Answer:
Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution of X is normal then we know that the distribution for the sample mean 
is given by:
And we have;
Step-by-step explanation:
Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of Round your answers to two decimal places.
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 delivery times of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then we know that the distribution for the sample mean is given by:
And we have;
Answer:
1st, 2nd and 6th options
Step-by-step explanation:
Given
- x + 
= 6x ( multiply through by 6 to clear the fractions )
4 - 6x + 1 = 36x ← option 1 will have the same solution set
----------------------------------------------------------------------
Adding the 2 fractions on the left side gives
+ - x = 6x , that is
- x = 6x ← option 2 will have the same solution set
------------------------------------------------------------------------
From
4 - 6x + 1 = 36x ( add 6x to both sides )
5 = 42x ← option 6 will have the same solution set
X=year
y=$
y=200(1.003)^12x
3.6%->.036/12 (compounded monthly)
=0.003+1
y=200(1.003)^12(1) (1 year)
=$207.31999
BUT
200•12 ($200 deposited every month)
=$2400
2400+207.3199=
$2607.32
Answer:
Step-by-step explanation:
When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:
A = kB
Where k is the proportionality constant (to be found)
In this problem, it is given x varies DIRECTLY with y, so we can write:
x = ky
Also, given, x = 11, y = -3, so we plug these into the equation and first find k:
x = ky
11 = k(-3)
k = -11/3
Now, we need to find x when y = 8, so we substitute and find x:
Answer:
the answer is B. $36 for working 4 hours
Step-by-step explanation:
took the test.
