OK.
USUALLY when they give you this kind of graph (histogram),
each bar tells you the NUMBER of individuals that fall into
that particular range.
This graph is a little bit different ... it's easier.
On this graph, they're showing you the PROBABILITY that
an individual is in that particular range.
(The y-axis is labeled 'P', and they told us it's a "probability distribution".)
The graph is telling us that if you close your eyes and pick one giraffe,
he has a 25% chance of being 4 years old or younger, a 10% chance of
being between 4 and 8, a 35% chance of being between 8 and 12, and
a 5% chance of being between 16 and 20.
This is just a fancy, slightly confusing way of saying that 25% of the
giraffes in that zoo are 4 or younger, 10% of them are between 4 and
8, 35% of them are between 8 and 12, and 5% of them are between
16 and 20.
Before we worry about answering the question, we can spot a few
interesting things about the giraffe population at that zoo:
-- There are NONE that are between 12 and 16 years old. Weird.
-- The percentages only add up to 75%. So 25% of the giraffes
must be older than 20 ! They're just not included on the graph.
OK. So the question asks: What's the probability that a giraffe
you pick is between 8 and 20 ?
-- He's got a 35% chance of being between 8 and 12, no chance
at all of being between 12 and 16, and a 5% chance of being
between 16 and 20.
Can you see that his chance of being between 8 and 20 is
(35% + 0% + 5%) = 40% ?
Answer:
For the given expression 
, x = -10
Step-by-step explanation:
Here, the given expression is :
Now, solving for x:
Separate the terms with x on one side, we get
or, 
or, 
or, x = -10
Hence, for the given expression , x = -10
Answer:
4
Step-by-step explanation:
(32 + x)/6=6
Answer:
Step-by-step explanation:
The line can be represented as y=5x-8, so the slope of the line is 5.
The derivative of the curve is:
![\frac{d}{dx} [9+2e^x-5x]\\=\frac{d}{dx} [9]+\frac{d}{dx} [2e^x]-\frac{d}{dx} [5x]\\=2e^x-5\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5B9%2B2e%5Ex-5x%5D%5C%5C%3D%5Cfrac%7Bd%7D%7Bdx%7D%20%5B9%5D%2B%5Cfrac%7Bd%7D%7Bdx%7D%20%5B2e%5Ex%5D-%5Cfrac%7Bd%7D%7Bdx%7D%20%5B5x%5D%5C%5C%3D2e%5Ex-5%5C%5C)
We need to set that equal to 5 to find the x coordinate of our desired point
Now, just plug in x in the curve to solve for y:
