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Irina-Kira [14]
3 years ago
15

Ben also participated. He fell down midway, and had to walk part of the distance. Still, he finished the distance! It took him e

xactly 30 minutes though. Chapter Reference a What was Ben’s average speed?
Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

0.56 m/s

Step-by-step explanation:

The average speed of a body tells how fast is the body moving; it is calculated as:

v=\frac{d}{t}

where

d is the distance covered

t is the time elapsed

In this problem, we don't know the distance covered by Ben. Therefore, we will assume that it is 1 km:

d = 1 km = 1000 m

The time elapsed to cover this distance is:

t=30 min \cdot 60 =1800 s

Therefore, Ben's average speed is:

v=\frac{1000}{1800}=0.56 m/s

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A manufacturer of sprinkler systems designed for fire protection claims that the average activating temperature is at least 135°
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Answer:

z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

p_v =P(z  

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

Step-by-step explanation:

Data given and notation      

\bar X=133 represent the sample mean

\sigma=3.3 represent the standard deviation for the population      

n=32 sample size      

\mu_o =135 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mena is at least 135, the system of hypothesis would be:      

Null hypothesis:\mu \geq 135      

Alternative hypothesis:\mu < 135      

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:      

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

z=\frac{133-135}{\frac{3.3}{\sqrt{32}}}=-3.428      

Calculate the P-value      

Since is a one-side lower test the p value would be:      

p_v =P(z  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significantly lower than 135 so the claim not makes sense      

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3 years ago
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Answer:

B, C, E

Step-by-step explanation:

Got it right on edge

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The table shows the relationship between the two variables. Which selection describes the relationship?
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Answer:

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Step-by-step explanation:

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The coach bought a hamburger and a $1.75 drink for the 10 members of the team. He spent a total of $36.00. Write and nu solve an
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