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3 years ago

What is the answer to m-1/6-4m+5/6

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Hey there! :D

m-1/6-4m+5/6

m-4m=-3m

-1/6+5/6= 4/6

-3m+4/6 <== simplified expression

I hope this helps!
~kaikers

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American adults are watching significantly less television than they did in previous decades. In 2016, Nielson reported that Ame

goldenfox [79]

Answer:

1. 0.271 = 27.1% probability that an average American adult watches more than 309 minutes of television per day.

2. 0.417 = 41.7% probability that an average American adult watches more than 2,250 minutes of television per week.

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the normal distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\lambda$ is the mean in the given interval, which is the same as the variance.

Normal distribution:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The Poisson distribution can be approximated to the normal with $\mu = \lambda, \sigma = \sqrt{\lambda}$

In 2016, Nielson reported that American adults are watching an average of five hours and twenty minutes, or 320 minutes, of television per day.

This means that $\lambda = 320n$ , in which n is the number of days.

1. Find the probability that an average American adult watches more than 309 minutes of television per day.

One day, so $\mu = 320, \sigma = \sqrt{320} = 17.89$

This probability is 1 subtracted by the pvalue of Z when X = 309. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{309 - 320}{17.89}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of 0.729

1 - 0.729 = 0.271

0.271 = 27.1% probability that an average American adult watches more than 309 minutes of television per day.

2. Find the probability that an average American adult watches more than 2,250 minutes of television per week.

$\mu = 320*7 = 2240, \sigma = \sqrt{2240} = 47.33$

This is 1 subtracted by the pvalue of Z when X = 2250. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2250 - 2240}{47.33}$

$Z = 0.21$

$Z = 0.21$ has a pvalue of 0.583

1 - 0.583 = 0.417

0.417 = 41.7% probability that an average American adult watches more than 2,250 minutes of television per week.

6 0

4 years ago

Sara has 24 marbles, Mark has 36 marbles, Josh has 22 marbles and Sam has 42 marbles. Everyone packaged their marbles into as ma

Wittaler [7]

Josh will because 22 isn't a multiple of 6
6: 6, 12,18,24,30,36,42
You see 22 isn't here
So Josh will have left over.
~JZ
Hope it helps

5 0

3 years ago

A radio station wants to determine whether its audience would like to listen to more rap music. It asks its listeners to call in

Afina-wow [57]

A radio station made a survey of their listeners to determine whether the audience would like to listen to more rap music. They asked the question “Do you want us to play more rap music or less rap music?” The station recorded one hundred fifty listeners who call in.

<span>The focus of the study is about the playing of the rap music because it is what the question is about. Not the type of music listeners want to hear, nor the number of listeners who respond nor the response of listeners.

</span>

7 0

3 years ago

Read 2 more answers

An article in the local paper states that 30% of the students at Oak Grove Middle School earned a place on the silver honor roll

den301095 [7]

In order to figure out 30% of 920 you multiply 920 by 0.3

920 * 0.3 = 276

8 0

3 years ago

Solve 4/9 plus x =7/9 x =

Katarina [22]

Answer:

x = 1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x + 4/9 = 7/9

Step 2: Subtract 4/9 from both sides.

x + 4/9 - 4/9 = 7/9 - 4/9

x = 1/3

7 0

3 years ago