The Interquartile Range of the distribution obtained as the average of the difference between the upper and lower quartile is 3.5
The Interquartile RangeThe Interquartile range is the difference between the upper and lower quartile divided by 2. This can be written Mathematically thus ;
IQR = (Upper quartile - Lower quartile) / 2
Lower quartile = 7
Upper quartile = 12
IQR = (12 - 7) / 2
IQR = 5/2
IQR = 3.5
Therefore, the value of the Interquartile range for the distribution is 3.5
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What is the distance between (5,-1) and (5,4)?
A) 1 unit
B) 3 units
C) 4 units
D) 5 units
Answer:
D
Step-by-step explanation:
The first number in each co-ordinate is the same so -1 plus 4 is 5 units
Answer:
5 units
Step-by-step explanation:
The x-coordinates of both coordinates are the same, so you only need to add the absolute values of -1 and 4, which is 5.
A carpenter has a board that is 8 feet long. He cuts off 2 pieces. One piece is 3 1/2 feet long and the other is 2 1/3 feet long. How much of the board is left? IM SO SORRY THIS QUESTION ISN’T MULTIPLE CHOICE PLS FORGIVE ME
Answer:
2 1/6
Step-by-step explanation:
The answer is 2 1/6 because you should start by adding 3 1/2 + 2 1/3. This equals 5 5/6 feet. You should then subtract 8 - 5 5/6 because you are figuring out how much is left. When you subtract 8 - 5 5/6, you get 2 1/6. So 2 1/6 feet of the board is left.
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The square of a proper fraction is:
a) Larger than fraction
b) Equal to the fraction
c) Smaller than the fraction
d) None of these
Please help & make sure to give an explanation for the answer
Answer:
c. Smaller than the fraction
Step-by-step explanation:
have a great night :)
Which of the following correctly describes the relationship between a parameter & a statistic?
a) A statistic is calculated from sample data and it's generally used to estimate a parameter.
b) statistics are a group of subjects selected according to the parameters of the study.
c) A parameter is calculated from sample data and is generally used to estimate a statistic.
d) A perimeter and a statistic are not related.
(a) correctly describes the relationship between a parameter and a statistic.
The correct description is:
a) A statistic is calculated from sample data and is generally used to estimate a parameter.
In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.
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What is the sign of b/c?
Positive
Negative
Zero
Answer:
positive +
negative -
zero 0
hope this help
A Canadian tourist travelling to Miami learned that the local temperatures in Fahrenheit for the last week were as follows:
Day Temp
Monday 94
Tuesday 97
Wednesday 87
Thursday 90
Friday 80
Saturday 85
Sunday (Today) 98
c. Calculate the mean absolute deviation based on a two-day moving average
d. Compute the mean squared error for the two-day moving average
e. Calculate the mean absolute percent error for the two-day moving average
Based on the given temperature data, the forecasted high temperature for today using a three-day moving average is 93°F, and using a two-day moving average is 89°F. The mean absolute deviation for the two-day moving average is 1°F, and the mean squared error is 1. The mean absolute percent error for the two-day moving average is approximately 1.13%.
These metrics provide a way to assess the accuracy of the temperature forecasts and the variability of the actual temperatures from the moving averages.
a) To forecast the high temperature today using a three-day moving average, we take the average of the temperatures from the last three days. So, (95 + 96 + 88) / 3 = 93°F.
b) To forecast the high temperature today using a two-day moving average, we take the average of the temperatures from the last two days. So, (88 + 90) / 2 = 89°F.
c) The mean absolute deviation (MAD) based on a two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, summing up those differences, and then dividing by the number of observations.
The two-day moving average is 89°F. The deviations from the moving average are: |88 - 89| = 1 and |90 - 89| = 1. The sum of these deviations is 1 + 1 = 2. Since we have two observations, the MAD is 2 / 2 = 1°F.
d) The mean squared error (MSE) for the two-day moving average is calculated by squaring the differences between each temperature and the two-day moving average, summing up those squared differences, and then dividing by the number of observations.
The differences are: (88 - 89)^2 = 1 and (90 - 89)^2 = 1. The sum of squared differences is 1 + 1 = 2. Since we have two observations, the MSE is 2 / 2 = 1.
e) The mean absolute percent error (MAPE) for the two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, dividing that difference by the actual temperature, summing up those absolute differences, and then dividing by the number of observations.
