Given:
<span>population mean of μ = 63.5 inches
population standard deviation of σ = 2.5 inches
</span><span>adult woman who has a height of 50.4 inches
</span>
<span>z = (x – μ) / σ
z = (50.4 - 63.5) / 2.5 = -13.1 / 2.5 = -5.24
The z-value of an adult woman who has a height of 50.4 inches is -5.24 or -5.24 standard deviation below the mean. </span>
48S tep-by-step explanation:
1.5(x+4)-3=4.5(x-2)
First, distribute 1.5 into x and 4, and 4.5 into x and -2, to get rid of the parentheses. Everything that we do to solve this equation is to isolate x to solve for its value.
1.5x+6-3=4.5x-9
Combine like terms on both sides (6-3).
1.5x+3=4.5x-9
Subtract 1.5x from both sides.
3=3x-9
Add 9 to both sides.
12=3x
Divide both sides by 3.
4=x
The answer is 4.
I hope this helps :)
The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression will be solved as:-
f(x) = x³ + 10x² + 31x + 30
f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30
f(x) = ( x² + 7x + 10 ) ( (x + 3 )
f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )
f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )
f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )
Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).
To know more about Expression follow
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