answer.
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
Harrizon [31]
2 years ago
14

Given that OA= 11x +6y, OB=4x +10y and CO= - 13x+11y, write down each of the following vectors in its simplest form.

Mathematics
1 answer:
levacccp [35]2 years ago
8 0

Answer:

  • BA = 7x -4y
  • AC = 2x -17y

Step-by-step explanation:

a) BA = OA -OB = (11x+6y) -(4x +10y)

  BA = 7x -4y

__

b) AC = -CO -OA = -(-13x +11y) -(11x +6y)

  AC = 2x -17y

_____

The vector OC is the opposite of the vector CO.

You might be interested in
A company plans to ship 2,000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have
Anna71 [15]
100 packages should have an incorrect weight
3 0
2 years ago
The mean GPA of student in a course at UCDevis is 3.2 with a standard deviation of 0.3. What percent of student in a course have
Orlov [11]

Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

                              Z  =   ~ N(0,1)

where,  = population mean GPA = 3.2

           = standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

       P(2.9 < X < 3.8) = P(X < 3.8) - P(X  2.9)

       P(X < 3.8) = P(  <  ) = P(Z < 2) = 0.97725

       P(X  2.9) = P(    ) = P(Z  -1) = 1 - P(Z < 1)

                                                        = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

5 0
2 years ago
Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. W
castortr0y [4]
A) baseball camp by $1.25 a day

5 0
2 years ago
Read 2 more answers
How many complex roots does the equation below have? X^6+x^3+1=0
gladu [14]
If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.
7 0
2 years ago
Read 2 more answers
Suppose that we want to investigate whether curfews correlate with differences in grades for students in middle school. We selec
Anton [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X: Curfew of middle school students (Categorized Yes/No)

Y: Average grade of middle school students. (Categorized: A, B, C, and D)

The objective is to test if there is an association between both variables, you have to conduct a Chi-Square test of independence.

In the null hypothesis, you state that both variables are independent vs. the alternative hypothesis that the variables are dependent.

The hypotheses for this test are:

H₀: Pij= Pi. * P.j i= (1)Yes, (2)No; j= (1)A, (2)B, (3)C, (4)D

H₁: Te variables are not independent.

α: 0.05

X^2= sum\frac{(O_{ij}-E_{ij})^2}{E_{ij}} ~~X_{(r-1)*(c-1)}

Where

Oij is the observed frequency for the i-row and j-column

Eij is the expected frequency for the i-row and j-column

r= number of categories in the rows

c= number of categories in the columns

X^2_{H_0}= 1.4796703

p-value: 0.687

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis. So using a 5% significance level, you can conclude that having a curfew and the average grades of middle schoolers are two independent variables.

3 0
2 years ago
Other questions:
  • Which shows two triangles that are congruent by AAS?
    11·2 answers
  • The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of
    6·1 answer
  • If (a^3+27)=(a+3)(a^2+ma+9) then m equals
    7·1 answer
  • The dot plot below shows how many chocolate chips were in each cookie Lauren brought to school.
    9·1 answer
  • Natalie and Preston would like to accumulate $25,000 at the end of 3.5 years for a future down payment on a house in Prescott. H
    11·1 answer
  • Two commuters leave the same city at the same time but travel in opposite directions. One car is traveling at an average speed o
    14·1 answer
  • In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don’t enjoy either pet
    12·1 answer
  • Which describes changes to the graph of w(x), when applying the transformation w(x – 19)?
    9·1 answer
  • An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4
    9·1 answer
  • In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!