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Zielflug [23.3K]
3 years ago
8

A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right angle with

the ground. The other rope forms an angle of 60º with the ground. Which statements are correct?
A) d ≈ 60 ft.
B) d ≈ 66 ft.
C) h ≈ 104 ft.
D) h ≈ 108 ft.
E) angle of depression = 30°

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

Answer:

d ≈ 60 ft., h ≈ 104 ft.

Step-by-step explanation:

Additionally: angle of depression = 60°

The angle of elevation and the angle of depression are congruent.

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10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi
vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
  • There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0
2 years ago
What is my weighted grade please explain how it's done.
salantis [7]

That's not enough information to calculate your grade from.

-- You've told us the scores you have in things that go together
to make up (35 + 5 + 25) = 65%  of your grade.

-- We don't know your scores in the things that make up the other
35% of your grade.

4 0
3 years ago
PLEASE HELP HURRY WITH THE QUESTIONS BELOW!!!!!
AnnZ [28]

From left to right, the answers are:  152, D(line e), C(obtuse), 44 degrees.

Now I feel guilty and sleezy.  Giving answers alone without explanations
is something I almost never do, because it doesn't help anybody do
anything but cheat.  But it's all I have time for right now.  If a mod comes
along and decides to delete this because of no explanations, then let him
delete it.  It'll serve us right, you and me both.


8 0
3 years ago
The value of <br> 37<br> −<br> −<br> √<br> −<br> 24<br> −<br> −<br> √<br> 37−24<br> is between:
Effectus [21]

Answer:23 And 24

Step-by-step explanation:

((37 - (−√(−24))) - (−√(37))) - 24 =

19.0827625 + 4.89897949 i

19.0827625

+ 4.89897949

23.98174199

23.98174199 is between 23 and 24

3 0
3 years ago
Explanation would be appreciated. i don’t understand
katen-ka-za [31]

Answer:

28\sqrt{3}

Step-by-step explanation:

The area of the big triangle is 1/2 b h =  1/2*6*(12^2 = 6^2 + x^2)

that ends up being \sqrt{108}  = 36\sqrt{3}

the small triangle are needs to be subtracted....

\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)} that is the length of the unknown side...

1/2 B * h of that triangle get you to 8\sqrt{3}

just subtract the two areas

5 0
3 years ago
Read 2 more answers
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