Answer:
The probability of rolling an even number would be 
or 50%.
Step-by-step explanation:
A standard number cube has 6 sides that features numbers 1 to 6 on each side. Since there are three even numbers (2, 4, 6) total on the sides of the number cube, that means the theoretical probability of rolling an even number would be 
, which simplifies to or 50%.
Each crayon weighs 9 grams. First, if the box is 15 grams, you need subtract 105 with 15, which is 90. Then, divide 90 by 10(the amount of crayons), and you get 9, so each crayon weighs 9 grams
The surface area of the composite figure is; SA = 224 in.²
<h3>How to find the area of a Composite Figure?</h3>
From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as;
SA= 2(10 * 2) + 2(4 * 7) + 2(4 * 4) + 2(4 * 2) + (4 * 7) + (10 * 4) + (3 * 4)
SA = 40 + 56 + 32 + 16 + 28 + 40 + 12
SA = 224 in.²
Thus, we can conclude that the surface area of the composite figure is;
SA = 224 in.²
Read more about Composite figure area at; brainly.com/question/21135654
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Answer:
We have
k^2 - 25f^2 + 5kf - 25f^2 =
k^2 - (5f)^2 + 5f( k - 5f) =
( k - 5f )( k + 5f ) + 5f( k - 5f ) =
( k - 5f )( k + 5f + 5f ) =
( k - 5f )( k + 10f );
Step-by-step explanation:
Answer:
Verify x+y+z)=(x+y)+z for the following values of x,y,z
(i)x=3/4,y=5/6,z=-7/8(
ii)x=2/; 3,y=-5/6,z=-7/9(
iii)x=3/5,y=-6/9,z=2/10(
iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24
RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24
LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18
= 12/18 - 29/18 = -17/18
RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =
-17/18
LHS = RHS....
Hence verified..
Step-by-step explanation:
hope it helps u no notebook
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