With scatter plots.
Cube Roots of Negative Numbers.
Thank you!♡
Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.
To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.
The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.
For n = 3, the cube root of -1 becomes:
(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).
Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).
In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).
George solved the equation -103 = -2(-7x + 7) + 8x as follows:
-103 = -2(-7x + 7) + 8x
Step 1: -103 = 14x + 7 + 8x
Step 2: -103 = 22x + 7
Step 3: -110 = 22x
Step 4: -5 = x
At which step did he make an error?
Explain the error:
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
What is the surface area of this right triangular prism? PLEASEEE HELPPPP It's 3D geometry
Answer:
1200 square inches
Step-by-step explanation:
Surface area of right triangular prism:
[tex]\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}[/tex]
b = base of the triangle = 30 in
h = altitude of the triangle = 8 in
[tex]\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in[/tex]
l = length of the rectangle = 15 in
Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15
= 30*8 + 64 *15
= 240 + 960
= 1200 square inches
Answer: it is going to be 24
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer: 3,380
Step-by-step explanation: THIS IS MY GUESS.
Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. (72÷8)−2×3+1 72÷(8−2)×3+1 72÷(8−2)×(3+1) 72÷8−2×(3+1) (pls show me a pitcher or something that is right!)
Least
72 ÷ 8 - 2 × (3 + 1) = 1
(72 ÷ 8) - 2 x 3 + 1 = 4
72 ÷ (8 - 2) × 3 + 1 = 37
72 ÷ (8-2) × (3 + 1) = 48
Greatest
To solve all of these, just follow the PEMDAS format (Parenthesis, Exponent, Multiply, Divide, Add, and Subtract)
Or just punch it in a calculator :)
Answer:
72 ÷ 8 - 2 × (3 + 1) = 1
(72 ÷ 8) - 2 x 3 + 1 = 4
72 ÷ (8 - 2) × 3 + 1 = 37
72 ÷ (8-2) × (3 + 1) = 48
Step-by-step explanation:
PLEASE HELP ME FAST!!
The bottom of a bucket has a circumference of 63 in. What is the area of the bottom of the bucket ?
Show your work.
Don't forget to include the units.
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
a
All teachers in the school
b
All boys in each grade
c
All students in the speech club
d
All students in each grade
Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)
a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
b
Yes, it is a valid inference because he asked all 26 students in his science class
c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
A researcher posts a magazine advertisement offering $30 in exchange for participation in a short study. The researcher accepts the first three people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
a
It is not a valid sample because it is not a random sample of the population.
b
It is a valid sample because the first three people were selected to participate.
c
It is a valid sample because money was offered to participants.
d
It is not a valid sample because it is only a short study.
Answer:
Q1: D
Q2: D
Q3: B
Step-by-step explanation:
Q1: It says it in the question.
Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.
Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.
Solve Using the Quadratic Formula
5x²-20x+20=0
I'M SORRY WHAT IS THY ANSEWR?
Identify all of the quadratic functions
Answer:
y=(x-2)^2 +4
y=1/4 x^2 +x-1
Write an equation to match each graph.....
YALL! WHAT IS THE ANSWER?! HELP ASAP!
q:
choose the different ways that a graph can be misleading (select all that apply)
a:
1- the y-axis starts at zero and uses consistent intervals
2- different bar heights are used on the same graph
3- the y-axis doesn't start at zero
4- the intervals on the y-axis are too large
5- different bar widths are used on the same graph
6- the y-axis starts at zero but has different intervals
Answer:
Step-by-step explanation:
The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.
To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 8, and the minimum value is 1.
[tex]\text{Range} = 8 - 1 = 7[/tex]
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
[tex]\text{Range} = \text{maximum value} - \text{minimum value}[/tex]
The maximum value is 10, and the minimum value is 1.
[tex]\text{Range} = 10 - 1 = 9[/tex]
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 4 - 2 = 2[/tex]
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
[tex]\text{IQR} = Q3 - Q1[/tex]
[tex]\text{IQR} = 5 - 1.5 = 3.5[/tex]
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]
Answer:To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️ To find the best measure of variability for the data and determine which player was more consistent, we can calculate the range and the interquartile range (IQR) for both players.
The range is calculated by subtracting the minimum value from the maximum value in a dataset. The IQR is a measure of dispersion that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset.
