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son4ous [18]
3 years ago
11

What is the solution to the following equation? 4x+1 = 21

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

4x +1 = 21

4x = 21 - 1

4x = 20

x = 20/4

x = 5

<h3>Value of X = 5 </h3>
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The mode of the upper quarter of the data.

Step-by-step explanation:

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Simplify the integrand:

\dfrac{4x^4 + 3x^2 + 5x}{x^2} = 4x^2 + 3 + \dfrac5x

Now integrate one term at a time.

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\displaystyle \int \frac5x \, dx = 5 \ln|x| + C

Putting everything together,

\displaystyle \int \frac{4x^4 + 3x^2 + 5x}{x^2} \, dx = \int \left(4x^2 + 3 + \frac5x\right) \, dx = \boxed{\frac43 x^3 + 3x + 5 \ln|x| + C}

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The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i
ioda

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>

<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>

<em>Test statistic</em>

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

  t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76

|t| = |-1.76| = 1.76

<em>Degrees of freedom </em>

<em>γ = n-1 =16-1 =15</em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131

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

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

6 0
3 years ago
Tom gets a bonus of 30% of £96
Alchen [17]

Answer:

The difference between their bonus is £2.60

Step-by-step explanation:

The bonus Tom receives is 30% of £96

Tom's bonus

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So the bonus Tom received is £28.8

From the question, Sally gets a bonus of £31.40

We need to find the difference between the bonus Tom gets and the bonus Sally gets.

This given by:

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