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lisabon 2012 [21]
3 years ago
5

Zach and his friends had a movie marathon on Saturday. Every movie they watched was 2 hours long. Seven hours into their movie m

arathon, Zach and his friends had watched 3 1/2 movies. Write an equation in standard form that expresses the number of movies they watched, y, as a function of the number of hours they spent watching movies, x.

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
Y is the number of movies
x is the number of hours
It takes 2 hours per movie
Thus:

y = x/2
2y = x
x - 2y = 0

The answer is C
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A tobacco company claims that its best-selling cigarettes contain at most 40 mg of nicotine. The average nicotine content from a
tatuchka [14]

Answer:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

df=n-1=15-1=14  

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

Step-by-step explanation:

Information provided

\bar X=42.6 represent the average nicotine content

s=3.7 represent the sample standard deviation

n=15 sample size  

\mu_o =40 represent the value to check

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

The statistic for this case would be:

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

And replcing we got:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

The degrees of freedom are:

df=n-1=15-1=14  

The p value would be:

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

6 0
3 years ago
Does anybody know what these type of problems are called please help
zavuch27 [327]
In the figure above, you are given the value of a start equal to 10 and the clover equal to 5. You are given a pole with three strings divided equally, the center string is tied to a wall and the two other strings carry either of the items. The first string has two stars and one clover which will have a total of 25 and the other string has one star and three clovers which will have a total of 25. The name of this type of problem is addition. Overall, the total weight of the items is 50.
4 0
3 years ago
Ratio 3 1/4 to 1 1/2 as a unit rate of 2 1/3
saw5 [17]

Answer:

True

Step-by-step explanation:

4 0
3 years ago
Tanya used 3/4 cup of flour to make 1/2 batch of muffins. How many cups of flour will she need to make 1 batch of muffins?​
Nostrana [21]

Answer:

1 1/2

Step-by-step explanation:

3/4*2=

3   2     6         1

-- *--  = ---- = 1 ----

4   1      4         2

3 0
3 years ago
Y=10,000(0.97)x predict purchasing power of $10,000 ten years later
Maksim231197 [3]

Answer:

It will be $7602.3

Step-by-step explanation:

The equation y = 10000(0.97)^{x} gives the purchasing power of $10000 after x years.

Therefore, the sum of money $10000 will value 10000(0.97)^{x} after x number of years.

Now, after 9 years i.e. x = 9 years, the sum value of $10000 will become y = 10000(0.97)^{9} = 10000 \times 0.76023 = 7602.3 dollars. ( Answer )

8 0
2 years ago
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