Response:
Option B is correct
Step-by-step breakdown:
(One-tailed test at a significance level of 5%)
n = 16 and x̄ = 1.97
s = 0.1
Standard error of the mean = 
Difference in means = 
t statistic = Difference in means/se = -1.2
degrees of freedom = 16 - 1 = 15
p-value = 0.124375
(B) do not reject the null hypothesis since the test statistic (-1.2) is > the critical value (-1.7531).
Answer:
In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer
Step-by-step explanation:
The following information has been provided for this case:
symbolizes the population standard deviation
signifies the preferred margin of error
The formula for the margin of error of the actual mean is given as:
(a)
In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:
(b)
With a confidence level of 80%, and the significance level being 
and 
, the critical value is 
. Plugging in these values into formula (b) results in:
Thus, the solution for this situation results in n=16, rounded to the nearest whole number
Let X denote <span>the baby’s weight.
Let y represent </span>the doctor’s weight.
Let z stand for the nurse’s weight.
From the equations: x + y = 78 implies y = 78 - x
and x + z = 69 gives z = 69 - x
then we have x + y + z = 142
Substituting y = 78 - x and z = 69 - x into the equation x + y + z = 142
x + y + z = 142
x + 78 - x + 69 - x = 142
-x + 147 = 142
-x = -5
x = 5
Conclusion
<span>the baby’s weight was 5 kg</span>
Each box contained 15 tiles Step-by-step explanation: Let the number of tiles per full box be x. If we consider that Bruce utilized 6 full boxes of tiles along with 2 extra tiles, the total becomes (6x + 2) tiles. Similarly, if Felicia used 5 full boxes plus an additional 17 tiles, she would have (5x + 17) tiles. Since both used an equal number of tiles, we can equate the two: 6x + 2 = 5x + 17, simplifying to x = 15.
Answer:
56 cm
Step-by-step explanation:
To determine the GCD of these lengths, we begin by identifying the multiples of the smallest number. Here, we have:
The factors of 616=2*2*2*7*11
The factors of 448 =2*2*2*2*2*2*7
The common factors shared by both lengths are 2*2*2*7=56
Thus, the maximum piece length is 56 cm
