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3 years ago

What is the maximum area of a rectangle with a perimeter of 60 km?

1 answer:

5 0

The maximum area for a rectangle will always be when it is in the shape of a square, meaning all sides are the same length. That being said, if the perimeter is 60, we know that the side of the square is 15km. So now we can square the side to get the area so 15km*15km = 225km^2

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The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the s

iragen [17]

Answer:

$0.1375$ to $0.3624$

Step-by-step explanation:

Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.

To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.

Solution:

n = 227

x = 57

Formula of confidence for proportion: $\widecap{p}-z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$ to $\widecap{p}+z_{\frac{\alpha}{2}}\sqrt{\frac{\widecap{p}\widecap{q}}{n}}$

$\widecap{p}=\frac{x}{n}$

$\widecap{p}=\frac{57}{227}$

$\widecap{p}=0.25$

$\widecap{q}=1-\widecap{p}$

$\widecap{q}=1-0.25$

$\widecap{q}=0.75$

z at 95% is 1.96

Substitute the values in the formula :

Confidence for proportion: $0.25-1.96\sqrt{\frac{0.25 \times 0.75}{57}}$ to $0.25+1.96\sqrt{\frac{0.25 \times 0.75}{57}}$

Confidence for proportion: $0.1375$ to $0.3624$

Hence 95% confidence interval for the proportion of complaints that were about the slow speed of the service is $0.1375$ to $0.3624$

6 0

3 years ago

Read 2 more answers

Mark paid $54.60 to fill his car's gas tank. The gas tank was empty and the cost of gasoline was $3.90 per gallon.

Ray Of Light [21]

54.60/3.90=14
Mark’s gas tank will fill up with 14 gallons of gas.

4 0

3 years ago

Help please!?

shutvik [7]

Together, the area of the two bases is
(6 in)×(8 in) = 48 in²

The lateral area is the product of the height of the prism (2 in) and the perimeter of the base (6 in +8 in +10 in), so is
(2 in)×(24 in) = 48 in²

The total area is the sum of these
area = 48 in² +48 in² = 96 in² . . . . . . . . . matches the 3rd selection

3 0

3 years ago

Simplify (5x^2+3x+4)+(5x^2+5x-1)

a_sh-v [17]

Answer:

10x^2+8x+3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

In a small company of 10 people the salaries are as follows: 5 people earn $25,000, 3 earn $27,000, 1 earns $34,000, and the own

Lady_Fox [76]