The most effective measure of central tendency for this data is the median.
Given the following data, the most effective measure of central tendency would be the median. Here's how:
To find the mean for the given data,
we will add all the values and then divide it by the number of values:
\(41 + 33 + 33 + 31 + 21 + 23 + 28 + 28 + 28 + 27 + 17 + 18 + 17 + 30 + 21 + 23 + 14 + 16 + 26 + 26 = 478.\)
Mean \(= 478 / 20\)
\(= 23.9.\)
Now let's calculate the median by arranging the values in order:
\(14, 16, 17, 17, 18, 21, 21, 23, 23, 26, 26, 27, 28, 28, 28, 30, 31, 33, 33, 41\)
There are 20 values, and the middle two values are 26 and 27.
Therefore, the median is \((26+27)/2 = 26.5.\)
The mode is the value that appears most frequently in the data.
In this case, there is no value that appears more than once,
so there is no mode.
Standard deviation is a measure of dispersion, not central tendency,
so it is not an appropriate measure for this question.
Therefore, the most effective measure of central tendency for this data is the median.
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Is this true or false? Ill give brainliest
Answer:
The correct answer is FALSE
Step-by-step explanation:
False is correct because it is a proportional relationship because it passes through the origin and it is a straight line.
HAVE A GOOD DAY!
Answer:
i belive it's true
Step-by-step explanation:
1/a-1 -1/a+1 - 2/2a+1 - 2/2a-1
Answer:
-2-\(\frac{2}{a}\)
Step-by-step explanation:
I broke up the fractions so that it is easier.
\(\frac{1}{a-1}\) - \(\frac{1}{a+1}\) - \(\frac{2}{2a+1}\) - \(\frac{2}{2a-1}\) = (\(\frac{1}{a}\) - \(\frac{1}{1}\)) - (\(\frac{1}{a}\) + \(\frac{1}{1}\)) - (\(\frac{2}{2a}\) + \(\frac{2}{1}\)) - (\(\frac{2}{2a}\) - \(\frac{2}{1}\))
Now I remove the brackets. One plus and one minus make one minus and two minus makes one plus.
(\(\frac{1}{a}\) - \(\frac{1}{1}\)) - (\(\frac{1}{a}\) + \(\frac{1}{1}\)) - (\(\frac{2}{2a}\) + \(\frac{2}{1}\)) - (\(\frac{2}{2a}\) - \(\frac{2}{1}\)) =\(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{2}{2a}\) - \(\frac{2}{1}\) - \(\frac{2}{2a}\) + \(\frac{2}{1}\)
Remove redundancies. (\(\frac{1}{a}\) - \(\frac{1}{a}\) = 0)
\(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{2}{2a}\) - \(\frac{2}{1}\) - \(\frac{2}{2a}\) + \(\frac{2}{1}\) = -\(\frac{2}{1}\) -\(\frac{4}{2a}\)
Simplify the fractions.
-\(\frac{2}{1}\) -\(\frac{4}{2a}\) = -2-\(\frac{2}{a}\)
P and Q are on the line 4x+3y=12
complete the coordinates of P and Q
Answer:
Q(3; 0)
Step-by-step explanation:
Let's y=0
4x=12
Devide both sides by 4 then x=3
see attached photo, please help asap!!!
Answer:
3.398
Step-by-step explanation:
log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398
A steep mountain is inclined 72 degree to the horizontal and rises 4500 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 900 ft from the base of the mountain. Find the shortest length of cable needed.
Answer:
\(l_c=5078.27ft\)
Step-by-step explanation:
From the question we are told that:
Angle of inclination \(\angle=72 \textdegree\)
Height \(h=4500ft\)
Distance b\w cable base and mountain base \(d_{cm}=900ft\)
Generally the equation for length of mountain base \(d_{mb}\) is mathematically given by
\(Tan\theta=\frac{h}{d_{mb}}\)
\(d_{mb}=\frac{h}{Tan\theta}\)
\(d_{mb}=\frac{4500}{Tan 72 \textdegree}\)
\(d_{mb}=1462.11ft\)
Generally the Pythagoras equation for length of the cable \(l_c\) is mathematically given by
\(l_c^2=h^2+(d_{mb}+d_{cm}^2)\)
\(l_c^2=4500^2+(1462.11}+900}^2)\)
\(l_c=5078.27ft\)
Write an explicit formula for the following sequence
14, 15, 16, 17, 18, ...
Answer:
x+1
Step-by-step explanation:
all sequences are added by one, so x+1
Mrs. Whitaker had a bag of 56 marbles. If 1/4 of the marbles were red and 3/7 were yellow, how many marbles were neither red nor yellow?
