<span> (3a - 4)</span>²
= (3a)² - 2*3a*4 + 4²
= 9a² - 24a + 16
answer this should be it 15460
Percent decrease : (original number - new number) / original number...x 100
percent decrease = (25 - 18) / 25....x 100
percent decrease = 7/25 * 100
percent decrease = 700/25 = 28%
The expression represented by 21 increased by twice Gail's height is 21 + 2g
<h3>What are expressions?</h3>
Expressions are mathematical statements that are represented by variables, coefficients and operators
<h3>How to translate the algebraic expression?</h3>
The expression is given as
21 increased by twice Gail's height
Where
g represents Gail's height
So, we have
21 increased by twice Gail's height ⇒ 21 increased by twice g
Twice means 2*
So, we have
21 increased by twice Gail's height ⇒ 21 increased by 2g
increased by means +
So, we have
21 increased by twice Gail's height ⇒ 21 + 2g
Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g
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Answer:
u = 4.604 , s = 2.903
u' = 23.025 , s' = 6.49
Step-by-step explanation:
Solution:
- We will use the distribution to calculate mean and standard deviation of random variable X.
- Mean = u = E ( X ) = Sum ( X*p(x) )
u = 1*0.229 + 2*0.113 + 3*0.114 + 4*0.076 + 5*0.052 + 6*0.027 + 7*0.031 + 8*0.358.
u = 4.604
- Standard deviation s = sqrt ( Var ( X ) = sqrt ( E ( X^2) + [E(X)]^2
s = sqrt [ 1*0.229 + 4*0.113 + 9*0.114 + 16*0.076 + 25*0.052 + 36*0.027 + 49*0.031 + 64*0.358 - 4.604^2 ]
s = sqrt ( 8.429184 )
s = 2.903
- We will use properties of E ( X ) and Var ( X ) as follows:
- Mean = u' = E (Rate*X) = Rate*E(X) = $5*u =
u' = $5*4.605
u' = 23.025
- standard deviation = s' = sqrt (Var (Rate*X) ) = sqrt(Rate)*sqrt(Var(X)) = sqrt($5)*s =
s' = sqrt($5)*2.903
u' = 6.49
