Find an equivalent expression using the Distributive Property. g^3(7+g)
1 answer:
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Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.
Answer:
Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)
Step-by-step explanation:
Let us find out the mean savings for a televisit to the doctor from the given data.
Using Excel,
=AVERAGE(number1, number2,....)
The mean is found to be
Let us find out the standard deviation of savings for a televisit to the doctor from the given data.
Using Excel,
=STDEV(number1, number2,....)
The standard deviation is found to be
The confidence interval is given by
Where the margin of error is given by
Where n is the sample of 20 online doctor visits, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.
The t-score is given by is
Significance level = α = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom = n - 1 = 20 - 1 = 19
From the t-table at α = 0.025 and DoF = 19
t-score = 2.093
So, the margin of error is
So the required 95% confidence interval is
Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)
