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GREYUIT [131]
3 years ago
9

Complete the recursive formula of the geometric sequence -0.6, 3, -15, 75, ...

Mathematics
2 answers:
lara [203]3 years ago
7 0

Answer:

\boxed{Un = 3(-5)^{n - 2}}

Step-by-step explanation:

We know that

a = -0,6 = -\frac{3}{5} and r = \frac{3}{-0,6} = -5

.

So

Un = ar^{n - 1}

Un = (-\frac{3}{5} )(-5)^{n - 1}

Un = (3)(-5)^{-1}(-5)^{n - 1}

Un = 3(-5)^{n - 2}

KatRina [158]3 years ago
6 0

Answer:

use this form 》Un = ar^(n - 1)

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What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil
pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = \frac{P( A and B)}{P(B)}

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = \frac{P( A and B)}{P(B)}

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

3 0
3 years ago
There were 442 students at Deerlake Middle School who voted on a theme for the spring carnival. Those who voted represent 76% of
never [62]

Answer:

Option C is correct.

Step-by-step explanation:

Number of students of Deerlake middle school that voted = 442

Percentage of student that voted = 76%

Let x be the total number of student.

According to the Question,

\frac{76}{100}\times x=442

x=442\times\frac{100}{76}

x=582

Therefore, Option C is correct.

7 0
3 years ago
Please find the least common denominator for4/5 2/3
Ghella [55]

Answer:

A denominator of 15

Step-by-step explanation:

3 and 5 both go into 15, 4/5 = 12/15 and 2/3=10/15

4 0
3 years ago
Read 2 more answers
What is the final cost of the less expensive option?
Debora [2.8K]
The answer is d I think but idk
7 0
3 years ago
F ( x ) = -x^3 + 3x^2 + 4x -5 x = -3<br> Answear ?
Ivan

Answer: u spelt answer wrong f ( x f ( x ) = -x^3 + 3x^2 + 4x -5 x = -3

Step-by-step explanation:

7 0
3 years ago
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