It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.
How to illustrate the information?The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.
According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.
In conclusion, the opposite is the side facing the angle and the adjacent is the last side.
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An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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Identify the percent of change as an increase or a decrease.
50 pounds to 35 pounds
Responses
Increase
Increase
Decrease
Decrease
Question 2
Find the percent of change.
%
This percentage change is a decrease of 30%.
How to determine the percentage changeFrom the question, we have the following parameters that can be used in our computation:
50 pounds to 35 pounds
50 is greater than 35
This means that it is a percentage decrease
The decrease is then calculated as
Decrease = Change/Initial * 100%
So, we have
Decrease = (50 - 35)/50 * 100%
Evaluate
Decrease = 30%
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david hosts a podcast, and he is curious how much his listeners like his show. he decides to start with an online poll. he asks his listeners to visit his website and participate in the poll. the poll shows that 89% of the 200 respondents "love" his show.
According to the online poll, 89% of the 200 respondents "love" David's podcast.
David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.
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Money Corp. frequently uses a forward hedge to hedge its Malaysian ringgit (MYR) receivables. For the next month, Money has identified its net exposure to the ringgit as being MYR1,500,000. The 30-day forward rate is $.23. Furthermore, Money's financial center has indicated that the possible values of the Malaysian ringgit at the end of next month are $.20 and $.25, with probabilities of .30 and .70, respectively. Based on this information, the revenue from hedging minus the revenue from not hedging receivables is:
The revenue from hedging minus the revenue from not hedging receivables can be calculated by considering the net exposure to the Malaysian ringgit, the forward rate, and the probabilities of different exchange rate outcomes.
To calculate the revenue from hedging minus the revenue from not hedging receivables, we need to compare the outcomes of hedging versus not hedging in terms of the exchange rate.
If Money Corp. hedges its receivables, it will lock in the forward rate of $.23 for the net exposure of MYR1,500,000. Therefore, the revenue from hedging will be:
Revenue from Hedging = Net Exposure * Forward Rate = MYR1,500,000 * $.23
To calculate the revenue from not hedging, we consider the probabilities associated with each exchange rate outcome. The expected revenue from not hedging is calculated by multiplying each possible value by its corresponding probability and summing the results:
Expected Revenue from Not Hedging = (Revenue at $.20 * Probability of $.20) + (Revenue at $.25 * Probability of $.25)
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f(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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There is 885 mL of milk in one jug and 550 mL in another. How much milk is there both the jugs?
Answer:
1,435 mL
Step-by-step explanation:
This is a simple addition problem if I'm not mistaken.
885+550=1435
Carrie has 11 more glass animals than Naomi, who has g animals.
Evaluate the expression g + 11 for g = 4 to find how many glass animals Carrie has.
Shruthi typed 1000 words in 60 minutes. What is her typing speed?
Answer:
If top readers read at speeds of above 1000 words per minute (wpm) with near 85% comprehension, they only represent 1% of readers. Average readers are the majority and only reach around 200 wpm with a typical comprehension of 60%. ... The average reader is five times slower than the good reader.
Step-by-step explanation:
2. Suppose you have a data set of 7 numbers. If the constant 5 is added to each value in the set, what happens to the mean? What happens to the standard deviation?
3. There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.
a. The number of people who consumed between 24 and 40 ounces of chowder.
b. The number of people who consumed between 16 and 40 ounces of chowder.
If the constant 5 is added to each value in a data set, the mean of the data set increases by 5, and the standard deviation remains the same. This is because adding a constant to each value in the data set shifts the distribution of the data to the right, but it does not change the spread of the data.
What are the responses to other questions?(a) The number of people who consumed between 24 and 40 ounces of chowder can be found by finding the area under the standard normal curve that corresponds to these values and multiplying it by the number of people. To find this area, we need to find the standard scores (z-scores) corresponding to 24 and 40 ounces and then use a table of the standard normal distribution to find the area.
The mean and standard deviation of the distribution are 32 ounces and 8 ounces, respectively. The standard score corresponding to 24 ounces is (24-32)/8 = -1, and the standard score corresponding to 40 ounces is (40-32)/8 = 1. The area under the standard normal curve between -1 and 1 is approximately 0.6826. So, approximately 68.26% of the people consumed between 24 and 40 ounces of chowder.
So, the number of people who consumed between 24 and 40 ounces of chowder is 200 * 0.6826 = 136.52, or approximately 136 people.
(b) To find the number of people who consumed between 16 and 40 ounces of chowder, we can repeat the same process. The standard score corresponding to 16 ounces is (16-32)/8 = -2, and the standard score corresponding to 40 ounces is (40-32)/8 = 1. The area under the standard normal curve between -2 and 1 is approximately 0.8365. So, approximately 83.65% of the people consumed between 16 and 40 ounces of chowder.
