\(\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}\)
As we know that ,
⠀⠀⠀⠀Mean= sum of all numbers/ total number of numbers\( \longrightarrow \) Mean= 62+78+59+89/4
\( \implies \) Mean = 288/4
\( \implies \) Mean= 72\(\huge\boxed{\fcolorbox{purple}{yellow}{Answer\:= \:72}}\)Answer:
72
Step-by-step explanation:
62 + 78 + 59 + 89 = 288
then count how many data you have
288 / 4 = 72
Solve and explain the steps you would use in solving 2 step problems
PLEASE HELP ASAP
Answer:
got deleted eh?
Step-by-step explanation:
Find the area of the polygon.
19 ft
14 ft
3 ft
4 ft
4 ft
Line m passes through the point (1, 2) and has a slope of 2/5 What is the equation of line m in standard form?
Answer:
5y - 2x = 8
Step-by-step explanation:
First off we have to find the y-intercept with : b = y-mx
\(b=2-(\frac{2}{5})(1)\)
\(b=\frac{10}{5}-\frac{2}{5}\)
\(b=\frac{8}{5}\)
now we have the point slope form
\(y=\frac{2}{5}x+\frac{8}{5}\)
Multiply both sides by 5
\(5y=2x+8\)
Subtract 2x from both sides
\(5y-2x=8\)
A triangle has a base length of 3ac2 and a height 2 centimeters more than the base length. Find the area of the triangle if a = 2 and c = 3.
The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.
We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.
(1/2) * Base * Height = Area
We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.
Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters
Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).
Using these values as a substitute in the formula, we obtain:
Area =\((1/2) * 54 * 56 = 1512\) square centimeters
centimetres square
It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.
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How many questions are in math map 7th grade
Answer:
It really depends how well you are doing. It varies from time to time. Mine was about 40-50 questions
A college library has five copies of a certain text on reserve. Three copies (1, 2, and 3) are first printings, and the remaining two (4, and 5) are second printings. A student examines these books in random order, stopping only when a second printing has been selected. One possible outcome is 4, and another is 214. (a) List the outcomes in S. (b) Let A denote the event that exactly one book must be examined. What outcomes are in A
Answer:
S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }
A ={(4), (5)}
Step-by-step explanation:
Given that:
Among the three copies, (1,2,3) are the first printings, and (4,5) are the second printings.
A student who examines these books in random order stops when a second printing has been selected.
Thus, we can compute the sample space associated with these experiments as:
S = { (4), (5), (1,4), (1,5), (2,4), (2,5), (3,4), (3,5), (1,2,3,4), (1,2,3,5), (2,1,3,4) (2,1,3,5), (3,1,2,4), (3,1,2,5) }
Suppose A represents the event that we must examine exactly one book.
Then the outcomes of A are:
A ={(4), (5)}
Alice, Bob, and Carmen are three recent graduates of the ASU Engineering program who are now gainfully employed. They tell you their salaries; from this data, you wish to determine whether the mean salary of recent graduates of the ASU Engineering program is above the national average. Match each of the following elements of this example with its correct name.
A. Alice's, Bob's, and Carmen's salaries
B. Salaries of recent graduates of the ASU Engineering program
C. A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis
Complete Question
Generally the complete question is shown on the first uploaded image
Answer:
A. Alice's, Bob's, and Carmen's salaries Sample
B Salaries of recent graduates of the ASU Engineering program Population
C A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis
P-value
Step-by-step explanation:
Considering A
The salaries of Alice, Bob, and Carmen are Samples because they are selected from a larger population (i.e the salaries of recent graduates of the ASU Engineering program)
Considering B
The salaries of recent graduates of the ASU Engineering program is the population because it is the entire pooled of data from which the samples are selected from
Considering
A number computed from the average of Alice's, Bob's, and Carmen's salaries that helps us decide whether to reject the null hypothesis is the P-value because the P-value is computed from the sample and it is use to make decision whether to reject or fail to reject the null hypothesis
Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
Who makes it, has no need of it.