Answer:
38 marbles
Step-by-step explanation:
56 x 1/4 = 14
56 x 3/7 = 24
14 + 24 = 38
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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can someone help me with this :/
solve using the quadratic formula: x=(-b +/-sqr(b^2 - 4ac)/(2a)
2x² + x - 1 = 0
answers in (pic)
Answer:
2x² + x - 1 = 0
a= 2 b= 1 c= -1
x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a
x = -1 +- sqr rt (1 - 4 *2*-1) / 4
x1 = [ -1 + (sqr rt (1 +8)) / 4
x1 = ( -1 + sqr rt (9)) / 4
x1 = (-1 + 3) / 4
x1 = .5
x2 = (-1 -3) / 4
x2 = -4 / 4
x2 = -1
And to check that answer: http://www.1728.org/quadratc.htm
Step-by-step explanation:
236 divided by 44 pls
Answer:it’s 5.36
Step-by-step explanation:
I will get 10% off if and only if i spend at least $75
Answer:
You'd spend $67.5
Step-by-step explanation:
1
Jenny is arranging rows of chairs for the student play.
There are 7 chairs in the first row.
Each row behind the first row has two more chairs than the previous row.
Complete the explicit definition for this sequence. Your answer must be fully simplified.
Explicit Definition of an Arithmetic Sequence
an = a1 + (n-1) d
Answer: \(a_n = 2n+5\)
==================================================
Work Shown:
\(a_n = a_1 + d(n-1)\\\\a_n = 7 + 2(n-1)\\\\a_n = 7 + 2n-2\\\\a_n = 2n+5\\\\\)
--------------------
Explanation:
We plug in \(a_1 = 7 \ \text{ and } \ d = 2\) as they represent the first term and common difference in that order. The common difference is 2 because the number of chairs increases by 2 each time you move up a row.
To verify that answer, let's plug in the value n = 1
\(a_n = 2n+5\\\\a_1 = 2(1)+5\\\\a_1 = 2+5\\\\a_1 = 7\\\\\)
Which matches with the first term being 7. I'll let you verify other terms.
This enraged Hitlers Father who punished him severely
Answer:
lol.
cool.
I don't really care if you give me brain or not but I would love it if you did.
Step-by-step explanation:
Help please I don’t get it
Answer:
B
Step-by-step explanation:
when the arrow is pointing toward the left side that means less than side. When the arrow is pointing towards the right side that means greater than.
Answer:
B, because that symbol means at least so you would go to the negative side which is on the left it has to start from 4 which is correct and this means negative: - The 0 is the origin so from the origin to the left side is negative from the origin to the right side is positive you want to look for negative because it's negative 4.
if the inside height of the trailer is 6.5 feet, what is the total volume of the inside of the trailer, to the nearest cubic foot?
The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.
What is a composite figure?A composite figure is a figure comprising of two or more regular figures.
The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.
Please find attached the cross section of the Cargo Trailer Floor created with MS Word.
The dimensions of the rectangle are; Width = 6 ft, length = 10 ft
The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft
Height of the triangular cross section = √(4² - (6/2)²) = √(7)
The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)
A = 60 + 3·√7
Volume of the trailer, V = Cross sectional area × Height
V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7
Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³
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Omar has a rope that is 7 meters long. He cuts away a piece that is 2.74 meters long. How long is the remaining piece of rope?
Answer:
4.26
Step-by-step explanation:
If you cut off 2.74 meters off of a 7 meter rope it will leave you with 4.26 meters.
It takes 120 unit cubes to completely fill a rectangular prism. The prism is 10 unit cubes high. What are the other possible dimensions of the rectangular prism?
the possible dimensions of the rectangular prism are:
1 unit by 12 units by 10 units
2 units by 6 units by 10 units
3 units by 4 units by 10 units
Let the length and width of the rectangular prism be represented by l and w, respectively. Since the height of the prism is 10 unit cubes, we know that the volume of the prism is:
V = l × w × 10
We are also given that the prism requires 120 unit cubes to fill completely, which means:
V = l × w × 10 = 120
Dividing both sides by 10, we get:
l × w = 12
Now we need to find pairs of positive integers l and w that multiply to 12. These are:
1 × 12
2 × 6
3 × 4
Therefore, the possible dimensions of the rectangular prism are:
1 unit by 12 units by 10 units
2 units by 6 units by 10 units
3 units by 4 units by 10 units
Note that these dimensions are not unique, as we can also obtain different dimensions by exchanging the length and width, or by rotating the prism.
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Which of the following are like radicals? Check all
of the boxes that apply.
3x√x²y
O -12x√√x³y
O-2x√xy³²
Ox√yx²
-x√x²y
O 2√xy
The like radicals are 3x√x²y and x√yx², and the answer is:
3x√x²y, -2x√xy³², x√yx², 2√xy
What is expression?An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division. It does not have an equal sign and can be simplified or evaluated by applying the appropriate rules of arithmetic.
