Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
Answer: 
Step-by-step explanation:
Let A be the event that the sum is 7 and and B be the event that the sum is 11 .
When two pair of dices rolled the total number of outcomes = 
The sample space of event A ={(1,6), (6,1), (5,2), (2,5), (4,3), (3,4)}
Thus n(A)= 6
The sample space of event B = {(5,6), (6,5)}
n(B)=2
Since , both the events are independent , then the required probability is given by :-
Hence, the required probability =
Answer:
14.14
Step-by-step explanation:
Recall :
The sides of a square are always equal ;
Since all sides are equal, the the diagonal of the square will be :
XZ² = XY² + WX²
XZ² = 20² + 20²
XZ² = 400 + 400
XZ² = 800
XZ = √800
XZ = 28.28
WY = XZ
WV = 1/2 WY
WV = 1/2 * 28.28
WV = 14.14
The answer is 56! How you do this, is you take 80, and you multiply it by 7. Then you divide that answer by 10. Then you have your answer! I’m really bad at math but I do know how to do that!
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
