The probability tests to detect a liver disorder:
P (presence)= 0.98 (true) 0.02 (false)
P (absence)= 0.97 (true) 0.03 (false)
P(have disorder from the population)=0.035
P(do not have disorder from the population)= 0.965
To test positive:
P[have disorder and true from P(presence)] + P[do not have disorder and false from P(absence)]
=0.035*0.98+0.965*0.03= 0.06325
The answer is<span> 0.06325 </span>
The probability of randomly selecting a cream filled
Chocolate is 1/4
- Probability is the likelihood of an event will occur
- Probability of an event is find out by divide the number of favorable outcomes by the total number of possible outcomes.
- The simplest example is flipping of a coin.
- There are only two possible outcomes when you flip a coin. It wiil be either heads or tails.
- Total probability is always lie between 0 and 1
Let E be the event of selecting cream filled chocolate.
Number of favourable outcome = 6
Total number of possible outcome = 24
Probability if selecting a cream filled chocolate = 6/24
= 1 / 4
Hence, the probability of randomly selecting a cream filled chocolate is 1/4
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Here we go !!
Since it's a regular pentagon, all it's sides are equal so let's solve for x






now let's find the measure of each side, i.e





perimeter = 5 × side length ( for a regular pentagon )


<u>Answer:</u>
The basic identity used is
.
<u>Solution:
</u>
In this problem some of the basic trigonometric identities are used to prove the given expression.
Let’s first take the LHS:

Step one:
The sum of squares of Sine and Cosine is 1 which is:

On substituting the above identity in the given expression, we get,
Step two:
The reciprocal of cosine is secant which is:

On substituting the above identity in equation (1), we get,

Thus, RHS is obtained.
Using the identity
, the given expression is verified.
45 minutes because 1/4 of an hour is 15 min so 15+15+15=45