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
adoni [48]
2 years ago
5

How to find the degree in the polynomial

Mathematics
1 answer:
Tatiana [17]2 years ago
6 0

Answer:

To find the degree of the polynomial you need to add up the exponents of each term and pick the highest sum.

You might be interested in
Which line represents a graph with a slope of 1/3?
kotegsom [21]
Option 3 should be correct. Use rise over run.
5 0
2 years ago
A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?
MariettaO [177]

The answer is 3, –2, –7, –12

5 0
3 years ago
Read 2 more answers
A researcher collected data on the hours of TV watched per day from a sample of five people of different ages. Here are the resu
frozen [14]

Answer:

1. The least squares regression is y = -0.1015·x + 6.51

2. The independent variable is b) age

Please see attached table

Step-by-step explanation:

The least squares regression formula is given as follows;

\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y}  \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}}

We have;

\bar x = 24

\bar y = 4

\Sigma (x_i - \bar x) (y_i - \bar y) = -79

\Sigma (x_i - \bar x)^2 = 778

\therefore \hat \beta =\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y}  \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}} = \frac{-79}{778} = -0.1015

The least squares regression is y = -0.1015·x + α

∴ α = y  -0.1015·x = 6 - (-0.1015 × 5) = 6.51

The least squares regression is thus;

y = -0.1015·x + 6.51

2. The independent variable is the age b)

3. Steps to create an ANOVA table with α = 0.05

The overall mean = (43  + 30  + 22  + 20  + 5  + 1  + 6  + 4  + 3  + 6 )/10 = 14

There are 2 different treatment = df_{treat} = 2 - 1 = 1

There are 10 different treatment measurement = df_{tot} = 10 - 1 = 9

df_{res} = 9 - 1 = 8

df_{treat} + df_{res} = df_{tot}

The estimated effects are;

\hat A_1 = 24 - 14 = 10

\hat A_2 = 4 - 14 = -10

SS_{treat} = 10^2 \times 5 + (-10)^2 \times 5 =1000

\sum_{i}\SS_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y)= [(1 - 4)^2 + (6 - 4)^2 + (4 - 4)^2 + (3 - 4)^2 + (6 - 4)^2] = 18

\sum_{i} S S_{row}_i = \sum_{i}\sum_{j} (y_{ij} - \bar y) ^2= [(43 - 24)^2 + (30 - 24)^2 + (22 - 24)^2 + (20 - 24)^2 + (5 - 24)^2] = 778

S S_{res} = \sum_{i} S S_{row}_i = 778 + 18 = 796

SS_{tot} = (43  - 14)² + (30  - 14)² + (22  - 14)² + (20  - 14)² + (5  - 14)² + (1 - 14)1² + (6  - 4 )² + (3  - 14)² + (6  - 14)² = 1796

MS_{treat} = \dfrac{SS_{treat} }{df_{treat} } = \dfrac{1000}{1} = 1000

MS_{res} = \dfrac{SS_{res} }{df_{res} } = \dfrac{796}{8} = 99.5

F- value is given by the relation;

F = \dfrac{MS_{treat} }{MS_{res} } = \frac{1000}{99.5} = 10.05

We then look for the critical values at degrees of freedom 1 and 8 at α = 0.05 on the F-distribution tables 5.3177

Hence; F = 10.05 > F_{1,8}^{Krit}(5\%) = 5.3177, we reject the null hypothesis.

7 0
3 years ago
If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
Feliz [49]

Answer:

x = 6

y = 13

Step-by-step explanation:

since DE and JK are congruent, they are both 18

to find 'y':

3y - 21 = 18

3y = 39

y = 13

DF and JL are diagonals that are congruent so:

9x - 23 = 7x - 11

2x = 12

x = 6

4 0
3 years ago
Read 2 more answers
Given the equation x+y=20 and x-y=8,which values of x and y satisfy both equations
olya-2409 [2.1K]

Answer:

x=14 y=6

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the slope of the line shown below (-2,5) and (3,-5)
    13·1 answer
  • Y=-4x-5 and y=-4x+1<br> Many solitions, one solution, or no solution
    6·1 answer
  • PLEASE HELP I NEED THIS ASAP<br> Find the vertex of y=x^2-7x+4
    12·1 answer
  • Factor each expression 45c+ 10d
    6·1 answer
  • Which equation represents a nonlinear function?
    15·1 answer
  • Write and solve the following problem-<br> 4(x-9)-2x=-3x+14
    14·1 answer
  • What is the rate of 70 miles in 2 hours in unit rate
    5·2 answers
  • Ross paid $154.48 for 8 DVDs that were
    6·2 answers
  • Both students made a mistake.
    15·2 answers
  • The number of students attending Martin Middle School decreased by 80 over a 10-year period. What integer represents the average
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!