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Viktor [21]
3 years ago
14

Given thatX2: (20 – 3x) = 1 : 2find the possible values of x.​

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

Step-by-step explanation: x^2 : (20 - 3x) = 1 : 2

2x^2 + 3x - 20 = 0

(x + 4)(2x - 5) = 0

Solution:

x = -4

x = 5/2

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Zolol [24]
For 4, the answer should be 3:1
To find that answer take 1.5 and divide it by 0.5

And for 5, the answer would be 3/4
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The intercept form of the equation is
  x/x-intercept +y/y-intercept +z/z-intercept = 1
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The 1st selection is appropriate:
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3 years ago
The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average
Reil [10]

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

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

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

<u><em> Null hypothesis : H₀ : μ = 5.5</em></u>

<u><em>  Alternative Hypothesis : H₁ : μ < 5.5</em></u>

 Level of significance ∝ = 0.01

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

 The test statistic

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

                             t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

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

<u><em>P - value</em></u>

<u><em>The degrees of freedom γ = n-1 = 16-1 =15</em></u>

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

<u>Condition(i)</u>

P - value < ∝ then reject H₀

<u>Condition(ii)</u>

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

<em>(or)</em>

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

<u><em>Conclusion</em></u>:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

<u><em></em></u>

             

4 0
3 years ago
Solve by factoring:4x^6+4x^5-24^4=0
Len [333]

Answer:

you could only get to “4x^6+4x^5-331776=0” that would be the simpliest form

Step-by-step explanation:

6 0
3 years ago
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