Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the Sun. How many kilometers away is it from the Sun?
2 answers:
Answer:
Ceres is km away from sun.
Step-by-step explanation:
We know that,
1 AU = Km
So, 2.767 AU in kilometers will be :
Applying the conversion of units:
= 415050000 km.
In exponential form we can re write this as :
kilometer.
Thus, Ceres is kilometers away from the sun.
In this problem the mass of the asteroid is completely irrelevant. To solve this we are going to take advantage of the fact the 1AU=<span>149,598,000 kilometers, so we can establish a conversion factor as follows:
</span>
<span>
We can conclude that the asteroid is 413,937,666 kilometers away from the sun, or in scientific notation </span>4.139376660<span>·</span>
kilometers away form the sun.
</span>
<span>
We can conclude that the asteroid is 413,937,666 kilometers away from the sun, or in scientific notation </span>4.139376660<span>·</span>
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b. percent of pig pregnancies that are shorter than 111 days
To get the percentage, we will have to convert x = 111 days into a z-score first. The formula is:
where x = raw data, μ = population mean, and σ = population SD.
Since these 3 pieces of information are already given in the question, let's plug them into the equation above.
Therefore, 111 days is located 1 standard deviation to the right of the mean.
To find the percentage of pig pregnancies shorter than 111 days, we need to find the area covered to the left of 1 SD.
To find the area covered to the left of 1SD, we need to use the standard normal distribution table.
Based on the table, the area covered to the left of 1SD is 0.8413. Multiplying the area by 100, we get 84.13. Therefore, 84.13% of the pig pregnancies are shorter than 111 days.
