Hunter surveyed 200 of the students in his school about their favorite color. 66 students said their favorite color was blue. Wh
1 answer:
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Answer:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
Answer:
of the lasagna is left
<u>Step-by-step explanation:</u>
Given:
Amount of lasagna Rico eats = 1/9
Amount of lasagna His friend eats = 1/18
To Find:
The amount lasagna is left =?
Solution:
Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats + Amount of lasagna His friend eats
Total lasagna ate by both Rico and his friend =
Total lasagna ate by both Rico and his friend =
Total lasagna ate by both Rico and his friend =
Total lasagna ate by both Rico and his friend =
The amount lasagna is left = 1 - Total lasagna ate by both Rico and his friend.
The amount lasagna is left =
The amount lasagna is left =
The amount lasagna is left =
The question is incomplete, here is the complete question:
The half-life of a certain radioactive substance is 46 days. There are 12.6 g present initially.
When will there be less than 1 g remaining?
<u>Answer:</u> The time required for a radioactive substance to remain less than 1 gram is 168.27 days.
<u>Step-by-step explanation:</u>
All radioactive decay processes follow first order reaction.
To calculate the rate constant by given half life of the reaction, we use the equation:
where,
= half life period of the reaction = 46 days
k = rate constant = ?
Putting values in above equation, we get:
The formula used to calculate the time period for a first order reaction follows:
where,
k = rate constant =
t = time period = ? days
a = initial concentration of the reactant = 12.6 g
a - x = concentration of reactant left after time 't' = 1 g
Putting values in above equation, we get:
Hence, the time required for a radioactive substance to remain less than 1 gram is 168.27 days.
Answer:
<h2>x = 6 and y = 2 → (6, 2)</h2>Step-by-step explanation: