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Eduardwww [97]
3 years ago
14

6-4 Homework G

Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer: Distance of earth from star = 24.78\times10^{14}\text{ miles}

Step-by-step explanation:

Given: A certain star is 4.2 \times 10^2 light years from the Earth.

One light year is about 5.9 \times 10^{12} miles.

Distance of earth from star = 4.2\times10^2\times 5.9\times10^{12}

=4.2\times5.9\times10^2\times10^{12}\text{ miles}\\\\=24.78\times10^{2+12}\text{ miles}\\\\=24.78\times10^{14}\text{ miles}

Hence, Distance of earth from star = 24.78\times10^{14}\text{ miles}

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X+(6+2x)=90 that's as far as i got....​
Morgarella [4.7K]

Answer:

x=28

Step-by-step explanation:

7 0
2 years ago
Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T
anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample 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:

7 + 18 = 25 employees, which means that N = 25

7 over 50, which means that k = 7

10 dismissed, which means that n = 10

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

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

P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0
2 years ago
A line is represented by the equation ax+by=6<br><br> a.) when is the line parallel to the x-axis?
ohaa [14]
Hello :
the line parallel to the x-axis if : ( a = 0  and  b <span>≠ 0)
for exemple : a = 0 and b= 3   the line has the equation  ; y = 2</span>
3 0
3 years ago
a molecule is measured and the width is 3x10-6 cm. how long will a string of 225 similar molecule be? give your answer in scient
mixer [17]

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Data;

  • Width of molecule = 3*10^-6 cm
  • Number of molecules = 225

<h3>Length of the molecule</h3>

This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.

This becomes;

3*10^-^6*225 = 0.000675cm = 6.75*10^-^4cm

The length of the molecule is 6.75*10^-^4cm in scientific notation.

Learn more on scientific notation here;

brainly.com/question/5756316

brainly.com/question/1712028

7 0
2 years ago
Plz help quickly <br>plzzzz​
Dovator [93]

Answer:

D.)1.7

Step-by-step explanation:

it's positive and above the 1 point

7 0
3 years ago
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