In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it?
Answers
The probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it is approximately 0.15808.
To determine the probability of exactly 2 voters favoring the proposed regulation and 4 opposing it in a random sample of 6 respondents, we need to use the concept of combinations and probability.
In the given survey, out of 25 voters, 17 favor the regulation and 8 oppose it. We want to select exactly 2 from the 17 favorable voters and exactly 4 from the 8 opposing voters.
To denote the probability of a voter favoring the regulation as p (probability of success) and the probability of a voter opposing the regulation as q (probability of failure).
We can calculate these probabilities as:
p = (number of favorable voters) / (total number of voters)
p = 17 / 25
q = (number of opposing voters) / (total number of voters)
q = 8 / 25
Now, the probability of selecting exactly k successes in n trials, known as the binomial probability:
Substituting the values into the formula, we have:
Using the combination formula:
= 6! / (2! * (6-2)!)
= 6! / (2! * 4!)
= (6 * 5) / (2 * 1)
= 15
Substituting the values into the formula, we have:
P(X = 2) = 0.15808
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Pls answer this correct ;( don't answer it nonsenses. :) Thanks!A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won?
Answers
Answer: It is O 2.
Step-by-step explanation: 1. Start with the expression (7¹q5)-² (r-5s)².
2. According to the exponent rule, when we have an exponent raised to another exponent, we multiply the exponents. Therefore, we have (7¹q5)² and (r-5s)².
3. Simplifying (7¹q5)², we multiply the exponents: 7²q10.
4. Similarly, simplifying (r-5s)², we multiply the exponents: r²-10rs+25s².
5. Now, we multiply the two simplified expressions: (7²q10) * (r²-10rs+25s²).
6. Finally, we simplify the expression. The exponent of r when the expression is simplified is 2.
Therefore, the correct answer is O 2.
Pressure: 1.03
X = 1.18 kg/cm²
COMPLETE
Measure the volume of the gas in the syringe.
Estimate it to the nearest 0.5 mL. 43.5 mL
COMPLETE
Compute the product op.V.
Answers
Answer:
PRESSURE: 1.08 kg/cm
VOLUME OF THE GAS: 47.5ML
THE PRODUCT OF P x V: 51.3
Step-by-step explanation:
RATE AND THANK IF IT HAS HELPED YOU!
Answer: 47.5
Step-by-step explanation:
Answers
The other endpoint will be equal to (-7, -2).
What is coordinate geometry?
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the midpoint of cd is e ( -1,0 ) one endpoint is c( 5,2 ). The midpoint will be calculated as:-
Midpoint = (x₁+x₂ / 2 , y₁+y₂ / 2)
5 + x₂ / 2 = -1
5 + x₂ = -2
x2 = -7
2 + y₂ / 2 = 0
2 + y₂ = 0
y₂ = -2
Therefore, the other endpoint will be equal to (-7, -2).
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5 + x2 / 2 = -1
5 + x2 = -2
x2 = -7
2 + y2 / 2 = 0
2 + y2 = 0
y2 = -2
Other endpoint: (-7, -2)
Answers
Answer:
Step-by-step explanation:
From the question we are told that:
Dimension of ABC
A=9
B=11
C=110
Dimension of FED
D=231
Generally the equation for the similar triangles is mathematically given by
Therefore solving for F
Therefore solving for E
Measure of
Measure of
24a^4+18=6(4a^4+3)
12a^3+8a=4(3a^3+2a)
16a^5−20a^3=4a^3(4a^2−5)
30a^6−24a^2=3a^2(10a^4−8)
Answers
Answers
Answer:
The first one is B The second one is D and the last one is A