The scale of a map says that 6 cm represents 15 km.
1 answer:
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Answer:
no solution
Step-by-step explanation:
There is no solution to this inconsistent system of linear equations. They describe parallel lines.
__
Adding twice the first equation to the second gives ...
2(5x +6y) +(-10x -12y) = 2(16) +(25)
0 = 57 . . . . . . . simplify. False
No values of x and y will make this statement true. There is NO SOLUTION to the system of equations.
Answer:
a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
Step-by-step explanation:
We have the standard deviation for the sample. So we use the 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 = 48 - 1 = 47
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0117
The margin of error is:
M = T*s = 2.0117*2.3 = 4.6
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 7.1 - 4.6 = 2.5 hours of sunlight per day
The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day
a) Compute the 95% confidence interval for the mean.
The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
b) Explain your confidence interval from part (a) in context.
The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.
Answer:
Step-by-step explanation:
Instead, since the divisor is in the form of , use what is called Synthetic Division. Remember, in this formula,
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 →
You start by placing the in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to
then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of
.
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