Answer:
Step-by-step explanation:
If the problem is (-7)^2 then you multiply -7 *-7
If the problem is -(7) ^2 then you multiply -1*7*7
Answer: FALL OUT OF THE TREE
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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hi, please help me
what are the perimeter and area of the shape and how do you solve it
thank you
Answer:
Perimeter: 22cm Area: 24cm^2
Step-by-step explanation:
To find perimeter we add all the sides together. There are two missing sides in this picture.
The bottom one is found by adding the two top lines 4 + 2 = 6
The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.
Now we have all the lines, add them together we get 22cm!
Now, there are two ways to find the area. Of course I’m going to show the one I prefer.
Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2
And now what’s the area of the missing chunk?
Our given line multiplied by the one we calculated for: 6cm^2
Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2
GUYS PLS I NEED IT IT DUE IN 30 MIN
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
The travel times for Bus 14 are more tightly clustered around the median compared to Bus 47.
Describe Range?In mathematics and statistics, range is a measure of the spread or dispersion of a set of data, and it represents the difference between the largest and smallest values in a dataset.
To calculate the range of a dataset, you simply subtract the minimum value from the maximum value. For example, if you have a dataset of test scores: 65, 72, 80, 85, 92, 98. The highest score is 98, and the lowest score is 65. Therefore, the range of the test scores is 98 - 65 = 33.
While range is a simple and easy-to-calculate measure of dispersion, it can be sensitive to outliers or extreme values in the dataset, which may not be representative of the overall data. Other measures of dispersion, such as variance or standard deviation, may be more appropriate in some cases.
To determine which bus is the most consistent, we need to use a measure of variability. The most appropriate measure of variability to use in this case is the interquartile range (IQR), which is the difference between the first and third quartiles.
For Bus 47, the first quartile is 10, and the third quartile is 18. So the IQR is 18 - 10 = 8.
For Bus 14, the first quartile is 12, and the third quartile is 18. So the IQR is 18 - 12 = 6.
Since the IQR for Bus 47 is larger than the IQR for Bus 14, we can conclude that Bus 14 is more consistent in terms of travel times to school. This means that the travel times for Bus 14 are more tightly clustered around the median compared to Bus 47.
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Write a rule for the translation.
A. ( x - 1, y + 2 )
B. ( x + 2, y - 1 )
C. ( x - 2, y + 1 )
D. ( x + 1, y - 2 )
Answer:
Option B. ( x + 2, y - 1 ) is the correct answer.
Step-by-step explanation:
First of all, we have to write the coordinates of vertices of both triangles and then compare the respective vertices to find the rule,
So the vertices are:
A(-4,2) , B(-3,4) and C(-1,1)
A'(-2,1), B'(-1,3) and C'(1,0)
By comparing respective vertices we can observe that
A(-4,2) => (x+2,y-1) => A'(-2,1)
B(-3,4) => (x+2,y-1) => B'(-1,3)
C(-1,1) => (x+2,y-1) => C'(1,0)
Hence,
Option B. ( x + 2, y - 1 ) is the correct answer.
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
\(x=14\)
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if \((x-4)\) and \((y+3)\) vary inversely, their product will be the same for all values of \(x-4\) and \(y+3\).
Let \(x=8\) and \(y=2\) as given in the problem. Substitute values:
\((8-4)(2+3)=(4)(5)=20\)
Hence, the maintained product is \(20\).
Thus, we have the following equation:
\((x-4)(y+3)=20\)
Substitute \(y=-1\) to find the value of \(x\) when \(y=-1\):
\((x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}\)
what is 2 ÷ 3 = as a fraction???
Answer:
\(2 \div 3 \\ \frac{2}{3} \)
Find the measures of two supplementary angles if the difference between the measures of the two angle is 62 degrees
Answer:
121° and 59°
Step-by-step explanation:
We'll assign the two angles 'a' and 'b'. Since they are supplementary, this means they add to 180°. We can model this peoblem with the expressions:
a + b = 180° and a - b = 62°
Let's use the second equation to find a substitution for a:
a - b = 62°
a = 62° + b
Now substitute this in the first equation and solve:
(62° + b) + b = 180°
62° + 2b = 180°
2b = 118°
b = 59°
59° + 62° = 121° this is angle a
Casey buys a bracelet. She pays for the bracelet and pays $0. 72 $0. 72dollar sign, 0, point, 72 in sales tax. The sales tax rate is 6% percent. What is the original price of the bracelet, before tax?
