The combinations that are more affected by extreme observations are mean and standard deviation, while the combinations that are less affected are median and IQR.
The mean is more affected by extreme observations, because it takes into account the value of every observation in the data set, whereas the median only considers the middle value(s) and is therefore less sensitive to extreme values.
The standard deviation is more affected by extreme observations, because it takes into account the difference between each observation and the mean of the data set. A single extreme value can have a large impact on the mean, and therefore on the standard deviation.
On the other hand, the interquartile range (IQR) is less affected by extreme observations, because it only considers the range of the middle 50% of the data. The median and IQR are often used together to describe a data set that has extreme values or is not normally distributed.
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please help will mark brainliest!
Answer:
G because the sum of interior angles in a triangle is 180. 180-45-60=z
z=75
The measure of a straight angle is also 180 degrees. so w=180-z=180-75= 105
So w=105
>Some jellyfish have skeletons that are formed by fluid-filled compartments. This fluid resists compression and thus supports the body structure from deforming. Which term describes these skeletons
The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.
Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.
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if a > b, under what condition is | - | = a - b?
If a > b, then |a - b| = a - b if a - b is positive. This means that the distance from a - b to zero on the number line is equal to a - b itself. If a - b is negative, then |a - b| is equal to the opposite of a - b.
The absolute value of a - b is equal to a - b if a - b is positive because the absolute value of a number is the distance from that number to zero on the number line. So, if a is greater than b, then a - b is a positive number. Therefore, the distance from a - b to zero on the number line is equal to a - b.
The absolute value of a number is the distance from that number to zero on the number line. For example, the absolute value of 5 is 5 because the distance from 5 to 0 on the number line is 5 units. The absolute value of -5 is also 5 because the distance from -5 to 0 on the number line is also 5 units.
Now, let's look at the expression |a - b|. This means the absolute value of the difference between a and b. If a is greater than b, then a - b is a positive number. For example, if a = 10 and b = 5, then a - b = 5. So, |a - b| = |10 - 5| = |5| = 5.
However, we are looking for the condition under which |a - b| = a - b. This means that the absolute value of a - b is equal to a - b itself. This only happens when a - b is positive. Let's use the same example as before. If a = 10 and b = 5, then a - b = 5. In this case, a - b is positive, so |a - b| = |10 - 5| = |5| = 5, which is equal to a - b.
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Which of the following values are in the range of the function graphed below? Check all that apply
Answer:all
Step-by-step explanation:
Answer:1,2,3 are the answers.
Step-by-step explanation: picture
The coordinate -2 has a weight of 3, the coordinate 5 has a weight of 1, and the coordinate 6 has a weight of 1. Find the weighted average.
The weight average of the coordinates is 1
How to determine the weight average?The given parameters are:
Coordinate -2 has a weight of 3Coordinate 5 has a weight of 1Coordinate 6 has a weight of 1The weight average is then calculated as:
Weight average = Sum of (Weight * Coordinate)/Sum of Weights
So, we have:
Weight average = (-2 * 3 + 5 * 1 + 6 * 1)/(3 + 1 + 1)
Evaluate the quotient
Weight average = 1
Hence, the weight average of the coordinates is 1
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ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!
Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05
Answer:
Three 1.5-pound jars of honey for $13.05
Step-by-step explanation:
15.35/5 = 3.07
3x1.5=4.5
13.05/4.5 = 2.90
Write the number two and a half million in figures?
Answer:
2,500,000
Step-by-step explanation:
here's the answer
have a great day or night
i acedently piced the wrong answer can anyone tell me what is the corect answer
Answer:
your answer would be 2 hours cause you know its not gonna be neither of the 3 hour cause it says it lasted 3 hours and that was over time and the other 2 was wrong so the answer is 2 hours
URGENT PLZ HELP
What is the value of P?
A.45°
B.35°
C.125°
D.55°
Answer: B
Step-by-step explanation:
You have to find the supplement of each angle given to find the angles within the triangle. 180-90 = 90 and 180-125= 55. You then add those two numbers to get 145, and since the angles of a triangle add up to 180, you subtract 145 from 180 to get the answer, 35 degrees
Suppose a family has saved enough for a 10 day vacation (the only one they will be able to take for 10 years) and has a utility function U = V1/2 (where V is the number of healthy vacation days they experience). Suppose they are not a particularly healthy family and the probability that someone will have a vacation-ruining illness (V = 0) is 20%. What is the expected value of V?