The two-day moving average is 89°F. The absolute percent differences are: |88 - 89| / 88 = 0.0114 and |90 - 89| / 90 = 0.0111. The sum of these absolute differences is 0.0114 + 0.0111 ≈ 0.0225. Since we have two observations, the MAPE is 0.0225 / 2 ≈ 0.0113 or 1.13%.
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The probable question may be:
A Canadian tourist travelling to Miami learned that the local temperatures in Fahrenheit for the last week were as follows: 93, 94, 93, 95, 96, 88, 90 (yesterday).
a) Forecast the high temperately today, using a three-day moving average.
b) Forecast the high temperature today, using a two-day moving average.
c) Calculate the mean absolute deviation based on a two-day moving average.
d) Compute the mean squared error for the two-day moving average.
e) Calculate the mean absolute percent error for the two-day moving average.
Determine if this is a function or not based on the graph
O yes
O no
Answer:
yes
Step-by-step explanation:
brainiest plz
Find the value of x so that f(x) = 13 f(x) = 3x+4
A. 2
B. 3
C. 6
D. 4
Step-by-step explanation:
→ 3x + 4 = 13
→ 3x = 13 - 4 = 9
→ x = 9/3 = 3
→ x = 3
option B is correct
hope this answer helps you dear! take care
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3. what are the coordinates of a'?
The coordinates of a' after scaling factor of 1/3 is a'(1,1).
Given:
points a (3, 3) and b (3, 6) are two vertices of rectangle abcd. the rectangle is dilated by a scale factor of 1/3.
Rectangle:
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.
Scale factor :
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
scale factor = 1/3
= (3*1/3 , 3*1/3)
= (3/3 , 3/3)
= (1,3/3)
= (1,3)
Therefore the coordinates of a'(1,1).
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Exponential form 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
Answer:
1
Step-by-step explanation:
of course the answer is one but you can't write it in exponential form because a regular keyboard doesn't contain it
Answer:
1
Step-by-step explanation:
please help with this question find the outlier!!
Answer:
the outlier would be 36 oz
Step-by-step explanation:
the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)
hope this helps :)
I need this rn can someone pls help me
Answer:
\(V=2080m^3\)
Step-by-step explanation:
The volume formula for triangular prism is \(V=\frac{1}{2}bhl\)
\(V=\frac{1}{2}(26)(20)(8)\)
\(V=\frac{1}{2}(4160)\)
\(V=2080\)
Hope this helps
Answer:
The answer is 2080m^3
Step-by-step explanation:
The formula for volume of a prism is 1/2 x length x width x height
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Which of the following points is in the solution set of y>-x² + 5?
A. (0,5)
B. (1,3)
C. (2,4)
Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance he has traveled to the distance he still has to travel is 2:3. What distance will Herman have traveled when he stops for lunch?
Answer:
250 miles
Step-by-step explanation:
The given distance between the house and the beach is 125 miles.
Let \(x\) miles be the distance between the house and the lunch stop.
So, at the time of the lunch stop, he already traveled \(x\) miles, the remaining distance is the distance between the lunch stop and the beach.
Let \(y\) miles be the remaining distance, so
\(y=125-x.\)
Give that the ratio of the distance he has traveled, \(x\), to the distance he still has to travel, \(y\), is \(2:3\),i.e
\(x:y=2:3\)
\(\Rightarrow \frac x y =\frac 2 3\)
\(\Rightarrow \frac {x}{125-x}=\frac 2 3\)
\(\Rightarrow 3\times x=2\times(125-x)\)
\(\Rightarrow 3\times x=2\times125-2\timesx\)
\(\Rightarrow 3 x=250-2x\)
\(\Rightarrow 3x-2x=250\)
\(\Rightarrow x=250\)
Hence, the distance traveled by Herman when he stops for lunch is 250 miles.
Find the volume of the given rectangular pyramid.
Answer:
5 x 3 = 15, 15 x 4 = 60
60 x 1/3(basically just dividing by 3) = 20 in3
Answer:
H) 20
Step-by-step explanation:
Formula for the volume of a rectangular pyramid:
V = (whl)/3
Given:
w = 3
h = 4
l = 5
Work:
V = (whl)/3
V = (3 × 4 × 5)/3
V = (60)/3
V = 20
A set of twins have agreed to take part in an observational study. Each of the twins will wear a microphone that will record every interaction that they have for a week. Which choice best describes this situation?
A. Covert and structured
B. Covert and unstructured
C. Overt and structured
D. Overt and unstructured
Answer: the answer is overt and structured
Answer:
The answer is D. overt and unstructured
Step-by-step explanation:
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which is greater, f(2)=81 or g(2)=83? explain and show work please
I need help Barbara measured a restaurant and made a scale drawing. In real life, a table in the restaurant is 6 feet long. It is 2 inches long in the drawing. What scale did Barbara use for the drawing?
Answer:
1 inch = 3 feet
Step-by-step explanation:
if 6 feet is real, and 2 feet is on the drawing, then you would convert it to 1 inch = 3 feet
Aplica la propiedad distributiva para crear una expresión equivalente 2(3-8y)=
Answer:
2(3-8y)=
6-16y
Step-by-step explanation:
6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
Answer:
5(8x + 6y), 10(4x + 3y), 2(20x + 15y)
Step-by-step explanation:
(5x *8) + (5x *6) = 40x + 30x no
(5 * 8x) + (5 *6y) = 40x + 30y yes
10*40x + 10*30y = 400x + 300y no
10*4x + 10*3y = 40x + 30y yes
2y *20x + 2y*15 = 40xy + 30y no
2*20x + 2*15y = 40x + 30y yes
The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.
Given :
Expression -- (40x + 30y)
The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):
Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).
Step 2 - Take the 10 common in the given expression.
= 40x + 30y
= 10(4x + 3y)
Step 3 - Also can take 2 common in the given expression.
= 40x + 30y
= 2(20x + 15y)
Therefore, the correct option is D) and F).
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Taylor is buying presents for members of his family. He wants to spend $10 less on his brother then he spends on his sister and six dollars more then twice the amount he spends on his sister on his mother. If taylor has $100 to spend how much does he intend to spend on his brother
Answer:
the answer is:
$90 ))
Step-by-step explanation:
100 - 10= 90
What's the difference between weather vanes and anemometers?
Answer:
The second one
Step-by-step explanation:
(1) Using the Black/Scholes Option Pricing Model, calculate the value of the call option given: S=74; X=70;T=6 months; σ2=.50 Rf=10% (2) What is the intrinsic value of the call? (3) What stock price is necessary to break-even? 4 If volatility were to decrease, the value of the call would (5 If the exercise price would increase, the value of the call would ? 6 If the time to maturity were 3-months, the value of the call would ? 77 If the stock price were $62, the value of the call would ? 8 What is the maximum value that a call can take? Why?
(1) Using the Black/Scholes Option Pricing Model, the value of the call option is $7.70.
(2) The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
(3) The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.
(4) If volatility were to decrease, the value of the call would decrease.
(5) If the exercise price would increase, the value of the call would decrease.
(6) If the time to maturity were 3-months, the value of the call would decrease.
(7) If the stock price were $62, the value of the call would be zero.
(8) The maximum value that a call option can take is unlimited.
In the Black/Scholes option pricing model, the value of a call option can be calculated using the formula:
C = S*N(d1) - X*e^(-rT)*N(d2)
where S is the stock price, X is the exercise price, r is the risk-free rate, T is the time to maturity, and σ2 is the variance of the stock's return.
Using the given values, we can calculate d1 and d2:
d1 = [ln(S/X) + (r + σ2/2)T]/(σ2T^(1/2))
= [ln(74/70) + (0.10 + 0.50/2)*0.5]/(0.50*0.5^(1/2))
= 0.9827
d2 = d1 - σ2T^(1/2) = 0.7327
Using these values, we can calculate the value of the call option:
C = S*N(d1) - X*e^(-rT)*N(d2)
= 74*N(0.9827) - 70*e^(-0.10*0.5)*N(0.7327)
= $7.70
The intrinsic value of the call is the difference between the stock price and the strike price of the option. Therefore, it is $4.
The stock price required to break-even is the sum of the strike price and the option premium. Therefore, it is $74.If volatility were to decrease, the value of the call would decrease. This is because the option's value is directly proportional to the volatility of the stock.
