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Ierofanga [76]
3 years ago
6

Find the greatest common factor of these three expressions. 18u^3 , 45u^2 , and 27u

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

9u

Step-by-step explanation:

18u³ / 9u = 2u²

45u²/9u = 5u

27u / 9u = 3

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Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of t
liraira [26]

Answer:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0:  proportion of fatal bicycle accidents in 2015 was the same for all days of the week

against the claim

Ha:  proportion of fatal bicycle accidents in 2015 was not the same for all days of the week

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (ni - npi)²/ npi

which has an approximate chi square distribution with ( n-1)=7-1=  6 d.f

4) The critical region is χ² ≥ χ² (0.05)6 = 12.59

5) Calculations:

χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28

χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]

χ²= 1/14.28[8.1364]

χ²= 0.569= 0.57

6) Conclusion:

The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

b.<u> It is r</u>easonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

6 0
3 years ago
In parts​ (a) through​ (c), determine which is the greater amount and by how much. ​a)​ $300 increased by 65​% or ​$600 decrease
kotegsom [21]

a is 390 = 390

b is 480 = 480

c is 360 = 360



4 0
3 years ago
GO DEEPER
irakobra [83]

Answer:

46

Step-by-step explanation:

6 0
3 years ago
You've flipped the coin 3 times, and it has come up heads once. The cumulative fraction of heads is currently 1/3. If you flip t
Contact [7]

Answer:

Maybe. Either 2/4 or 1/4.

Step-by-step explanation:

If you flip a coin 100 times, ABOUT 50 percent will be heads up. Therefore it's not unlikely it up land heads up 2 out of 4 times, but its not unlikely it will be heads down either.

7 0
2 years ago
Help please and thank you.​
SashulF [63]

Answer:

f

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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