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Ad libitum [116K]
3 years ago
15

PLEASE HELP ME!! I WILL GIVE YOU BRAINLIEST AND 50 POINTS!! AND DON'T JUST PUT YES, NO AND THEN NUMBERS, *USE COMPLETE SENTENCES

*!!
John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.


The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.


MOUNTAIN: LOCATION: HEIGHT (in meters):
Mount Whitney: California, United States: 4,418.38 meters
Mount Fuji: Fuji-Hakone-Izu National Park, Japan: 3,775.86 meters
Mount Everest: Great Himalayas of southern Asia: 8,849.87 meters
Mount Kilimanjaro: Tanzania, Africa: 5,894.83 meters
Mount Olympus: Mytikas, Greece: 2,919.07 meters

Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.

Part A:
Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:
Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:
Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.
Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

John Muir

John Muir was an American naturalist born in Scotland on April 21, 1838. Step-by-step explanation:

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barxatty [35]
If you solve for x by getting it on one side, it becomes 7/5.
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A right rectangular prism is 5 1/4 in. wide, 12 1/2 in. long, and 4 in. tall. What is the volume of the prism?
daser333 [38]
The last one is The answer. Mark as Brainlest.

3 0
3 years ago
Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co
Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0
3 years ago
Which vertex would form a right triangle on the coordinate plane, together with the endpoints of the segment shown? A) (6, 7) B)
Vlad [161]

Answer:

(7,7)

Step-by-step explanation:

The answer is B I took the test and got it right!!!

4 0
3 years ago
Read 2 more answers
You have a coin that is not weighted evenly and therefore is not a fair coin. Assume the true probability of getting heads when
Alexandra [31]

Answer:

X \sim Binom(n=157, p=0.52)

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!}

And we want this probability:

P(X

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

np=157*0.52=81.64  \geq 10

n(1-p)=157*(1-0.52)=75.36 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=157*0.52=81.64

\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26

We want this probability:

P(X

And using the continuity correction we have this:

P(X

We can use the z score given by this formula Z=\frac{x-\mu}{\sigma}.

P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206

Step-by-step explanation:

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".

Solution to the problem

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

X \sim Binom(n=157, p=0.52)

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!}

And we want this probability:

P(X

And we can use the following Excel code to find the exact answer:

"=BINOM.DIST(75,157,0.52,TRUE)"

And we got 0.1633

The other way to solve the problem is using the normal approximation

We need to check the conditions in order to use the normal approximation.

np=157*0.52=81.64  \geq 10

n(1-p)=157*(1-0.52)=75.36 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=157*0.52=81.64

\sigma=\sqrt{np(1-p)}=\sqrt{157*0.52(1-0.52)}=6.26

We want this probability:

P(X

And using the continuity correction we have this:

P(X

We can use the z score given by this formula Z=\frac{x-\mu}{\sigma}.

P(X< 76.5)=P(\frac{X-\mu}{\sigma}< \frac{76.5-81.64}{6.26})=P(Z < -0.821)=0.206

4 0
3 years ago
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