Rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation
2 answers:
Based on the table, the equation of the line of best fit to the nearest thousandths is equal to y = 1.671x + 4.699.
<h3>How to determine the equation of the line of best fit?</h3>Mathematically, the equation of the line of best fit is calculated by using this formula:
y = mx + c
<u>Where:</u>
- m is the slope.
- c is the intercept.
Based on the table, the slope and intercept to the nearest thousandths are equal to 1.671 and 4.699 respectively.
Therefore, the equation of the line of best fit is equal to y = 1.671x + 4.699.
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Answer:
5.
Step-by-step explanation:
==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
- Let's test it
Initial: 10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
--
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
--
Let's try our equation.
*Edit: I just seen that the question is related to the picture question
Answer:
a) 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Step-by-step explanation:
Given that:
Mean (μ) = 23500 kilometers per year
Standard deviation (σ) = 3900 kilometers
Confidence level (c) = 99% = 0.99
number of samples (n) = 100
a) α = 1 - c = 1 - 0.99 = 0.01
Using normal distribution table, is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.
The margin of error (e) is given as:
The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)
Confidence interval = 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3