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Lelu [443]
3 years ago
11

An AP news service story, printed in the Gainesville Sun on May 20, 1979, states the following with regard to debris from Skylab

striking someone on the ground: "The odds are 1 in 150 that a piece of Skylab will hit someone. But 4 billion people ... live in the zone in which pieces could fall. So any one person’s chances of being struck are one in 150 times 4 billion—or one in 600 billion." Do you see any inaccuracies in this reasoning?
Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

  • The odds are one in approximately 27 million.
  • Not one in 600 billion

Step-by-step explanation:

From the news story, we are told that:

The odds are 1 in 150 that a piece of Skylab will hit someone.

However, 4 billion people live in the zone in which pieces could fall.

Therefore, any one person’s chances of being struck are:

=\dfrac{1}{150} \times 4$ billion\\=\dfrac{1}{37.5}$ billion\\\\=26,666,667 million

Therefore, the odds are one in approximately 27 million.

The inaccuracy presented in this reasoning was that the odds are one in 600 billion.

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Subtract 8 1/2 - 2 2/3 = ?
Andrews [41]

Answer: 2 2/3 or 2.6 repeating

Step-by-step explanation:

- Reduce the numbers With the greatest common divisor 2

- Calculate product

- Calculate the difference

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Hope I was able to satisfy your needs

8 0
3 years ago
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in circle O the radius is 4ft and the measure of minor arc ab is 120 degrees find the length of minor arc ab to the nearest inte
KIM [24]

Answer:

8\:\text{ft}

Step-by-step explanation:

The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be \frac{120}{360}=\frac{1}{3} of the circle's length (circumference).

The circumference of a circle is given by 2\pi r, where r is the radius of the circle. Therefore, the circumference of the circle is 2\pi(4)=8\pi. As we found earlier, the length of the arc is \frac{1}{3} of this circumference. Therefore, the arc's length is 8\pi\cdot \frac{1}{3}=\frac{8\pi}{3}.

To the nearest integer, this is \approx \boxed{8\:\text{ft}}.

4 0
3 years ago
Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

x=y+2

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

35x+10y=385

3. Solve the system of two equations:

\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.

Substitute the first equation into the second equation:

35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9

7 0
4 years ago
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What is the length of the hypotenuse? 55 ft and 48 ft
34kurt

Answer:

\sqrt{55^2+ 48^2} = 73

Step-by-step explanation:

c=\sqrt{a^2 + b^2}

6 0
2 years ago
The nth term of a sequence is 25-3n
Komok [63]

Answer:

22, 19, 16 and - 5

Step-by-step explanation:

To evaluate any term from the n th term formula substitute the terms position value for n

given a_{n} = 25 - 3n, then

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a_{1} = 25 - (3 × 1) = 25 - 3 = 22

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a_{3} = 25 - (3 × 3) = 25 - 9 = 16

(b)

a_{10} = 25 - (3 × 10) = 25 - 30 = - 5


5 0
3 years ago
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