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
____ [38]
3 years ago
13

Ms. Mosher recorded the math test scores of six

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
The mean of the students scores is 81.3, the median is 80.
If Ms.Mosher adds 5 bonus points to each student, the mean and median will both increase by 5 of the six student’s scores!
You might be interested in
Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the va
Eddi Din [679]

The polynomial remainder theorem says that a polynomial <em>p(x)</em> leaves a remainder of <em>p(k)</em> when it's divided by <em>x</em> - <em>k</em>.

We're given that dividing <em>p(y)</em> = 2<em>y</em>³ + <em>by</em>² - <em>cy</em> + <em>d</em> leaves the same remainder <em>R</em> after dividing it by <em>y</em> + 1, <em>y</em> - 2, and 2<em>y</em> - 1. So we have

<em>p</em>(-1) = 2(-1)³ + <em>b</em>(-1)² - <em>c</em>(-1) + <em>d</em> = <em>R</em>

==>  <em>R</em> = -2 + <em>b</em> + <em>c</em> + <em>d</em>

<em>p</em>(2) = 2(2)³ + <em>b</em>(2)² - <em>c</em>(2) + <em>d</em> = <em>R</em>

==>  <em>R</em> = 16 + 4<em>b</em> - 2<em>c</em> + <em>d</em>

<em>p</em>(1/2) = 2(1/2)³ + <em>b</em>(1/2)² - <em>c</em>(1/2) + <em>d</em> = <em>R</em>

==>  <em>R</em> = 1/4 + <em>b</em>/4 - <em>c</em>/2 + <em>d</em>

<em />

We're also given that <em>y</em> + 2 is a factor, which means dividing <em>p(y)</em> by it leaves no remainder, and so

<em>p</em>(-2) = 2(-2)³ + <em>b</em>(-2)² - <em>c</em>(-2) + <em>d</em> = 0

==>  0 = -16 + 4<em>b</em> + 2<em>c</em> + <em>d</em>

<em />

Solve the system of equations in boldface. You can eliminate <em>d</em> from the first 3 to first solve for <em>b</em> and <em>c</em>, then solve for <em>d</em> :

(-2 + <em>b</em> + <em>c</em> + <em>d</em>) - (16 + 4<em>b</em> - 2<em>c</em> + <em>d</em>) = <em>R</em> - <em>R</em>

-18 - 3<em>b</em> + 3<em>c</em> = 0

<em>b</em> - <em>c</em> = -6

(-2 + <em>b</em> + <em>c</em> + <em>d</em>) - (1/4 + <em>b</em>/4 - <em>c</em>/2 + <em>d</em>) = <em>R</em> - <em>R</em>

-9/4 + 3<em>b</em>/4 + 3<em>c</em>/2 = 0

<em>b</em> + 2<em>c</em> = 3

(<em>b</em> - <em>c</em>) - (<em>b</em> + 2<em>c</em>) = -6 - 3

-3<em>c</em> = -9

<em>c</em> = 3

<em>b</em> - 3 = -6

<em>b</em> = -3

-16 + 4(-3) + 2(3) + <em>d</em> = 0

<em>d</em> = 22

7 0
3 years ago
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun
Tomtit [17]

Answer:

1/12

Step-by-step explanation:

There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.

6 0
3 years ago
With problems can be solved
Akimi4 [234]

Answer:

B

It says Henry scored 9 points every game and he played 4 games. So the equation is 9 × 4.

5 0
3 years ago
Find the equation of the line passing through the points (7, 16) and (2, −4). Then state the slope and coordinates of the x- and
Elanso [62]

Answer:

Equation point-slope model is: y-16 = 4 (x-7)

Slope =4

x-intercept=(7,2)

y-intercept=(16,-4)

Step-by-step explanation:

6 0
3 years ago
Divide. write each answer in simplest form.
Aleksandr [31]

Answer:

just do cross multiplication

Step-by-step explanation:

then ans will come

5 0
3 years ago
Read 2 more answers
Other questions:
  • An online furniture store sells chairs for $200 each and tables for $800 each. Every day, the store can ship at most 19 pieces o
    15·2 answers
  • Carrie had 140 coins.She has 10 times as many coins as she had last month.How many coins did Carrie have last month?
    9·2 answers
  • Whats 45 572 in words
    6·2 answers
  • Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group be
    14·2 answers
  • HELP ME!! I GIVE YOU 20 POINTS BE QUICK AND GET IT RIGHT PLEASE
    13·2 answers
  • Why is 1 + (−5) equal to −4? (1 point)
    11·1 answer
  • The function A(b) relates the area of a trapezoid with a given height of 10 and
    15·1 answer
  • I need help ! Please help me
    13·2 answers
  • The speeds in miles per hour of seven randomly selected qualifiers for the Indianapolis 500 (in 2012) are listed below. Estimate
    8·1 answer
  • The diagram shows a right-angled triangle and a parallelogram.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!