Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.
Answer:
-15
Step-by-step explanation:
From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:
Now, since interior angles of any triangle add up to 180 degrees, we have

By combining similar terms, we get

Then, x is given as

Therefore, the answer is x=90 degrees
Step 1: x/3-8=2
Step 2: x/-5=2
Step 3: -10/-5=2
Step 4: x=-10
Step 1: First, subtract 8 from 3. 3-8=-5.
Step 2: Replace 3-8 with -5.
Step 3: To find x, multiply -5 and 2. The answer is -10.
Step 4: Write out the final answer, which is x=-10
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p =
= 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X
1)
P(X
1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.