Find A ∩ B A = {2, 3, 4, 5, 6} B = {3, 6, 9, 12, 15}
2 answers:
You might be interested in
Answer:
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
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 = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.0141
The margin of error is:
M = T*s = 2.0141*170.5 = 343.4
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 390.47 - 343.40 = 47.07 units per month
The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Answer:
Step-by-step explanation:
Co-ordinates of F, G and H are:
F (-4, 5)
G (1, 10)
H (-9, 10)
You can find the lengths of sides by using the distance formula:
<em>length</em>(FG) = =
units
Similarly,
<em>length</em>(GH) = 10 units
<em>length</em>(HF) = units
Hence, perimeter will be:
P = <em>length</em>(FG) + <em>length</em>(GH) + <em>length</em>(HF) = units
the explicit formula for aₙ the nth term of the sequence will be:
Step-by-step explanation:
The explicit formula of geometric sequence is of the form:
where a₁ is the first term and r is the common ratio.
We are given:
a₁ = 6
r = 2/3
Putting values in the formula:
So, the explicit formula for aₙ the nth term of the sequence will be:
Keywords: Explicit formula for geometric sequence
Learn more about Explicit formula for geometric sequence at:
#learnwithBrainly