Answer:
390 m (perpendicular to river) x 780 m (parallel to river)
Step-by-step explanation:
Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.
The total area and length of fence required are given by:
Rewriting the length of fence as a function of only x:
The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:
If x = 390 m, then:
The dimensions that will use the least amount of fencing are 390 m x 780 m
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
If you have six sopranos and eight baritones, you have fourteen musicians in total.
The number of possible quartets that you can get with 14 musician is:
Now, the number of possible quartets without a soprano that you can have is:
Therefore, the number of quarters that contains at list one soprano will be the number of possible quarters minus the number of quarters without a soprano:
We can conclude that the director can choose a quarter which contains at least one soprano in 931 ways.
Answer:
1102.5 pounds of apples will be sold in a week.
Step-by-step explanation:
Amount of apples in each bag = 3.5 pounds
If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45
= 157.5 pounds
Number of days in a week = 7
Amount of apples sold in one week = Apples sold in a day × Number of days in a week
Amount of apples sold in 7 days = 157.5 × 7
= 1102.5 pounds
Therefore, amount of apples sold in a week = 1102.5 pounds
Answer:
Step-by-step explanation:
Let me know if that is not the same equation you wrote and if you have any questions !!