Answer:
$12
Step-by-step explanation:
You want to know the amount that has a tax of $0.72 when the tax rate is 6%.
TaxThe tax is computed by multiplying the price by the tax rate.
tax = price × (tax rate)
$0.72 = price × 0.06
price = $0.72/0.06 = $(72/6) = $12
The original price of the bracelet is $12.
HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning
Answer: Be careful !
Billy is with a park ranger. Should be correct BUT
It is not given that Billy is visiting the cliff dwelling.
Billy may be the Park Ranger.
So Billy may be with a park ranger.
Step-by-step explanation:
how many hours would the student in part (a) need to study to have a 50 % chance of getting an a in the class?
Every student is unique and different from each other so its not possible to to provide an accurate estimate of the number of study hours a student would need to have a 50% chance of obtaining an A in the class.
To determine the number of hours a student needs to study to have a 50% chance of getting an A in the class, we require more information about the context and the factors influencing the student's grade.
The number of hours needed to achieve a desired grade depends on various factors, including the student's current level of understanding, the difficulty of the course material, their study habits, and the grading criteria of the class.
In general, to estimate the number of hours needed, it would be helpful to consider historical data or consult with the instructor or academic resources to understand the average study time required to achieve an A in the class.
Without specific information regarding the aforementioned factors, it is not possible to provide an accurate estimate of the number of hours a student would need to study to have a 50% chance of obtaining an A in the class.
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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What is 23 plus 77 divided by 2
Answer:
hi
Step-by-step explanation:
the answer to your question would be 26.5
26 with a remainder of 5
edit: its 50 don’t trust a go0gle calculator
Answer:
it is 50 because 77 plus 23 is 100 and after that we split that in have which it give us 50
Step-by-step explanation:
hope this helped:}
How to put this in vertex form?
The vertex form of equation is discussed below,
What is Vertex form?The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants. of the parabola is at (h, k).
As, A parabola has a lowest point if it opens upward.
Additionally, a parabola has a highest point if it opens downward.
The vertex of the parabola is located at this lowest or highest point.
Now, the parent function f(x) = x² has its vertex at the origin.
Also, The vertex form of a quadratic function is
f(x) = a(x – h)² + k, where a, h, and k are constants.
For example, The parent function f(x) = x² is vertically stretched by a
factor of 4/3 and then translated 2 units left and 5 units down.
So, the vertex form : g(x) = 4/3 (x+2)² - 5.
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(state FB) Let A= ⎣
⎡
0
0
0
0
1
0
0
−3
0
1
0
−4
0
0
1
−10
⎦
⎤
,B= ⎣
⎡
0
0
0
1
⎦
⎤
Determine the matrix K so that the eigenvalues of A−BK are at −1,−1, −1+j, and −1−j.
The matrix K is \(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\) .
The eigenvalues of A are the roots of the characteristic polynomial of A, which is:
det(A - xI) = (x + 1)(x + 3)(x + 4)(x + 10)
The eigenvalues of A are -1, -3, -4, and -10.
We want the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j. The characteristic polynomial of A - BK is:
det(A - BK - xI) = (x + 1)(x + 1)(x + 1 + j)(x + 1 - j)
To make the eigenvalues of A - BK to be -1, -1, -1 + j, and -1 - j, we need to set the following equations equal to 0:
(x + 1)(x + 1) = 0
(x + 1 + j)(x + 1 - j) = 0
The first equation gives x = -1 and x = -1. The second equation gives x = -1 + j and x = -1 - j.
Therefore, the matrix K must be such that B * K = [-1, -1, -1 + j, -1 - j]T.
One possible matrix K is:
\(\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&j&-j\\0&0&0&0\end{array}\right]\)
This matrix satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is a possible value of K.
Another possible matrix K is:
\(\left[\begin{array}{cccc}0&0&j&-j\\1&0&0&0\\0&1&0&0\\0&0&0&0\end{array}\right]\)
This matrix also satisfies the equation B * K = [-1, -1, -1 + j, -1 - j]T, so it is also a possible value of K.
