The probability of rolling a 1 with this loaded die is 1/9.
Let's first assign probabilities to the possible outcomes of rolling the die:
There are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5) on a standard six-sided die.
Since rolling an even number is twice as likely as rolling an odd number, we can assign probabilities as follows:
P(2) = P(4) = P(6) = 2x
P(1) = P(3) = P(5) = x
Now, we need to remember that the total probability of all outcomes must add up to 1:
P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + 2x + x + 2x + x + 2x = 9x
Since the total probability is 1, we can write the equation:
9x = 1.
Now, we can solve for x:
x = 1/9
Since we want the probability of rolling a 1, we just use the value of x:
P(1) = x = 1/9.
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The __________ option in Excel Solver is helpful when the solution to a problem appears to depend on the starting values for the decision variables.
The "Assume Non-Negative" option in Excel Solver is helpful when the solution to a problem appears to depend on the starting values for the decision variables.
This option is particularly useful when working with linear programming problems where the solution depends on the values of the decision variables, and there is no clear starting point.
The "Assume Non-Negative" option instructs Solver to assume that all decision variables have non-negative values. This means that the solution will only be searched for in the non-negative space, which can help to narrow down the solution space and make the search more efficient.
In other words, Solver will not search for solutions that violate the non-negative constraint, which can save time and computational resources.
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Solve for θ in the interval [0, 2π)
sinθ + 1 = cosθ
hint: square and convert to quadratic type
The only solutions for the equation in the interval [0, 2π) are θ = 0, and π.
We have,
We can start by squaring both sides of the equation:
(sinθ + 1)² = cos²θ
Expanding the left side:
sin²θ + 2sinθ + 1 = 1 - sin²θ
Simplifying:
2sin²θ + 2sinθ = 0
Factor out 2sinθ:
2sinθ(sinθ + 1) = 0
This gives us two possible solutions:
sinθ = 0 or sinθ = -1
For the first solution,
sinθ = 0
θ = 0, π
For the second solution,
sinθ = -1, which is not possible since the sine function has a maximum value of 1 and a minimum value of -1.
Therefore,
The only solutions in the interval [0, 2π) are θ = 0, and π.
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Calculate the value of the standard normal random variable z, call it z0, such that a) P (z ≤ z0 ) = 0.7090
The value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.
To calculate the value of the standard normal random variable z (z0), we need to use a standard normal distribution table or a calculator that can compute standard normal probabilities such that P(z ≤ z0) = 0.7090, follow these steps:
1. Identify the given probability: P(z ≤ z0) = 0.7090.
2. Look up the given probability in a standard normal distribution table or use an online calculator or software.
3. Find the corresponding z-score (z0) for the given probability.
Using a standard normal distribution table or an online calculator, the corresponding z0 value for P(z ≤ z0) = 0.7090 is approximately 0.54. Therefore, the value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.
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If we fail to reject the null hypothesis after performing an ANOVA, it means that the between group variability _________________. a. could not be measured.
b. was bigger than the within group variability
c. was the same size as the within group variability.
d. was zero
The correct option is c. was the same size as the within group variability, because the between-group variability was not significantly larger than the within-group variability.
How do you interpret the results of an ANOVA?In ANOVA (analysis of variance), the null hypothesis assumes that the means of all groups are equal. On the other hand, the alternative hypothesis suggests that at least one of the group means is different from the others.
If we perform an ANOVA and fail to reject the null hypothesis, it means that we do not have enough evidence to conclude that the means of the groups are significantly different. In other words, the variation between the group means is not significantly larger than the variation within the groups.
This implies that the between-group variability (i.e., variation in means between different groups) is similar in magnitude to the within-group variability (i.e., variation in observations within each group).
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The probability of event E2
​occurring, given that event E1
has happened is called​ a(n) _______ probability.
The probability of event E2 occurring, given that event E1 has happened is called a conditional probability. This type of probability is denoted by P(E2 | E1), which reads as "the probability of E2 given E1."
Conditional probability helps to calculate the probability of an event that depends on the occurrence of another event. For example, consider the following scenario: A company has two factories, and each factory produces a different type of product. The probability of a defective product from factory 1 is 0.05, and the probability of a defective product from factory 2 is 0.03.
Suppose a customer buys a product, and it is known that the product came from factory 1. What is the probability that the product is defective? To solve this problem, we use conditional probability. Let E1 be the event that the product came from factory 1, and E2 be the event that the product is defective.
