Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

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 heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

Substitute x for -1 in <span> y=3x-1
</span>y = <span><span>(3) <span>(-1) -</span></span><span>1
</span></span>Solve
y = (3) (-1) -1
y = -3 - 1
y = -4
B.) -4 is your answer
0.59 increase because it went up
So if the total is $8.75, and 1 torch costs $7.66, and you bought 1 torch and two batteries, you would have to subtract 8.75 - 7.66 which is 1.09, and then divide that in half to get the price per battery.
Final answer = 1 Battery = $0.54
Answer: There are 8 students at Hamilton Middle School with red hair.
Step-by-step explanation:
Given: The proportion of the students at Hamilton Middle School have red hair = 2% = 0.02
Total students in Hamilton Middle School = 400
Then , the number of students have red hair = (proportion of the students have red hair ) x (Total students )
= (0.02) x (400)
= 8
Hence, there are 8 students at Hamilton Middle School with red hair.