Solve the equationa) 4 + 3k = 4k - 2
1 answer:
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Given:
The data set is
21, 16, 30, 15, 16, 18, 10, 24, 26, 20, 19, 24, 24, 25, 23
10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30
To find:
The range, average and median for the given data set.
Solution:
Arrange the data set in ascending order.
10, 15, 16, 16, 18, 19, 20, 21, 23, 24, 24, 24, 25, 26, 30
(1)
Range = Maximum value - Minimum value
= 30 - 10
= 20
Therefore, the range of the given data set is 20. All the options are incorrect.
(2)
Therefore, the average score is about 20.73. All the options are incorrect.
(3)
Number of observations = 15, which is odd.
In the arranged data set 8th term is 21.
Therefore, the correct option is b.
Answer:
The domain is all real numbers (see the explanation)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (-5,-5)
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
In this problem
The domain is the interval (-∞,∞)
The domain is all real numbers
The range is the interval [-5,∞)
All real numbers greater than or equal to -5
The position vector of P and Q is P = ( 6 i -3j +9k ) , Q = ( 3i -6 j -3k) , the coordinates of R is ( 5 , -4 , 2)
<h3>What is a vector ?</h3>A vector is an object with both mass and magnitude.
It is given that
The coordinates of
P (6, -3,9 ) and Q (3, -6, -3)
point R divides line PQ internally in the ratio 1:2.
The position vectors of P, Q and R is given by p, q and r respectively.
The position vector of P and Q in terms of i, j, k is is
P = ( 6 i -3j +9k ) , Q = ( 3i -6 j -3k)
The magnitude of P =
|p| = 11.224
The magnitude of Q =
|q| = 7.348
The coordinate of R is
if a point (x,y,z) divides the line joining the points (x₁,y₁) ) and (x₂ ,y₂) in the ratio m:n, then
( x, y, z ) =
The m : n = 1 : 2
(x,y,z) =
(x,y,z) = 5 , -4 , 2
Therefore the coordinates of R is ( 5 , -4 , 2)
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