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3 years ago

11

-5(x-3+7x=35 what is x

1 answer:

Cloud [144]3 years ago

3 0

Answer:

x=-1/2

Step-by-step explanation:

-5(x-3+7x=35)=-5(x-3+7 <em>x </em>35=x)

(-5)x+(-5)(-3)+(-5) <em>x</em> 7x=35

-5x+5x<em>x </em>3-5 <em>x </em>7x=35

-40x+15=35

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Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are interested in selecting a group

Darina [25.2K]

Answer:

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=6, p=0.73)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

For what proportion of groups will at most two of the households have cable tv?

So we want to find this probability:

$P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)$

$P(X=0)=(6C0)(0.73)^0 (1-0.73)^{6-0}=0.000387$

$P(X=1)=(6C1)(0.73)^1 (1-0.73)^{6-1}=0.00628$

$P(X=2)=(6C2)(0.73)^2 (1-0.73)^{6-2}=0.0425$

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

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3 years ago

Write the equation of the line in slope-intercept form given the following information: through: (4, -4), parallel to y=-x-4

agasfer [191]

Answer:

y=-x

Step-by-step explanation:

The easiest one to use would be y=-x because it is parallel to the given line and goes through the stated point.

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3 years ago

Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.

kiruha [24]

For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.

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2 years ago

Vincent is watching a movie that lasts 1 hour 37 minutes he has watched 52 minutes so far how many minutes are left in the movie

Wittaler [7]

Answer:

45 minutes

Step-by-step explanation:

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4 years ago

Find the difference between the actual and the estimated values of 55 - 21

daser333 [38]

Answer:

Step-by-step explanation:

Actual value: 55 - 21 = 34; estimated value: 55 - 20 = 35.

The difference between the actual and the estimated values of 55 - 21 is 1:

35 - 34 = 1

3 0

3 years ago