The correct answers are: 1/2, 2 and -2.
To get this, factor f(x)
f(x)=2x^3-x^2-8x+4
f(x)= (2x^3-x^2) - (8x -4)
f(x)= (2x-1)(x^2) + (2x-1)(-4)
f(x)= (2x-1)(x^2-4)
f(x)= (2x-1)(x-2)(x+2)
2x-1=0
2x=1
x=1/2
x-2=0
x=2
x+2=0
x=-2
He moved it at 30ft./minute
Answer:
B. 1/4
Step-by-step explanation:
Even though A is a fraction it is also an integer (4)
Answer:
<em> 85% level of the confidence interval is</em>
<em>(26.337, 26.662)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given the size of the sample 'n' = 295
Mean of the sample x⁻ = 26.5
The Standard deviation of the Population = 2.7
85% level of the confidence interval is determined by
![(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })](https://tex.z-dn.net/?f=%28x%5E%7B-%7D%20-%20Z_%7B0.15%7D%20%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%2C%20x%5E%7B-%7D%20%2B%20Z_%7B0.15%7D%20%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%29)
Critical value Z₀.₁₅ = 1.036
<em> 85% level of the confidence interval is determined by</em>
![(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })](https://tex.z-dn.net/?f=%28x%5E%7B-%7D%20-%20Z_%7B0.15%7D%20%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%2C%20x%5E%7B-%7D%20%2B%20Z_%7B0.15%7D%20%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%29)
![(26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })](https://tex.z-dn.net/?f=%2826.9%20-1.036%20%5Cfrac%7B2.7%7D%7B%5Csqrt%7B295%7D%20%7D%20%2C%2026.5%20%2B%201.036%20%5Cfrac%7B2.7%7D%7B%5Csqrt%7B295%7D%20%7D%29)
( 26.5 - 0.1628 , 26.5+0.1628)
(26.3372,26.6628)