Then, we want to find P(E2 | E1), which is the probability of the product being defective given that it came from factory 1. Using the formula for conditional probability, we get:
P(E2 | E1) = P(E1 and E2) / P(E1)
= (0.05 x 1) / 0.5
= 0.1
Therefore, the probability of the product being defective given that it came from factory 1 is 0.1 or 10%.
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Consider the line in the coordinate plane that passes through the point (-7, -3) and the origin. Find the slope of a line perpendicular to the line described.
A) -1/3
B) -3/7
C) -7/3
D) 3/7
The line passing through (-7, -3) and the origin has a slope of 3/7. A line perpendicular to it has a slope of -7/3.
The line passing through the point (-7, -3) and the origin has slope equal to the ratio of the change in the y-coordinate to the change in the x-coordinate as we move from the origin to the point (-7, -3). This is given by:
slope = (change in y-coordinate) / (change in x-coordinate)
= (-3 - 0) / (-7 - 0)
= 3/7
So the slope of the given line is 3/7.
A line perpendicular to this line will have a slope that is the negative reciprocal of 3/7. That is,
slope of perpendicular line = -1 / (3/7) = -7/3
Therefore, the answer is (C) -7/3.
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A fruit market equally divided 80 red apples into 8 containers, and equally divided 54 green apples into 6 containers. Natalie bought 1 container of red apples and 1 container of green apples.
Which equation could be used to find n, the total number of apples Natalie bought? pls hurry my brother is in a test is it
A.(80+54) divided by (8+6)=n
B.80x8+54x6=n
C.80 divided by 6 + 54 divided by 8=n
D. (I think this is the right one) 80 divided by 8 + 54 divided by 6=n
The equation that represents the total number of apples Natalie bought will be n = 80 / 8 + 54 / 6. Then the correct option is D.
A fruit store divided 54 green apples equally into six containers and 80 red apples equally into eight containers. One container of red and green apples was purchased by Natalie.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Let 'n' be the total number of apples Natalie bought. Then the equation is given as,
n = 80 / 8 + 54 / 6
Thus, the correct option is D.
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Isaac and Victorio share money in the ratio Victorio receives £6. 60 work out the difference
The difference in the amount received by Victoria and Isaac is £3.96
Data obtained from the question include:
Isaac's ratio = 2
Victoria's ratio = 5
Total ratio = 2 + 5 = 7
And, Amount Victoria receive = £6.60.
Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:
Let T be the total amount of money shared.
Victoria received = £6.60
Victoria's share =
Victoria's ratio/total ratio x total amount
£6.60 = 5/7 x T
£6.60 = 5T/7
Cross multiply;
5T = £6.60 x 7
5T = £46.2
Divide both side by 5
T = £46.2/5
T = £9.24
Therefore, the total amount shared is £9.24.
Next, we shall determine the amount received by Isaac. This is illustrated below:
Victoria's share = £6.60
Total amount shared = £9.24.
Isaac's share =?
Isaac's share = Total amount shared – Victoria's share
Isaac's share = £9.24 – £6.60
Isaac's share = £2.64
Therefore, Isaac received £2.64
Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:
Victoria receive = £6.60
Isaac receive = £2.64
Difference = £6.60 – £2.64
Difference = £3.96
Therefore, the difference in the amount received by Victoria and Isaac is £3.96
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Complete question is,
Isaac and Victoria share money in the ratio 2 : 5 Victoria recieve £6.60
work out the difference between how much money Isaac and Victoria receive?
Causation (Does the change in one variable CAUSE the change in the other or is there another reason?)
Causation refers to the relationship between two variables, where a change in one variable directly causes a change in the other. In research and data analysis, determining causation is critical to understand the true nature of the relationship between variables and make accurate predictions or informed decisions.
To establish causation, three criteria must be met: correlation, temporal precedence, and elimination of alternative explanations. Correlation is the observation of a consistent relationship between the variables. Temporal precedence ensures that the cause occurs before the effect. Elimination of alternative explanations means ruling out other factors that might explain the observed relationship.
In many situations, correlation can be mistaken for causation, leading to false conclusions. For example, if two variables, A and B, are correlated, it is possible that A causes B, B causes A, a third variable C causes both A and B, or the relationship is merely coincidental. Thus, it is crucial to investigate the underlying factors and mechanisms that drive the relationship between variables before drawing conclusions about causation.
In summary, causation implies that a change in one variable directly leads to a change in another variable. To determine causation, researchers must establish correlation, temporal precedence, and eliminate alternative explanations. Understanding causation is essential for accurate predictions, informed decisions, and advancing knowledge in various fields of study.
