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Andre45 [30]
3 years ago
8

What is the least perimeter of a rectangle with an area of 32 square feet

Mathematics
1 answer:
DiKsa [7]3 years ago
3 0
<span> The least perimeter occurs when rectangle is square. 

So you can start by taking square root of area; </span>√32

So each side is √32 and there are 4 sides

Hence least perimeter is 4√32 = 16√2 ≈ 22.627.
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Which sample fairly represents the population? Check all that apply. measuring the heights of every fiftieth person on the schoo
solniwko [45]
Option 1:

<span>Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
</span>
Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.

Option 2: 

<span>Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment 

Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.

Option 3:
</span><span>
Observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
</span>
Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.

Option 4: 

<span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

Comment: This sampling does fairly represent the population, although it might be an idea to scale down the sample population, i.e. every fiftieth parent. 

Answer: Option 4</span>
5 0
3 years ago
Read 2 more answers
Bridget is on her middle school’s basketball team. In it’s last game, her team made 31 of it’s shots. Some of those were free th
aksik [14]

Answer:

Step-by-step explanation:

Let the number of free throws = x

And the number of regular field goals = y

Total shots made by the team = 31

Equation for the shots will be,

x + y = 31 ------(1)

If the team gets 1 point for free throws and 2 points for a regular field goal,

x + 2y = 49 --------(2)

[total points gained by the team = 49]

1). Option (2) is the correct option.

2). Subtracting equation (1) from equation (2),

  (x + 2y) - (x + y) = 49 - 31

  y = 18

  Therefore, number of  regular field goals made by the team = 18

7 0
2 years ago
In Kayllie'srecipe for lemonade, the ratio of lemons to water is 7 to 4. People are complaining that the lemonade is too weak. W
N76 [4]

Answer:

C

Step-by-step explanation:

Here are the options to this question :

A) 5 to 3

B) 7 to 5

C) 8 to 4

D) 8 to 5

The proportion of lemons in the lemonade is 7 while the proportion of water in the lemonade is 4.

In order to make the lemonade stronger, the proportion of lemon in the mixture should be increased or the proportion of water in the mixture should be reduced.

Looking at the options, option C is correct. The proportion of lemon is increased

7 0
2 years ago
3^4 + 3 ⋅ 5 = ____. (Input whole numbers only.)
valkas [14]

Answer:

96

<u><em>Calculate</em></u>

3^4+3\times5

<u><em>Calculate the power</em></u>

81+3\times5

<u><em>Calculate the product or quotient</em></u>

<u><em /></u>81+15

<u><em>Calculate the sum or difference</em></u>

96

<em>I hope this helps you </em>

<em>:)</em>

<u><em /></u>

8 0
2 years ago
Read 2 more answers
Find the discriminant and the number of real roots for this equation.<br> x2 + 2x + 7 = 0
zavuch27 [327]

Answer:

Discriminant = -24

No real roots.

Step-by-step explanation:

x^2 + 2x + 7 = 0

The discriminant = b^2 - 4ac

= 2^2 - 4*1*7

= -24

So there are no real roots.

8 0
3 years ago
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