Jaya forgets how to write numbers in expanded form. Explain the steps to her using the number 13.652 as an example, and then wri
2 answers:
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Answer:
13.187 meters
Step-by-step explanation:
Basically, there are 24 meters for every 91 steps:
There are x meters for every 50 steps:
Cross multiply
91x = 1200
Divide both sides by 91 to isolate the variable, x
91x/91 = 1200/91
x = 13.186813
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.
<h3>What is the hypergeometric distribution formula?</h3>The formula is:
The parameters are:
- 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.
The values of the parameters for this problem are:
N = 25, k = 6, n = 8.
The probability that exactly 6 patients will die is P(X = 6), hence:
0.0002 = 0.02% probability that exactly 6 patients will die.
More can be learned about the hypergeometric distribution at brainly.com/question/24826394
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Answer:
A. 1.8 × Kg
B i. 3.0 × seconds
ii. 9.6 × years
C. After 9.2 × (9.2 billion) years
Step-by-step explanation:
Given that the mass of the Sun = 2× Kg.
Mass of hydrogen when Sun was formed = 76% of 2× Kg
= ×2×
Kg
= 1.52 × Kg
Mass of hydrogen available for fusion = 12% of 1.52 × Kg
= × 1.52 ×
Kg
= 1.824 × Kg
A. Total mass of hydrogen available for fusion over the lifetime of the sun is 1.8 × Kg.
B. Given that the Sun fuses 6 × Kg of hydrogen each second.
i. The Sun's initial hydrogen would last;
= 3.04 × seconds
The Sun's hydrogen would last 3.0 × seconds
ii. Since there are 31536000 seconds in a year, then;
The Sun's initial hydrogen would last;
= 9.640 × years
The Sun's hydrogen would last 9.6 × years.
C. Given that our solar system is now about 4.6 × years, then;
= 2.09
So that; 2 × 4.6 × = 9.2 ×
years
Therefore, we need to worry about the Sun running out of hydrogen for fusion after 9.2 × years.