Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%
I think this is what you are looking for:
=−12
a
b
=
−
12
+=4
a
+
b
=
4
(+)2=42
(
a
+
b
)
2
=
4
2
2+2+2=16
a
2
+
b
2
+
2
a
b
=
16
∴2+2=16+2×12=40
∴
a
2
+
b
2
=
16
+
2
×
12
=
40
Now, (−)2=2+2−2=40+2×12=64
(
a
−
b
)
2
=
a
2
+
b
2
−
2
a
b
=
40
+
2
×
12
=
64
∴(−)=64‾‾‾√=±8
∴
(
a
−
b
)
=
64
=
±
8
So, 2−2=(+)(−)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
2−2=(4)(±8)=±32
a
2
−
b
2
=
(
4
)
(
±
8
)
=
±
32
Hope that helps and sorry if it is confusing!
Answer:
Step-by-step explanation:
Firat triangle has a=4cm and b=a and P1=a*b/2=4*4/2=8cm^2
First parallelogram has h=4cm (from first triangle) and a=5.7cm
P2=a*h=22.8cm^2
Big triangle has h=4 and a=5.7+4=9.7
P3=a*h/2=9.7*4/2=19.4
And 4th triangle has the same are lik the first one, P4=8.
P=8+22.8+19.4+8=58.2cm^2
<em>Answer</em><em>:</em>
<em>Range</em><em>=</em><em>{</em><em> </em><em>-</em><em>5</em><em>,</em><em>-</em><em>1</em><em>,</em><em>3</em><em>,</em><em>7</em><em>)</em><em>. </em><em> </em><em> </em><em> </em><em>[</em><em> </em><em>option</em><em> </em><em>C</em><em>]</em>
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Answer:
36
Step-by-step explanation:
Ejiro + her sister's age = 64
Ejiro is 8 years older so (64 - 8) ÷ 2 = 28 her sister is 28 years old and ejiro is 28 + 8 = 36 years old
