Answer:1-5
Step-by-step explanation:Assuming the spinner is numbered 1–5 and has an equal chance of landing on any number, you have two independent probabilities, each 1 in 5.
Just multiply those: 1/5 * 1/5 = 1/25. You have a 4% chance of getting 2 twice.
Of course, if there’s anything special about spinning “2”, you’ll be keyed to watch for it after getting 2 the first time. Now there’s a 20% chance (1 in 5) you’ll spin it again, and you’ll be very excited that you got 2 twice in a row. Another way of saying that is that the probability of something that has already happened is 100%.
From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / <span>0.1142
= </span><span><span><span>6.0695884413
</span>
days
The value of "k" should be negative and should have units associated with it.
</span>
</span>
Answer: 0.96875
Step-by-step explanation:
Probability of obtaining at least one tail on a toss of coin 5 times ;
P(success) in a coin toss = 1/2 = 0.5
Using the binomial distribution formula :
P(x) = nCx * p^x * (1 - p)^(n-x)
P(at least one tail) = 1 - p(0 tails)
P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)
= 1 * 1 * 0.03125
= 0.03125
P(at leat 1 tail) = 1 - 0.03125
P(atleast 1 tail) = 0.96875
Answer:
![f(t)=80*2^{t-1}](https://tex.z-dn.net/?f=f%28t%29%3D80%2A2%5E%7Bt-1%7D%20)
f(10)=40960 people
Step-by-step explanation:
The number of people who have heard the rumour doubles every day.
If on the first day, 80 people have heard,
On the Second day, 160 persons would have heard.
This is an example of an exponential sequence whose growth ratio is 2.
The nth term of an exponential sequence is derived using the formula:
![U_n=ar^{n-1}](https://tex.z-dn.net/?f=U_n%3Dar%5E%7Bn-1%7D%20)
Where:
a=first term
r=growth ratio.
In this case, a=80, r=2
Therefore:
At any time t, the number who would have heard the rumor is:
![f(t)=80*2^{t-1}](https://tex.z-dn.net/?f=f%28t%29%3D80%2A2%5E%7Bt-1%7D%20)
(b)In 10 days,
![f(10)=80*2^{10-1}](https://tex.z-dn.net/?f=f%2810%29%3D80%2A2%5E%7B10-1%7D%20)
![=80*2^{9}](https://tex.z-dn.net/?f=%3D80%2A2%5E%7B9%7D%20)
=40960
In 20 days, 40960 persons would have heard the rumor.
Answer:
where is the rhombus
Step-by-step explanation: