A(-3,5) to B(8,1)
That makes a right triangle 8 - -3 = 11 in the x direction, 5 - 1 = 4 in the y direction.
d² = (8 - -3)² + (1 - 5)² = 11² + (-4)² = 121 + 25 = 146
d = √146 = 12.083045973594572
Answer: 12.1
The average height of the 10 tallest buildings in Los Angeles is than the average height of the tallest buildings in San Francisco. The mean absolute deviation for the 10 tallest buildings in San Francisco is
The answer:
Answer with explanation:
Average Height of tallest Building in San Francisco
Average Height of tallest Building in Los Angeles
→→Difference between Height of tallest Building in Los Angeles and Height of tallest Building in San Francisco
=233.9-197.8
=36.1
⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.
⇒Part B
Mean absolute deviation for the 10 tallest buildings in San Francisco
|260-197.8|=62.2
|237-197.8|=39.2
|212-197.8|=14.2
|197 -197.8|= 0.8
|184 -197.8|=13.8
|183-197.8|=14.8
|183-197.8|= 14.8
|175-197.8|=22.8
|174-197.8|=23.8
|173 -197.8|=24.8
Average of these numbers
Mean absolute deviation=23.12
Answer:
1st -36.1 meters or more
2nd -23.12
Step-by-step explanation:
Answer:
a. Covariance between x and y = – 1.25
b. Correlation coefficient = – 0.07
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Consider the following sample data:
x 10 7 20 15 18
y 22 15 19 14 15
Required:
a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal place.
b. Calculate the correlation coefficient (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal place.)
The explanation to the answer is now given as follows:
Note: See the attached excel file for the calculations of the sum of x and y, means of x and y, deviations of x and y, multiplications of deviations of x and y, and others.
a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal place.)
In the attached excel file, we have:
N = Number of observations = 5
Mean of x = Sum of x / N = 70 / 5 = 14
Mean of y = Sum of y / N = 85 / 5 = 17
x - Mean of x = Deviations of x = see the attached excel file for the answer of each observation
y - Mean of y = Deviations of y = see the attached excel file for the answer of each observation
Multiplications of the deviations of x and y = (x - Mean of x) * (y - Mean of y) = see the attached excel file for the answer of each observation
Sum of the multiplications of deviations of x and y = Sum of ((x - Mean of x) * (y - Mean of y)) = –5
Since we are using a sample, we use (N – 1) in our covariance between x and y as follows:
Covariance between x and y = Sum of ((x - Mean of x) * (y - Mean of y)) / (N – 1) = –5 / (5 – 1) = –5 / 4 = –1.25
b. Calculate the correlation coefficient (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal place.)
The correlation coefficient can be calculated using the following formula:
Correlation coefficient = Covariance between x and y / (Sum of (x - Mean of x)^2 * Sum of (y - Mean of y)^2)^0.5 ………………… (1)
Where, from the attached excel file;
Covariance between x and y = –5
Sum of (x - Mean of x)^2 = 118
Sum of (y - Mean of y)^2 = 46
Substituting the values into equation (1), we have:
Correlation coefficient = –5 / (118 * 46)^0.5 = –5 / 5,428^0.5 = –5 / 73.6750 = – 0.07
The covariance between two variables can be calculated by first finding the mean of each dataset, subtracting the mean from each data point, multiplying the results for each pair of coordinates, summing these products to obtain the numerator. The denominator is obtained by subtracting one from the number of data points. The covariance is then the numerator divided by the denominator.
The term covariance is one of the key factors for understanding correlation between two variables. To calculate the covariance between the two given variables, we first need to calculate the mean of each set (x and y). After we've gotten the mean, we subtract the mean from each data point and multiply the results for each pair of x and y values. Summing these products will give us the numerator in the covariance calculation. The denominator is calculated by subtracting one from the total number of data points we have (n-1). So, the covariance is the sum we got from the numerator, divided by the denominator. Please don't forget to indicate if the covariance is negative, using a minus sign.
#SPJ11
Answer:
1.827 x 10^-23
Step-by-step explanation:
(1.994 x 10^-23) - (1.67 x 10^-24) = 1.827 x 10^-23
Answer: C. 6 inches high, 4 inches wide, and 10 inches long
Step-by-step explanation:
A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.
This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.
Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.
Height = Scale/ Real = 6/3 = 2
Width = 4/2 = 2
Length = 10/5 = 2
They all use the scale factor of 1 feet: 2 inches so option C is correct.
Which statements are true for triangle LNM? Check all that apply.
Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
In a triangle, the side which does not make an angle is called opposite side of that angle.
From the given graph it is clear that
Opposite side of ∠L is NM.
Option 1 is correct.
Opposite side of ∠M is NL.
Opposite side of ∠N is ML.
Option 2 is correct.
The side next to an angle is called adjacent side.
Adjacent sides of ∠L is LM and LN.
Adjacent sides of ∠M is LM and MN.
Adjacent sides of ∠N is LN and MN.
In a right angled triangle, the opposite sides of a right angle is called hypotenuse.
Angle M is a right angled, so the side NM is hypotenuse. Option 4 is correct.
Therefore the correct options are 1, 2 and 4.
b.) what is the probability that the part selected from box 1 is defective, and the parts selected from box 2 and 3 are non-defective?
c.) what is the probability that two parts are non-defective and one part is defective?