the answer is A
these are filler words so I can submit it haha
Answer:
And we can find this probability with this difference:
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 amount of cofee shops 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 with this difference:
Answer:

Step-by-step explanation:
2 divided by 6 is 
To confirm it,

Answer:
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
Step-by-step explanation:
We are given that The owner believes that on 50% of the days she sells 100 pies.
So, Probability of selling 100 pies = 0.5
On another 25% of the days she sells 150 pies
So, Probability of selling 150 pies = 0.25
She sells 200 pies on the remaining 25% of the days
So, Probability of selling 200 pies = 0.25
We are given that the owner bakes 200 pies each day at a cost of $2.50 each.
So, Cost per day =
Probability No. of pies Cost
0.5 100 500
0.25 150 500
0.25 200 500
Now we are given that she sells the pies for $3 each
So, SP of 100 pies =
SP of 150 pies = 
SP of 200 pies = 
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
Answer:
∠E = 40°
Explanation:
The sum of interior angles in any polygon can be calculated using the following rule:
sum of interior angles = (n-2)*180
where n is the number of sides.
Now, a quadrilateral has 4 sides, this means that:
sum of interior angles = (4-2)*180 = 360°
Based on the above:
∠C + ∠D + ∠E + ∠F = 180
We are given that:
∠C = 60°
∠D = ∠E = ∠F
Therefore:
60 + 3*∠E = 180
3 * ∠E = 120°
∠E = 120/3 = 40°
Hope this helps :)