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3 years ago

Which sequence is modeled by the graph below? coordinate plane showing the points 1, 1; 2, 2; 3, 4; and 4, 8

1 answer:

5 0

The points of the graph are> (1,1), (2,2), (3,4), (4,8).

Then the sequence is:

- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...

- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...

So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, 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 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

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

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

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

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

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

2 years ago

If the Zeros are 2 and 8 what's the axis of symmetry?

lions [1.4K]

Answer:

Step-by-step explanation:

x=2,x-2=0

x=8

x-8=0

y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16

=x²-10x+25-25+16

=x²-10x+25-9

y=(x-5)²+9

axis of symmetry is x-5=0 or x=5

8 0

3 years ago

ANSWER FOR BRAINILEST.

Lesechka [4]

Answer:

2713

Step-by-step explanation:

The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi

The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi

Cylinder - Sphere = Shaded Volume

1152pi - 288pi = 864pi

Substitute 3.14 for pi, and you get

864(3.14) = 2712.96, which rounds to 2713

6 0

3 years ago

Read 2 more answers

How many times greater is 46 than 0.46? Explain to a classmate

Monica [59]

$46:0.46=\dfrac{46}{0.46}=\dfrac{46\cdot100}{0.46\cdot100}=\dfrac{4,600}{46}=\boxed{100}\\\\Answer:\huge\boxed{100\ times}$

5 0

3 years ago

Read 2 more answers

Maria paid $48 for herself and two of her friends to go to a concert. The tickets are all the same price. What equation could be

dimaraw [331]

Answer:

The answer is D. $48 = 3p

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers