Help me on this question please!

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.

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.

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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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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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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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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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The mean mark obtained by 5 girls is 38. Mark obtained by the new girl added is 62.

Let the mark obtained by the new girl be x.

Given, the mean mark obtained by 5 girls is 38.

So, the total marks obtained by the 5 girls = 5 * 38 = 190.

When the mark of the new girl is added, the mean mark increases to 40.

So, the total marks obtained by all the 6 girls = 6 * 40 = 240.

Therefore, the mark obtained by the new girl = Total marks obtained by all 6 girls - Total marks obtained by 5 girls

= 240 - 190

= 50.

Therefore, the mark obtained by the new girl added is 60.

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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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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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The value of the variables are;

x =21

y = 16. 5

First, we need to know the properties of a parallelogram. They include;

Then, from the information given, we have that;

3x = 63

Make 'x' the subject of formula, we have;

x = 63/3

Divide the values

x= 21

Also,

4y - 1 = 65

collect like terms

4y = 66

y = 16 .5

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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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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.

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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(D)To represent an inequality on a graph, follow these steps:

Identify the type of inequality. Is it a greater than or equal to (> or =), less than or equal to (< or =), greater than (>), or less than (<) inequality?

Rewrite the inequality in slope-intercept form, y = mx + b, if it is not already in that form.

Graph the equation of the line y = mx + b on the coordinate plane using the y-intercept (b) and the slope (m).

Choose a test point that is not on the line. You can use any point that is convenient to you.

Substitute the x and y values of the test point into the original inequality. If the inequality is true, shade the region of the graph that contains the test point. If the inequality is false, shade the region of the graph that does not contain the test point.

If the inequality is greater than or equal to, shade the region above the line. If the inequality is less than or equal to, shade the region below the line. If the inequality is greater than, shade the region above the line but do not include the line. If the inequality is less than, shade the region below the line but do not include the line.

Label the shaded region with the inequality symbol.

Remember that the line itself is included in the graph if the inequality is greater than or equal to or less than or equal to, but not included if the inequality is greater than or less than.

Answer:

{-3, -∞)

Step-by-step explanation:

The range of a function is how far the y goes up or down of a function goes.

We see the function start at -3 and go forever. So, the range of the functions is {-3, -∞)

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

The slope of the line that passes through the points (0, 1) and (3, 7) include the following: D. 2.

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope) = rise/run

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

Rate of change (slope) = (7 - 1)/(3 - 0)

Rate of change (slope) = 6/3

Rate of change (slope) = 2.

Based on the data points, the rate of change is the change in y-axis with respect to the x-axis and it is equal to 2.

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Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.

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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.

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°

If the sample proportion is greater than 0.494 (i.e., if [tex]\hat{p}[/tex]  > 0.494), then there is sufficient evidence to substantiate the publisher's claim that above 41% of their readers own a personal computer at the 0.10 level of significance.

To determine if there is sufficient evidence to substantiate the publisher's claim that above 41% of their readers own a personal computer, a hypothesis test can be conducted.
Let p be the proportion of readers who own a personal computer.

The null hypothesis is that p ≤ 0.41, and the alternative hypothesis is that p > 0.41.
Assuming a random sample of readers, with a sample size n, let x be the number of readers in the sample who own a personal computer.

The sample proportion, [tex]\hat{p}[/tex], is given by x/n.
Under the null hypothesis, the sampling distribution of [tex]\hat{p}[/tex], is approximately normal with a mean of 0.41 and a standard deviation of sqrt(0.41*(1-0.41)/n).
Using a significance level of 0.10, the critical value from a standard normal distribution is 1.28 (since the alternative hypothesis is one-tailed).
To conduct the hypothesis test, calculate the test statistic[tex]z = (\hat{p}  - 0.41) / \sqrt{(0.41*(1-0.41)/n) }[/tex]
If z > 1.28, then the null hypothesis can be rejected in favor of the alternative hypothesis at the 0.10 level of significance.

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We can use a priority queue to keep track of the k most frequent strings. The priority queue should be sorted by the frequency of the strings, and in case of ties, we should sort by lexicographical order.

Here's the step-by-step algorithm to solve the problem:

1. Create a hash map to count the frequency of each string in the array.
2. Create a priority queue and define a custom comparator function that compares strings based on their frequency and lexicographical order.
3. Iterate over the keys of the hash map and add each string to the priority queue.
4. Pop the top k strings from the priority queue and add them to the result array.
5. Return the result array sorted in descending order of frequency.

Here's the Python code that implements this algorithm:

```
import heapq
from collections import defaultdict

def topKFrequent(words, k):
   freq = defaultdict(int)
   for word in words:
       freq[word] += 1
   
   pq = []
   for word, count in freq.items():
       heapq.heappush(pq, (-count, word))
   
   res = []
   for i in range(k):
       res.append(heapq.heappop(pq)[1])
   
   return sorted(res, key=lambda x: (-freq[x], x))
```

In this code, we use a defaultdict from the collections module to count the frequency of each string. We then use a heap (implemented as a list) to keep track of the k most frequent strings. The -count value is used as the first element of each tuple in the heap, so that we can sort the strings by frequency in descending order. The second element of each tuple is the string itself, which is used to break ties in case of equal frequency. Finally, we sort the result array based on the frequency and lexicographical order using the sorted function and a lambda function.

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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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Answer:

9.44 feet).

Step-by-step explanation:

To find the side length of the wall, we need to divide the total area of the wallpaper used by the number of sides. Since it is a square wall, we can assume that all sides are equal. Therefore, the total area of the wall would be 150.5 ft^2, which we can divide by 4 (for four equal sides). Thus, the side length of the wall would be approximately 9.44 feet (150.5/4 = 37.625, which is the length of one side, and 37.625/4 = 9.40625, which rounds off to 9.44 feet).

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!

Answer:

42 sheet of paper

Step-by-step explanation:

$7.84 divided by $0.16

This equals 42

After spending 7 dollars and 84 cents, 42 sheets of paper will be sold.

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?​

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

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

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.

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 that the computer will pick a human character is 3/7

The probability that when the computer randomly selects his character, it will pick a human character is calculated using the formula below:

The 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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