7 x 10^5
+ 2 x 10^4
+ 0 x 10^3
+ 0 x 10^2
+ 8 x 10^1
+ 0 x 10^0
Answer:
No. Operations manager cannot conclude that his mail-order business is achieving its goal.
Step-by-step explanation:
We make hypothesis test about the manager's assuption:
Null hypothesis, : Average number of days to fill customers' orders is six or less
Alternate Hypothesis: : Average number of days to fill customers' orders is more than six.
According to the null hypothesis we assume number of days to fill customers' orders follows a normal distribution with mean 6 and standard deviation 1.5. We would test if the sample mean is in the critical field or not in the given significance level.
One tailed critical value for the significance level 0.025 is 1.96. We'll compare this value with the z-score of the sample mean 6.65, which is calculated as:
z= ≈ 2.74 where
- 6,65 is the sample mean
- 6 is the null hypothesis
- 1.5 is the standard deviation
- 40 is the sample size
Since 2.74>1.96, we can conclude that sample mean is in the critical region, we reject the null hypothesis.
Therefore operations manager can conclude that average number of days to fill customers' orders is more than 6 days.
Answer:
54 feet
Step-by-step explanation:
Perimeter of a rectangle = 2 × (length + breadth)
The perimeter of Edwin's garden is 36 feet :
36 = 2 x (length + breadth)
divide both sides by 2 to determine the sum of the length and breadth of Edwin's garden
36/2 = (length + breadth)
18 = (length + breadth)
Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden
The dimensions of Tony's garden is :
(4 + l) + (5 + w) = 9 + l + w
Where :
l = length
w = width
The sum of the length and breadth of Tony's garden would be 9 feet more than that of Edwin
Sum of Edwin's garden = 9 + 18 = 27
Perimeter of Edwin's garden = 27 feet x 2 = 54 feet
An algebraic expression that represent the worded expression would be (x is representing the unknown number) 3x-4, since the worded expression asks for "four less than three times a number" meaning you subtract 4 from the product of 3 and the unknown number.