Who buys it, has no use for it.
Who uses it can neither see nor feel it.
What is it?
It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.
The person who is using it has passed away so they can't see or feel anything.
:( This is one morbid riddle.
goyeggoyeceo y sit stuu try steet8eitccetiectoce58
Step-by-step explanation:
yeti et87stps tu et8 e85et 8
u0r as8tcc85e7ce5ctce5e5c8cr6
I ts its 7w496 w4y rs9rr s77
Jessica needs to know how much water her new fish tank can hold:
A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.
Determine the total volume of the fish tank.
The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
The volume of a rectangular prism can be calculated using the formula:
V = l x b x h..........(i)
where,
V ⇒ Volume
l ⇒ length
b ⇒ width
h ⇒ height
From the question, we are given the values,
l = 8 inches
b = 4 inches
h = 9 inches
Putting these values in equation (i), we get,
V = 8 x 4 x 9
⇒ V = 288 in³
Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.
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PLEASEEEEE HELPPPPP If a train traveled at 50 meters within 120 seconds, what is its speed?
Answer:
2.4 miles per second
Step-by-step explanation:
50 meters / 120 seconds = 2.4 mps
Write the standard equation of the circle with center (-5,12) that passes through the point (-9,15)
The standard equation of the circle with center (-5,12) that passes through the point (-9,15) is (x + 5 )² + (y - 12)² = 25.
What is the equation of the circle?The standard form equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
Given that; the center is (-5, 12) and a point on the circle is (-9, 15).
First, we determine the radius, we can use the distance formula between the center and the point on the circle:
\(r = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \\\\r = \sqrt{(-9 - (-5))^2+(15 - 12)^2} \\\\r = \sqrt{(-9 + 5)^2+(15 - 12)^2} \\\\r = \sqrt{(-4)^2+(3)^2} \\\\r = \sqrt{16+9} \\\\r = \sqrt{25} \\\\r = 5\)
Now, center: (-5, 12)
h = -5
k = 12
and r = 5
Plug these into the equation above:
(x - h)² + (y - k)² = r²
(x - (-5) )² + (y - 12)² = 5²
Simplify
(x + 5 )² + (y - 12)² = 25
Therefore, the equation of the circle is (x + 5 )² + (y - 12)² = 25.
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The median weekly income for a student who drops out of high school is 451. Someone with a bachelor's degree from college earns 1053 in that same week. Calculate each person's yearly income and then the difference between them.
The difference between their yearly incomes is $31,304.
To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:
For the student who drops out of high school:
Yearly Income = Weekly Income x Number of Weeks
= 451 x 52
= 23,452
For someone with a bachelor's degree:
Yearly Income = Weekly Income x Number of Weeks
= 1053 x 52
= 54,756
The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:
Difference = Bachelor's Yearly Income - Student's Yearly Income
= 54,756 - 23,452
= 31,304
Therefore, the difference between their yearly incomes is $31,304.
It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.
Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.
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Find the approximate slope of the line that contains the points (5.1, -2.8) and (6.4,-1.2). State whether the line is increasing, decreasing, horizontal, or vertical.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is (fill in the blank)
B The slope is undefined
Is the line increasing, decreasing, horizontal, or vertical?
Horizontal
Increasing
Decreasing
Vertical
Answer:
slope = 16/13, increasing
Step-by-step explanation:
solve for the slope
-1.2-(-2.8)/(6.4-5.1)
= 16/13
it's positive meaning it's increasing
A swiming pool has a length of 12meters width of 6 meter and a height of a 5 meter how much water is needed to fill the swiming pool?
Answer:
\(\boxed {360 m^{3}}\)
Step-by-step explanation:
Water needed to fill the pool = volume of pool
Volume :
Volume = Length × Width × HeightVolume = 12 m × 6 m × 5 mVolume = 12 m x 30 m²Volume = 360 m³Hence, 360 m³ of water has to be filled.
