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3 years ago

What is half of infinity

2 answers:

5 0

As a word play, perhaps nity is half of infinity<span>. Claude. Hi Pamela. The number of positive whole numbers is infinite. The number of positive even numbers is </span>half<span> this.</span>

-Dominant- [34]3 years ago

4 0

Half of infinity is infinity.It is endless and has no end and no beginning.

You might be interested in

What is the area of the regular pentagon below? (PLZ HELP! CORRECT ANSWER FOR BRAINLIEST!)

nalin [4]

The answer is approximately A ~ 688.19

5 0

3 years ago

Read 2 more answers

Time spent using e-mail per session is normally distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that

liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central limit theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 11, \sigma = 3$

a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 25, s = \frac{3}{\sqrt{25}} = 0.6$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.6}$

$Z = 0.33$

$Z = 0.33$ has a pvalue of 0.6293.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.6}$

$Z = -0.33$

$Z = -0.33$ has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.5 and 11 minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

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

$Z = \frac{11 - 11}{0.6}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

X = 10.5

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

$Z = \frac{10.5 - 11}{0.6}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 100, s = \frac{3}{\sqrt{100}} = 0.3$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0

3 years ago

Plz help me I’m stuck on those too

weeeeeb [17]

i got problems with tht stuff too D: i wish i was smart :P

5 0

3 years ago

Read 2 more answers

SV−→bisects ∠RST. If m∠RSV = 64, what is m∠RST?

Kaylis [27]

Given:

$\overrightarrow{SV}$ bisects ∠RST.

$m\angle RSV=64^\circ$

To find:

The $m\angle RST$ .

Solution:

Since, $\overrightarrow{SV}$ bisects ∠RST, therefore

$m\angle RSV=m\angle VST$ ...(1)

Now,

$m\angle RST=m\angle RSV+m\angle VST$

$m\angle RST=m\angle RSV+m\angle RSV$ [Using (1)]

$m\angle RST=2\times m\angle RSV$

$m\angle RST=2\times 64^\circ$ $[\text{Given }m\angle RSV=64^\circ]$

$m\angle RST=128^\circ$

Therefore, the value of $m\angle RST$ is $128^\circ$ .

5 0

4 years ago

Hannah is mixing paints to create a green color. Her mixture for green requires 2 parts blue, 1 part purple, and 4 parts yellow.

alexdok [17]

Answer: A

Step-by-step explanation:

Divide each part in 2.

2/2 parts blue, 1/2 part purple, and 4/2 parts yellow

Which equals l:

1 part blue, 0.5 part purple, and 2 parts yellow

4 0

3 years ago