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Nesterboy [21]
3 years ago
7

If a fire engine is traveling down the interstate driving 55 mph and reaches the reported vehicle fire 13 minutes, approximately

how far did the engine travel?
Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

\large \boxed{\text{12 mi}}

Step-by-step explanation:

1. Convert miles per hour to miles per minute

\text{Speed} =\dfrac{\text{55 mi}}{\text{1 h}} \times \dfrac{\text{1 h}}{\text{60 min}}= \text{0.917 mi/min}

2. Calculate the distance

Distance = speed × time

d = \text{13 min} \times \dfrac{\text{0.917 mi}}{\text{1 min}} = \textbf{12 mi}\\\text{The engine travelled about $\large \boxed{\textbf{12 mi}}$}

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A sample of 1500 computer chips revealed that 37% of the chips fail in the first 1000 hours of their use. The company's promotio
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Answer:

z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59  

Step-by-step explanation:

Data given and notation

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p_o=0.39 is the value that we want to test

\alpha represent the significance level

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 actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:  

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Alternative hypothesis:p \neq 0.39  

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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 requires we can replace in formula (1) like this:  

z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59  

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