What is the most appropriate measure of center?
A. The standard deviation
B. The range
OC. The median
D. The mean
Answers
Answer:
median is the most appropriate measure of center.
Step-by-step explanation:
The Median is the value in the center of the data. Because the median uses only one or two values, it is unaffected by extreme outliers.
Answer:
The Median
What is a median?
The middle number in a given sequence of numbers, taken as the average of the two middle numbers when the sequence has an even number of numbers.
A value is a measure of central tendency. The median is the value in the center of the data. Half of the values are fewer than the median, while the other half are greater than the median. In a skewed distribution, it is generally the best measure of center to employ.
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Related Questions
James fenced in his backyard. the perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. use the perimeter formula to find the length of his rectangular yard in inches: p = 2l 2w. (1 foot = 12 inches) 8 in. 18 in. 72 in. 96 in.
Answers
The length of James' rectangular yard is 96 inches. To find the length of James' rectangular yard in inches, we need to use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter is 20 feet.
Since 1 foot is equal to 12 inches, we can convert the perimeter to inches: 20 feet * 12 inches/foot = 240 inches.
We also know that the width of the yard is 2 feet, so we can convert it to inches: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation: 240 inches = 2l + 48 inches.
Subtracting 48 inches from both sides: 192 inches = 2l.
Dividing both sides by 2: 96 inches = l.
Therefore, the length of James' rectangular yard is 96 inches.
The length of James' rectangular yard is 96 inches.
To find the length of James' rectangular yard in inches, we can use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter of his fence is 20 feet.
To convert the perimeter to inches, we need to multiply it by the conversion factor of 12 inches per foot.
So, 20 feet * 12 inches/foot = 240 inches. Next, we can find the width of the yard, which is given as 2 feet.
Again, we can convert it to inches by multiplying by 12 inches per foot: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation gives us 240 inches = 2l + 48 inches. To isolate the variable, we subtract 48 inches from both sides: 192 inches = 2l.
Finally, dividing both sides by 2 gives us the length of James' rectangular yard in inches: 96 inches.
Therefore, the length of James' rectangular yard is 96 inches.
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If the density of blood is 1.060 g/ml, what is the mass of 6.56 pints of blood? [1 l = 2.113 pints]
Answers
The mass of 6.56 pints of blood is 3.92 grams.
Given
The density of blood = 1.060 g/mL and mass of 6.56 pints
We have 1L = 2.113 pints
The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.
The expression for density = mass/volume
ρ = m/V
m = ρV
Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)
= 3290.8 /1000
= 3.29g
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A straight line ax+by=16.it passes through a(2,5) and b(3,7).find values of a and b
Answers
The values of a and b that satisfy the equation of the line and pass through points A(2,5) and B(3,7) are a = 3 and b = 2.
To find the values of a and b, we need to use the coordinates of points A and B and the equation of the line ax+by=16.
First, we substitute point A(2,5) into the equation to get:
a(2) + b(5) = 16
Next, we substitute point B(3,7) into the equation to get:
a(3) + b(7) = 16
We now have two equations with two unknowns, which we can solve simultaneously.
Multiplying the first equation by 3 and the second equation by -2, we get:
6a + 15b = 48
-6a - 14b = -32
Adding the two equations, we eliminate the a variable and get:
b = 2
Substituting b = 2 into one of the original equations, we get:
2a + 10 = 16
Solving for a, we get:
a = 3
Therefore, the values of a and b that satisfy the equation of the line and pass through points A(2,5) and B(3,7) are a = 3 and b = 2.
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What is a great answer for 5 plus negative 4
Answers
A student is building a squirrel feeder for a family member. The figure is a model of the feeder.
A rectangular prism with dimensions 2 and three fourths inches by 16 and one half inches by 4 inches.
