Answer:
And using a calculator, excel or the normal standard table we have that:
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 scores 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 we know that the distribution for the sample mean
is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that:
Answer:
increase 20 times
Step-by-step explanation:
when you have a double increase and decrease then you multiply
But if they are different then you divide
5 - increase
4 - increase
<u><em>20- increase</em></u>
Answer:
under root 2, 1.5, 2π
Step-by-step explanation:
under under root 2 is equals to 1.414
1.5
2×22/7
44/7
6.2
Answer:
3 friends
Step-by-step explanation:
4 / 1 1/3 = 4 / 4/3 = 4 x 3/4 = 3 friends
Hope that helps!
Answer:
The kitchen requires 288 sq. ft. of tile
The master bathroom requires 180 sq. ft. of tile
In total, we will spend $1170
Step-by-step explanation:
The area of the kitchen is length * width:
Area of Kitchen =
sq. ft.
The area of the master bathroom is length * width:
Area of Master Bathroom =
sq. ft.
- <u>Question 1: "How many square feet of tile do I need for the kitchen?"</u>
The kitchen requires 288 sq. ft. of tile
- <u>Question 2: " How many square feet of tile will I need for the bathroom?"</u>
The master bathroom requires 180 sq. ft. of tile
- <u>Question 3: "If the tile costs $2.50 per sq ft, how much money will I spend on tile?"</u>
In total, <u><em>we require
sq. ft. of tiles</em></u>. If $2.50 is charged per square feet, in total we will spend:
dollars