So, the number of people who consumed between 16 and 40 ounces of chowder is 200 * 0.8365 = 167.3, or approximately 167 people.
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Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid similarity statement. Problems 3 & 4
Answer: Problem 3:
The triangles are not similar. They have different angles.
Problem 4:
The triangles are similar by SSS~. A valid similarity statement is:
Triangle ABC ~ Triangle DEF.
Step-by-step explanation:
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
Anyone wanna be mutuals?
I’m 14, female, listen to The Arctic Monkeys and Mother Mother, I love the outdoors and art. I am fascinated by criminology and death.
Lmk :)
Answer:
I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck
Step-by-step explanation:
Answer:
me too!! do u like chase atlantic
Step-by-step explanation:
It takes you 12 minutes
fo rake 1/5 of your
backyard. If you continue
at this rate, how many more
minutes will it take to finish
raking?
Answer:
48 minutes
Step-by-step explanation:
\( \frac{1}{5} x = 12\)
\(x = 60\)
\(60 - 12 = 48\)
It will take 48 more minutes to finish raking the backyard.
1. 3a+63b=
2.8b²+6b=
3. 2ab-2ay=
4. 8a²b-4ab2=
5. 4x(x-1)-x+1
6. x(2a-B)-y(b-2a)=
7. a(x-y)-(y-x)=
8. (3x-1)(x-2)-(x+4)(x-2)=
9. (a+B)(x-3y)-2a(x-3y)=
i have to simplify
8. Find the area of the kite.
Answer:
A=16, the formula to find the area of a kite is A=pq/2
Step-by-step explanation:
A=pq/2 = 4×8/2=16
The blank is the number that tell how many times a base number is used as a factor
Answer:
exponent
Step-by-step explanation:
Find an equation of the line passing through the
point (6,5) and perpendicular to the line whose
equation is 2y + 3x = 6.
Answer:
In slope-intercept form:
\(\displaystyle y=\frac{2}{3}x+1\)
Or, in standard form:
\(2x-3y=-3\)
Step-by-step explanation:
We want to find the equation of the line that passes through the point (6, 5) and is perpendicular to the line whose equation is:
\(2y+3x=6\)
Since the new line is perpendicular, its slope and the slope of the first equation will be negative reciprocals of each other.
So, find the slope of the first equation. Subtract 3x from both sides:
\(2y=-3x+6\)
And divide both sides by two:
\(\displaystyle y=-\frac{3}{2}x+3\)
So, the slope of the first equation is -3/2.
The slope of the new line is its negative reciprocal. So, the slope of the perpendicular line is 2/3.
Next, we also know that it passes through the piont (6, 5). We can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
Substitute:
\(\displaystyle y-(5)=\frac{2}{3}\left(x-6\right)\)
And we have our equation!
If desired, we can simplify it into slope-intercept form:
\(\displaystyle \begin{aligned} y-5&=\frac{2}{3}x-4\\\\y&=\frac{2}{3}x+1\end{aligned}\)
Or, into standard form:
\(\displaystyle \begin{aligned} y&=\frac{2}{3}x+1\\\\3y&=2x+3\\\\ 2x-3y&=-3\end{aligned}\)
What is 20% of 30,000,000
The answer would be 6,000,000
write three equations of lines with a positive slope
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
Here, we have,
I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.
I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.
The slope represents the rate of change arm span based on height. The y intercept is the arm span.
Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
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complete question:
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
urgenttttttt
boat rentals are 20 per hour plus a $50 rental fee. This can be expressed with the function C(h) = 20h + 50. If a rental cost $170, how many hours was the boat rented?
A teacher hands out 20 test papers in 4 minutes. Write an equation for the proportional relationship relating the time, m, to the number of test papers, p. Use the equation to find how many papers, p, the teacher can hand out in 5 minutes.
The equation for the proportional relationship between the time, m (in minutes), and the number of test papers, p, is p = (20/4)m. Using this equation, the teacher can hand out 25 test papers in 5 minutes.
To find the equation for the proportional relationship between the time, m (in minutes), and the number of test papers, p, we need to determine the rate at which the teacher is handing out the test papers.
Given that the teacher hands out 20 test papers in 4 minutes, we can calculate the rate by dividing the number of test papers by the time taken:
Rate = Number of test papers / Time
Rate = 20 test papers / 4 minutes
Rate = 5 test papers per minute
So, the equation for the proportional relationship is:
p = 5m
To find how many papers, p, the teacher can hand out in 5 minutes, we substitute the value of m = 5 into the equation:
p = 5 * 5
p = 25
Therefore, the teacher can hand out 25 test papers in 5 minutes.
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I need this quick i only have 2 minutes
Answer:
\(2 \frac{1}{3} + 1 \frac{3}{4} \)
\(2 \frac{4}{12} + 1 \frac{9}{12} = 3\frac{13}{12} = 4 \frac{1}{12} \)
The correct answer is A.
please help the first one to answer gets a crown and it has to be right (50 pts)
The slope of the linear equation y=2/3x-1 is 2/3 and the y-intercept is -1.The slope of a line is the ratio of the change in the y-coordinate to the change in the x-coordinate as you move from one point on the line to another. In this case, if you move one unit to the right, the y-coordinate changes by 2/3 units.The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at the point (0, -1).You can also find the slope and y-intercept by using the slope-intercept form of the equation of a line, which is y=mx+b. In this case, m is the slope and b is the y-intercept.
So, the slope is 2/3 and the y-intercept is -1.
Answer:
B. Slope=⅔, y-intercept =(0,-1)
Step-by-step explanation:
We have
y=⅔*x-1
let's compare this equation with y=mx+c
where
m is slope and c is y intercept.
While comparing
we get
m=⅔
c=-1
Therefore, Slope=⅔
and y intercept= -1
In y-intercept x is 0.
The y-intercept is the point where the line crosses the y-axis. In this case, the line crosses the y-axis at the point (0, -1).
Suppose that we are interested in the mean and standard deviation of the average size of a
family in Canada, whose distribution is skewed. In 2018, the average size of a Canadian family was 2.8 with a standard deviation of 1.72.
A If we randomly choose 11 families, could we use the normal model (distribution] to find the probability that families have more than 6 peopele, on average?
O A. No since we would also need to know how many familes responded to the survey
O B. No since the distribution is showed
O C. Yes since the distribution is skowed
O D. Yous 11 - 15
B. For a random sample of 79 families, what would the mean and standard deviation for the sampling distribution of the average family wire bay Choose your arawer from the list below
O A. mean = 0.04, standard deviation = 1,72
Q B. mean = 0:04, standard deviation = 0.19
O C. mean = 2 8, standard deviation = 25
O D. mean = 2 8, standard deviation = 1.72
O'E. mean = 2.8, standard deviation = 0,19
C. For a random sample of 79 families, is the sample size assumption for the central limit theorem satisred? Choose your anwar from the lit below.
O A. Yes, since the sample size is greater than 40.
O B. You, since 79 is less than 10% of the size of the population,
Q C. Unsure since we don't have a histogram of the data.
O D. No, since the distribution is showed.... Show more"
A. B. No, since the distribution is skewed. B. D. mean = 2.8, standard deviation = 1.72. C. A. Yes, since the sample size is greater than 40.
How to determine the If we randomly choose 11 families, could we use the normal modelA. If we randomly choose 11 families, could we use the normal model (distribution) to find the probability that families have more than 6 people, on average?
The correct answer is B. No, since the distribution is skewed. When the distribution is skewed, it indicates that the data does not follow a symmetric pattern. In such cases, using the normal model may not be appropriate as it assumes a symmetric distribution. Skewed distributions require alternative methods or models for analysis.
B. For a random sample of 79 families, what would be the mean and standard deviation for the sampling distribution of the average family size?
The correct answer is D. mean = 2.8, standard deviation = 1.72. When sampling from a population, the mean of the sampling distribution will be equal to the population mean, and the standard deviation of the sampling distribution will be equal to the population standard deviation divided by the square root of the sample size.
C. For a random sample of 79 families, is the sample size assumption for the central limit theorem satisfied?
The correct answer is A. Yes, since the sample size is greater than 40. According to the central limit theorem, when the sample size is sufficiently large (typically considered greater than 30 or 40), the sampling distribution of the sample mean will approach a normal distribution, regardless of the shape of the population distribution. Therefore, in this case, the sample size assumption for the central limit theorem is satisfied.
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what is the output of , y=5x-3 when x is 5
Answer:
The output is 22
Step-by-step explanation:
So, you are going to want to plug in 5 for x, therefore-
y = 5(5) - 3
Solve from there
y = 25 - 3
y = 22
Answer:
x = 5 and y = 22
Step-by-step explanation:
y = 5 x − 3
y = ( 5 ) ( 5 ) − 3
y = 22
Sales reported on the income statement were $251,370. The accounts receivable balance declined $19,310 over the year. Determine the amount of cash received from customers.
The amount of cash received from customers is $232,060
To determine the amount of cash received from customers, we need to account for the change in accounts receivable over the year. The change in accounts receivable represents the difference between the beginning balance and the ending balance.
Since the accounts receivable balance declined by $19,310, we can infer that customers paid off that amount of outstanding accounts receivable.