How much feed can the container hold?
twenty-seven and one-half in3
sixty-eight and three-fourths in3
ninety and three-fourths in3
one hundred eighty-one and one-half in3
Answers
The container can hold the feed equal to volume = 181.5 cube
A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section. The study of shapes and the arrangement of objects is known as Geometry. The surface area and volume of a rectangular prism are similar to those of other three-dimensional forms. The prism's net area is equal to its surface area.
To find how much feed the rectangular prism can hold you have to find its volume.
The formula to find the volume form a rectangular prism is:
Volume= Length x Width x Height
Now we must insert the values you have given:
Volume= 2.75 x 16.50 x 4
When you multiply that out it comes to:
Volume= 181.5
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Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Answers
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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Can someone help me with 1 and 2. Please show steps
Answers
Answer:
Step-by-step explanation:
question 1. 13) 1/2 ( 4a + 12) =
(13(1/2) ) (4a) + (13(1/2) ) (12) = 26a+78
question 2. (14)(4)b2+3.5−2a+3.5b2−a
=56b2+3.5+−2a+3.5b2+−a
Combine Like Terms:
=56b2+3.5+−2a+3.5b2+−a
=(56b2+3.5b2)+(−2a+−a)+(3.5)
=59.5b2+−3a+3.5
CAN SOMEONE HELP DO #1 PLEASE
Answers
Answer:
B. $450
Step-by-step explanation:
The amount of commission is the commission rate (3%) times the amount of sales to which it is applied ($5000). Garrett's commission last week would be ...
0.03 × $5000 = $150
He is also paid $300 each week in addition to his commission, so his total pay last week was ...
pay = salary + commission
pay = $300 +150 = $450
Define an independent set of a graph G = (V, E) to be a subset S of vertices such that V - S is a vertex cover of G. Is every 2-approximation algorithm for finding a minimum vertex cover also a 2-approximation algorithm for finding a maximum independent set? Justify your answer
Answers
No, every 2-approximation algorithm for finding a minimum vertex cover is not necessarily a 2-approximation algorithm for finding a maximum independent set.
The reason for this is that the two problems, minimum vertex cover and maximum independent set, are not symmetric in their definitions and objectives.
In the minimum vertex cover problem, the goal is to find the smallest possible set of vertices that covers all edges in the graph. On the other hand, in the maximum independent set problem, the objective is to find the largest possible set of vertices such that no two vertices in the set are adjacent.
An approximation algorithm for the minimum vertex cover problem guarantees that the size of the vertex cover found by the algorithm is at most twice the size of the optimal minimum vertex cover. This means that the algorithm provides a solution that is within a factor of 2 of the optimal solution.
However, this does not imply that the same algorithm will provide a solution within a factor of 2 of the optimal maximum independent set. The reason is that the concepts of vertex cover and independent set are complementary. A vertex cover is a set of vertices that covers all edges, whereas an independent set is a set of vertices with no adjacent vertices.
Therefore, while a 2-approximation algorithm for minimum vertex cover guarantees that the size of the vertex cover is at most twice the size of the optimal solution, it does not necessarily imply that the algorithm will find a maximum independent set with a size within a factor of 2 of the optimal solution.
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Say, for example, the correlation is 0.75 between fat content (measured in grams) and cholesterol level (measured in milligrams) for 20 different brands of American cheese slices. If cholesterol level were changed to being measured in grams (where 1 gram = 1000 milligrams), what effect would this have on the correlation?
Answers
If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.
This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.
The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.
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Draw an angle XYZ of 88 degree . Construct the angle bisector of
Answers
Answer:
Step-by-step explanation:
An angle is formed where two or more lines meet. It is measured in degrees. And an angle bisector is a straight line that divides an angle into two equal parts.
Given: <XYZ = \(88^{0}\).
Construction: A bisector of <XYZ.
The construction can be seen in the attached diagram.
Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0
Answers
Answer:
(x - 4)² - 9 = 0
Step-by-step explanation:
x² - 8x + 7 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 7 = 0
(x - 4)² - 9 = 0
suppose the number of customers visiting a shoe store follows a poisson process with a rate of 70 per day. assume 45 percent of customers make a purchase. the amount spent by a paying customer follows an exponential distribution with a mean of $120. the two distributions are independent. what is the standard deviation of the total sales per day for the shoe store?
Answers
The standard deviation of the total sales per day for the shoe store is approximately $1743.28.
To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.
The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).
The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).
The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).
Now, let's find the mean and variance of the total sales per day.
E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5
E[Z] = 120
E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780
Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325
Var(Z) = 120^2
Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250
Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.
The standard deviation of the total sales per day is the square root of the variance:
SD(XYZ) = sqrt(3035250) = 1743.28
Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.
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It takes 1 bag of chocolate chips to make
72 cookies. How many bags does it take to make
18 dozen cookies?
Answers
Answer:
3 bags of chocolate chips
Step-by-step explanation:
72 cookies is equal to 6 dozen cookies. 18÷6 = 3. So, we have to multiply the 1 bag of chocolate chips by 3 to get the total amount of chocolate chips. 1×3=3 so it takes 3 bags of chocolate chips to make 18 dozen cookies.
Answer:
3 bags
Step-by-step explanation:
a dozen of cookies means 12 cookies.
18 dozen cookies= 18(12)= 216 cookies
1 bag ----- 72 cookies
216 cookies ----- 216 ÷7= 3 bags
Method 2:
1 bag ----- 72 cookies= 6 dozen cookies
(since 72 ÷12= 6)
For 18 dozen cookies,
number of bags
= 18 ÷6
= 3
HELP PLEASE!!
“I think of a number, double it, and add twelve. My answer is 54.” What number am I thinking of?
Answers
Answer:
21
Step-by-step explanation:
21 + 21 = 42
42 + 12 = 54
so 21 is your answer
Answer:
21.
Step-by-step explanation:
For questions like this, it's easiest to work your way backwards from the answer to get the original number.
In this case, you subtract 12 from 54, which gives you 42 (54-12=41)
Then, you divide by 2, the opposite of "doubling". 42 ÷ 2 = 21.
Since there are no other operations, your original number is 21.
To confirm, just go through the problem again starting with 21 and seeing if you get to 54.
21, doubled (42), add 12 = 54.
NEEP HELP ASAP
Approximate the best-fitting line for the data.
Answers
Answer:
8) The y axis incresases as it gets higher
9) The numbers are decreasing since it is going down
Help me asapppppppppppp
Answers
Answer:
45cm^2
Step-by-step explanation:
multiply 5 and 9 and thats the answer you end up with basically
Solve this equation 23x−15x=x−1
Answers
Answer:
x = 1/7
Step-by-step explanation:
23x - 15x = x-1
8x = x - 1
8x - x = 1
7x = 1
x = 1/7
Answer:
\(\sf x=-\frac{1}{7}\)Step-by-step explanation:
\(\sf 23x-15x=x-1\)
\(\sf 8x=x-1\)
\(\sf 8x-x=x-1-x\)
\(\sf 7x=-1\)
\(\sf \cfrac{7x}{7}=\cfrac{-1}{7}\)
\(\sf x=-\cfrac{1}{7}\)
ASAP please & thank you
Answers
the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:
Answers
The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
What is square of correlation coefficient?
A helpful number in linear regression is the square of the correlation coefficient, or r2.
The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.
The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.
Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.
The square of the correlation coefficient is what is meant by the term "coefficient of determination."
Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
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If equipment cost $20,000 and accumulated depreciation amounts to $6,000, the book value of the equipment is?
Answers
The book value of the equipment is $14000
Given,
equipment cost = $20,000
depreciation amounts = $6,000
book value of the equipment = equipment cost - depreciation cost
= 20000 - 6000
= $14000
What Are Depreciation Expenses?
