Answer:
1/8 has 1, 1/4 has 2, 3/8 has 3, 1/2 has 4, 5/8 has 2, and 3/4 has 3. Step-by-step explanation:
The probability of getting heads is 3/8.
<u>Probability:</u>
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
Since 3 is a small number, let's list out all possible combinations.
H represents a head while T represents a tail.
3 Heads
HHH
2 Heads
HHT
HTH
THH
1 Head
HTT
THT
TTH
0 Head
TTT
The answer is
3/1+3+3+1=3/8
OR
In general, we will find that the list resembles a particular row of the pascal's triangle.
If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth elements in the n + 1 line. All elements of the series n+1.
/ 2ⁿ = 
n this case,
N =3andR= 2
3!/ 2!×1! × 2³
= 6/ 2× 1 × 8
= 3/8
Learn more about Probability:
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Answer:

Step-by-step explanation:
We are given the following in the question:
Sample size, n = 67
Variance = 3.85
We have to find 80% confidence interval for the population variance of the weights.
Degree of freedom = 67 - 1 = 66
Level of significance = 0.2
Chi square critical value for lower tail =

Chi square critical value for upper tail =

80% confidence interval:

Putting values, we get,

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.
Answer:
9.3%
Step-by-step explanation:
Given data
Principal=$11200
Futute value= $14345
Time= 3years
The simple interest expression is given as
A=P(1+rt)
substitute
14345=11200 (1+r*3)
14345=11200+r33600
14345-11200=r33600
3145=r33600
r= 3145/33600
r=0.093
Hence the rate is 9.3%
Solve it like an equation
4x-7>1
+7 +7
(-7+7)= 0 They cancel each other.
(1+7)=8
4x>8
/4 /4
(4/4) Cross it out, since they are both the same number. So, you stay with x.
(8÷4)= 2
You get x>2