Answer:
0.2
Step-by-step explanation:
Subtraction
161616+444= 162,060
<h3>
Two possible answers: 6 or -6</h3>
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Explanation:
r = common ratio
To get any term in a geometric sequence, we multiply the previous term by r.
So that means 4r is the second term, since 4 is the first term.
The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.
4r^2 = 9
4r^2 - 9 = 0
(2r)^2 - (3)^2 = 0
(2r - 3)(2r + 3) = 0 ... difference of squares rule
2r-3 = 0 or 2r+3 = 0
2r = 3 or 2r = -3
r = 3/2 or r = -3/2
r = 1.5 or r = -1.5
We can use each r value to find the possible second term
S = 4r = 4*(1.5) = 6
S = 4r = 4*(-1.5) = -6
The second term is either 6 or -6.
We could have this sequence: 4, 6, 9, ...
Or we could have this sequence: 4, -6, 9, ...
Well since the line is headed to the left side, you know it has a negative slope, so B and C can be crossed out. Then, you know that point-slope form is written as y - y1 = m (x - x1)
So, you just plug in the numbers given on the graph, (4,-2)
You should come out with y + 2 = -2 (x - 4)
And that's the equation of the line in point-slope form!!! :)
Hope it helped and you understand it better!
D.) y + 2= -2 (x - 4)
Answer:
a.) Minimum test score = 41
Maximum test score = 95
b.)An approximate value of the standard deviation is 9.
Step-by-step explanation:
The given set of test scores is approximately bell shaped.
The mean of the test scores, 
= 68
The range of the data set = 54.
a.) i.) Minimum test score = 
ii.) The maximum test score = 
b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from 
and the maximum can also be approximated as 
.
From the above we can say that the range can be written as
∴ 
∴ 
Therefore an approximate value of the standard deviation is 9.
