Answer:
It is supposed to predict the points, or the correlational relationship between variables.
Step-by-step explanation:
The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
<h3>What are inequality expressions?</h3>
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
<h3>How to determine the true expression of the variable x?</h3>
The inequality expression is given as
|8x - 2| < 4
Divide through the above equations by 2
So, we have the following inequality expression
|4x - 1| < 2
Remove the absolute value sign from the inequality expression
So, we have
-2 < 4x - 1 < 2
Add 1 to all sides of the above inequality expression
So, we have
-1 < 4x < 3
Divide through the above inequality expression by 4
So, we have
-0.25 < x < 0.75
Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
Read more about inequality at
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Answer:
Range of F(x) = (-∞ ,72).
Step-by-step explanation:
Range of the function F(x) means the set of values which are taken by the function along its domain.
F(x) = 72 - 
Since coefficient of is negative on the right side ,
Maximum value of F(x) will come at x = 0.
Which is, F(0) = 72.
Now, as x increases , F(x) decreases , when x will reach infinity ,
F(x) will be reaching negative of infinity .
Thus, F(x) is ranging from -∞ to 72 .
Range of F(x) = (-∞ ,72).
Answer:
Null hypothesis = H0 : μ = 60
Alternative hypothesis = H1 : μ < 60
Step-by-step explanation:
From the question given :
μ = 60 minutes
xbar = 44.27 minutes
s = 20.4 minutes
The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)
The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.
The hypothesis are :
H0 : μ = 60
H1 : μ < 60
Answer:
- 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
Step-by-step explanation:
- <em>Easy way to take one of the vertices and apply the transformations</em>
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
- True
- (-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
