Answer:
k= -8
Explaining:
Move variable to the left-hand side and change its sign.
2.25k - 6.5k - 20= 6.5k - 6.5k + 14
Since two opposites add up to zero, remove them from the expression.
2.25k - 6.5k - 20= 14
Collect like terms!
-4.25k = 14 + 20
Add the numbers
-4.25k = 35
Divide both sides of the equation by -4.25
So you will get the answer: k= -8
Answer:
Step-by-step explanation:
what do u mean
By using the given graph:
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
<h3>
</h3><h3>
How to use the graph to find the values of the function?</h3>
Suppose that we want to find the value of the graphed function when x = a.
- Then we first need to identify x = a in the horizontal axis.
- Then we move upwards (or downwards) until we meet the curve of the function.
- Now you can move horizontally towards the vertical axis, where you can read the y-value associated to the x-value.
Now we can do these steps for each of the wanted values.
- When x = -2, the value of the function is f(-2) = 1
- When x = -0.5, the value of the function is f(-0.5) = 0.75
- When x = 0, the value of the function is f(0) = 1.25
- When x = 2.5, the value of the function is f(2.5) = 3
- When x = 6, the value of the function is f(6) = 0
If you want to learn more about how to read graphs:
brainly.com/question/4025726
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Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Sample size, n = 30
Tcritical value = 2.045
Null hypothesis :
H0: μ = 9.08
Alternative hypothesis :
H1: μ≠ 9.08
Sample mean, m = 8.25
Samole standard deviation, s = 1.67
Test statistic : (m - μ) ÷ s/sqrt(n)
Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)
Test statistic : - 0.83 ÷ 0.3048988
Test statistic : - 2.722
Tstatistic = - 2.722
Decision region :
Reject Null ; if
Tstatistic < Tcritical
Tcritical : - 2.045
-2.722 < - 2.045 ; We reject the Null
Using the α - level (confidence interval) 0.05
The Pvalue for the data from Tstatistic calculator:
df = n - 1 =. 30 - 1 = 29
Pvalue = 0.0108
Reject H0 if :
Pvalue < α
0.0108 < 0.05 ; Hence, we reject the Null
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