Answer:
4 possible outcomes
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
In this problem
<em>The probability of choose a blue card is
</em>
substitute
<em>The probability of choose a green card is
</em>
substitute
<em>The probability of choose a red card is
</em>
substitute
<em>The probability of choose a yellow card is
</em>
substitute
The sum of the probabilities of the 4 possible outcomes is equal to
----> represent the 100%
Ya, calculus and related rates, such fun!
everything is changing with respect to t
altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min
area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min
base=db/dt
alright
area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt
ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b
so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min
therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt
the base is decreasing at 1.6cm/min
Answer:
$72.5
Step-by-step explanation:
- Initial value = $200
- Depreciated value after 4 years = $115
<u>Since depreciation rate is linear, then:</u>
- 200 - 4x = 115
- 4x = 200 - 115
- 4x = 85
- x = 85/4
- x = 21.25
<u>Value after 6 years:</u>
- 200 - 6*21.25 = 200 - 127.5 = $72.5
Answer:
16ft
Step-by-step explanation:
The answer is 16ft because the area of a trapezoid is a + b/2 x h.
5 + 8/2 = 13/2 = 6.5
104/6.5 = 16
The height is 16ft.
The answer is both sets of statistics give the same information:
First, find the mean: 2 • 5 = 10, 3 • 4 = 12, and 10 • 1 = 10
10 + 12 + 10 = 32
Ten dots altogether : 32 ÷ 10 = 3.2
Mean = 3.2
Second, find the median: 2, 2, 2, 2, 2, 3, 3, 3, 3, 10
2, 2, 2, 2, <em>2, 3,</em> 3, 3, 3, 10
2 + 3 = 5
5 / 2 = 2.5
Median - 2.5
