Answer:
The correct answers are "After adding the 0 test score, the mean would be affected.", ad "Before the missed test, Eva’s median score was 91".
Step-by-step explanation:
We know that the mean and median scores would not be helpful in determining Eva's abilities since the 0 is not a representation of how much she knows. However, it will affect the average as adding a 0 to the numerator and a 1 to the denominator will lower the average.
Finally, we can tell the median is 91 before added as when we line up the scores in ascending order, the middle number is 91.
82, 90, 91, 96, 100
Answer:
$13.20/hr
Step-by-step explanation:
A 10% wage increase would amount to 0.10($12) = $1.20. Adding this increase to the starting rate $12/hr results in $13.20/ hr.
A faster way in which to do this is shown below:
Wages after a 10% increase = (1.10)($12/hr) = $13.20/hr
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
Answer:
Part A:
Part B:
Generations Age=25*39=975 years
Part C:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
Step-by-step explanation:
Given Data:
Two Parents, Four Grand Parents, Eight great Grand Parents.
Generation=39
Solution:
Part A:
From given data Following series is made:
Now, Above series will become:
![2[1+2+2^2+......+2^{38}]](https://tex.z-dn.net/?f=2%5B1%2B2%2B2%5E2%2B......%2B2%5E%7B38%7D%5D)
From geometric Sequence:
![2[\frac{2^{38+1}-1}{2-1} ]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B2%5E%7B38%2B1%7D-1%7D%7B2-1%7D%20%5D)
Part B:
Generations Age=years*Number of generations
Generations Age=25*39=975 years
Part C:
Number of people lived= 10^11
Ancestors=
It means ancestors are not distinct, it means:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
First transformation.
Duadrilateral ABCD has vertices with such coordinates:
- A(15,10);
- B(15,20);
- C(20,15);
- D(20,5).
Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then
- A(15,10)→A'(15,10);
- B(15,20)→B'(5,10);
- C(20,15)→C'(10,15);
- D(20,5)→D'(20,15).
Second transformation.
1. A reflection across the y axis has a rule:
(x,y)→(-x,y).
Then
- A'(15,10)→A''(-15,10);
- B'(5,10)→B''(-5,10);
- C'(10,15)→C''(-10,15);
- D'(20,15)→D''(-20,15).
2. A translation 20 units down has a rule:
(x,y)→(x,y-20).
Then
- A''(-15,10)→G(-15,-10);
- B''(-5,10)→H(-5,-10);
- C''(-10,15)→I(-10,-5);
- D''(-20,15)→J(-20,-5).
Answer: first blank -B, second blank - B.
