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andrew-mc [135]
3 years ago
8

Please help Answer fast

Mathematics
1 answer:
algol133 years ago
7 0

Answer:

k = 2

Step-by-step explanation:

Based on the right triangle altitude theorem, thus:

4 = √(k*8)

Square both sides

4² = k*8

16 = 8k

Divide both sides by 8

16/8 = 8k/8

2 = k

k = 2

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Step-by-step explanation:

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Let f(x)=16x^5-48x^4-8x^3 and g(x)= 8x^2. find f(x)/g(x)
Gekata [30.6K]

Answer:

2x³ - 6x² - x

Step-by-step explanation:

Divide each term in f(x) by g(x), that is

\frac{16x^5}{8x^2} - \frac{48x^4}{8x^2} - \frac{8x^3}{8x^2}

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4 years ago
Read 2 more answers
n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that
BartSMP [9]

Answer:

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the Population (μ) = 5.4</em>

<em>Given sample size 'n' = 9</em>

<em>Mean of the sample (x⁻) = 5.7</em>

<em>Standard deviation of the sample (s) = 0.81</em>

<u><em>Step(ii):-</em></u>

<em>Null Hypothesis: H₀:</em>  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

<em>Alternative Hypothesis : H₁:</em>  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

           t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }

         t = 1.11

<em>Degrees of freedom </em>

<em>ν = n-1 = 9-1 =8</em>

t₀.₀₁₅ , ₈  = 2.89

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

<em></em>

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7 0
3 years ago
A paperweight in the shape of a hemisphere is shown. It has a volume of 231.6 cubic centimeters.
kolezko [41]

Answer:

2/3*22/7*r^3=231.6

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r^3=231.6/2.0952

r^3=

Step-by-step explanation:

2/3*22/7*r^3=231.6

2.0952r^3=231.6

r^3=110.5384

cuberoot 110.5384

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melamori03 [73]
Each person coulg get one and you would have 2 left over or you can divide the 2 into 6 even peices
4 0
3 years ago
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