Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term
see the expanded form is -45
so the last terms of each binomial should multiply to -45
3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3
the question mark is 3
Answer: 6*x*y
Step-by-step explanation:
u have to do 2*3 first
(f o h) = -(x - 3/3) - 1
(f o h) = (-x + 3)/3 - 1
(f o h)(1) = (-1 + 3)/3 - 1
(f o h)(1) = 2/3 - 1
(f o h)(1) = -1/3
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Edited answer: The number is: "- 6" .
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8 (8 + x) = 16 ;
in which "x" represents the number for which to be solved ;
8*8 + 8*x = 16 .
Edit: 64 + 8x = 16 ;
Subtract "64" from each side of the equation:
Edit: 64 + 8x − 64 = 16 <span>− 64 ;
to get: 8x = </span>- 48 ;
Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;
Edit: 8x / 8 = -48 / 8 ;
Edit: x = - 6 .
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The number is: "- 6" .
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Let us check our answer, by plugging in "-6" for "x" in the original equation:
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8 (8 + x) = 16 ;
→ 8 [8 + (-6) ] =? 16 ?? ;
→ 8 (8 − 6 ) =? 16 ?? ;
→ 8 (2) =? 16 ?? ;
→ 16 = ? 16 ?? Yes!
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