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3 years ago

6

in a single elimination tournament starting with 128 teams, half of the remaining teams are eliminated in each round. a) make a

table,a scatter plot and a function rule to represent the situation b) is it possible for 24 teams to remain after a round? which representation in part (a) made it the easiest to answer the question? c) what is the domain of the function? what does the domain represent? d) how many teams will be left after 5 rounds

1 answer:

lesya [120]3 years ago

7 0

B) no
c) D: (0, 128) domain is what are the possible numbers that can be put into a function. the reason it is 0 to 128 is because you cant have a negative number in this situation and 128 is the max because thats what you started out with
d) 4 teams

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Simplified<br> Quickly please

UkoKoshka [18]

Answer:

3a:20d+35

3b:35u+49q+56

4a:15+20t

4b:96k+120t+84

5a:24t+108m+60

5b:56q+28b+35

6a:14q+10w+24

6b:54v+99+27t

7a:16g+24+24c

7b:30a+55+50d

(i think thats what they are but the picture is small so its kind of hard to see)

Step-by-step explanation:

(since theres 10 total ill just give an example on how i solved 5a)

5(4d+7)

simplify into: (5•4d)+(5•7)

multiply: (20d)+(35)

since you do not know what d is, you cannot add them

remove parentheses once done:20d+35

(you don't need parentheses since multiplication come before addition but its easier to just use them)

<h2>Hope this helps</h2>

4 0

3 years ago

Can someone help me out with this

katen-ka-za [31]

Answer:

$AB=4.41$

Step-by-step explanation:

Use the cosine ratio, $cosine=\frac{adjacent}{hypotenuse}$ . Insert the values:

$cos25=\frac{4}{x}$

Isolate x. Multiply both sides by x:

$x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4$

Divide both sides by cos 25:

$\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}$

Insert into a calculator:

$x=4.414$

Round to the nearest hundredth:

$x=4.41$

Done.

5 0

3 years ago

Yakvenalex [24]

Answer:

7 -if rounded to the nearest tenth would be 10

Step-by-step explanation:

The median is the number in the middle so

6-6-7-7-10-12-14

There are 7 numbers here so the middle number is 4 because there are 3 numbers before 4 and 3 numbers after 3 to get to 7 (that’s really hard to explain sorry but it’s a simple concept) my trick is to write it down then use two fingers to point at the first and last number and keep doing that moving in til I get to the middle number, which is 7. :)

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3 years ago

Marco missed 4 questions on the test but answered 75% of the questions correctly.How many questions were on the test?

Nutka1998 [239]

Answer:10

Step-by-step explanation:

4 0

3 years ago

A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.

gizmo_the_mogwai [7]

Answer:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

$p_v =P(z>0.280)=0.390$

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=3.1$ represent the sample mean

$\sigma=\sqrt{6}$ represent the sample standard deviation for the sample

$n=47$ sample size

$\mu_o =3$ 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 mean is higher than 3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3$

Alternative hypothesis: $\mu > 3$

If we analyze the size for the sample is > 30 and we know the population deviation so 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:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

P-value

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

$p_v =P(z>0.280)=0.390$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

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3 years ago