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insens350 [35]
4 years ago
10

Graph the line with slope -2 and y-intercept -3

Mathematics
1 answer:
N76 [4]4 years ago
6 0

step 1. go down to (0, -3) [only do this step once]

step 2. go down 2 units and to the right once.

step 3. repeat from step 2

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Aiden has a gross income of $63,000 and takes the standard deduction.
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To divide a number by 1,000, move the decimal point _____.
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3 years ago
Read 2 more answers
Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between whe
blagie [28]

Answer:

(26.32; 57.68)

See explanation below.

Step-by-step explanation:

Assuming the following question:

Pay your bills:

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 42 with a standard deviation of 8 days. Assume the data to be approximately bell-shaped.

Between what two values will approximately 95% of the numbers of days be?

Solution to the problem

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the average number of days between when a bill was sent out and when the payment of a population, and for this case we know the distribution for X is given by:

X \sim N(42,8)  

Where \mu=42 and \sigma=8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.975   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.025 of the area on the left and 0.975 of the area on the right it's z=-1.96. On this case P(Z<-1.96)=0.025 and P(z>-1.96)=0.975

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-1.96

And if we solve for a we got

a=42 -1.96*8=26.32

So the value of height that separates the bottom 2.5% of data from the top 97.5% is 26.32.  

For the other value since the distirbution is symmetric the other value that accumulates 0.975 of the area on the left and 0.025 on the right is z=1.96 and similarly:

z=1.96

And if we solve for a we got

a=42 +1.96*8=57.68

So the answer for this case would be (26.32; 57.68)

3 0
3 years ago
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