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umka2103 [35]
3 years ago
8

A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the p

athway
Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

97.5 m^2

Step-by-step explanation:

Given data

Length = 65m

Width= 30m

We are told that the width of the path= 1.5m

Hence the area of the path is

=65*1.5

=97.5 m^2

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7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
3 years ago
What is a rational number between -1/4 and 2/5
Sliva [168]
.20 is a rational number between -1/4 and 2/5.

It can be part of a ratio.

20:100

A fraction

20/100 or 1/5

I hope this helps!
~cupcake
4 0
3 years ago
Pentagon jklmn is translated five units up. what is the name of the image after translation?
mrs_skeptik [129]

There will not be any specific name given to that image after translation

<u>Step-by-step explanation:</u>

  • Whatever may be the transformation, either it may be rotation, reflection or translation, the size or shape of the image will not change no matter what the condition is and hence the name of that image will also not change and remains constant.
  • Thus we can conclude that the name of the image will always tend to remain constant and not changes.

4 0
3 years ago
graph the solution to the following system of inequalities y&lt;-2x+7, y greater than or equal to 2x - 3 ​
Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality y First, draw the dotted line y=-2x+7 (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality y\ge 2x-3. First, draw the solid line y=2x-3 (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).

The intersection of both regions is the solution of the system of two inequalities.

6 0
3 years ago
Anny goes bowling. He has $25.00 to spend. He spends $4.25 to rent shoes. He spends $2.50 for each game he bowls. Which inequali
spayn [35]

Answer:

D. 25 +4.25x < 25

Step-by-step explanation:

7 0
2 years ago
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