Find the value of r so the line that passes through the pair of points has the given slope.
1 answer:
Answer:
The missing value in the ordered pair is 66
Step-by-step explanation:
Given that:
(12,10) and (-2,r)
Slope = m = -4
We have to find the value of r so that the line has a slope of -4.
Slope is the steepness of line which is denoted by m.
Here,
Putting the values in slope of line formula,
Multiplying both sides by -14
The value of r is 66
Hence,
The missing value in the ordered pair is 66
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Answer:
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 8 - 1 = 7
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.3246
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg
The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = =
, then
x = (
) ≈ 38.7° ( to 1 dec. place )