Part a : Net A because when you fold it up it will look like the wanted prism
Part b : AB = 3 in
BC = 5 in
CD = 7.2 in
Part c : area of one triangle = 4*3 = 12 / 2 = 6
6 * 2 = 12 (because there are 2 triangles)
7.2 * 3 = 21.6
7.2 * 4 = 28.8
7.2 * 5 = 36
Add them all up : 12+21.6+28.8+36 = 98.4
So surface area is 98.4 in
When atleast one dice shows a 6 the possible outcomes will be:
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
(1,6), (2,6), (3,6), (4,6), (5,6)
Thus there are 11 total possible outcomes.
Among these outcomes, the sum of numbers greater than or equal to 9 can be obtained from:
(6,3), (6,4), (6,5), (6,6), (3,6), (4,6), (5,6)
This means there are 7 outcomes with sum greater than or equal to 9.
Thus, Probability of rolling a number greater than or equal to 9 with atleast one dice showing a 6 = 9/11
So, option A gives the correct answer
Answer:
P(0,0) = 2/12 times 1/11 = 1/66
Step-by-step explanation:
For probability questions, think of each event happening separately, it makes the maths easier to understand. For example, in this question, do not think of the two boys taking a fruit at the same time - that makes the maths complicated
.
Let Daniel take a fruit first, then Sean can take a fruit. There are two parts to consider.
P
r
o
b
a
b
i
l
i
t
y
=
number of desirable outcomes
total number of possible outcomes
For Daniel: there are 12 different pieces of fruit in the bowl, he just takes one without choosing a specific fruit. (random)
The chance that Daniel takes an orange is
2
12
Of the 12 pieces of fruit. 2 are oranges.
Now Sean: the numbers of fruit in the bowl have changed. There are now only 11 pieces of fruit in the bowl, and only 1 is an orange.
The chance that Sean takes an orange is
1
11
According to all known laws
of aviation,
there is no way a bee
should be able to fly.
Its wings are too small to get
its fat little body off the ground.
The bee, of course, flies anyway
because bees don't care
what humans think is impossible.
Yellow, black. Yellow, black.
Yellow, black. Yellow, black.
Ooh, black and yellow!
Let's shake it up a little.
Barry! Breakfast is ready!
Ooming!
Hang on a second.
Hello?
- Barry?
- Adam?
- Oan you believe this is happening?
- I can't. I'll pick you up.
Looking sharp.
Use the stairs. Your father
paid good money for those.
Sorry. I'm excited.
Here's the graduate.
We're very proud of you, son.
A perfect report card, all B's.
Very proud.
Ma! I got a thing going here.
- You got lint on your fuzz.
- Ow! That's me!
- Wave to us! We'll be in row 118,000.
- Bye!
Barry, I told you,
stop flying in the house!
- Hey, Adam.
- Hey, Barry.
- Is that fuzz gel?
- A little. Special day, graduation.
Never thought I'd make it.
Three days grade school,
three days high school.
Those were awkward.
Three days college. I'm glad I took
a day and hitchhiked around the hive.
You did come back different.
- Hi, Barry.
- Artie, growing a mustache? Looks good.
- Hear about Frankie?
- Yeah.
- You going to the funeral?
- No, I'm not going.
Everybody knows,
sting someone, you die.
Don't waste it on a squirrel.
Such a hothead.
I guess he could have
just gotten out of the way.
I love this incorporating
an amusement park into our day.
That's why we don't need vacations.
Boy, quite a bit of pomp...
under the circumstances.
- Well, Adam, today we are men.
- We are!
- Bee-men.
- Amen!
Hallelujah!
Students, faculty, distinguished bees,
please welcome Dean Buzzwell.
Welcome, New Hive Oity
graduating class of...
...9:15.
That concludes our ceremonies.
And begins your career
at Honex Industries!
Will we pick ourjob today?
I heard it's just orientation.
Heads up! Here we go.
Keep your hands and antennas
inside the tram at all times.
- Wonder what it'll be like?
- A little scary.
Welcome to Honex,
a division of Honesco
and a part of the Hexagon Group.
This is it!
Wow.
Wow.
We know that you, as a bee,
have worked your whole life
to get to the point where you
can work for your whole life.
Honey begins when our valiant Pollen
Jocks bring the nectar to the hive.
Our top-secret formula
is automatically color-corrected,
scent-adjusted and bubble-contoured
into this soothing sweet syrup
with its distinctive
golden glow you know as...
Honey!
- That girl was hot.
- She's my cousin!
- She is?
- Yes, we're all cousins.
- Right. You're right.
- At Honex, we constantly strive
to improve every aspect
of bee existence.
These bees are stress-testing
a new helmet technology.
- What do you think he makes?
- Not enough.
Here we have our latest advancement,
the Krelman.
- What does that do?
- Oatches that little strand of honey
that hangs after you pour it.
Saves us millions.
Oan anyone work on the Krelman?
Of course. Most bee jobs are
small ones. But bees know
that every small job,
if it's done well, means a lot.
But choose carefully
because you'll stay in the job
you pick for the rest of your life.
The same job the rest of your life?
I didn't know that.
What's the difference?
You'll be happy to know that bees,
as a species, haven't had one day off
in 27 million years.
So you'll just work us to death?
We'll sure try.
Wow! That blew my mind!
"What's the difference?"
How can you say that?
One job forever?
That's an insane choice to have to make.
I'm relieved. Now we only have
to make one decision in life.
But, Adam, how could they
never have told us that?
Why would you question anything?
We're bees.
We're the most perfectly
functioning society on Earth.
You ever think maybe things
work a little too well here?
Like what? Give me one example.
I don't know. But you know
what I'm talking about.
Please clear the gate.
Royal Nectar Force on approach.
Wait a second. Oheck it out.
- Hey, those are Pollen Jocks!
- Wow.
I've never seen them this close.
They know what it's like
