Answer:
Step-by-step explanation:
in the equation given these are the values:
a=1 b= -5 c= -7
if we plug this in the quadratic formula
this is simplified to
hope this helped
9. There are nine slips of paper numbered from 1 to 9 in a bag. Four slips are randomly selected without replacement to form a 4
1 answer:
Answer:
3024 numbers
336 numbers
Step-by-step explanation:
There are nine slips of paper numbered from 1 to 9 in a bag. Four slips are randomly selected without replacement to form a 4-digit number.
First digit is selected in 9 ways
now we have only 8 papers
second digit is selected in 8 ways
third digit is selected in 7 ways
fourth digit is selected in 6 ways
4 digit numbers = numbers
first digit is selected in only one way
second digit is selected in 8 ways
third digit is selected in 7 ways
fourth digit is selected in 6 ways
4 digit numbers = numbers
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Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
Answer:
( -1 , 26)
Step-by-step explanation:
So since you need to find the other endpoint, you would follow these steps:
1.)
2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)
3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)
You took the x values of both points and put them in the equation.
And its the same for y
1.)
2.) 16 = -10 + y
3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)