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3 years ago

What is the range of y = sin θ ?

1 answer:

8 0

For the answer to the question above, For θ the range is between -infinity and infinity,
<span>While y falls in the range from -1 to 1.
because </span><span>y is an element of [-1, 1]</span>
I hope my answer helped you in your problem. Have a nice day!

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Relate the value of the numbers 1 in 115,093,628

MAXImum [283]

100,000,000 is 100 million

10,000,000 is 10 milllion

8 0

3 years ago

Naval intelligence reports that 99 enemy vessels in a fleet of 1818 are carrying nuclear weapons. If 99 vessels are randomly tar

oee [108]

Answer:

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

Step-by-step explanation:

The vessels are destroyed and then not replaced, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

Fleet of 18 means that $N = 18$

9 are carrying nuclear weapons, which means that $k = 9$

9 are destroyed, which means that $n = 9$

What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,18,9,9) = \frac{C_{9,0}*C_{9,9}}{C_{18,9}} = 0.000021$

$P(X = 1) = h(1,18,9,9) = \frac{C_{9,1}*C_{9,8}}{C_{18,9}} = 0.001666$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687$

0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.

4 0

3 years ago

The laptop was marked down from $895 to $720.

Vedmedyk [2.9K]

Answer:

Wdym?

Step-by-step explanation:

Im confused

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2 years ago

What is the rate in feet per second? 10 feet 16 seconds

Ierofanga [76]

Feet
_____
second

10 feet
________
16 second

equals

.625 feet per second

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3 years ago

if a triangle is an equilateral triangle then the triangle has exactly three 60 angles abc is an equilateral triangle

Artist 52 [7]

Answer:

The statement is always TRUE

Step-by-step explanation:

An equilateral triangle has all angles and all sides equal

The sum of angles in a triangle is 180 degrees.

Let each of the angles be x degrees.

Then we solve the following equation for x.

$x+x+x=180\degree$

$\implies 3x=180$

$\implies x=\frac{180}{3}=60\degree$

7 0

3 years ago