According to the given information:
The like radicals have the same radicand (expression under the radical sign) and the same index (the number outside the radical sign). Checking each expression:
3x√x²y: The radicand is x²y and the index is 2.-12x√√x³y: The expression can be simplified as -12x√(x√(x^2 * y)) = -12x√x³√y, which has a different index than the first expression, so it is not a like radical.-2x√xy³²: The radicand is xy³² and the index is 2.x√yx²: The expression can be simplified as x√(y*x²) = x√(x²y), which has the same radicand and index as the first expression, so it is a like radical.-x√x²y: The expression can be simplified as -x√(x²y) = -x|x|√y, which has a different coefficient and a different index than the first expression, so it is not a like radical.2√xy: The radicand is xy and the index is 2.Therefore, the like radicals are 3x√x²y and x√yx², and the answer is:
3x√x²y, -2x√xy³², x√yx², 2√xy
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A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
What is the equation of a line that goes through the point (0, -3) and has a slope of -2?
A.y=2x-3
B. y = - 2x - 3
C.-3y - 2x
D. y=-3x - 2
Answer:
b.y=-2x-3
Step-by-step explanation:
the -3 in the point it goes through becomes the y-intercept
The price of a coat is reduced by 17% in a sale.
The sale price is £78.85.
What was the original price of the coat?
Give your answer in pounds (£).
The required original price of the coat is given as £95.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
let the original price of the coat be x,
According to the question
x - 17% of x = 78.85
x - 0.17x = 78.85
0.83x = 78.85
x = 78.85 / 0.83
x = £95
Hence, the cost of the coat before the sale is £95.
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You have a $25 calling card. Calls made using the card within the United States cost $.10 per minute while calls made from the US to France cost $.25 per minute. a. Write an inequality that relates the number of minutes ‘x’ you can use for calls within the U.S. and the number of minutes ‘y’ you can use for calls from the U.S. to France.
The inequality that represents the number of minutes of calls made in the United States and in France, can be presented as follows:
The inequality that represents the duration of calls that can be made in the United States: 0 ≤ x ≤ 250The inequality that represents the number of minutes of calls that can be made in France using the calling card is: 0 ≤ y ≤ 100What is an inequality in mathematics?An inequality expresses the relationship between two or more values that are not equal.
The value of the calling card = $25
The cost of calls made in the United States = $0.10
Cost of calls made in France = $0.25
The number of minutes that can be used for calls in the U.S. = x
The number of minutes that can be used for making calls in France = y
The duration of calls that can be made in the United states is therefore:
\(x_{max} = \dfrac{\$25}{\$0.10} = 250\)
The inequality that represents the number of calls that can be made in the United States is therefore: 0 ≤ x ≤ 250
The duration of calls that can be made in France with the $25 calling card is therefore: \(y_{max}=\dfrac{\$25}{\$0.25} = 100\)
The inequality that represents the number of minutes the calling card can be used in making calls in France is: 0 ≤ y ≤ 100
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The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h.
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per second. After how many seconds does the ball attain its maximum height.
Round to the nearest hundred.
Answer:
3.75 seconds
Step-by-step explanation:
Given:
\(h(t)=-16t^2+Vt+h\)
\(h=2\)
\(V=180\)
Plug in given info into formula:
\(h(t)=-16t^2+120t+2\)
Find the x-coordinate of the vertex:
\(t=-\frac{b}{2a}\)
\(t=-\frac{120}{2(-16)}\)
\(t=-\frac{120}{-32}\)
\(t=\frac{15}{4}\)
\(t=3.75\)
Jack brought three binders from the store and paid $13.17. If he goes back to the store to purchase five more binders, How much in total will he have spent on binders
Answer:
35.12 dollars. hope this helps
Step-by-step explanation:
incorrect answer icon your answer is incorrect. which synthesis of a grignard reagent would fail to occur as written? all of these choices will succeed.
The important to carefully select the correct reagents and conditions in order to successfully synthesize a Grignard reagent.
The synthesis of a Grignard reagent would fail to occur if the incorrect reagent is used. This is because Grignard reagents are highly reactive and require specific conditions in order to successfully form. For example, if the synthesis reaction includes an incorrect solvent, such as water or an alcohol, the Grignard reagent will not form as these solvents are not compatible with the reagent.
Additionally, if the incorrect alkyl halide is used, the Grignard reagent will not form as the reaction requires a specific type of alkyl halide in order to proceed. Therefore, it is important to carefully select the correct reagents and conditions in order to successfully synthesize a Grignard reagent.
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find the estimated difference. Round to the nearst whole number 83.92 - 47.23
The nearest whole number 83.92 - 47.23=37(rounding off)
Given,
83.92 - 47.23=36.69
The whole number is 0,1,2,3...
