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3 years ago

A helicopter hovers 500 feet above a small island. The figure shows that the angle of

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

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Which is not a statistical question?

spayn [35]

Answer:

'How many computers does my family own?'

Step-by-step explanation:

How many computers, because it only gives one answer. if it was something like 'how many computers do each of my classmates own' or something that gave multiple answers then that would be a statistical question.

Goodluck with your schoolwork/homework!

---------------------------------------------------------------

Appologies in advance for any errors or bad explanations.

4 0

3 years ago

Read 2 more answers

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

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

$P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003$

$P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039$

$P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219$

$P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724$

$P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552$

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0

3 years ago

Luis tenía un saco de patatas de 95 kg. Ha vendido 10bolsas de 2,5kg cada una. ¿Cuántos kilos de patatas le quedan?

stepan [7]

Answer:

A Luis le quedan 70 kg de patatas.

Step-by-step explanation:

Para encontrar la respuesta, primero tienes que determinar la cantidad total de patatas que Luis ha vendido multiplicando la cantidad de kilos en cada bolsa por el número de bolsas vendidas:

2,5kg*10=25 kg

Ahora que sabes que Luis ha vendido 25 kg de patatas puedes restar esto de la cantidad de kilos que tenía para saber cuánto le queda:

95-25=70

De acuerdo a esto, la respuesta es que a Luis le quedan 70 kg de patatas.

8 0

3 years ago

The triangle below is isosceles. Find the length of side x in simplest radical form with

drek231 [11]

Answer:

$\frac{ \sqrt{6} }{2}$

Step-by-step explanation:

By using trigonometric ratios
$\sqrt{3} \div \sqrt{2} = \frac{ \sqrt{6} }{2}$

7 0

2 years ago

Y= -3+ 2x 3x+2y=2 I need help ASAP What the solution for this someone pls

Delvig [45]

Substitute the 1st equation in the 2nd, we get:

3x + 2(-3 + 2x) = 2
3x -6 +4x = 2

7x = 8
x = 8/7

Replace x = 8/7 in equation 1,

y = -3 + 2(8/7) = -3 +16/7 = -5/7

5 0

3 years ago

Read 2 more answers