You are planning to make an open rectangular box from aa 4141-in.-by-8181-in. piece of cardboard by cutting congruent squares
1 answer:
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =
Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches
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The amount of sugar in the starting solution contributes to a 36% concentration, so we have
units of sugar in the solution.
Into this solution, Sharon wants to pour liters of water to obtain a smaller concentration of sugar in the overall solution:
So Sharon needs to add liters of water to the solution to get the desired concentration.
Answer:
a)
b)
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:
Part b
The p value would be given by this probability:
Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Answer:
The distance should be
Step-by-step explanation:
Distance formula