Answer:
- 0.5379
Step-by-step explanation:
Given the data below :
(47, 8), (46, 10), (27, 10)
X:
47
46
27
Y:
8
10
10
Using the functionality of the correl() function in excel, which takes in the x and y values of a data. The value of correlation Coefficient (r) obtained is - 0.5379 which indicates that a fairly strong negative correlation exists between the x and y variables. As the the strength of correlation depends on how close the Coefficient is to 1 (strong) or 0 ( weak). Negative value indicates that an increase in the value of one variable leads to a decrease on the value of the other.
42 cm because if you divide 210 and 1260 it will make 6 so u just multiply it by 7 and u get 42
Using the Pythagorean Theorem,
radius^2 = 40^2 + 9^2
radius^2 = 1,600 + 81
radius^2 = 1,681
radius = 41
Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
<h3>What is interval notation?</h3>
It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.
We have:
Continuous set of all numbers between 5 and 6, including 5, but not including 6.
From the above statement we can represent the number in the interval notation:
The numbers are between 5 and 6.
(5, 6)
As it is mentioned that 5 is included and 6 is not included, then:
[5, 6)
Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
Learn more about the interval notation here:
brainly.com/question/13048073
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