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3 years ago

2x - 8 = 6help please

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

8 0

Answer:

2x -8 =6

add 8 to -8 and 6.

the 8s cancel each other out and 6 +8 =14.

next you are going to divide 2x diveded by 2 and 14 by 2. the twos cancel out so its just x and then 14/2 is 7.

the answer is 7. hope this helps dude.

sineoko [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Move the -8 to the other side and use the rule change side change sign:

2x=6+8

2x=14

Move the 2 and convert the multiplication(as its 2×x ) into division:

x= 14÷2

x=7

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Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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 for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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2x - 8 = 6help please ​

2x - 8 = 6help please