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Savatey [412]
3 years ago
13

Hong traveled 37.9 miles each day for the past 6 days. How many miles did he travel in all?

Mathematics
2 answers:
Elina [12.6K]3 years ago
8 0

Answer:

227.4 miles  hope this helps :3

CaHeK987 [17]3 years ago
4 0

Answer:

227.4 miles

Step-by-step explanation:

If Hong travelled 37.9 each day, then in 6 days :

37.9 × 6 = 227.4 miles

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Given that z is inversely proportional to t. When t = 9,z = 28. Find a) the value of z when t = 12 b) the value of t when z = 36
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\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7

3 0
2 years ago
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can tr
creativ13 [48]

Answer:

????!?

Step-by-step explanation:

4 0
3 years ago
g To do this, he selects 25 bags of this brand at random and determines the net weight of each. He finds the sample mean to be 1
Katena32 [7]

Answer:

Null hypothesis:\mu = 14  

Alternative hypothesis:\mu \neq 14

t=\frac{13.99-14}{\frac{0.24}{\sqrt{25}}}=-0.208    

Step-by-step explanation:

Assuming this previous info: Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are normally distributed with mean . A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is different with advertised and so intends to test the hypotheses

Data given and notation  

\bar X=13.99 represent the mean height for the sample  

s=0.24 represent the sample standard deviation for the sample  

n=25 sample size  

\mu_o =14 represent the value that we want to test

\alpha 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 check if the true mean is equal to 14 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 14  

Alternative hypothesis:\mu \neq 14  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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{s}{\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{13.99-14}{\frac{0.24}{\sqrt{25}}}=-0.208    

8 0
3 years ago
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