The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's s
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Using the difference formulae for sine and cosine
sin(x - y) = sinxcosy - cosxsiny
cos(x - y) = cosxcosy + sinxsiny
sin15° = sin(45 - 30)°
sin(45 - 30)°
= sin45°cos30° - cos45°sin30°
= ×
-
×
= -
=
----------------------------------------------------------------------------------
cos15° = cos(45 - 30)°
cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ×
+
×
= +
=
-------------------------------------------------------------------------------------
tan15° =
= ×
=
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator, that is ( -
)
=
=
=
= 2 -
Answer:
(E). 19
Step-by-step explanation:
Let original population of each colony be P.
We have been given that a certain bacteria colony doubles in size every day, so bacteria colony is growing exponentially. After x days, the population of bacteria would be:
The population after 19 days will be for each colony.
The total population of both the colonies at that point will be which is what the habitat's limit is.
Therefore, it will take 19 days for two bacteria colonies to reach the habitat's limit and option E is the correct choice.