Let's calculate the range and IQR for both players:
For Player A:
The data for Player A is: 2, 1, 3, 8, 2, 3, 4, 4, 1.
To calculate the range:
The maximum value is 8, and the minimum value is 1.
For Player B:
The data for Player B is: 1, 4, 5, 1, 2, 4, 5, 5, 10.
To calculate the range:
The maximum value is 10, and the minimum value is 1.
To calculate the IQR, we need to find the first quartile (Q1) and the third quartile (Q3) for each player:
For Player A:
Arranging the data in ascending order: 1, 1, 2, 2, 3, 3, 4, 4, 8.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 2, 3.
Q1 = 2
To calculate Q3, we find the median of the upper half of the data: 3, 4, 4, 8.
Q3 = 4
The IQR is calculated as:
For Player B:
Arranging the data in ascending order: 1, 1, 2, 4, 5, 5, 5, 10.
To calculate Q1, we find the median of the lower half of the data: 1, 1, 2, 4.
Q1 = 1.5
To calculate Q3, we find the median of the upper half of the data: 5, 5, 5, 10.
Q3 = 5
The IQR is calculated as:
Based on the calculations, we can conclude:
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.
Player B is the most consistent, with an IQR of 3.5.
Therefore, the correct answer is:
Player A is the most consistent, with an IQR of 2.
♥️
Step-by-step explanation:
Give the measure of the angle that is complementary to the given angle. (Example 1)
Answer:
45
70
36
52
20
130
Step-by-step explanation:
complementary means it adds up to 90 degrees.
subtract that angle from 90 to get the complementary angle
supplementary angles add up to 180 degrees
subtract that angle from 180 to get the supplementary angle
Answer:
1) 45
2) 60
3) 36
4) 52
5) 20
6) 130
Step-by-step explanation:
In the first 3 questions, it's asking us for a complementary angle to the given angle. A complementary angle is when 2 angles add up to 90 degrees. So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45. Continue to subtract from 90 for the next 2 problems.
In questions 4-6, we are asked to find an angle that is supplementary. A supplementary angle is when 2 angles add up to 180 degrees. We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees. Continue subtracting from 180 for the next 2 problems.
Hope this helps! :)
Compare the two groups of data. Which statement is true?
A. On average basketball players are 4 inches taller than baseball players
B. On average basketball players are 9 inches taller than baseball players
C. On average basketball players are 2 inches taller than baseball players
D. On average basketball players are 3 inches taller than baseball players
Answer: A
Step-by-step explanation:
If you graph the difference, it is 4 inches since you are looking at the middle of the graph
HELP ANSWER HOWLE PAGE PLS
Step-by-step explanation:
an acute angle is less then 90 degrees, a right angle is 90 degrees, an obtuse angle is more than 90 degrees, a straight angle is 180 degrees, and a reflex angle is more than 180 degrees but less then 360 degrees
For which data set is mean the best measure of central tendency?
A: 94, 98, 96, 100, 97
B: 54, 60, 58, 3, 64
C :26, 29, 71, 28, 71
D: 5, 5, 5, 301, 5
Answer:
The correct answer would be choice A: 94, 98 , 96, 100, 97
The mean is the best measure of central tendency when the values are close together and there are no outliers. Choice A is the only set with no outliers. The rest of the sets have an outlier which will skew the mean.
Step-by-step explanation:
it might be wrong but i am pretty sure
hope it helped;)
Help Please, I don't understand this
Firstly, you have to understand that if you talk about slope is a similar word gradient of the graph. So if you are calculating slope you have to use gradient formula:
m= Y2-Y1
X2-X1
therefore, in order for you getting first box & second box you have to use this formula above.