Rounding a number refers to the act of simplifying a number such that its value remains near to what it was. The outcome of rounding off a number is less precise but more convenient to utilize. We consider the place value of digits in a number when rounding it.
Let us look at an example to better grasp the notion of rounding. Susan walked 2.05 miles, which she estimated to be around 2 miles.
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In State College, PA the average outside temperature during the month of January was 35 degrees F. Calculate the HDD for the month of January.
The HDD for the month of January in State College, PA is 930.
To calculate the HDD (Heating Degree Days) for the month of January in State College, PA, we need to subtract the average daily temperature from 65 degrees Fahrenheit, which is considered the standard temperature for indoor heating.
HDD = 65°F - 35°F
HDD = 30°F
Therefore, the HDD for the month of January in State College, PA is 30 degrees Fahrenheit.
Hi! To calculate the Heating Degree Days (HDD) for the month of January in State College, PA with an average outside temperature of 35 degrees F, follow these steps:
1. Determine the base temperature: In the US, the base temperature is commonly 65 degrees F.
2. Subtract the average temperature from the base temperature: 65 - 35 = 30 degrees.
3. Multiply the difference by the number of days in the month: January has 31 days, so 30 * 31 = 930.
So, the HDD for the month of January in State College, PA is 930.
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To calculate the HDD for the month of January in State College, PA, we need to first determine the base temperature. The base temperature is the temperature below which a building needs to be heated in order to maintain a comfortable indoor temperature. In this case, we will use a base temperature of 65 degrees F.
To calculate the HDD, we need to subtract the average daily temperature from the base temperature and sum up the values for each day of the month. If we assume that January has 31 days, we can calculate the HDD as follows:
HDD = (65 - 35) x 31
HDD = 930
So the HDD for the month of January in State College, PA is 930. This means that during the month of January, there were 930 heating degree days, which indicates the amount of heating required to maintain a comfortable indoor temperature. It is important to note that the HDD can vary depending on the base temperature used, so it is important to choose a base temperature that is appropriate for the climate and the building being heated.
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the type of nonprobability design that is most likely to yield a representative sample is:
The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.
In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.
By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.
However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.
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regression 1 78.43 78.43 3.58 residual 23 503.76 21.9 total 24 582.19 coefficients standard error t-stat p-value intercept 39.4 14.14 2.786 0.0045 advertising 2.89 1.69 −1.71 0.059
The output you have provided appears to be a regression analysis of some data, where a dependent variable is regressed on one independent variable.
Here's how to interpret the output:
The model's equation is:
Dependent Variable = Intercept + (Coefficient * Independent Variable)
In this case, the dependent variable is not mentioned, but we know it has 24 observations. The independent variable is advertising.
The coefficients table provides information about the intercept and coefficient of the independent variable. The intercept is 39.4, which means that when the advertising budget is zero, the dependent variable (whatever it is) is expected to have a value of 39.4.
The coefficient of the independent variable is 2.89, which means that for each one-unit increase in advertising, the dependent variable is expected to increase by 2.89 units.
The standard error of the intercept is 14.14, which is a measure of the uncertainty in the estimate of the intercept. The t-statistic is 2.786, which is calculated by dividing the intercept estimate by its standard error. The p-value associated with the intercept is 0.0045, which means that if the null hypothesis (that the intercept is zero) were true, the probability of obtaining an estimate as extreme as 39.4 or more extreme in the direction of the alternative hypothesis would be only 0.0045. Since this is less than the conventional alpha level of 0.05, we can reject the null hypothesis and conclude that the intercept is significantly different from zero.
Similarly, the standard error of the coefficient of the independent variable is 1.69, which is a measure of the uncertainty in the estimate of the coefficient. The t-statistic is -1.71, which is calculated by dividing the coefficient estimate by its standard error.
The p-value associated with the coefficient is 0.059, which means that if the null hypothesis (that the coefficient is zero) were true, the probability of obtaining an estimate as extreme as 2.89 or more extreme in the direction of the alternative hypothesis would be 0.059. Since this is greater than the conventional alpha level of 0.05, we cannot reject the null hypothesis and conclude that the coefficient is not significantly different from zero at the 5% level of significance.
However, it is worth noting that the p-value is close to the significance level, so the result is borderline significant.
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x= x 1/3 * x3 is it always sometimes or true
Answer:
Only sometimes true
Step-by-step explanation:
Now, I'm going to go out on a whim here, since your equation writing isn't the best, but I will assume that the equation is:
x = x/3 * 3x
Now, to simplify this equation, we will multiply both sides by 3, giving us:
3x = x * 3x
Then, simplify the left side:
3x = \(3x^{2}\)
Divide by 3 gives us:
\(x = x^{2}\)
Now, this is only true in two cases. When x is 1, and when x is 0. So, that equation is only sometimes true.
Hope this helped!