Depreciation expense, on the other hand, is the amortized portion of the cost of the business's fixed assets during a certain period. Depreciation expense is recognized in the income statement as a non-cash expense that reduces the net income or profit of the business. For accounting purposes, depreciation expense is debited and accumulated depreciation is credited.
Depreciation expenses are treated as non-cash expenses because periodic monthly amortization is not involved in cash transactions.
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Find the total amount you will pay on a bill of $43.50 and tip rate of 12%.
Answers
Explanation: you multiply 43.50 by .12 to get 5.22 then you add that to 43.50 to get 48.72
Answer:
About $48.72
Step-by-step explanation:
Tip = Cost * 0.xx
Total including Tip = Cost * 1.xx
where xx = the percent tip you want to leave.
How many ones does it take to make a ten?
Answers
Answer:
it takes 10 ones to make a ten.
Which table represents a function?
Answers
The answer choice which represents a function among the given answer choices is; Choice B.
Which answer choice represents a function among the given answer choices?According to the given task content; the table which represents a function among the given answer choice is to be identified.
Recall that a function can be defined as a relation in which case; each input value is assigned not more than one value.
By observation, only the answer choice B has a combination of input and output values in which case; each input value is assigned only one output value.
Hence, since a function is a relation which is characterized by assigning only one output value to each input value; the correct answer choice is; Choice B.
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.Damian wrote the number five and thirty-eight thousandths as 5.38. Was he correct or not? if so, what was the error
Answers
Answer:
he is incorrect.
Step-by-step explanation:
It would be 5 and 38 HUNDRETHS because the first number after the decimal is the tenths.
a child advocate collects data by randomly selecting 4 of the 25 state orphanages and surveys every child in the four orphanages.
Answers
The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.
This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.
By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.
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Interpret the probability. In 100 trials of this experiment, it is expected about (Round to the nearest whole number as needed.) to result in exactly 15 flights being on time
Answers
Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.
What is the probability?The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.
What is the trials?when we refer to an experiment or trial, we mean a random experiment. When difference between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.
Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.
according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.
The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,
E(X) = n p = 15 n = 100
p = \(\frac{E(X)}{n} = \frac{15}{100}\) = 0.15
Therefore, it is probability that 0.15 %of flights will arrive on time.
To determine the expected number of trials from a total of 100
Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:
\(P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}\)
We can calculate this 0.144 get using a calculator.
therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.
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Refer to Table \( \$ 6.1 \)-Factors for Computing Control Chart Limits \( (\underline{3} \) sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine
Answers
The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.
How can the control chart limits be computed using Table $6.1 for the given problem?To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:
Determine the sample size: In this problem, each sample consists of 7 observations.
Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.
Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.
Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.
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The download time, t, is equal to the product of the number of gigabytes, g, and 3 minutes .
Answers
Answer:
I dont really know what your question is but i'll explain.
t=3g is the equation form of this.
You can replace the values
simplify sin 2 ( t ) cos 2 ( t ) sin 2 ( t ) sin2(t) cos2(t)sin2(t) to an expression involving a single trig function with no fractions.
Answers
The trigonometric function simplified as a single expression is cosec² t .
The given trigonometric function is : \(\frac{sin^2t+cos^2t}{sin^2t}\)
We know from trigonometric identity : that sin²t +cos²t = 1
hence the given expression simplifies to 1 / sin²t
Again trigonometric ratios states that :
1 / sin t = cosec t
∴ 1 / sin²t = cosec² t
Hence the trigonometric function is of the form cosec² t .
The right-angled triangle's angle and the ratios of its two side lengths are connected by the trigonometric functions, which are actual functions. They are also referred to as goniometric functions, circular functions, and angle functions .
The three trigonometric functions that are used in modern mathematics the most commonly are sine, cosine, and tangent. The less frequent cotangent, cosecant, and secant are their reciprocals.
Disclaimer: The complete question is :
simplify sin² ( t ) + cos ² ( t ) / sin ² ( t ) to an expression involving a single trig function with no fractions.
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