All categories

3 years ago

Find the distance between (3,4) and (-5,7)

Mathematics

1 answer:

bekas [8.4K]3 years ago

7 0

Answer:

(x+7, y-3)

Step-by-step explanation:

7 units to the right and 3 units down

You might be interested in

Find the value of the rectangular prism

Ainat [17]

27.

Volume = length*width*height
So 3*3*3=27

6 0

3 years ago

Without evaluating each expression, determine which value is the greatest.

alina1380 [7]

Answer:

756−934 is the greatest because the others are more in the negatives

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Simplify the following

Bond [772]

Answer:

Step-by-step explanation:

1) 5xy - xy + 2x - 13x + 10xy - 8x =<u> 5xy - xy + 10xy</u> +<u>2x - 13x - 8x</u>

Combine like terms

= (5 -1 +10)xy + (2-13-8)x

= 14xy + (-19x)

= 14xy - 19x

2) -6c - (-6c) - (+6c) = -6c + 6c - 6c

= (- 6 + 6 - 6)c

= -6c

3) 0x - 22x - 4(2x) = 0x - 22x - 8x = -30x

6 0

3 years ago

Can anybody help me?

Ipatiy [6.2K]

As the number of computers that go up, the cost goes up by $500. So when 5 computers are bought it will be $2,500

6 0

4 years ago

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