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lord [1]
3 years ago
13

A number cube is rolled 24 times and lands on 2 four times and on 6 three times. a. Find the experimental probability of landing

on a 2.
1. Find the experimental probability of not landing on a 6.
2.Compare the experimental probability you found in part a to its theoretical probability.
3.Compare the experimental probability you found in part b to its theoretical probability.
Mathematics
1 answer:
matrenka [14]3 years ago
5 0
I believe the answer is A
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The area of trapezoid TRAP is 100 m squared
Anastasy [175]
Answer:  30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as:  A = ( b₁ + b₂) h  / 2 ;
___________________________________
in which:  A = area;
              b₁ = length of "base 1" (choose either one of the 2 (two bases);
              b₂ = length of "base 2" (use the base that is remaining);
              h = height of trapezoid;
____________________________________________
From the information given: 
___________________________
A = 100 m² ; 
h = 5 m
b₁ = 10 m
b₂ =  x 
___________________________
Find "x", which is:  "b₂" ;
__________________________
      A = ( b₁ + b₂) h  / 2  ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
  100 m² = [(10m + x) (5m)] / 2  ; Solve for "x" ;
_________________________________________________________
          (10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
             (5m) (10m + x) = 200 m² ;
___________________________________________
Note:  The distributive property of multiplication:
____________________________________________
    a(b+c) = ab + ac ;
 
    a(b−c) = ab <span>− ac ;
</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
____________________________________________
So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
                               =  50m² + (5m)x  ;
_______________________________________________
     →  50m² + (5m)x = 200m²  ; 
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
     → { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
     →  10m + x   = 40m ; 
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
___________________________________________________
Answer:  30 m ; (or, write as: "30 meters") .
_____________________________________________________
6 0
3 years ago
ILL GIVE BRAINELST
murzikaleks [220]

Answer:

A = 12 ft

Step-by-step explanation:

Perimeter ( of SQUARE) B = 64

  then each side = 64/4 = 16

AREA of SQUARE C = 400

    side X side = 400

        then side = sqrt 400

Now use Pyhtagorean Theorem to find leg of right triangle that is

   side A  Side B  hypotenuse Side C

A^2 + 16^2 = (sqrt 400)^2

A^2 = 400 - 256

A^2 = 144       then A = 12  Ft

6 0
2 years ago
Which of the following best describes the expression 7x + 2y?
stira [4]

Answer:6

Step-by-step explanation:2+4

6 0
3 years ago
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49v2 + 42v<br> 56v3<br> Simplify rational expression
Alchen [17]

Answer:

Simplify each term.

49 v ^2  +  2352 v ^4

Step-by-step explanation:

5 0
3 years ago
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
denis-greek [22]

Answer:

The answer is A. y = 2x + 20; x is any integer greater than or equal to, 0 and y is any integer greater than or equal to 20

Step-by-step explanation:

4 0
3 years ago
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