All categories

3 years ago

The average of any two consecutive even numbers in an even number. Find a counterexample.

Mathematics

1 answer:

pishuonlain [190]3 years ago

6 0

Answer:

2 and 4

Step-by-step explanation:

2+4 = 6

6/2 = 3

average is sum of number divided by how many numbers there are.

You might be interested in

A number f multiplied -12.3 is --73.8

grin007 [14]

Answer:

The answer is: 6

Step-by-step explanation:

Set up an equation and solve for f:

f x 12.3 = - 73.8

f = -73.8 / 12.3 = 6

Hope this Helps!! Have an Awesome Day!! (-:

6 0

3 years ago

Find the real zeros of the trigonometric function on the interval 0 ≤ x < 2π

Romashka-Z-Leto [24]

F(x) = 4 [cos (x)]^2 - 3 = 0

4[cos(x)]^2 = 3

cos(x) = √3 / 2

That happens in the first and fourth quadrants, for the angles 30 degrees and 330 degrees.

Answer: x = 30 degrees and x = 330 degrees

5 0

4 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

Jane's Ice Cream Shoppe has 33 ice cream flavors, 5 syrups, and 11 toppings. How many different ways can you construct a sundae

matrenka [14]

Answer:

18 combinations

Step-by-step explanation:

thank u

3 0

3 years ago

Fabian is purchasing a home for $89,500 and is financing 75% of it. The documentary stamp tax on the deed in his state is $0.70

ss7ja [257]

Answer: C) $462.96
Hope this will helpful.
Thank you.

6 0

3 years ago