If the exercise price would increase, the value of the call would decrease. This is because the option's value is inversely proportional to the exercise price of the option.
If the time to maturity were 3-months, the value of the call would decrease. This is because the option's value is inversely proportional to the time to maturity of the option.If the stock price were $62, the value of the call would be zero. This is because the intrinsic value of the call is zero when the stock price is less than the strike price.
The maximum value that a call option can take is unlimited. This is because the value of a call option is directly proportional to the stock price. As the stock price increases, the value of the call option also increases.
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Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and what is its value if n = 3?
StartFraction n Over 4 EndFraction minus 13; when n = 3 the value is Negative 12 and one-fourth
13 minus 4 n; when n = 3 the value is 1
4 n minus 13; when n = 3 the value is –1
13 minus StartFraction n Over 4 EndFraction; when n = 3 the value is 12 and one-fourth
Answer:
tbh i think the answer is b
Step-by-step explanation:
Answer:
yeah i think its B too
Step-by-step explanation:
The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five terms. What is the absolute difference between two consecutive terms of this sequence
the absolute difference between two consecutive terms of this arithmetic sequence is 18.
Let's denote the first term of the arithmetic sequence as 'a' and the common difference as 'd'.
The sum of the first five terms can be expressed as:
S1 = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d)
The sum of the next five terms can be expressed as:
S2 = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d)
According to the given information, the sum of the first five terms is 90 less than the sum of the next five terms:
S1 = S2 - 90
Substituting the expressions for S1 and S2:
a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d) - 90
Simplifying the equation:
5a + 10d = 5a + 15d - 90
Canceling out the common terms:
10d = 15d - 90
Rearranging the equation:
5d = 90
Dividing both sides by 5:
d = 18
Now that we have the common difference 'd', we can find the absolute difference between two consecutive terms by subtracting one term from the next. In this case, the absolute difference is equal to the common difference 'd':
Absolute difference between two consecutive terms = d = 18
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use order of operations to simplify -5+3(7.2 - 3.2). please help
Answer:
7
Step-by-step explanation:
First solve what is in the parentheses.
-5+3(4)
Multiply 3 by 4.
-5+12
Subtract/add
7
I hope this helps!
If a is an odd integer and b is an even integer, which of the following makes an odd integer?
A.) 3b
B.) a+3
C.) 2(a+b)
D.) a+2b
Explain your answer
9514 1404 393
Answer:
D.) a+2b
Step-by-step explanation:
The integers 'a' and 'b' can be any, so you can choose a couple and evaluate these expressions to see what you get. For example, we can let a=1 and b=0. For these values, the offered expressions evaluate to ...
A) 3(0) = 0 . . . even
B) 1 +3 = 4 . . . even
C) 2(1+0) = 2 . . . even
D) 1 +2(0) = 1 . . . odd
_____
Additional comment
These rules apply to even/odd:
odd × odd = oddodd × even = eveneven × even = evenodd + odd = evenodd + even = oddeven + even = evenThen A is (odd)(even) = even; B is (odd)+(odd) = even; C is (even)(whatever) = even; D = (odd)+(even) = odd.
Points A, B, and C are collinear. Point B is between A and C. Solve for x
Find AC if BC=11x-1, AC=21x, and AB=11.
May you help me with this question? :3
Answer:
The answer is C. 1/2^4
Use the table below to fill in the missing values. f(x) 0 1 0 2. 4 1 5 8 6 7 7 8. 9 ON 4 f(6) = if f(x) = 9 then x பாயா f-1(7) ammi if f '(x) = 8 then I ami Question Help: video Score on las
f(5) = 0, If f(x) = 8, then x = 1, f⁻¹(0) = 5, If f⁻¹(x) = 1, then x = 3. By looking at the given table, we can determine the missing values:
f(5) corresponds to the value of f(x) when x = 5, which is 0.
If f(x) = 8, we need to find the corresponding value of x. From the table, we can see that x = 1 when f(x) = 8.
f⁻¹(0) represents the inverse of the function f(x) = 0. By examining the table, we find that f⁻¹(0) corresponds to x = 5.
If f⁻¹(x) = 1, we need to find the value of x. From the table, we can see that x = 3 when f(x) = 1.
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