Step-by-step explanation:
P(heads) = ½, and P(tails) = ½
a) P(5 heads) = (½)⁵ = ¹/₃₂
b) P(5 tails) = (½)⁵ = ¹/₃₂
c) P(at least 1 head) = 1 − P(all tails) = ³¹/₃₂
Answer:
y=-4x-1
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
Answer:

Step-by-step explanation:
Given expression:

Rewrite 32 as 16 · 2:

Apply radical rule 

As
:

Multiply by the conjugate:



As
:




Answer:
4cm
Step-by-step explanation:
Given data
L=(2x+3)
W=(x-1)
P=28cm
A= L*W
A= (2x+3)*(x-1)
open bracket
A= 2x^2-2x+3x-3
collect like terms
A= 2x^2+x-3
P= 2L+2W
P= 2*(2x+3)+2(x-1)
P= 4x+6+2x-2
collect like terms
P= 6x-4
but p= 28
28= 6x-4
28-4= 6x
24= 6x
x= 24/6
x= 4cm
Hence x= 4cm
Step-by-step explanation:
No. of possible selections= 5+4+3= 12
Probability of selecting drama= 3÷12
= 1÷4
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