Answer:
360 m³
Step-by-step explanation:
The swimming pool can be modeled as a rectangular prism with the following dimensions:
length = 12 mwidth = 6 mheight = 5 mTo find how much water is needed to fill the pool, calculate the volume of the rectangular prism using the given dimensions:
\(\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf length \times width \times height\\\implies \textsf{Volume of pool} & = \sf 12 \times 6 \times 5 \\& = \sf 72 \times 5\\& = \sf 360 \:\: m^3\end{aligned}\)
Therefore, 360 m³ of water is needed to fill the swimming pool.
In an economics class, 4 students earned an A, 6 earned a B, 5 earned a C, 5 earned a D, and 3 earned an F. If a single student is picked at random, what is the probability that they earned an B or C?
Provide your answer as a simplified fraction.
Answer:
11/23
Step-by-step explanation:
B = 6
C = 5
6+5=11
11/23
I am an integer. Double me and then add 7. Finally, subtract 10 and the result will be -27. What number am I?
Answer:
-12
Step-by-step explanation:
-27+10=-17
-17-7=-24
-24/2=-12
Answer:
the integer is -12
Step-by-step explanation:
the integer is x
2x+7-10=-27
subtract 7 from both sides
2x-10=-34
add 10 to both sides
2x=-24
divide both sides by 2
x=-12
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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The frequency table shows the scores from rolling a dice 10 times.
Work out the mean
Answer: 16/5 or 3.2
Steps:
=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1
=> 16/5 or 3.2 (answer)
Need help with the provided questions
Please help will mark Brainly
The length of a rectangle is 2 inches shorter than double the width. Which shows the correct algebraic expressions for the length and width of the rectangle?
Answer:
let Length = x
then width = x -2 (2 inches less than length
now
A = Lw
35 = x (x -2)
35 = x2 - 2x
x2 -2x -35 = 0
(x-7)(x+5) = 0
x-7=0
x=7
so length = 7
width = 7 -2 = 5
Hope this helps
Step-by-step explanation:
Given the drawing as shown below and that p || q, which of the following cannot be supported by the evidence shown?
A -
B -
C -
D -
Answer:
D
Step-by-step explanation:
The angle of B is not near angle D at all. They're supplementary, not the same.
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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Find measure of angles C & E.
F=79⁰
D=134°
Answer:
C = 101°
E = 46°
Step-by-step explanation:
You want to know the missing angles in a trapezoid with one base angle measuring 79° and another base angle measuring 134°.
Consecutive Interior AnglesWhere a transversal crosses parallel line, the consecutive interior angles are supplementary. This means ...
∠C +∠F = 180°
∠C = 180° -79° = 101°
and ...
∠D +∠E = 180°
∠E = 180° -∠D = 180° -134° = 46°
The angle measures are ...
m∠C = 101°
m∠E = 46°
Help plzzz I need answer ASAP
What is the product of 148x27
Answer:
3996 :)
Step-by-step explanation:
Answer:
3,996
Step-by-step explanation:
Hope this right.but if it's not,im so sorry
1
Which expressions are factors of 3x^2 – 5x – 12 ? (Check all that apply)
A X-4
B X- 3
C X+3
D 3X- 4
E 3X +4
F3X-3
G 3X+ 3
An HR manager would like to test the hypothesis that the proportion of agenda-less meetings is more than 45%. Based on the information below, choose the correct conclusion for this hypothesis test. To test this, he randomly selected minutes from 100 past meeting, and found that 65 of them had no agenda. The following is the setup for this hypothesis test: H0:p=0.45 Ha:p>0.45 The p-value for this hypothesis test is 0.025. At the 5% significance level, should he reject or fail to reject the null hypothesis? Select the correct answer below: Reject the null hypothesis because 0.45>0.05. Fail to reject the null hypothesis because 0.45>0.05. Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05. Fail to reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.
Answer: Reject the null hypothesis because the p-value =0.025 is less than the significance level α=0.05.
Step-by-step explanation: Trust me