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Pie
3 years ago
5

Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at thi

s height, how long would the truck’s ladder have to be and how much would it weigh? Based on this, do you think Pierce should manufacturer this apparatus? Explain.
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
7 0
In the most ladder trucks are 75 to 105 feet. There may be some specialty ladder trucks around that reach to 125 feet. The length of a ladder truck is limited by weight that can move on a road and the strength of the metal used to make it. Although these ladders look very strong, but when you are at the top of a fully extended ladder on a windy day it will sway back and forth. The 105-foot aerial ladder can reach 7 to 8 stories depending on the height of the stories
To fight a fire above the reach of a ladder, firefighters use the stairs. They may also use the elevators if we can isolate them and can control the doors.
To reach the 25th floor of an office building, the ladder should be approx. 225 ft long and it is not feasible at all to manufacturer this apparatus considering the weight.
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The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo
Georgia [21]

Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

p_v =P(z>2.530)=0.0057  

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

7 0
4 years ago
Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that
taurus [48]

Answer:

8

Step-by-step explanation:

4.5x+10<=50

4.5x<=50-10

4.5x<=40

x<=8.9

round down because can't go beyond 50

x=8 max

8 0
3 years ago
Read 2 more answers
What is the value of x?
trapecia [35]
3/4 = x / 7.5
4x = 3(7.5)
4x = 22.5
  x = 5.625
8 0
3 years ago
Which of the following ordered pairs is a solution of X+1/2y=1
denis23 [38]
-2+1/2 (6) I'd 1 so A is correct
6 0
4 years ago
Dennis needs to fix a leaky roof on his house but does not own a ladder. He thinks that a 25-foot ladder will be
Mars2501 [29]

Answer:

Step-by-step explanation: 2/8 =h/2

3 0
3 years ago
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