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evablogger [386]
3 years ago
14

Among fatal plane crashes that occurred during the past 6565 ​years, 613613 were due to pilot​ error, 7575 were due to other hum

an​ error, 470470 were due to​ weather, 311311 were due to mechanical​ problems, and 342342 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation​ safety, and can anything be done about​ it?
Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

We have different information and we need to make a table of that, so

cause...................Relative Frequency

Pilot Error............................613

Othe human error.............75

Weather...............................470

Mechanical Problems.....311

Sabotage............................342

Total: 1811

To calculate the relative distribution we need basically divide by the total and multiply for 100.

cause................................Relative Frequency

Pilot Error............................613/1811*100 =33.84%

Othe human error.............75/1811*100 = 4.1%

Weather...............................470/1811*100 = 25.95%

Mechanical Problems.....311/1811*100 = 17.17%

Sabotage...........................342/1811*100 = 18.88%

Total: 100%

So the relative frequency distribution is,

cause...................................Relative Frequency

Pilot Error............................33.84%

Othe human error.............4.1%

Weather..............................25.95%

Mechanical Problems.....17.17%

Sabotage...........................18.88%

Total: 100%

The vast majority of failures are made by pilots. The best thing to do is offer them more training. Many of these problems are due to ignorance of the terrain or carelessness due to the standardized level of security that flights generally have. Lack of practice in extreme situations can cause these problems.

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F(x)=3/x+2-√x-3 f(19)=​
77julia77 [94]

Answer:

  • - 27/7

Step-by-step explanation:

Given

  • f(x)=3/(x+2) - √(x-3)

To find

  • f(19)

Solution

  • f(19) =​ 3/(19 + 2) - √(19 - 3) = 3/21 - √16 = 1/7 - 4 = - 27/7
3 0
2 years ago
Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
Which expression is equivalent to 5(2x+3)-2x?
IrinaK [193]

Answer:

x= -15/8

Step-by-step explanation:

5(2x+3)-2x = 0

10x+15-2x = 0

8x= -15

x= -15/8

3 0
3 years ago
Read 2 more answers
The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.
expeople1 [14]

Answer:

If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

6 0
3 years ago
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Consider the hypothesis test below.
Pavel [41]

Answer:

Z_{H0} =1.79

p-value: 0.0367

Decision: Reject H₀

Step-by-step explanation:

Hello!

Hypothesis to test:

H₀:ρ₁-ρ₂=0

H₁:ρ₁-ρ₂>0

The statistic to use to test the difference between two population proportions is the approximation of Z

Z=<u>     (^ρ₁-^ρ₂)-(ρ₁-ρ₂)     </u>   ≈N(0;1)

   √ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>

                   

Z=<u>                    (0.28-0.15)-0                    </u>= 1.79

   √ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>

p-value

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

P(Z>1.79)= 0.0367

Conclusion:

Comparing the p-value against the significance level, you can decide to reject the null hypothesis.

I hope you have a SUPER day!

8 0
3 years ago
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