There are many other possible matrices K that satisfy the equation B * K = [-1, -1, -1 + j, -1 - j]T. The specific value of K that you choose will depend on your specific application.
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You and your sister are buying your mom a birthday gift. You paid $54 and your sister paid $22. What percentage did each sister contribute to the total cost of the gift?
Answer:
$54 = 71%, $22 = 29%
Step-by-step explanation:
54+22=76
54/76 = 0.7105
22/76 = 0.2894
1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.
Answer:
A , B , D
Step-by-step explanation:
The price of a remote control car was reduced from $200 to $120. By what percentage was the
price of the remote control car reduced?
Answer:
%40
Step-by-step explanation:
Picking a blue marble, a green marble, and another blue marble (replacing it in the bag each time) from a bag of 2 blues, 4 reds, and 4 greens
Is -8 + 14 positive or negative?
Positive
Step-by-step explanation:
When you add 14 to -8 you get 6. 6 is positive so the answer is positive
Answer:
Positive.
Step-by-step explanation:
- 8 + 14 = 6
Thus it is positive.
what is the ratio of y to x
Answer:
5:2
Step-by-step explanation:
3√2-√6+10√2
simplified form
The value of simplified form of the expression is,
⇒ √2 (13 - √3)
We have to given that;
The expression is,
⇒ 3√2-√6+10√2
Now, We can simplify as;
⇒ 3√2 - √6 + 10√2
⇒ 3√2 - √2 × √3 + 10√2
⇒ 13√2 - √2 × √3
⇒ √2 (13 - √3)
Thus, The value of simplified form of the expression is,
⇒ √2 (13 - √3)
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write the augmented matrix for the system of equations calculator
The augmented matrix for the system of equations calculator that represents the given system of linear equations.
To write the augmented matrix for a system of linear equations, you need to identify the coefficients of the variables and the constants of each equation involved in the system. Augmented matrices are mathematical representations of systems of equations with variables. Each column of the matrix corresponds to a variable, while each row corresponds to an equation. The last column of the matrix is made up of the constant terms of the equations. The result is a matrix that contains all the information needed to solve the system of equations. The augmented matrix for a system of equations calculator is shown below.
The augmented matrix for the system of equations calculator is given as follows:
The augmented matrix for the system of equations calculator can be obtained by writing down the coefficients of the variables and the constants of each equation involved in the system as follows:
3x + 2y + 5z
= 4 4x - 3y + 2z
= 7 2x + 7y - 6z
= 8
Writing down the coefficients of the variables and the constants of each equation involved in the system in a matrix form, we get Augmented matrix = 3 2 5 | 4 4 -3 2 | 7 2 7 -6 | 8
The above is the augmented matrix for the system of equations calculator that represents the given system of linear equations.
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The scatterplot below represents the amount of paper left in an office copy machine in the month of June.
Approximately, what is the amount of paper left inside the machine on 14th of June
Answer:
75
Step-by-step explanation:
answer please image is below 35 points btw
Need a quick answer for this homework
Answer:
clothes are expensive
Step-by-step explanation:
the hypothesis is at the beginning of the sentence followed by the conclusion
A jar of vinegar and olive salad dressing says that it contains three fourths of a cup of vinegar and two and a half cups of oli how much vinegar would be needed to make 26 cups of the same dressing?
if every individual in the population has an equal chance of being selected for a sample, the sample is said to be a/an _____________ sample.
If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."
A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.
This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.
The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.
Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.
The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.
This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.
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Answer the following question in 3-4 complete sentences. Name the two rivers that run through the fertile crescent. How were the rivers both positive and negative to societies of the fertile crescent?.
The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.
These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.
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Answer:
The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.
Step-by-step explanation:
pictures below
AYO HELP ME SHAWTY PLEASE THANKS IG OR SUM WHATEVER
Answer:
the answer is D undefined slope
Answer:
UNDEFINED SLOPE
Step-by-step explanation:
mark brainliest if u want
1/2x-3=9 please bhelp me
Answer:
x=24
Step-by-step explanation:
Step 1: Add 3 to both sides: 1/2x-3+3=9+3
Simplify that: 1/2x=12
Step 2: Multiply both sides by 2: 1/2x*2=2*12
Simplify: x=24
Hope this helped! :)