Answer:

Step-by-step explanation:
We can write the following system of equations:

Multiply the second equation by
to isolate and solve for
:
,
Now plug in
into any equation to solve for
:
.
Using the Poisson distribution to determine the probability that a page contains exactly 2 errors is 0.0163
<h3><u>Solution:</u></h3>
Given that, a book contains 400 pages.
There are 80 typing errors randomly distributed throughout the book,
We have to use the Poisson distribution to determine the probability that a page contains exactly 2 errors.
<em><u>The Poisson distribution formula is given as:</u></em>

Where,
is event rate of distribution. For observing k events.

And, k = 2 errors.

![\begin{array}{l}{=\frac{1}{\sqrt[5]{2.7}} \times \frac{1}{25} \times \frac{1}{2}} \\\\ {=\frac{1}{50 \sqrt[5]{2.7}}} \\\\ {=0.0163}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B5%5D%7B2.7%7D%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B25%7D%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7B%3D%5Cfrac%7B1%7D%7B50%20%5Csqrt%5B5%5D%7B2.7%7D%7D%7D%20%5C%5C%5C%5C%20%7B%3D0.0163%7D%5Cend%7Barray%7D)
Hence, the probability is 0.0163
Answer: y=(1/5)m+3
Step-by-step explanation:
Start with the standard form of an equation of a straight line: y=mx+b, whre m is the slope and b the y-intercept (the value of y when x=0).
y=mx+b
We know b (3), so:
y=mx + 3
To find the slope, m, we can use the one given point, (5,4):
y=mx + 3 for (5,4) would be:
4 = m*5+3
1 = 5m
m = (1/5)
y=(1/5)m+3
Answer:
m∠FAD=48°
Step-by-step explanation:
we know that
The<u><em> Perpendicular Bisector Theorem</em></u> states that: A radius that bisect a chord is perpendicular to the chord
we have
FD=DE
The radius AC bisect the chord FE
so
AC is perpendicular to FE
The triangle FAD is a right triangle
m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle
we have
m∠AFD=42°
substitute
m∠FAD+42°=90°
m∠FAD=90°-42°
m∠FAD=48°