Describe three different ways you can determine that an angle is a right angle.

A psychologist is most likely to calculate z scores in order to locate the position of a particular score in a distribution of scores. Correct option is A.

A z score is a statistical measure that tells how many standard deviations a score is from the mean of a distribution. It is often used to standardize scores across different measurement scales or metrics, allowing for meaningful comparisons between scores that may not be directly comparable.

By calculating a z score for a particular score in a distribution, a psychologist can determine how far that score is from the mean of the distribution in standard deviation units.

This can provide important information about the relative position of that score in the distribution, and can be used to make inferences about the probability of obtaining that score or higher/lower scores in the distribution.

Therefore, correct option is A.

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Complete question is:

A psychologist is most likely to calculate z scores in order to

A) locate the position of a particular score in a distribution of scores

B) compare the skew of two different distributions        

C) determine how far above or below the median a score is.      

D) determine the shape of a distribution of scores.  

E) compare scores obtained from two different measurement scales (or metrics)  

If demand has averaged 6105 units with a standard deviation of 243. the company currently has 6647 units in stock ,the service level is approximately 1.28%, which is option b.

To calculate the service level, we need to determine the probability that the demand does not exceed the available stock. We can use the Z-score formula to calculate this probability.

Given:

Average demand (μ) = 6105 units

Standard deviation (σ) = 243 units

Available stock (X) = 6647 units

First, we calculate the Z-score using the formula:

Z = (X - μ) / σ

Substituting the values, we get:

Z = (6647 - 6105) / 243

Z = 542 / 243

Z ≈ 2.231

Next, we need to find the corresponding probability using the Z-table or a statistical calculator. The Z-score of approximately 2.231 corresponds to a probability of approximately 0.988.

Since we are interested in the probability that the demand does not exceed the available stock, we subtract the obtained probability from 1:

1 - 0.9882 = 0.0128

Converting the probability to a percentage, we get 0.012 * 100 = 1.28%.

Therefore, correct option is B.

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If the correlation between two variables is positive, then it indicates that when one variable increases so does the other variable.

Slope is an important concept in mathematics and is used to describe the steepness or direction of a line or linear equation. It is the ratio between the vertical and horizontal change in the equation, and is represented by the letter m. Slope can also be used to describe the rate of change of a function. Slope is an important concept in calculus, physics, and engineering. It is used to understand how different forces will affect a system and how various objects move in relation to each other.
In this case, the slope of the linear model that is formed from the two variables will also be positive. This means that the variables are positively associated, meaning the linear model will have a positive slope.

When the two variables have a positive correlation, the linear model will generally be upward sloping, which means that when one variable increases, the other variable will also increase. This indicates that the two variables are positively associated. For example, the number of hours studied and the grade achieved in an exam may have a positive correlation. As the student studies more, their grade will likely increase.

Conversely, if the correlation between two variables is negative, then the slope of the linear model will be negative. This means that the variables are inversely associated, meaning that when one variable increases, the other variable decreases. In this case, the linear model will generally be downward sloping, with the two variables having a negative association.

Overall, when the correlation between two variables is positive, the slope of the linear model will also be positive. This indicates that the two variables are positively associated, meaning that when one variable increases so does the other. Conversely, if the correlation is negative, then the slope of the linear model will be negative, indicating that the two variables are inversely associated.

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The volume of the prism to the nearest tenth is; 274.5

A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:

Volume = Base area * height

Using Pythagoras theorem, we can find the other leg of the base. Thus;

x/4 = tan 65

x = 4 * tan 65

x = 8.578

Thus;

Volume of prism = (4 * 8.578) * 8

= 274.5

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Answer:

the length of the rectangle is 25

\(\huge{\textbf{\textsf{{\color{navy}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

let length of the rectangle be x

so, from the question

\( \frac{5}{6} = \frac{x}{30} \\ \)

by cross multiplication,

\(150 = 6x \\ x = \frac{150}{6} \\ x = 25\)

A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

Answer:

Good luck with math this year. Study hard for tests

Step-by-step explanation:

See the image.

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▹ Answer

8 - 3q

▹ Step-by-Step Explanation

19 - 4q + q - 11

Combine like terms in terms of q:

-4q + q = -3q

Combine like terms:

19 - 11 = 8

Final answer:

8 - 3q

Hope this helps!

CloutAnswers ❁

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Answer:Joe would have 40$

he will have 7 5 dollar bills and 5 1 dollar bills

To create opposite x terms, we need to multiply the first equation by -5.

How to choose what term to multiply the first equation?

To choose what term to multiply the first equation, we need to consider the coefficients of the variable that we want to eliminate (in this case, the x variable) in both equations. Our goal is to create opposite terms for that variable in the two equations, so that when we add or subtract the equations, that variable will be eliminated.

Determining the number to multiply the first equation by to form opposite terms for the x-variable :

In this case, the coefficient of x in the first equation is 2/5, and the coefficient of x in the second equation is -2.

