The slope in the scatter plot is representative of the trend line. It shows a positive correlation between the independent variable and the dependent variable. since the slope is positive, the data increases.
The probability would be 0.1971.
We will calculate a z-score for each end of this interval.
z = (X-μ)/σ
For the lower limit:
z = (1100-1050)/218 = 50/218 = 0.23
For the upper limit:
z = (1225-1050)/218 = 175/218 = 0.80
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, the lower limit is 0.5910. The area under the curve to the left of, less than, the upper limit is 0.7881. To find the area between them, we subtract:
0.7881 - 0.5910 = 0.1971
Answer: The total surface area is 633.9
Step-by-step explanation:
12.25 times 15.75, then divide by 2 = 96.46875 (this is the area of the triangle
Then times 4 = 385.875 (Because there are four triangles
15.75 times 15.75 = 248.0625 (The area of the square)
The sum is 633.9375
Rounded = 633.9
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
Item a:
The sum of <u>all the probabilities has to be 1</u>, that is:
Thus:
The missing value is 0.04.
Item b:
The mean is given by the <u>sum of each outcome multiplied by it's probability</u>, thus:
The mean is of 0.37.
A similar problem is given at brainly.com/question/20709747
The equation for the nth term in the arithmetic sequence is 8n + 8.
The number of people that can be accommodated in the 16th row is 136.
<h3>What is an
arithmetic progression?</h3>
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Given that,
No. of seats in first row = 16
No. of seats in second row = 24
No. of seats in third row = 32
Total number of rows = 50
It forms an arithmetic progression
First term = a = 16
common difference d = 8
Number of terms, n = 50
(A) The formula for the n th term of an arithmetic progression is given by
Tn = a + (n - 1) d
= 16 + (n-1) 8
= 16 + 8n - 8
Tn = 8n + 8
(B) Now,
n = 16
The number of seats in 16 th row is given by
T(16) = 8 x 16 + 8
T(16) = 136 seats
Hence, (A)The equation for the nth term in the arithmetic sequence is 8n + 8. and (B) The number of people that can be accommodated in the 16th row is 136.
To learn more about arithmetic progression from the given link:
brainly.com/question/24205483
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