Answer:
a) The new correlation coefficient should be the same: R = 0.72
Step-by-step explanation:
The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables.
It is a relative dimensionless measure, so it does not depend on the units of measurement of the variables involved.
If the variables are correlated in centimeters and kilograms, they will also be correlated in inches and pounds, and with the same relative magnitude.
So the answer is
a) The new correlation coefficient should be the same: R = 0.72
Answer:
The one on the top right
Step-by-step explanation:
For 1 ticket its $10. That graph shows each number of tickets by 10.
Answer:
87
Step-by-step explanation:
= 17 1/2 ÷ 1/5
= 35/2 (improper fraction should be used as a dividend) × 5/1 (the divisor will be reciprocal and the operation will be multiplication)
= 175/2
= 87 1/2
Since the question is how many ⅕, the fraction will not be included.
Answer:
x=7
Step-by-step explanation:
(3x+7)=4x
Subtract 3x from each side
(3x+7) -3x=4x-3x
7 = x
Answer:
Degree: 4; Type: quartic; Leading coefficient: 1
Step-by-step explanation:
Answer:
3, and -7
Step-by-step explanation:
First factor the trinomial
y=x2−4x−21
.
Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).
y = (x + 3)(x - 7)
Solving the 2 binomials, we get:
x = -3 and x = 7
We want to solve the given quadratic inequality.
The correct option is the second one, counting from the top.
So we need to solve:
x^2 - 4x - 21 ≤ 0
Because we have the graph, we can avoid all the algebra.
Notice that the equation must be equal to or smaller than zero, then we just need to find the values of x such that the graph intersects the x-axis or is below it.
By looking at the given graph, we can see that the given range goes from -3 to 7
Then the solution is:
-3 ≤ x ≤ 7
This would be represented with a number line going from -8 to 8, two closed circles (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is shaded.
The correct option is the second one.
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