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2 years ago

What is probability scale to the sea will disapper

Mathematics

2 answers:

Rudik [331]2 years ago

8 0

Answer:

The answer is below!!

Step-by-step explanation:

The probability scale

Maths uses numbers to describe probabilities. Probabilities can be written as fractions, decimals or percentages. You can also use a probability scale, starting at (impossible) and ending at (certain).

Probabilities can be described in words. For example, the chance of an event happening could be 'certain', 'impossible' or 'likely'. In maths, probabilities are usually written as fractions or decimals between 0 and 1, or percentages between 0% and 100%.

Hope I helped!!

Alenkasestr [34]2 years ago

4 0

It’s basically a 100% chance that the oceans will disappear in a few billion years, but according to some sources, most sealife (95%+) may be wiped out by the year 2100.

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Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or

Aleks04 [339]

Answer:

a) $\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

b) Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) $P(\bar X \leq 77)=P(Z$

d) See figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

$E(X) = 75$

$sd(X) = 7$

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is also normal and is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

$z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}$

And we want to find this probability:

$P(\bar X \leq 77)=P(Z$

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0

3 years ago

Which are true or false

Savatey [412]

we are given

$y=19.75x$

Here,

y is the number of gallons of water in the pool

x is the number of minutes the truck has been filing the pool

now, we will verify each options

option-A:

When x=1

then y=19.75

so, for 1 minute , number gallons =19.75

so, this is FALSE

option-B:

Since, we have

$y=19.75x$

It is similar to equation of line

y=mx+b

But b=0

It means that it passes through origin

so, this is TRUE

option-C:

$y=19.75x$

we can compare it with

y=mx

where m is the rate

so, we get

$m=19.75$

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

$m=\frac{100}{5} =20$ gallons per minute

this is close to 19.75

so, they are approximately equal

so, this is TRUE

option-d:

x-value and y-value will show relationship

and ratio will always be constant or equivalent

because it has linear relationship

so, this is TRUE

option-e:

We need to check

(8,150) ..so, x=8 and y=150

we can plug this in our equation

and we get

$150=19.75\times 8$

$150=158$

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE

5 0

3 years ago

Sarah rolls a die twice. What is the probability that she rolls a 3 and then an even number?

egoroff_w [7]

1/12

This is because she has a 1/6 chance of getting a 3 on the first try and then a 1/2 chance of getting an even on the second. Multiply these two together to get your answer.

7 0

3 years ago

How long does it take annabelle to read 45 pages

earnstyle [38]

Answer:

??? I don't quite understand pls explain better

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which digit has the greatest value in the number 1,567

Nookie1986 [14]

Seven has the greatest value as a digit, but 1, 000 has the greatest standard form value.

7 0

3 years ago

What is probability scale to the sea will disapper​

What is probability scale to the sea will disapper