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3 years ago

7

Simplify to a single power of 5

2 answers:

LenKa [72]3 years ago

8 0

Answer:

7

Step-by-step explanation:

multiplying exponents adds them together... 5+2=7

Lisa [10]3 years ago

8 0

The answer is simply seven

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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

Find the area of a rectangle with a length of x + 2 and a width of 3x.

statuscvo [17]

A = l x w
A = (x+2) ( 3x)
A = 3x^2 + 6x

answer
Area of a rectangle = 3x^2 + 6x

3 0

3 years ago

Read 2 more answers

Solve x2 + 8x – 3 = 0 using the completing-the-square method.

Inessa [10]

The answer is the last one !

8 0

3 years ago

Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of

Tanzania [10]

Answer:

17.11%

Step-by-step explanation:

since 43.2 months is the mean, and the standard deviation is 7.7 months

that means if we take the z score:

z=(36-43.2)/7.7

now that we know how many standard deviations you are away from the mean: -0.9351

using the zscore table you can find the proportion, or you can use the calculator if you have one that can do that.

you get 0.1711 which in percentages is 17.11%

7 0

3 years ago

the 7th grade teachers want to buy the principal a giant stuffed tiger for his office costing 50.00. however, the store is havei

Mumz [18]

Answer:

total is 47.70

Step-by-step explanation:

change is $12.30

8 0

3 years ago

Read 2 more answers