The different expressions that represent the price of the item after tax will be p + 6/100p and p + 0.06p.
<h3>How to illustrate the expression?</h3>
The first expression will be:
= p + (6/100 × p)
= p + 6/100p
The second expression will be:
= p + (6% × p)
= p + 0.06p
It should be noted that both expressions are equal.
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Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, 
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
The expression for g(x) is wrong, you skipped some signs and, apparentely, some parentheses. The rigtht expression for g(x) should be g(x) = 3(x+1) + 4. Note that g(x) = 3(x+1) + 4 it is the same that f(x+1) + 4. When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.
For the answer to the question on w<span>hich steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? The answer to this question is
</span>f(x) = 3x one unit to the left and four units up
Answer:
40 different arrangements of songs
Step-by-step explanation:
I think that you assumed that:
2k - 1 = k + 2
However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides.
This means that we can say
4(2k - 1) = 3(k + 2)
We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.
Lets expand the brackets, and solve it:
4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6 ( subtract both sides by 3x to collect the x values)
5k = 10 (add both sides by 4 to get the x's alone)
k = 2 (divide both sides by 5 to get what just x is)
So k = 2 units
