Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:
1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55
A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:
78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23
A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:
99.7% of people.
Answer: Kell would be making more money in 19 hours.
Step-by-step explanation:
If you add it up, Kell makes 136$ in only 16 hours but mariko makes 133 in the full 19 hours. Which means that Kell would make more in 19 hours. The total Kell makes in 19 hours is 161.5 and $161.5 > $133. Let me know if you need any more help!
Franklin has to attend 10 weeks of school this quarter to have taken 30 quizzes.
The first step is the find the number of quizzes Franklin takes per week of school. To do that, use the formula:
<em>= Number of quizzes / Number of weeks of school so far</em>
= 18 / 6
= 3 quizzes per week
If Franklin gets 3 quizzes a week, to have 30 quizzes he will have to be in school for:
<em>= Number of quizzes in total / Number of quizzes per week </em>
= 30 / 3
= 10 weeks
Franklin will have to attend 10 weeks of school to write 30 quizzes.
<em>Find out more at brainly.com/question/24572137.</em>
Let x be the smaller number and y the larger:
As the numbers are consecutive y - x = 1
And 3y + x = 31 (3 times the large added to the smaller)
From the first equation y = x + 1
By substituting:
3(x + 1) + x = 31
3x + 3 + x = 31
4x = 28
x = 7
y = x + 1
y = 7 + 1 = 8
Answer:
<h2>x = 5/7</h2>
Step-by-step explanation:
-4x + 1 = 3x - 4 <em>subtract 1 from both sides</em>
-4x = 3x - 5<em> subtract 3x from both sides</em>
-7x = -5<em> </em>divide both sides by (-7)
<em>x = 5/7</em>