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Vesna [10]
3 years ago
9

If you can walk 4.9 miles in 2.9 hours, how many minutes does it take to walk 8.73 miles? Round to 1 decimal.

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Step-by-step explanation:

2.9 hours = 174mins

174 mins = 4.9miles

1 miles = 1740/49 mins

8.73 miles = 310.0mins (1dp)

Topic: Rate & Proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Fill in the blank with the phrase that makes the proof statement true.
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Answer:

the two angels are bisect each other

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An item is regularly priced at $31. It is now priced at a discount of 55% off the regular price.
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3 years ago
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
Brums [2.3K]

Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t 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 mean score is higher than 48, the system of hypothesis would be:      

Null hypothesis:\mu \geq 48      

Alternative hypothesis:\mu > 48      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

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

t-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:      

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

df=n-1=10-1=9

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

p_v =P(t_9>10.349)=1.34x10^{-6}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

5 0
3 years ago
The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh
Len [333]

Answer:

$11.65

Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

.20 * 58.25

So your answer is, $11.65.

To find the total of the bill including the tip it would just be

11.65 + 58.25 = 69.90

4 0
3 years ago
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