First box answer is:
Points fromthegraph (-2:-2) & (-3:-3)
m= Y2-Y1
X2-X1
m = -3-(-2)
-3-(-2)
m = 1
Second box answer is:
Points fromthegraph (3:3) & (4:4)
m= Y2-Y1
X2-X1
m= 4-3
4-3
m= 1
Third box answer is:
= 4
Forth box answer is:
= -3
PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm
Answer:
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 6.3 m x 27.3 m
Area = 171.99 m²
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 420.92 mm² / 27.4 mm
Height ≈ 15.35 mm
The perimeter of a rectangle is given by 2 times the sum of the base and height:
Perimeter = 2(base + height)
133.2 mm = 2(30.6 mm + height)
133.2 mm = 61.2 mm + 2 height
2 height = 133.2 mm - 61.2 mm
2 height = 72 mm
Height = 72 mm / 2
Height = 36 mm
To find the height of a parallelogram, divide the area by the base:
Height = Area / Base
Height = 645 m² / 61 m
Height ≈ 10.57 m
The perimeter of a parallelogram is the sum of all its sides:
Perimeter = 2(base + side length)
Perimeter = 2(32 cm + 34 cm) + 2(height)
Perimeter = 2(66 cm) + 2(19 cm)
Perimeter = 132 cm + 38 cm
Perimeter = 170 cm
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 40 mm x 18 mm
Area = 720 mm²
The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)
Perimeter = 2(7.9 m + 8.8 m)
Perimeter = 2(16.7 m)
Perimeter = 33.4 m
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 354 cm² / 23 cm
Height ≈ 15.39 cm
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 44 mm / 4
Side length = 11 mm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 11 mm x 11 mm
Area = 121 mm²
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 55 cm / 4
Side length = 13.75 cm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 13.75 cm x 13.75 cm
Area ≈ 189.06 cm²
Could someone explain this?
Answer:
You must find the maximum i.e. the highest score and the minimum i.e. the least score.
In the given question, the lowest score is 4.
the highest score is 50.
And there ya go!
Solve using square root (2x +1)^2 = 25
x = 2, -3 is your answer
The answer is x = 2, -3
I NEED HELP FAST
The wheels on Noah's bike have a circumference of about 6 feet.
How far does the bike travel as the wheel makes 12 complete rotations?
Show your work
Answer:
72 feet
Step-by-step explanation:
Because the circumference is 6 feet, with every complete rotation, the bike travels 6 feet. Therefore, the bike will travel 72 feet when the wheel makes 12 complete rotations.
Feel free to tell me if I did anything wrong! :)
At the sewing store, Samantha bought a bag of mixed buttons. She got 400 buttons in all. 400 of the buttons were large. What percentage of the buttons were large?
Answer:100% of the buttons were large.
she got 400 buttons
400 were large
400/400 as a percent is 100%
Step-by-step explanation:
Explanation she got 400 buttons
400 were large
400/400 as a percent is 100%
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time: Distance:
2 6
6 18
8 24
15 45
the distance (output) is 3 times larger than the time (input) so you have to multiply and divide to find the missing numbers.
Answer:
2 6
6 18
8 24
15 45
Step-by-step explanation:
6 = 18
X = 6
cross multiply
6 × 6 ÷ 18
=2
2 = 6
X = 24
Cross multiply
2 × 24 ÷ 6
= 8
2 = 6
15 = x
Cross multiply
6 × 15 ÷ 2
=45
Which of the following is a statistical question that can result in numerical data?
How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?
Answer: First, Second and Third.
Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.
The students can do 10 miles each week.
Your grandparents could have 20 pets.
The data can be plotted into a graph and this would count as statistical/numerical data.
Please help i will give points
Hello !
odd = 5, 7, 9
There are 3 numbers out of a total of 5:
3/5 = 0,6 = 60%
Answer is 60%.
How many times does 15 go int 135? who ever gets it right gets 500 points
Answer:
9 times
Step-by-step explanation:
The number 15 multiplied to the number 9 which gives the value 135.
To find the that how many 15 is to get 135, division should be performed.
So, dividing 135 by 15 gives:
= 135 ÷ 15
15 | 135 | 9
135
_______
0
Thus, the quotient is 9.
Therefore, 15 goes into 135 exactly 9 times.
Learn more about Division here:
https://brainly.com/question/2273245
#SPJ6
The table shows the dollar amounts of donations given by 20 people to a local community center. Which histogram matches this data?
Answer: A
Step-by-step explanation:
Given by the table shown, we can see that the numbers are already put in least to greatest.
We count how many ranges there are:
(0 to 20)
(20 to 40)
(40 to 60)
(60 to 80)
(80 to 100)
There are 2 numbers that are between he range (0-20)
This doesn’t help us figure out wether it’s A or B. So we move on to the second range, 20 to 40.
Here we see that there are 6 numbers between 20 to 40. That’s only one answer, A
What could thy answer be?
Answer: 36
Step-by-step explanation:
There are a total of 36 numbers, you can find that out by multiplying 6 x 6.
There is only 1 number pair can has a sum of 2 which is 1,1
