Answer:
The common ratio is 2.
Step-by-step explanation:
If a given set of elements represents a geometric, each pair of elements must the one and same ratio. That is:
,
Where:
- i-th element of the given set.
- Set of elements.
If we know that , and , then common ration is:
The common ratio is 2.
Answer:
3.25 kg
Step-by-step explanation:
Since there are five books in the box, and one book weighs 0.65 kg, you just have to multiply 0.65 by five.
0.65(5)=3.25. So the answer is 3.25kg
Answer:
x = 22°
w = 30°
y = 30°
z = 52°
Step-by-step explanation:
From ΔACD,
AD is the diameter and ∠ACD is the angle subtended by the diameter.
Therefore, m∠ACD = 90°
By triangle sum theorem,
m∠DAC + m∠ACD + m∠CDA = 180°
w° + 90° + 60° = 180°
w = 180 - 150
w = 30°
AB║ED and AD is a transversal line.
Therefore, m∠BAD = m∠ADE
(w + 22)° = z°
30 + 22 = z
z = 52°
Since, ∠CEB and ∠BAC are the inscribed angles subtended by the same arc BC,
Therefore, m∠CEB = m∠BAC
x = 22°
Similarly, ∠CED and ∠DAC are the inscribed angles subtended by the same arc CD,
m∠CED = m∠DAC = 30°
y = 30°
Answer:
(a) P (X ≥ 4) = 0.972
(b) E (X) = 20
Step-by-step explanation:
Let <em>X</em> = number of people tested to detect the presence of gene in 2.
Then the random variable <em>X</em> follows a Negative binomial distribution with parameters <em>r</em> (number of success) and <em>p</em> probability of success.
The probability distribution function of <em>X</em> is:
Given: <em>r</em> = 2 and <em>p</em> = 0.1
(a)
Compute the probability that four or more people will have to be tested before two with the gene are detected as follows:
P (<em>X</em> ≥ 4) = 1 - P (<em>X</em> = 3) - P (<em>X</em> = 2)
Thus, the probability that four or more people will have to be tested before two with the gene are detected is 0.972.
(b)
The expected value of a negative binomial random variable <em>X</em> is:
The expected number of people to be tested before two with gene are detected is:
Thus, the expected number of people to be tested before two with gene are detected is 20.
The answer is
f(n)=6(3^n-1)
Which is the third option
Explanation :
Plug in the n values in the equation
Example : 6(3^1-1)
3^0=1
6(1)=6
I hope I helped