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You own 8 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the rack ends up in alphabetical order
The likelihood that the CD rack will be organized alphabetically is 1 in 28.
The first step is to count all conceivable arrangements.
Use combinations if you want to organize 6 of the 8 CDs. Combinations can be calculated using the formula C(n, r) = n! / [r!(n - r)!!], where n denotes the total number of items and r denotes the number of items being selected. Here, n = 8 and r = 6, respectively.
C(8, 6) = 8! / [6!(8 - 6)!] = 8! / [6!2!] = 28
The six CDs can therefore be organized in 28 different ways.
Step 2: Count how many configurations lead to an alphabetical order.
When they are placed precisely in that sequence, there is only one configuration in which the CDs are organized alphabetically.
3. Determine the likelihood.
Probability equals the product of the number of successful outcomes and the total number of conceivable outcomes.
Probability equals 1/28
You want to put 6 of the 8 CDs you have in this issue in a CD rack. We discover that there are 28 different possible arrangements using combinations. Only one of these configurations causes the CDs to be arranged alphabetically. As a result, there is a 1/28 chance that the CD rack will be organized alphabetically.
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On a multiple-choice exam, there are 4 possible answers to each of 47 questions. Each question has only one correct answer. A student has not studied and must guess the answer to each question (you may assume that the guesses are independent of each other). The mean number of correct guesses that the student can expect is
An estimation can be made that a student relying purely on guessing can achieve a score of approximately 11 or 12 correct responses in the examination.
How to solve the Probability?Considering the availability of four plausible choices for each query, the probability of untargeted guessing to yield a correct answer for any given question is a quarter (1/4).
It is notable that, in light of the mutual exclusivity and independence of the guesses, the number of accurate predictions can be effectively represented through a binomial distribution. Within this framework, the probability of success (p) is equated to 1/4, while the sample size (n) is 47.
The arithmetical representation of the average of a binomial distribution characterized by variables n and p is np, attained through conventional statistical principles. Consequently, it is possible to formalize the expected value of the aggregate quantity of precise suppositions that a pupil is capable of generating as follows:
The calculation of the mean value of a numerical dataset can be represented by the symbol 'mean'. This value can be determined by multiplying the total number of observations contained within the dataset, denoted by 'n', by the probability of a specific event taking place, referred to as 'p'. In the present scenario, presuming the value of n to be 47 and p to be 1/4, the arithmetic mean of the dataset can be ascertained as 11.75.
Drawing on statistical probabilities, it is possible to approximate that a student who relies solely on chance to answer the examination questions may attain a score of roughly 11 or 12 correct responses.
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Which best proves why the expressions 4(x+3)+2x and 6(x+2) must be equivalent expressions?
When x-3, both expressions have a value of 30
When x-
5, both expressions have a value of 42
When x-1, both expressions have a value of 18, and when x-8, both expressions have a value of 60.
O When x-2, both expressions have a value of 15, and when x-6, both expressions have a value of 39.
Answer + Step-by-step explanation:
Two algebraic expressions are equivalent if they always lead to the same result when you evaluate them, no matter what values you substitute for the variables. To check whether a more complex expression is equivalent to a simpler expression, you can distribute any coefficients and combine any like terms on each side of the equation. Then arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent
In this case, we can see that when x-3, both expressions have a value of 30; when x-5, both expressions have a value of 42; when x-1, both expressions have a value of 18; when x-8, both expressions have a value of 60; and when x-2, both expressions have a value of 15; and when x-6, both expressions have a value of 39 https://the-equivalent.com/expressions-are-equivalent/. Therefore, we can conclude that these two expressions are equivalent
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of randomly selected adults showed that % of them would erase all of their personal information online if they could. Find the value of the test statistic.
The null hypothesis and conclude that the percentage of adults who would erase all of their personal information online if they could is significantly different from 50%.
The test statistic for the claim that most adults would erase their personal information online if they could.
Based on the information provided.
It seems that a software firm conducted a survey of randomly selected adults, and we need to determine the percentage and test statistic.
To calculate the test statistic, you can use the formula for a one-sample proportion z-test.
Here,
P is the sample proportion (percentage from the survey),
p is the null hypothesis proportion (0.5, as "most" implies more than 50%), and
n is the sample size (number of adults surveyed).
Once you have the percentage from the survey and the sample size, you can plug in those values into the formula to find the test statistic (z).
This value will help you determine if there's enough evidence to support the claim that most adults would erase their personal information online if they could.
