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sveticcg [70]
2 years ago
9

ANSWER ASAP!!!

Mathematics
1 answer:
denis23 [38]2 years ago
5 0

Answer:

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

Step-by-step explanation:

When an object is moving at a steady speed, we can calculate the time it would take to travel a given distance using the following formula:

time=\frac{distance}{speed} (equation 1)

In this particular, both the given speed and distance are mixed fractions so we'll first convert them into improper fractions to operate more easily:

speed=10\frac{1}{10} \frac{mi}{h} =\frac{(10*10)+1}{10} \frac{mi}{h}=\frac{101}{10}  \frac{mi}{h}

distance=4\frac{9}{10}mi=\frac{(4*10)+9}{10}mi=\frac{49}{10}mi

So, now we can calculate the time using the equation 1:

time=\frac{distance}{speed}=\frac{\frac{49}{10}mi }{\frac{101}{10} \frac{mi}{h} } =\frac{49*10}{101*10} h

time=\frac{49}{101}h=0.49h

And, if we want the result in minutes:

time=\frac{49}{101}h*\frac{60min}{1h}  =29.11min

Then, the object will take 29.11 min to travel 4\frac{9}{10}miles

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nalin [4]

Answer:

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855

Step-by-step explanation:

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding <em>z-scores</em> and subtracting P(z<z(0.29)) from P(z<z(0.37))

z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

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  • p is the proportion found in recent year found by research group (28% or 0.28)
  • N is the sample size (150)

Then z(0.37)=z=\frac{0.37-0.28}{\sqrt{\frac{0.28*0.72}{150} } } ≈ 2.4550 and P(z<2.4550)=0.993

z(0.29)=z=\frac{0.29-0.28}{\sqrt{\frac{0.28*0.72}{150} } } ≈ 0.2728 and P(z<0.2728)=0.6075

Then P(z(0.29)<z<z(0.37))=0.993-0.6075=0.3855

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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