About 99.7% of vehicles whose speeds are between 59 miles per hour and 77 miles per hour.
Empirical rule states that for a normal distribution, 68% lie within one standard deviations, 95% lie within two standard deviations, and 99.7% lie within three standard deviations of the mean.
Given that mean (μ) = 68 miles per hour, standard deviation (σ) = 3 miles per hour.
68% lie within one standard deviation = (μ ± σ) = (68 ± 3) = (65, 71).
Hence 68% of the vehicle speed is between 65 miles per hour and 71 miles per hour.
95% lie within two standard deviation = (μ ± 2σ) = (68 ± 2*3) = (62, 74).
Hence 95% of the vehicle speed is between 62 miles per hour and 74 miles per hour.
99.7% lie within three standard deviation = (μ ± 3σ) = (68 ± 3*3) = (59, 77).
Hence 99.7% of the vehicle speed is between 59 miles per hour and 77 miles per hour.
Find out more at: brainly.com/question/14468516
The area of the kite is 2.25 square feet
<h3>How to determine the area of the kite?</h3>
The area of the kite is calculated using:
Area = 0.5 * pq
Where p and q are the diagonals of the kite.
In this figure,
p = 3
q = 0.75 * 2 = 1.5
So, we have:
Area = 0.5 * 3 * 1.5
Evaluate
Area = 2.25
Hence, the area of the kite is 2.25
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Answer:
m=-5
Step-by-step explanation:
The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.
Given to us
A + [11 17 -8 13] = [0 0 0 0]
<h3>What is the value of matrix A?</h3>
We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,
A + [11 17 -8 13] = [0 0 0 0]
A = [0 0 0 0] - [11 17 -8 13]
A = [-11 -17 +8 -13]
Thus, the matrix is equal to [-11 -17 +8 -13].
<h3>why this matrix equation has no solution?</h3>
The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11 17 -8 13] is been added to it.
Thus, the sum of the two matrices has no solution.
Learn more about Matrices:
brainly.com/question/11367104
