Answer:
B 2x-31 = -2x-31
Step-by-step explanation:
A is exactly the same on the left side as the right so it has infinite solutions
B 2x-31 = -2x-31
Add 2x on each side
2x+2x-31 = -2x+2x-31
4x -31 = 31
Add 31
4x =62
This has one solution
C 2x+31 = 2x-31
Subtract 2x from each side
31 = -31
This is never true so it has no solutions
D 2x-2 = 2x-31
Subtract 2x from each side
-2 = -31
This is never true so it has no solutions
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
Answer:
The GCF is 3
Step-by-step explanation:
Answer:
It goes into 100356 290 times with a remainder of 16
Step-by-step explanation:
100356/346 = 290 R 16
Answer:
(x,y) = (3x,3y)
Step-by-step explanation:
