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3 years ago

A rectangle poster has a length of 24 inches,what is the perimeter of the poster?

Mathematics

1 answer:

yanalaym [24]3 years ago

6 0

Answer: 72 inches

Step-by-step explanation:

To find the perimeter of a rectangle, simply follow this equation:

$L+L+W+W$

Or alternatively,

$2L+2W.\\$

We know that the Length (L) is equal to 24 inches and the width (W) is 12 inches.

So just add it into the equation and solve!

- Option 1

$24+24+12+12 = p\\48+24=p\\72=p$

- Option 2

$2(24)+2(12)=p\\48+24=p\\72=p$

Either way you do it, the answer is 72 inches.

Hoped this helped!~

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A man sells sugarcane juice in 200ml per one cup. How many cups of sugarcane juice can he dispense from his big rectangular tank

kozerog [31]

Answer:

702

Step-by-step explanation:

multiply 65*40*54

equals 140400

it conversion cm cube is equal to ml

140400/200

it equals 702 cups

4 0

3 years ago

The ratio of the number of boys to the number of girls in a school is 5:7.If there are 600 students in the school,how many girls

nekit [7.7K]

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.
600/12 = a

Simplify
50/1 = a
50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.
50(5) = b
250 = boys

50(7) = x
350 = x

There are 350 girls.

3 0

3 years ago

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Heights of men have a bell-shaped distribution, with a mean of 176 cm and a standard deviation of 7 cm. Using the Empirical Rule

Vaselesa [24]

Answer:

a) 68% of the men fall between 169 cm and 183 cm of height.

b) 95% of the men will fall between 162 cm and 190 cm.

c) It is unusual for a man to be more than 197 cm tall.

Step-by-step explanation:

The 68-95-99.5 empirical rule can be used to solve this problem.

This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.

a) What is the approximate percentage of men between 169 and 183 cm?

To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:

$\mu-\sigma=176-7=169\\\mu+\sigma=176+7=183$

Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.

b) Between which 2 heights would 95% of men fall?

This corresponds to ±2 standard deviations off the mean.

$\mu-2\sigma=176-2*7=162\\\\\mu+2\sigma=176+2*7=190$

95% of the men will fall between 162 cm and 190 cm.

c) Is it unusual for a man to be more than 197 cm tall?

The number of standard deviations of distance from the mean is

$n=(197-176)/7=3$

The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.

It can be said that is unusual for a man to be more than 197 cm tall.

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3 years ago

If x = 4, which inequality is true? A) -2 -3x 12 C) 2x -4 -13 Show your work

wolverine [178]

Answer:

true

Step-by-step A

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3 years ago

The point (p,q) is on the graph of values from a ratio table. What is another point on the graph?

Anestetic [448]

In the previous activities, we constructed a number of tables. Once we knew the first numbers in the table, we were often able to predict what the next numbers would be. Whenever we can predict numbers in one row of a table by multiplying numbers in another row of a table by a given number, we call the relationship between the numbers a ratio. There are ratios in which both items have the same units (they are often called proper ratios). For example, when we compared the diameter of a circle to its circumference, both measured in centimeters, we were using a same-units ratio. Miles per gallon is a good example of a different-units ratio. If we did not specifically state that we were comparing miles to gallons, there would be no way to know what was being compared!

When both quantities in a ratio have the same units, it is not necessary to state the unit. For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies. If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent). How do we get this? One way would be to build a table where the second row was always one and a half times as much as the first row. This is the method we used in the first two lessons. Another way is to express the items being compared as a fraction complete with units:

6 ounces
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3 years ago

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