Answer: 0.6274
Step-by-step explanation:
Given: The proportion of patients experience injection-site reactions with the current needle : p=0.11
Sample size : n= 4
Let x be a binomial random variable that represents the people get an injection-site reaction.
Binomial probability formula: 
The required probability : P(x=0)
Hence, the probability that none of the 4 people get an injection-site reaction = 0.6274
1. Move 2/x to the left side of proportion by changing sign before it:
3/x - 1 - 2/x = 4
2. Move 1 to the right side of proportion and change it's sign as well:
3/x - 2/x = 4 + 1
3. Sum numerators in the left side of proportion since they have common denominator (x) abd also sum the numbers in the right side too:
(3-2)/x = 5
4. Calculate numerator in the left side of proportion:
1/x = 5
5. Move 1 to the right side of proportion by dividing that side by it:
x = 1/5
Answer:
bottom rung 24cm. wide and the top rung
18cm. wide. If the length of the rungs decreases uniformly from bottom to top, how long
should each of the seven intermediate rungs be?
3,Find the first term of the sequence 10, 5, 2.5, 1.25, . . . which is less than 0.0001.
3,In an arithmetic sequence, if the p
th term is q and the q
th term is p, find the (p + q)
th term.
The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.
<h3>How to find sum of terms in geometric series?</h3>
aₙ = arⁿ⁻¹
where
- a = first term
- r = common ratio
- n = number of terms
Therefore,
10 = ar³
80 = ar⁶
Hence,
a = 10 / r³
80 = (10 / r₃) r⁶
80 = 10r³
r³ = 80 / 10
r = ∛8
r = 2
a = 10 / 2³
a = 10 / 8 = 5 / 4
The sum of 10 terms can be calculated as follows:
Sₙ = a(rⁿ - 1) / r - 1
Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1
Sₙ = 5 / 4 (1024 - 1) / 1
Sₙ = 1.25(1023)
Sₙ = 1278.75
learn more on geometric series here: brainly.com/question/13592208
