Answer:
a.
b.
Step-by-step explanation:
a. The equation of a polynomial can be written using its graph by finding the x-intercepts.
The graph has x-intercepts -4, 0, and 3. The x-intercepts are the solutions from the factors of the equation. -4 resulted from x+4. 0 resulted from x except at 0 it doesn't cross through. It touches meaning it has an even exponent likely . And 3 resulted from x-3. Putting these factors together is the equation in factored form.
b. If the function is shifted 2 units to the left then the x-intercepts become -6, -2, and 1. So the factors are .
Answer:
thanks!
Step-by-step explanation:
Answer: The answer is 40 minutes
Step-by-step explanation:
He only read 20 minutes last saturday so that means he needs to read 10 extra minutes so he can make up for the minutes he lost. Add 10 to 30 minutes and you get 40 minutes.
Answer:
Critical value: T = 2.8314
The 99% confidence interval for the population mean iron concentration is between 0.364 cc/m³ and 0.454 cc/m³
Step-by-step explanation:
We are in posession of the sample's standard deviation. So we use the student t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.8314, which is the critical value that should be used in constructing the interval.
The margin of error is:
M = T*s = 2.8314*0.016 = 0.045
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.409 - 0.045 = 0.364 cc/m³
The upper end of the interval is the sample mean added to M. So it is 0.409 + 0.045 = 0.454 cc/m³
The 99% confidence interval for the population mean iron concentration is between 0.364 cc/m³ and 0.454 cc/m³
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