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ValentinkaMS [17]

3 years ago

14

Captain Salamander has a lazy time on the trip and spends about 15 hours a day sleeping. What fraction of the day does he spend

awake?

1 answer:

padilas [110]3 years ago

7 0

Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.

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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

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

So

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

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

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

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

3 years ago

Find the degree of the term -5x to the power of 4

marysya [2.9K]

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

5 0

3 years ago

I will give Brainliest!!

sergey [27]

The value of y in the triangle is 6°.

<h3>How to calculate the value of y in the triangle?</h3>

Firstly, it's important to note that a triangle has the total angles of 180°.

Based on the information, the triangle has interior angle measures of 11y, 10y + 10°, and 10y - 16º.

The value of y in the triangle will be illustrated thus:

11y + 10y + 10 + 10y - 16 = 180

31y - 6 = 180

31y = 180 + 6.

31y = 186

Divide.

y = 186 / 31

y = 6

The value of y is 6.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

5 0

2 years ago

The first quartile of a data set is 23, the median is 30,the third quartile is 33, and an outlier is 50. Which of these data val

Len [333]

Answer:50

Step-by-step explanation:

6 0

3 years ago

Solve /x-5/=3<br> A. x=2, x=8<br> B. x=-8, x=8<br> C. x=-2, x=2<br> D. x=-8, x=-2

zhenek [66]

Answer:

A) x=2, 8

Step-by-step explanation:

abs(x-5)=3

x-5=3, x-5=-3

x=3+5=8,

x=-3+5=2

5 0

3 years ago