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worty [1.4K]
3 years ago
8

Two twin sisters, Gwen and Jackie, are both 20 years old in the year 2050. Jackie takes off on a round-trip to Vega, 25 light-ye

ars away. She travels at an average speed close to the speed of light, say, 0.9999c. According to Gwen back on Earth, about how long does it take Jackie to reach Vega?A. about a month
B. about 10 years
C. about 25 years
D. about 100 years
Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:

C. about 25 years.

Step-by-step explanation:

We have been given that two Jackie takes off on a round-trip to Vega, 25 light-years away. She travels at an average speed close to the speed of light, say, 0.9999c.

To find time it will take Jakie to reach Vega, we will divide the distance of Vega by Gwen's speed.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time}=\frac{25}{0.9999}

\text{Time}=25.00250  

\text{Time}\approx 25  

Therefore, it will take approximately 25 years for Jakie to reach Vega and option C is the correct choice.

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A researcher wants to estimate the mean age of all Business Week readers at a 99% confidence level. The standard deviation of ag
Natasha2012 [34]

Answer:

A. 60

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

We have to find:

n when M = 3, \sigma = 9. So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 2.575*\frac{9}{\sqrt{n}}

3\sqrt{n} = 9*2.575

Dividing both sides by 3

\sqrt{n} = 3*2.575

(\sqrt{n})^{2} = (3*2.575)^{2}

n = 59.68

We round up, so the correct answer is:

A. 60

5 0
4 years ago
A town has a population of 16000 and grows at 4.5% every year. What will be the population after 8 years, to the nearest whole n
Monica [59]
<span>The population after 8 years is 22752.
P = 16,000 people 
R = 4.5% or .045 
t = 8 years</span>

By using the formula;

<span>16,000 x ( 1 + .045 )</span>⁸<span> = Y 
16,000 x (1.045)</span>⁸<span> = Y 
Y =  16,000 x 1.422 = 22752</span>
5 0
3 years ago
Read 2 more answers
What is the common ratio for this geometric sequence 3,12,48,192,... A 16 B. 3 C. 4 D. 9
hram777 [196]

Answer:

4

Step-by-step explanation:

The common ratio is  found by taking the second term and dividing by the first term

12/3 = 4

We can check by taking the third term and dividing by the second

48/12 = 4

The common ratio is 4

3 0
3 years ago
A rectangular board is 1300 millimeters long and 800 millimeters wide. What is the area of the board in square meters?
hichkok12 [17]

Multiply 1300 mm by 800 mm to get 1040000 mm. Then convert this to meters. 1 meter=1000 mm. Therefore, 1040000 mm is the same as 1040 meters.

3 0
4 years ago
the least common denominator for the sum 3/8 + 512 is 24 name another common denominator that you could use
bogdanovich [222]
You could also use 48 because 8 and 12 divide into it.
7 0
4 years ago
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