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3 years ago

Consider the fibonacci sequence below, which is the first term in the sequence to exceed 120?

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

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Suppose that 45% of students in a college have a smart phone. If you select three students at random, what is the probability th

Sidana [21]

Answer:

$P(X=3)$

And we can use the probability mass function and we got:

$P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091$

Then the probability that all three have a smart phone is 0.091

Step-by-step explanation:

Let X the random variable of interest "number of students with smartphone", on this case we now that:

$X \sim Binom(n=3, p=0452)$

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 to find this probability:

$P(X=3)$

And we can use the probability mass function and we got:

$P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091$

Then the probability that all three have a smart phone is 0.091

8 0

3 years ago

Graph the system of equations on your graph paper to answer the question.

Semenov [28]

Answer:

(-1,4) This is the solution for the given system

Step-by-step explanation:

The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)

The other graph is attached as well

The solution for this system is the interception between the graph

6 0

4 years ago

What is the inverse of the function f(x) = x 2?

Shalnov [3]

Assuming the function is x^2

let y = x^2
interchange x and y
x = y^2
y = sqrt x

so,
sqrt x is the inverse of x^2.

8 0

4 years ago

Woodland Mountain Park sells annual visitor passes for 12:50 last year the Park Race 53 and 500 in an annual visiting sales how

Lorico [155]

Answer:

4,280 tickets were sold

Step-by-step explanation:

3 0

4 years ago

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22. 20 on it. Af

AleksandrR [38]

The equations could you use to find the price of one tire patch is 4x + 1.9 = 22.2.

The price of one patch is $5.075.

Given

To prepare for his mountain biking trip, Rhyan bought four tire patches.

Rhyan paid using a gift card that had $22. 20 on it.

After the sale, Rhyan’s gift card had $1. 90 remaining.

<h3>What is the equation?</h3>

An equation says that two things are equal.

Let, the price of one tire patch be x.

The equations could you use to find the price of one tire patch is;

$\rm = \text{Total number of patches} \times Price \ of \ one \ patch + Remaining \ gift card= Total \ paid \ amount\\\\4x + 1.9 = 22.2\\\\4x=22.2-1.9\\\\4x=20.3\\\\x=\dfrac{20.3}{4}\\\\x=5.075$

Hence, the price of one patch is $5.075.

To know more about the equation click the link given below.

brainly.com/question/12895249

3 0

3 years ago