1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rewona [7]
3 years ago
9

Ms. Haven recorded the number of homework assignments her students completed

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

You might be interested in
Help with this question
Sholpan [36]

With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

4 0
3 years ago
What are the period and amplitude of the function?
umka2103 [35]

Answer:

The period of function is 5 and amplitude is 3.

Step-by-step explanation:

<em>The period of the function is the time interval after which it repeats itself.</em>

It means the time interval after which the same value of graph is attained.

In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.

Thus the time interval is (10 - 5) 5 seconds.

<em>Amplitude is the maximum value attained by the graph in the complete interval.</em>

In the above case, the maximum value attained is 3.

8 0
3 years ago
In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz
BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0
3 years ago
Leslie currently spends $20 to have her yard raked each fall. Leslie is considering buying a leaf blower for $70. The model she
alekssr [168]
Cost of paying someone to rake her yard for for years would be $80. The leaf blower would cost $70. So she would save $10 buy buying the leaf blower.
3 0
3 years ago
Name the quadrant in which sinθ &lt; 0 and cosθ &gt; 0.<br><br> I<br> II<br> III<br> IV
qaws [65]
Quadrant IV
at quadrant IV, sinA is negative value while cosA is positive value
6 0
3 years ago
Other questions:
  • for independence day celebration 25000 flags were distributed to 70 schools .if 40 shcool receive 250 each and the remainder dis
    13·1 answer
  • To make six cakes Fred uses four and a half cups of sugar. How much sugar does he need for one cake?
    12·1 answer
  • Five liters of water were poured from tank A into tank B. and ten liters of water were then poured into tank C. If tank A origin
    13·2 answers
  • F(x)=3x-2
    12·1 answer
  • Helps me solve this problem please
    5·1 answer
  • Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your
    5·2 answers
  • X – 1= 4x + x - 8+ 3x
    8·1 answer
  • What is the area of the triangle on top? Include units. Base = 6 Length.1 = 6 Length.2 = 3
    5·2 answers
  • Name a point that is collinear with points B and I .
    11·1 answer
  • What is f(-3) for the function f(a). =-2ax2-5a+4
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!