Answer:
getting the queen is smaller
5/8
Step-by-step explanation:
There are 4 queens in a 52 card deck
P(queen) = 4/52 = 1/13
There are 12 pairs socks, 3 of which are grey
P(grey socks) = 3/12 = 1/4
1/13 <1/4
So getting a queen is smaller
The possible outcomes
8 +0 9+0 10+0 <em> 11+0</em>
8+1 9+1 <em> 10+1 11+1</em>
8+2<em> 9+2 10+2 11+2</em>
<em>8+3 9+3 10+3 11+3</em>
There are 16 outcomes and 10 of them are after 11, (assuming we add the time to the bedtime)
P (bedtime later than 10) = 10/16 = 5/8
Answer:
30.53
Step-by-step explanation:
First you must find what 29% of 43 is, in order to do this we must multiply 43 by 29%
43*29% or 43*.29 is 12.47
This means that 29% of 43 is equal to 12.47
So decreasing 43 by 29% would be the same as decreasing 43 by 12.47
43-12.47=30.53
Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4
first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x=

so
1x^2-2x+4=0
a=1
b=-2
c=4
x=

x=

x=

we have

and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x=

i=

x=

x=

x=

or x=

(those are the 2 numbers)
Well all u have to do is 156%*70= 109.2 so N= 109.2
Answer:
The Proof for
△ABD ≅ △CBD is below
Step-by-step explanation:
Given:


AD = CD .........BD bisect AC
To Prove:
△ABD ≅ △CBD
Proof:
In ΔABD and ΔCBD
BD ≅ BD ....……….{Reflexive Property}
∠ADB ≅ ∠CDB …………..{Measure of each angle is 90°(
)}
AD ≅ CD ....……….{
}
ΔABD ≅ ΔCBD .......….{By Side-Angle-Side Congruence test} ...Proved