If the variable in the equation is * , then you add 13 to each side so that * would be by itself.
In any cyclic quadrilateral, angles opposite one another are supplementary, meaning
and given that 
, we have 
.
By the inscribed angle theorem,
and since
we have
and it follows that
Answer: 3/8
Step-by-step explanation:
Since it is a fair coin, then generally, P(Head) = P(Tail) = ½
And since we've been asked to find the probability that the number of heads in the first two tosses be equal to the number of heads in the second two tosses, tossing a fair coin four times, the possible outcomes of having equal number of heads in first two tosses and second two tosses becomes:
[HHHH] or [HTHT] or [THTH] or [TTTT] or [HTTH] or [THHT]
=[½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½] + [½*½×½*½]
=1/16 * 6
=6/16
=3/8.
Answer:
See below
Step-by-step explanation:
The function 
oscillates between -1 and 1, so the range is 
.
To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664
Answer: 0.8664
