All categories

3 years ago

PLEASE HELP!!!

Mathematics

1 answer:

Nata [24]3 years ago

6 0

S(t) = -4 - 2t

s'(t) = -2

s'(6) = -2

You might be interested in

Is this a parallelogram and why?

oksano4ka [1.4K]

the rectangle is but the line is not because the line has to have another side !

3 0

3 years ago

Read 2 more answers

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

Write an explicit formula for the geometric sentence

Agata [3.3K]

Answer:

aⁿ=4(−1)ⁿ⁻¹/3ⁿ

Step-by-step explanation:

use the formula an=a1rⁿ⁻¹

aⁿ=4(−1)ⁿ⁻¹/3ⁿ

5 0

2 years ago

Which name correctly classifies this triangle?

katrin [286]

Isosceles triangle because it has two equal sides

4 0

4 years ago

What is the standard form of this polynomial: 7 - x³ + 2x - 4x²?

Nadya [2.5K]

Answer:

−x^3−4x^2+2x+7

Step-by-step explanation:

3 0

2 years ago