Answer:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
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
Emilia case
Let X the random variable that represent the scores of a test, and we know that
Where 
and 
The z score formula is given by:
Since Emilia made 83 points we can find the z score like this:
Ferdinand case
Let X the random variable that represent the scores of a test, and we know that
Where 
and 
The z score formula is given by:
Since Ferdinand made 79 points we can find the z score like this:
As we can see the z score for Ferdinad is higher than the z score for Emilia so on this case we can conclude that Ferdinand was better compared with his group of reference.
Answer:
She will need to earn a little more than $1333 that week.
Step-by-step explanation:
600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333
Check by doing 1333 x 0.45 (comes out to be 599.85)
Answer:
subtract 5
Step-by-step explanation:
subtract 5 from each side of the equal sign..
Answer:
The correct option is;
17,202 feet
Step-by-step explanation:
The distance from the observer to the bird is given as 21,000 ft
The angle between the line of flight of the bird to the horizontal line from its nest = 35°
With the triangle BNO = A right triangle, we have;
The distance of the bird from its nest = Adjacent leg of the right triangle
The distance of the observer from the bird = Hypotenuse length
Which by trigonometric relations gives;
21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