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derstand and Determine Simple Probability
In a video game, the player can choose a character from 4 animal characters and 3 human characters. Players can also let the
computer randomly select a character for them.
The player will have the computer randomly select his character.
What is the probability it will pick a human character?
Enter your answer as a fraction in simplest form in the box.
Basic
7
8
9
y
x²
VÕ
L
G
The probability that the computer will pick a human character is 3/7
What is the probability?The probability that when the computer randomly selects his character, it will pick a human character is calculated using the formula below:
Probability of human character = number of human characters / total number of charactersThe number of human characters = 3
The total number of characters = 7
Let the probability of picking a human character be P(human character).
P(human character) = 3/7
Therefore, the probability that the computer will pick a human character is 3/7
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Express the following numerically: the difference of sixty-four and twelve then divided by 3.
Responses
A 64 – 12 ÷ 364 – 12 ÷ 3
B (64 – 3) ÷ 12(64 – 3) ÷ 12
C (64 – 12) ÷ 3(64 – 12) ÷ 3
D 64 ÷ 3 – 12
The correct expression is (64 - 12) ÷ 3, which simplifies to 52 ÷ 3. The correct option is C.
The problem is asking us to find the numerical value of an expression that involves subtraction and division. The expression is "the difference of sixty-four and twelve then divided by 3."
To solve this, we first need to find the difference of 64 and 12, which is 52. So the expression now becomes "52 divided by 3".
To evaluate this expression, we simply divide 52 by 3 and get the answer, which is approximately 17.33.
Therefore, the correct option is C. The expression will be (64 – 12) ÷ 3.
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hellp 7 i need hellp
The value of Circumference of circle is,
C = 56.22 cm
We have to given that;
The radius of circle is,
⇒ r = 9 cm
Now, We know that;
Circumference of circle is,
⇒ C = 2πr
Here, r = 9 cm
Hence,
C = 2 x 3.14 x 9
C = 56.22 cm
Thus, The value of Circumference of circle is,
C = 56.22 cm
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if (5x+2)^2 = ax^2 -bx +c, what is the value of a + c^2
The value of the equation a + c² is 41.
We have,
We can start by expanding the left side of the given equation using the formula for the square of a binomial:
(5x+2)²
= (5x+2) (5x+2)
= 25x² + 20x + 4
Comparing this to the right side of the given equation, we see that a = 25, b = -20, and c = 4.
= a + c²
= 25 + 4²
= 25 + 16
= 41
Thus,,
The value of a + c² is 41.
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Eight equal-strength players, including Alice and Bob, are randomly split into pairs, and each pair plays a game, resulting in four winners. Find the probability that: both Alice and Bob will be among the four winners,
The probability that both Alice and Bob will be among the four winners is approximately 0.536 or 53.6%.
Count the total possible pairings.
There are 8 players, and they are split into pairs.
So, the number of possible pairings is 8C2 (combinations), which is 8! / (2! * (8 - 2)!) = 28.
Count the pairings in which Alice and Bob are among the winners.
If Alice and Bob are both among the four winners, they must be paired with different opponents.
In this case, Alice has 6 possible opponents (excluding Bob), and after Alice's pairing, Bob has 5 possible opponents. So there are 6 * 5 = 30 possible pairings where Alice and Bob are both among the winners.
However, we have counted each valid pairing twice, once for Alice and once for Bob. To correct this, we need to divide the number of valid pairings by 2: 30 / 2 = 15.
Calculate the probability.
The probability that both Alice and Bob are among the four winners is the ratio of the number of valid pairings to the total number of possible pairings:
Probability = (Number of valid pairings) / (Total possible pairings) = 15 / 28 ≈ 0.536.
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8. The average number of free throws a basketball player can make consecutively during practice is modeled by the function f(x) = 1 + 1. 3ln(x + 1) , where x is the number of consecutive days the player has practiced for hour. After how many days of practice can the basketball player make an average of five consecutive free throws? Round your answer to the nearest whole number of days
Rounding to the nearest whole number, after approximately 8 days of practice, the basketball player can make an average of five consecutive free throws.
To find the number of days of practice needed to make an average of five consecutive free throws, we need to solve the equation:
f(x) = 5
Substituting the function f(x) = 1 + 1.3 ln(x + 1), we get:
1 + 1.3 ln(x + 1) = 5
Subtracting 1 from both sides of the equation:
1.3 ln(x + 1) = 4
Dividing both sides by 1.3:
ln(x + 1) = 4/1.3
Using the properties of logarithms, we can rewrite the equation as:
x + 1 = e^(4/1.3)
x + 1 ≈ 8.5539 (approximating to the nearest four decimal places)
Subtracting 1 from both sides:
x ≈ 7.5539
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if a=3x+2 and b=-5+6x then ab equals
Answer:
18x² - 3x - 10
Step-by-step explanation:
a = 3x + 2
b = -5 +6x
To find ab use FOIL method.
ab = (3x + 2) (-5 + 6x)
= 3x *(-5) + 3x*6x + 2*(-5) + 2*6x
= -15x + 18x² - 10 + 12x
= 18x² - 15x + 12x - 10
Combine co-efficient of like terms. Like terms have same variable with same power. Here, (-15x) and 12x are like terms.
= 18x² - 3x - 10
Suppose GRE Analytical Writing scores are normally distributed with a mean of 3.8 and a standard deviation of 0.8. A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission
The minimum score required for admission to the university is 3.6.
To find the minimum score required for admission to the university, we need to determine the GRE score that corresponds to the 40th percentile of the distribution.
First, we need to find the z-score that corresponds to the 40th percentile. We can use a standard normal distribution table or a calculator to find this value.
Using a standard normal distribution table, we can look up the z-score that corresponds to a cumulative area of 0.40, which is approximately 0.25.
The z-score corresponding to a cumulative area of 0.25 is -0.25.
Next, we can use the formula for transforming a z-score to a raw score:
z = (x - mu) / sigma
where:
z is the z-score (-0.25 in this case)
x is the raw score we want to find
mu is the mean of the distribution (3.8 in this case)
sigma is the standard deviation of the distribution (0.8 in this case)
Solving for x, we get:
[tex]x = z\times sigma + \mu[/tex]
[tex]x = (-0.25)\times 0.8 + 3.8[/tex]
x = 3.6.
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what is the radian measure of an angle subtended by an arc of a circle with radius 4 cm if the intercepted arc has length 14 cm
The radian measure of the angle subtended by the arc of the circle with a radius of 4 cm and an intercepted arc length of 14 cm is 3.5 radians.
We are given the radius (r) of the circle and the length (L) of the intercepted arc, and we need to find the radian measure (θ) of the angle subtended by the arc.
Radius (r): 4 cm
Intercepted arc length (L): 14 cm
Radian measure formula: θ = L/r
Now, we'll plug in the values and calculate the radian measure of the angle:
θ = L/r
θ = 14 cm / 4 cm
θ = 3.5 radians.
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Find the exact probability (i.e. no approximations), of getting 18 or more heads in 25 tosses of a coin
The probabilities for all values of k (18 to 25), and then sum them up to find the exact probability of getting 18 or more heads in 25 tosses of a coin.
To find the exact probability of getting 18 or more heads in 25 tosses of a coin, we can use the binomial probability formula. The formula is:
P(X=k) = (n choose k) * [tex]p^{k} *(1-p)^{n-k}[/tex]
where P(X=k) is the probability of getting k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which is the number of ways to choose k successes out of n trials.
In this case, we want to find the probability of getting 18 or more heads in 25 tosses of a coin. The probability of getting a head on any one toss of a fair coin is 1/2, so p = 1/2. The total number of trials is 25, so n = 25. Therefore, we can calculate the probability as follows:
P(X ≥ 18) = Σ P(X=k) from k=18 to 25
= Σ (25 choose k) * [tex](\frac{1}{2} )^{25} *(\frac{1}{2} )^{25-k}[/tex] from k=18 to 25
Using a calculator or software, we can calculate each term of the sum and add them up. The exact probability of getting 18 or more heads in 25 tosses of a coin is approximately 0.035.
This means that out of all possible sequences of 25 coin tosses, only about 3.5% of them will have 18 or more heads.
In summary, to find the exact probability of getting 18 or more heads in 25 tosses of a coin, we can use the binomial probability formula.
The calculation involves finding the sum of several terms, which can be done using a calculator or software. The resulting probability is relatively low, indicating that getting 18 or more heads in 25 tosses of a coin is not a common occurrence.
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FILL IN THE BLANK. a z score must be ____ whenever it is located on the left half of the normal distribution
Answer:
A z score must be negative (-) whenever it is located on the left half of the normal distribution. This is because the left half of the normal distribution represents scores that are below the average (mean) of the distribution. A z score is a standard score that tells us how many standard deviations a particular score is from the mean. Thus, a negative z score indicates that the corresponding score is located below the mean of the distribution by a certain number of standard deviations. In contrast, a positive z score indicates that the corresponding score is located above the mean of the distribution by a certain number of standard deviations.