To calculate the cash received from customers, we add the change in accounts receivable to the sales reported on the income statement. This is because the sales reported on the income statement represent the total revenue generated from sales, including both cash and credit sales.
Cash received from customers = Sales + Change in accounts receivable
Cash received from customers = $251,370 + (-$19,310) = $232,060
Therefore, the amount of cash received from customers is $232,060. This figure represents the actual cash inflow from customers for the specified period, accounting for the change in accounts receivable.
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Albert and Makayla are each renting a car for one day. Albert’s rental agreement states that the car costs $35 per day and $0. 15 per mile driven. Makayla’s agreement states that the car she is renting costs $45 per day and $0. 10 per mile driven. Write an equation to determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals
To determine the number of miles, m, Albert and Makayla drive if they spend the same amount of money on their rentals, we can write an equation using the given information:
Albert's cost = $35 per day + $0.15 per mile driven
Makayla's cost = $45 per day + $0.10 per mile driven
Since they spend the same amount of money, we can set the costs equal to each other:
35 + 0.15m = 45 + 0.10m
Now, we need to solve the equation form, the number of miles driven:
1. Subtract 0.10m from both sides:
35 + 0.05m = 45
2. Subtract 35 from both sides:
0.05m = 10
3. Divide both sides by 0.05:
m = 200
So, if Albert and Makayla spend the same amount of money on their rentals, they both drive 200 miles.
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Compute the total and annual returns on the following investment.
You pay $5500 for a municipal bond. When it matures after 18 years, you receive $11,100.
The total return is ____%?
(Do not round until the final answer. Then round to one decimal place as needed.)
The total return on the municipal bond investment is 101.8% and annual return is approximately 3.7%.
annual return is approximately 3.7%.
To compute the total return on the investment, you can use the formula:
Total Return (%) = (Final Value - Initial Value) / Initial Value * 100
In this case, the initial value is $5,500, and the final value when the bond matures after 18 years is $11,100. Plugging these values into the formula, we get:
Total Return (%) = ($11,100 - $5,500) / $5,500 * 100 = $5,600 / $5,500 * 100 = 101.8%
Next, to compute the annual return, we can use the formula:
Annual Return (%) = [(Final Value / Initial Value)^(1 / Years)] - 1
Plugging the values into the formula, we get:
Annual Return (%) = [($11,100 / $5,500)^(1 / 18)] - 1 ≈ 0.037 or 3.7%
Thus, the total return on the municipal bond investment is 101.8%, and the annual return is approximately 3.7%.
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suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows: number of breakdowns prob. 0 0.50 1 0.25 2 0.10 3 0.10 4 0.05 the cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. if the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. how much better off per month would the firm be if it adopted preventive maintenance? multiple choice $100 better off $2,000 better off $200 better off $100 worse off $200 worse off
$100 much better off per month would the firm be if it adopted preventive maintenance.
Given that,
We have to find how much more profitable would the company be each month if it implemented preventive maintenance.
We know that,
Number of Breakdowns are 0, 1, 2, 3, 4
The problems for the breakdowns are 0.50, 0.25, 0.10, 0.10, 0.05
Cost of a breakdown is $2,000
A monthly preventive maintenance programme costs $2,000
Expected probability of breakdown:
E(x) = Σ(X × p(x))
= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) + (4×0.05)
= 0.95
E(x) ×cost of breakdown = (0.95 × 2000) = $1900
So, Difference between breakdown and preventive maintenance
1900 - 2000 = - $100
Therefore, $100 much better off per month would the firm be if it adopted preventive maintenance.
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a child has a standard score of 79. how many standard deviations is this score above or below the mean? or is it within average range/within normal limits?
A standard score of 79 means that the child's performance is below average compared to other children of the same age.
In order to determine how many standard deviations this score is above or below the mean, we need to know the mean and standard deviation of the sample population. If the mean and standard deviation are known, we can use the formula:
Z = (X - μ) / σ
Where Z is the number of standard deviations from the mean, X is the child's score, μ is the mean, and σ is the standard deviation.
Typically, for standard scores, the mean is 100, and the standard deviation is 15.
To calculate how many standard deviations away the child's score is from the mean, use the formula: (Child's score - Mean) / Standard deviation. In this case, the calculation would be:
(79 - 100) / 15 = -21 / 15 = -1.4
Assuming a normal distribution, a standard score of 79 is 1.5 standard deviations below the mean, based on the commonly used scale with a mean of 100 and standard deviation of 15. This means that the child's score is outside the normal limits or range, as the average range or normal limits are typically considered to be within two standard deviations of the mean, or between a standard score of 70 and 130. The child may need additional support or interventions to improve their academic performance.
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