Evaluate [ sin? 8-( cos? o )( sin? e ) I' for = for 0 = 30°
The value of this expression is
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Value of the expression = 16

Step-by-step explanation:

Given expression is,

[Sin²θ - (Cosθ)(Sinθ)]⁻¹

By substituting θ = 30° in the expression,

[Sin²(30)° - (Cos²30°)(Sin²30°)]

= [(Sin30°)² - (Cos30)²(Sin²30)]

=

=

=

=

= 16

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560