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4 years ago

Fraction from greatest to least 1/3, 1/6, 1/2

Mathematics

2 answers:

ch4aika [34]4 years ago

4 0

Biggest is 1/2,2nd biggest is 1/3,and the last is 1/6.

Vsevolod [243]4 years ago

3 0

1/2 then 1/3 then 1/6

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If y = x + 5 and y = 11, then x = what?

Anestetic [448]

Answer:

Step-by-step explanation:

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3 years ago

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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

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3 years ago

What does x equal ?

Karo-lina-s [1.5K]

X=40 because you set all the degrees equal to 360 degrees because its a circle :)

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4 years ago

A line that includes the points ( - 2, - 9) and ( - 6,n) has a slope of - 1. What is the value of n?

Genrish500 [490]

Write out the slope formula:

m = (change in y) / (change in x)

Here,

m = n-(-9) / (-6-(-2)) = (n+9 / (-4)

Now set this slope equal to -1 and solve the resulting equation for n:

(n+9) / (-4) = - 1, or (n+9) / 4 = 1, or n+9 = 4. Then n = -5.

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3 years ago

NC Check-Ins 2 Math Grade 7 - NC Check-In 2- 2020-21 - Form 5657

sveticcg [70]

Answer:

Step-by-step explanation:

Given that :

Card numbered from: 500 - 799

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500 - 599 = 100

700 - 799 = 100

(100 + 100) = 200 cards

Condition 2: three digits is divisible by 6

{500 - 599} and {700 - 799}

The numbers divisible by 6 are 33

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3 years ago