Answer:
-.1
Step-by-step explanation:
The common difference in the arithmetic sequence can be found by doing term minus a previous term.
So 0.26-0.36=-.1
or 0.16-0.26=-.1
or 0.06-0.16=-.1
or -0.04-0.06=-.1
or -0.14-(-0.04)=-.1
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Answer:
Craig's collection increased by 20%.
Step-by-step explanation:
Original amount: 10
New amount: 12
To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:
12 - 10 = 2
The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:
Convert the decimal into a percentage:
0.20 * 100 = 20%
The percent increase of Craig's record collection is 20%.
The answer for what the ratio is for 4% is 4:100
The scenarios which matches the equation given are scenarios 3 and 4
Scenario 1 :
Let :
Cost of hamburger = x
Number of hamburgers = 1
Cost of Burritos = y
Number of burritos = 5
Amount spent on soda = $20
Total cost = $20
x + 5y + 2 = 20
Scenario 2 :
Price per shirt = x
2 shirts = x
A pair of shirt = x
5 pairs = 5x
Total Amount spent = $20
Additional amount spent = $2
x + 5x = $20 + $2
x + 5x = 22
Scenario 3 :
Amount spent per person = x
Amount spent on Sunday (2 persons) = 2x
Amout spent on Monday = number of plays × 2x = 5(2x)
Shoe rental = $2
Total Amout spent = $20
Equation : 2x + 5(2x) + 2 = 20
Scenario 4 :
Let :
Cost per diamond = x
Cost of 2 diamonds = 2x
Cost of gem = 5 times the cost of 2 diamonds = 5(2x)
Tax paid = $2
Total amount spent = $20
Equation : 2x + 5(2x) + 2 = 20
Hence, only scenario 3 and 4 matches the equation.
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