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vladimir2022 [97]
3 years ago
8

A student claims that the expression “9 times the sum of a number and 13” is translated to the algebraic expression 9n + 13. Is

the student correct? If not, what is the correct expression?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Answer:

The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.

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A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in squar
Sholpan [36]

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

7 0
3 years ago
What is the value of x?
inn [45]




MN = MA + AN =67.2m

MA + 3.2m = 67.2m

MA = 64m


Similary,

MP = 81.9


As
AB || NP

Then by Thale's theorem,

\frac{MA}{MN}  =  \frac{ MB}{MP }   \\  \\  \frac{64}{67.2}  =  \frac{x}{81.9}   \\   \\ x =  \frac{64}{62.7}  \times 81.9 = 83.59
4 0
3 years ago
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable , whose possible values
Naddika [18.5K]

For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:

  • P(X = 0) = 0.40.
  • P(X = 1) = 0.04.

<h3>What is needed for a discrete random variable to represent a probability distribution?</h3>

The sum of all the probabilities must be of 1, hence:

P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.

Then, considering the table:

P(X = 0) + P(X = 1) + 0.15 + 0.17 + 0.24 = 1

P(X = 0) + P(X = 1) + 0.56 = 1

P(X = 0) + P(X = 1) = 0.44.

Hence one possible example is:

  • P(X = 0) = 0.40.
  • P(X = 1) = 0.04.

More can be learned about probability distributions at brainly.com/question/24802582

#SPJ1

6 0
1 year ago
For the following right triangle, find the side length x
Aleks [24]

Answer:

x = 25

Step-by-step explanation:

b² + h² = x²

24² + 7² = x²

576 + 49 = x²

625 = x²

√625 = √x²

25 = x

7 0
3 years ago
Read 2 more answers
PLZ HELP ME Solve -2z – 5 &gt; 3 for z.
Evgen [1.6K]

Answer:

z<-4

Step-by-step explanation:

-2z-5>3

Add 5 to both sides.

-2z>8

Divide both sides by -2.

Z<-4

The sign must change because you are dividing by a negative.

7 0
3 years ago
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