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Brut [27]
3 years ago
6

Find two consecutive odd integers such that 32 more than the lesser is three times the greater​

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

First odd number  = 13

Second odd number  = 15

Step-by-step explanation:

Let

First odd number  = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33      (sign of transferred terms will be changed)

-4x = -24    

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number  = 2x + 1 =  2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p
drek231 [11]

Answer:

P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153

P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297

P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722

P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811

P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180

And adding the values we got:

P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164

Step-by-step explanation:

Assuming this question: P(X≥14), n=18, p=0.8

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=18, p=0.8)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X \geq 14) = P(X=14) +P(X=15) +P(X=16)+P(X=17)+P(X=18)

And we can find the individual proabilities using the probability mass function:

P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153

P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297

P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722

P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811

P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180

And adding the values we got:

P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164

5 0
3 years ago
What is 0.1 more than 9.167?
Kamila [148]

Answer:

9.267

Step-by-step explanation:

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Answer:

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3 years ago
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Write the slope intercept form of a line through (6, -7) and parallel to y= x - 9
AveGali [126]

Answer:

y = x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 9 ← is in slope- intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (6, - 7) into the partial equation

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = x - 13 ← equation of parallel line

7 0
3 years ago
3/12 1/6 and 1/3 same denominator
iogann1982 [59]
Yes because if you turn 6 and three to 12 then you have 2/12 and 4/12!
5 0
3 years ago
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