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Daniel [21]
3 years ago
8

Y is directly proportional to x.

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Did you find the answer

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A dairy farmer plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the herd, the pasture mus
AysviL [449]

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

3 0
3 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
BigorU [14]

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)

4 0
4 years ago
The chorus has six sopranos and eight baritones. in how many ways can the director choose a quartet that contains at least one s
adell [148]
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:
14C4= \frac{14!}{4!(14-4)!}
14C4= \frac{14!}{(4!)(10!)}
14C4=1001

Now, the number of possible quartets without a soprano that you can have is:
8C4= \frac{8!}{4!(8-4)!}
8C4= \frac{8!}{(4!)(4!)}
8C4=70

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:
1001-70=931
We can conclude that the director can choose a quarter which contains at least one soprano in 931 ways. 

4 0
4 years ago
BJs sells apples in 3.5-pound bags. They sell 45 bags of apples each day. How many pounds of apples does BJs sell in 1 week? BJs
Tom [10]

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

6 0
4 years ago
(72 divided by 8-x2x3+1 plese help
Solnce55 [7]

Answer:

\frac{72}{-x^{5} +9}

Step-by-step explanation:

Let me know if that is not the same equation you wrote and if you have any questions !!

4 0
3 years ago
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