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2 years ago

What does the discriminant determine?

2 answers:

6 0

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

zysi [14]2 years ago

4 0

It determines if the solution is equal, less than , or more than zero so if it’s equal you only have one solution but if it’s less than so it’s an imaginary graph that doesn’t have solution or more than means it has more than a solution

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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

D=rt for r solve for the specified variable

Harlamova29_29 [7]

Answer:

r=d/t

Step-by-step explanation:

d=rt

we are to make r the subject of the formula, so we remove t from the rhs.

we do this by dividing both sides by t

d divided by t= d/t and rt divided by t = r

therefore d/t =rt/t

= r=d/t

4 0

2 years ago

The product of any two numbers is composite ( true/false) and why?

Reptile [31]

FALSE.
A composite number is the opposite of a prime number. This is false because of the possibility of the following scenario:
The two numbers are 1 and a prime number.
This is because one multiplied by any number is that number. A prime number cannot become a composite number just because it is being multiplied by one. For example:
1 x 7 = 7 (prime)
Hope this helps!
~Archimedes El∈ven

7 0

3 years ago

Find the steady periodic solution to the differential equation x′′+2x′+64x=7sin(7t) in the form xsp(t)=ccos(ωt−α), with c > 0

Musya8 [376]

45265 I really hope thus helps a lot

7 0

2 years ago

Simone builds a simple spinning engine by inserting straws through holes in a plastic cup. She then suspends the cup from a meta

Zinaida [17]

D. It is smaller In magnitude

3 0

3 years ago