Select one:
a. 10
b. 8
c. 2
d. 0
Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:
V = 0 (with probability 0.2, as given in the problem)
V > 0 but V < 10 (with probability 0.8 * (9/10), because if nobody gets sick, they will have at least 1 healthy vacation day, and if they have 1 healthy day, they can still have 9 more days of vacation)
V = 10 (with probability 0.8 * (1/10), because if nobody gets sick, they can have all 10 days of vacation)
Using the utility function, we can see that the expected value of V is:
E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)
E[V] = 0 + 0.36 + 0.8
E[V] = 1.16
Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.
What is the surface area of the triangular pyramid shown? Round to the nearest tenth. A triangular pyramid. The base has a base of 6 and a height of 4. A side has a base of 6 and height of 5.2. 2 sides have a base of 5 and height of 6.
57.6
69.6
73.2
87.6
please help me its for a quizz
Answer:
A 57.6
Step-by-step explanation:
I took the quiz
Answer:a
Step-by-step explanation:
if 200 group rooms are reserved and only 160 are ultimately occupied, the pick-up rate is group of answer choices 60% 70% 80% 90%
The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.
It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.
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What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x
Answer:
Step-by-step explanation:
(f.g)(x)=\(-3*(-3x)^{2}+3=-27x^{2}+3\)
The unpaid balance on a MasterCard charge was $1,056.23. During the month, payments of $300 and $250 were made and charges of $425 and $274.16 were added. If the finance charge is 1.2% per month on the unpaid balance, find the new balance at the end of the month.
$1,205.39
$1,218.06
$918.06
$1,768.06
Answer:
1218.06
Step-by-step explanation:
first multiply by the finance fees on unpaid balance :
1056.23*(1.2%)=12.674
then add the extra charges:
1056.23+12.674=1068.9
add the charges to the unpaid balance :
1068.9+425+274.16=1768.064
then subtract the payments: 1768.064-550 =1218.064
A contractor estimated that her expenses for a construction project would be between 700,000 and 750,000 .
She has already spent 496,000 . How much more can she spend and remain within her estimate?
To determine the contractor's remaining estimate, subtract the current spending from the upper limit of $750,000, resulting in $254,000. The contractor can spend up to $254,000 more while remaining within the estimate.
To find out how much more the contractor can spend and remain within her estimate, we need to subtract the amount she has already spent from the upper limit of her estimate.
Upper limit of the estimate: $750,000
Amount already spent: $496,000
To find out how much more she can spend, we subtract the amount already spent from the upper limit:
$750,000 - $496,000 = $254,000
Therefore, the contractor can spend up to $254,000 more and still remain within her estimate.
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solve the proportion 15/6 = 10/p
Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
Cross multiplyThis means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
Second stepNow, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
__
Additional comment
If the variable is in the numerator of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
__
For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
__
Any proportion can be written 4 ways:
\(\dfrac{a}{b}=\dfrac{c}{d}\ \Leftrightarrow\ \dfrac{a}{c}=\dfrac{b}{d}\ \Leftrightarrow\ \dfrac{b}{a}=\dfrac{d}{c}\ \Leftrightarrow\ \dfrac{c}{a}=\dfrac{d}{b}\)
This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4
Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term is cross multiplication. For given proportion 15/6 = 10/p. The value of P is 4.
What is a cross multiplication method?Multiply the numerator of one fraction to the denominator of other and denominator of the first term to the numerator of another term
The given proportion is 15/6 = 10/p.
We need to find the value of p.
15/6 = 10/p
Use cross multiplication method.
15p=6*10
15p=60
p=4
Therefore the value of p is 4 in equation 15/6 = 10/p obtained by using cross multiplication.
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Answer this question and show me how to check it
In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.
For the length, we have:
\(\begin{gathered} 8\cdot10^4 \\ =8\cdot10000 \\ =80000\text{ meters} \end{gathered}\)For the thickness, we have:
\(\begin{gathered} 5\cdot10^{-6} \\ =5\cdot0.000001 \\ =0.000005\text{ meters} \end{gathered}\)statistical power is a measure of the ability to reject the null hypothesis when:
Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.
A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.
Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.
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which of the following statements for a monopolistic competitor in long-run equilibrium is true? p > (atc = mc = mr). p = atc = mc = mr. p > atc > (mc = mr). (p = atc) > (mc = mr).
The correct statement for a monopolistic competitor in long-run equilibrium is: p = ATC = MC = MR. The correct answer is B.
In long-run equilibrium, a monopolistic competitor maximizes its profit by setting its marginal cost (MC) equal to its marginal revenue (MR) and producing the quantity where MC = MR. At this quantity, the firm charges a price (p) equal to the average total cost (ATC) to cover all its costs.
By setting the price equal to the average total cost and producing where marginal cost equals marginal revenue, the monopolistic competitor achieves a balance between maximizing profits and covering costs. This equilibrium condition ensures that the firm does not have the incentive to enter or exit the market in the long run, as it is earning normal profits.
Therefore, The correct answer is B. p = ATC = MC = MR.
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What is the correlation coefficient of these six data points? express your answer as a decimal, fraction, or simple mathematical expression. your fraction does not need to be reduced. x y 0 8 1 11 3 10 4 13 7 10 10 6
The correlation coefficient is -0.29.
Correlation refers to a process for establishing whether or not relationships exist between two given variables.
In statistics, correlation coefficients are used to quantify the strength of the association between two variables. Like Pearson's correlation, which is frequently employed in linear regression, there are other varieties of correlation coefficients. It is widely used in statistics and is highly well-liked.
X Y X² Y² XY
0 8 0 64 8
1 11 1 121 11
3 10 9 100 30
4 13 16 169 52
7 10 49 100 70
10 6 100 36 60
∑X = 25
∑Y = 58
∑X² = 175
∑Y²= 590
∑XY= 231
r = N×∑XY−(∑X∑Y) / √[N∑x2−(∑x)2][N∑y2−(∑y)2]
Putting all the values,
r = 6*231 - (25*58) / √(6*175-625)(6*590-3364)
r = 1368 - 1450 / √(425)(176)
r = -82/ √ 74800
r = -82/ 273.49
r= -0.29
Therefore, the correlation coefficient is -0.29.
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Let a function
of 2 variables be defined by h(x, y) = x² + 3xy-(y-x), what is the value of h(5,4)
The value of h(5,4) is 86 in the given function h(x, y) = x² + 3xy-(y-x)
What is a function ?
function can be defined as the relation in which it relates an input to the output.
Given ,
Let a function of 2 variables be defined by
h(x, y) = x² + 3xy-(y-x),
So, the value of h(5,4)
put x = 5 and y = 4 in the function h(x, y) = x² + 3xy-(y-x)
h (5,4) = 5*5 + 3*5*4 - (4-5)
h(5,4) = 25 + 60 - (-1)
h(5,4) = 25+60+1
h(5,4) = 86
Hence, The value of h(5,4) is 86
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r
–4=-3+
+
10
Answer?
Answer:
r = 11
Step-by-step explanation:
Is the question
r - 4 = - 3 + 10
So what's r
r - 4 = -3 + 10 Combine the right
r - 4 = 7 Add 4 to both sides
r - 4 + 4 = 7 + 4
r = 11
what single value is the best estimate of the population proportion of yellow peas?
The best estimate of the population proportion of yellow peas is the sample proportion, but we need to calculate the margin of error using a confidence interval to be confident in our estimate.
In statistics, a population proportion is the percentage of individuals in a given population with a certain characteristic. The best estimate of the population proportion is the sample proportion. This is because it is not feasible to collect data from the entire population, so we rely on a sample to estimate the proportion.
The larger the sample size, the more accurate the estimate of the population proportion will be.The sample proportion is calculated by dividing the number of individuals in the sample with the desired characteristic by the total number of individuals in the sample.
For example, if we want to estimate the proportion of yellow peas in a population and we sample 100 peas, and find that 25 of them are yellow, then the sample proportion would be 25/100 or 0.25.
This means that we estimate that 25% of the population is yellow peas. However, we need to be careful when interpreting this estimate.
We need to calculate the margin of error to determine how confident we are in our estimate. We can do this using a confidence interval. A confidence interval is a range of values that is likely to contain the true population proportion with a certain degree of confidence.
For example, a 95% confidence interval for the proportion of yellow peas might be 0.20 to 0.30.
This means that we are 95% confident that the true proportion of yellow peas in the population is between 0.20 and 0.30.
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Given: x - 6 ≤ 1. choose the solution set. {x | x r, x ≤ 5 } {x | x r, x ≤ 7 } {x | x r, x ≤ 7 }
The Solution set for the inequality x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\) is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)} , the correct option is (a) .
In the question ,
the inequality is given as
x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\)
we first convert the complex fractions into normal fractions ,
\(6\frac{1}{3}\) = (6 * 3 + 1)/3 = 19/3
and \(1\frac{1}{2}\) = (1 * 2 + 1)/2 = 3/2
rewriting the given inequality , we get
x - 19/3 ≤ 3/2
adding 19/3 to both sides of the equation ,
we get ,
x ≤ 19/3 + 3/2
Taking LCM of 3 and 2 as 6 and
Simplifying further ,
we get ,
x ≤ 38/6 + 9/6
x ≤ 47/6
x ≤ \(7\frac{5}{6}\)
Therefore , the solution set is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)} .
The given question is incomplete , the complete question is
Given: x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\) . Choose the solution set.
(a) {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}
(b) {x | x ∈ R, x ≤ \(7\frac{2}{5}\)}
(c) {x | x ∈ R, x ≤ \(5\frac{1}{6}\)}
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Prove everything you say and please have a readable handwritting. Prove that the set X c R2(with Euclidean distance is defined as: See Pictureconnected,but not path connected (X is connected,that is,it cannot be divided into two disjoint non-empty open sets.) X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1} Prove that the set X C R2(with Euclidean distance) is connected,but not path connected X
X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.
To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.
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Mr. Miller is teaching his students about the volume of rectangular prisms. He writes the formula volume = length × width × height on the board and tells his students to get to work. He notices two of his students arguing over which leg represents length and which represents width. What should he do?
Select all answers that apply.
Mr. Miller should clarify the difference between length and width and how they relate to the dimensions of a rectangular prism. He could use visual aids or examples to help his students understand the concept better.
Mr. Miller should:
1. Explain to his students that the terms length, width, and height in the formula for the volume of rectangular prisms can represent any of the three dimensions, as long as they are consistent throughout the calculation.
2. Remind his students that the volume of a rectangular prism can be calculated by multiplying its three dimensions (length, width, and height) together, regardless of the order.
3. Encourage his students to focus on understanding the concept of volume and how it relates to the dimensions of rectangular prisms, rather than getting caught up in the specific labels of the dimensions.
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Find the area of the square ABCD. Need green and grey box! Please help me! Sorry for the bad quality lol
aye if all give me the answer to this ill give u 100 points
Answer: https://mathantics.com/
Step-by-step explanation: use that I hope it helps
Answer:
sides of square are equal so,
2w+2=w+20
2w - w = 20 - 2
w = 18
If you flip two coins 76 times, what is the best prediction possible for the number of times both coins will land on tails?
Answer:
38 times
Step-by-step explanation:
A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)
Hope this helps :)
Answer:
Step-by-step explanation:
19
Use technology or a z-distribution table to find the indicated area.
The scores on a standardized exam are normally distributed with a mean of 450 and a standard deviation of 40.
Approximately 35% of the scores are greater than which score?
Approximately 35% of the scores are greater than 465.4.
How to obtain probabilities using the normal distribution?
The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 450, \sigma = 40\)
35% of the scores are greater than the 100 - 35 = 65th percentile, which is X when Z = 0.385, hence:
0.385 = (X - 450)/40
X - 450 = 0.385 x 40
X = 465.4.
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