258. Working against a 1-km-per-hour current, some members of the Outing Club paddled 7 km up the Exeter River one Saturday last spring and made camp. The next day, they returned downstream to their standing point, aided by the same one-km-per-hour current. They paddled for a total of 6 hours and 40 minutes during the round trip. Use this information to figure out how much time the group would have needed to make the trip if there had been no current.
It would take the Outing Club approximately 142.9 hours to make the trip if there were no current.
We have,
distance = rate x time
To find the time it took for the Outing Club to paddle upstream against the current.
Since the speed of the current is 1 km/hr, the effective speed of the paddlers upstream would be their speed relative to the water minus the speed of the current.
Effective speed upstream
= paddling speed - 1 km/hr
Now,
7 = (paddling speed - 1) x t
where t is the time it took to paddle upstream.
t = 7 / (paddling speed - 1)
Similarly, for the downstream trip with the current, the effective speed of the paddlers would be their speed relative to the water plus the speed of the current.
Effective speed downstream = paddling speed + 1 km/hr
Using the formula.
7 = (paddling speed + 1) x (6 + 40/60)
where 6 + 40/60 represents the total time for the downstream trip.
Simplifying this equation.
7 = (paddling speed + 1) x 6.67
Now.
paddling speed = (7 / 6.67) - 1 = 0.049 km/hr
Finally, we can use the paddling speed to find the time it would take to paddle 7 km without the current:
7 = paddling speed x t
t = 7 / paddling speed
= 7 / 0.049
= 142.9 hours
Therefore,
It would take the Outing Club approximately 142.9 hours to make the trip if there were no current.
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If 5^3b-1 equals 5^B -3 what is the value of B?
• -2
• -1
• 1
• 2 
Answer:
b=-1
Step-by-step explanation:
set 3b-1 and b-3 equal to each other because they have the same base which is 5.
3b-1=b-3
2b=-2
b=-1
HELP
look at the picture it says what to do.
:)
The mean 5.0 (increases/decreases) by 7.0 (value of the outlier), the median 5.0 (stays the same/increases/decreases) by 0.0 (value of the outlier), and the mode is (stays the same/different) the same when the outlier is removed.
When the outlier is removed, the mean decreases by the value of the outlier (7), the median stays the same since the outlier was not part of the middle value, and the mode remains the same since there is no change in the value that appears most frequently.
Therefore, when the outlier is removed, the mean decreases by the value of the outlier (7), the median stays the same since the outlier was not part of the middle value, and the mode remains the same since there is no change in the value that appears most frequently.
To learn more about outliers, refer to:
https://brainly.com/question/3631910
#SPJ4
In ΔGHI, h = 820 inches,
�
m∠G=102° and
�
m∠H=10°. Find the length of g, to the nearest inch.
Answer: g = 4619 in
Step-by-step explanation:
Using law of sine
where
[tex]\frac{a}{sin A} =\frac{b}{sin B}[/tex] Ths means the length of a side over the angle opposite that side= the length of another side over that opposite side
here h and <H are together and
g is with<G
[tex]\frac{820}{sin 10} =\frac{g}{sin 102}[/tex] bring sin 102 to other side and plug into calc
[tex]g=\frac{820 * sin102}{sin 10}[/tex]
g=4619 in this makes sense because <G is way bigger than <H, so it's corresponding side will be way bigger too.
Which angle in the figure is a right angle?
1: ∠STU
2: ∠TSR
3: ∠TUS
4: I don't know.
Answer:
TUS
Step-by-step explanation:
The angle parallel has the square that indicates its a right angle - parallel angles have the same number
Answer:
3: ∠TUS
Step-by-step explanation:
line measures 180°
so < U + <TUS =180°................ < U = 90°
< U + <TUS =180°................ < U = 90° 90° + <TUS = 180°
< U + <TUS =180°................ < U = 90° 90° + <TUS = 180° <TUS = 90°
Please help! I do not understand this.
Answer:
A
Step-by-step explanation:
First, find the slope using the slope formula.
27/7-11/7=16/7
-1-3=(-4)
16/7 divided by (-4) = (-4/7)
Now substitute the values in to find the slope-intercept.
y=mx+b
27/7=(-4/7)(-1)+b
27/7=4/7+b
23/7=b
The seven is a bit annoying at first, but you can ignore it and continue working through the equation. Eventually, the seven will cancel out.
Hope this helps and good luck on your homework!
