marco's data
whats the answer with explanation
Tia, Bill, Kay, and Marco counted the number of fireflies they saw each day for a week in the summer. They each put their numbers in order from least to greatest.
Tia: 9, 12, 15, 18, 21, 24, 27
Bill: 3, 6, 8, 18, 20, 21, 22
Kay: 14, 15, 16, 18, 24, 27, 32
Marco: 2, 6, 10, 14, 18, 22, 26
Whose data is skewed left?
A.
Tia's data
B.
Bill's data
C.
Kay's data
D.
Marco's data
whats the answer?