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3 years ago

Solve and check the equation 2(4-5x) = 2(3x+2)

2 answers:

5 0

2(4-5x)=2(3x+2)
8-10x=6x+4
Subtract 4 on both sides
4-10x=6x
Add 10x to both sides
4=16x
Divide both sides by 16
0.25=X

Check

2(4-5x)=2(3x+2)
2(4-5(0.25))=2(3(0.25)+2)
2(4-1.25)=2(0.75+2)
2(2.75)=2(2.75)
5.50=5.50

Tasya [4]3 years ago

3 0

ANSWER: 0,25
Ok done. Thank to me :>

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Answer:

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And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

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".

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

$X \sim Binom(n=30, p=0.05)$

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:

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Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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Answer:

Step-by-step explanation:

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2 years ago

A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?

Sergeu [11.5K]

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

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2 years ago

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