To create opposite terms for x, we need to find a constant that, when multiplied by the first equation, will result in a coefficient of x that is the negative of the coefficient of x in the second equation (i.e., -2).

To do this, we can divide the coefficient of x in the second equation by the coefficient of x in the first equation, and then multiply the entire first equation by the resulting constant.

In this case, we have:

\((-2)/(2/5) = -5\)

Multiplying the first equation by -5 gives:

\(-5(2/5)x + (-5)6y = -5(-10)\)

which simplifies to:

\(-2x - 30y = 50\)

Now we have two equations with opposite x terms:

\(-2x - 4y = 40\)

\(-2x - 30y = 50\)

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To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Step-by-step explanation:

There are other factors than Roberto coming that could have affected the outcome of the game. For example, maybe the night games were against better teams to generate better ratings in prime time. Moreover, maybe the Angels do better at home due to home-field advantage. There are many factors such as these that could explain why Roberto witnessed such a high win rate at the games he went to, so it cannot be concluded that Roberto's attendance caused the Angels to win.

Answer:

the supplement of angle 70∘ is 110∘. Two angles are called supplementary angles if their sum is 180 degrees.

Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you with three of the functions. Then you need to remember the relations between those and the other three.

  Tan = Opposite/Adjacent

  tan(Ф) = 4/5

This suggests you can draw a triangle like the one attached that has adjacent side 5 and opposite side 4. Then hypotenuse can be found from the Pythagorean theorem:

  AC² = AB² +BC² = 5² +4² = 41

  AC = √41 . . . . . hypotenuse

Then the other trig functions are ...

  Sin = Opposite/Hypotenuse

  sin(Ф) = 4/√41 = (4/41)√41

  Cos = Adjacent/Hypotenuse

  cos(Ф) = 5/√41 = (5/41)√41

And the reciprocal functions are ...

  csc(Ф) = 1/sin(Ф) = (√41)/4

  sec(Ф) = 1/cos(Ф) = (√41)/5

  cot(Ф) = 1/tan(Ф) = 5/4

EXPLANATION

Since we have the expression 7-2x=9,

Subtracting -7 to both sides:

-2x = 9 - 7

Dividing both sides by -2:

Simplifying:

In conclusion, the solution is -1

Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

Is it possible to apply the conditional probability in its alternative form, P(R2|R1) is n(R1⋂R2) divided n(R1) Given that the product rule hasn't yet been taught, we have advocated this approach.

The probability of drawing a second red in the event that this red is not changed is 9/15,

hence the probability of A is 10/16 * 9/15, or 0.375.

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Answer:

The correct answer is -2(5 - 3m)

Step-by-step explanation:

The expression equivalent to 5:6 + 2/3m + 1/2 - 1/6m is 7:12 + 1/3m + 1/2.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

To simplify the given expression, we can combine the like terms 2/3m and -1/6m to get 1/3m.

Then, we can add the fractions 5:6 and 1/2 by finding a common denominator of 6:

5:6 + 1/2 = 5:6 + 3/6 = 8/6 = 4:3

Therefore, the given expression can be simplified to:

5:6 + 2/3m + 1/2 - 1/6m = 4:3 + 1/3m

To make the expression look like a ratio, we can write 4:3 as 5:6 - 1:6:

5:6 - 1:6 + 1/3m = 7:6 + 1/3m

Therefore, the expression equivalent to 5:6 + 2/3m + 1/2 - 1/6m is 7:12 + 1/3m + 1/2.

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New function that is a horizontal stretch of F(x)=\((x+2)^{3} + 5\) is F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)

The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).Only when the input value is also increased by a, can a graph be stretched horizontally by a factor of 1/a. The x-coordinates should be multiplied by a once f(x) has been stretched horizontally to f(ax). Keep the y-intercepts where they are. The resulting function might have a different domain, but it will have the same range. If a point (m, n) is stretched horizontally, it becomes (am, n).

F(x)=\((x+2)^{3} + 5\)

F(\(\frac{x}{k}\))=\((\frac{x}{k} +2)^{3} + 5\)ch visit :
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The better statistics that can be used to compare the scores of the two teams are: D. Median and IQR​.

Box plots displays the 5-number summary, namely:

The Interquartile Range (IQR) of the data can also be calculated by finding the difference between the First Quartile \((Q_1)\), and the Third Quartile \((Q_3)\).

The Interquartile Range (IQR) helps us to determine the variability of the data set.

The median that is gotten from the box pot measures the center tendency of the data.

Both median and IQR are better statistics that can be easily gotten from box plots to compare the team scores.

Therefore, the better statistics to use for comparing the scores of the teams are: D. Median and IQR​.

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I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. a + d = -8)

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

-TheUnknownScientist

Step-by-step explanation:

a) rahul's age = t

rahul's age 8 yrs. back = t - 8