Answer: The standard error of the mean = 0.5
Step-by-step explanation:
Given : Sample size : n = 144
Standard deviation :
The formula to find the standard error of the mean is given by :-
i.e.
Hence, the standard error of the mean =0.5
7(x - 6) = 28??????????????
2 answers:
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Hello!
The best approximation for the circumference is
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c = 2r
r = 300 ÷ 2
r = 150
c = 2 × 3.14 × 150
c = 942
<u>Answer:</u>
y = 5x (x+2)
<u>Step-by-step explanation:</u>
We are given the following the quadratic function and we are to rewrite it in intercept or factored form:
We can factorize the given expression so taking the common factors out of it to get:
Therefore, the factored form of the given quadratic function is y = 5x (x+2).
Step-by-step explanation:
We can write this word problem as two variables. Let us assume that:
x = Natalie's age
y = Fred's age
The first part of the word problem is that "If you add Natalie's age and Fred's age, the result is 39." Therefore:
Natalie's age + Fred's age = 39
x + y = 39
This will be our first equation. The second equation can be derived from the statement that "If you add Fred's age to 4 times Natalie's age, the result is 78." Therefore:
(4 times Natalie's age) + Fred's age = 78
4x + y = 78
We can now form a system of equations and solve for both x and y:
The simplest way to solve would be using the Substitution method, as seen here:
x + y = 39
y = 39 - x
4x + y = 78
4x + (39 - x) = 78
3x + 39 = 78
3x = 39
x = 13
x + y = 39
13 + y = 39
y = 26
Remember that x = Natalie's age and y = Fred's age. Therefore, Natalie's age is 13 years old and Fred's age is 26 years old.