Answer:
the probability is 0.28
Step-by-step explanation:
using Bayes's theorem
P(A|B)=P(A∩B)/P(B)
where
P(A∩B) = probability that events A and B happen
P(A|B) = probability that event A happen if B already happened
P(B)= probability of event B
therefore
P(A∩B)=P(A|B)*P(B)
if event A= selection of a student that lives in a dormitory and event B = selection of a freshmen student
P(A|B) = 0.8 (live in a dormitory knowing that is a freshmen student )
P(B) = 0.35 (freshmen student)
P(A∩B)=P(A|B)*P(B) = 0.8* 0.35 =0.28
Answer: x=-5
Step-by-step explanation: In order to get rid of the parentheses we must multiply or distribute the outside number times anything inside the parentheses.
–5(1 – 5x) + 5(–8x – 2) = –4x – 8x
-5-25x+-40x-10=-4x-8x
Next we combine like terms.
-5-25x+-40x-10=-4x-8x
-15-15x=-12x
Then we add 15x to both sides
-15-15x=-12x
-15=3x
Finally we divide both sides by 3 which will give us our answer.
-15=3x
-15/3=3x/3
x=-5
<u><em>x=-5 Hope this helps!</em></u>
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Answer:
14 sq units
Step-by-step explanation:
Split it up into a top triangle
middle trap e zoid and bottom triangle
Area = 1/2 * 4*2 + (2/2) * (4 + 2) + 1/2 * 4 * 2
= 4 + 6 + 4
= 14 sq units
Hence the fraction of a pie that each slice represent is: 1,8
Answer:
is the answer.
Step-by-step explanation:
Let the equation of the exponential function is,
Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)
For a point (0, 0.2),
0.2 =
a = 0.2
For another point (1, 0.1),
0.1 =
b = = 0.5
Therefore, exponential function defined by the given table is,