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Step-by-step explanation:
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1)
6/b-1=9/7
Add 1 to each side
6/b-1+1=9/7+1
6/b=9/7+7/7
6/b=16/7
Multiply 1/6 to each side
6/b*1/6=16/7*1/6
1/b=16/42
1/b=8/21
b=21/8 or 2 5/8
Check:
6/b-1=9/7
6/21/8-1=9/7
6*8/21-1=9/7
48/21-1=9/7
16/7-1=9/7
16/7-7/7=9/7
9/7=9/7, so x=2 5/8
2)
4/m-8=8/2
Add 8 to each side
4/m-8+8=8/2+8
4/m=8/2+16/2
4/m=24/2
4/m=12
Multiply 1/4 to each side
4/m*1/4=12*1/4
1/m=3
m=1/3
3)
5/6=7n+9/9
5/6=7n+1
7n+1=5/6
Subtract 1 to each side
7n+1-1=5/6-1
7n=5/6-6/6
7n=-1/6
Multiply 1/7 to esvh side
7n*1/7=-1/6*1/7
n=-1/42
4)
4/9=r-3/6
Add 3/6 fo each side
4/9+3/6=r-3/6+3/6
24/54+27/54=r
51/54=r
17/27=r
Hope it help!
Answer:
540 mins | 9 hours | 540, 9
420 mins | 7 hours | 420, 7
300 mins | 5 hours | 300, 5
180 mins | 3 hours | 180, 3
Step-by-step explanation:
1 hour = 60 mins
To convert hours into minutes, multiply the number of hours by 60 minutes:
9 hours × 60 mins = 540 mins
7 hours × 60 mins = 420 mins
5 hours × 60 mins = 300 mins
3 hours × 60 mins = 180 mins
Answer: 2.511 lies in the rejection region, so we will reject the null hypothesis.
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Step-by-step explanation:
Since the null and alternate hypothesis are :
Since there is 0.05 level of significance,
So, there will be two tail test:
As we know that
z = -1.96 or z = 1.96
If the test statistic does not fall in the range of -1.96 to 1.96, we will reject the null hypothesis.
So, it becomes,
Since 2.511 lies in the rejection region, so we will reject the null hypothesis.
Hence, People does not seem to be representative of the Pet Food survey respondents.
