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
Mila [183]
2 years ago
10

Select the matrix that represents the vector.​

Mathematics
1 answer:
Liula [17]2 years ago
5 0
<h3>Answer:  Choice D</h3>

Explanation:

Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.

Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6

Therefore the vector is \begin{bmatrix}7\\-6\end{bmatrix} which is in a column vector format. A row vector would have the numbers listed horizontally.

Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.

You might be interested in
Expand and simplify x(x+7)(x-2)
xz_007 [3.2K]

Answer:

x^2+7x+x^2-2x

=2x^2+5x

7 0
3 years ago
Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie.
I am Lyosha [343]

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

5 0
3 years ago
According to a​ survey, 65​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed
monitta

Answer:

a) P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

b) P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

c) We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

X \sim Binom(n=50, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

We want this probability:

P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421

Part b

We want this probability:

P(36 \leq X \leq 38)

We can find the individual probabilities:

P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714

P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502

P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319

And adding these values we got:

P(36 \leq X \leq 38)= 0.1535

Part c

We can find the expected value given by:

E(X) = np =50*0.65 = 32.5

And the standard deviation would be:

\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

\mu -2\sigma = 32.5- 2*3.373 = 25.75

And then we can consider a value of 18 as unusual lower for this case.

6 0
3 years ago
The sides of a triangle measure 10 feet, 13 feet, and 17 feet.
yuradex [85]
A right triangles hypotenuse is the square root of both of the other side squared. The formula for this is a^2 + b^2= c^2, with c being the longest side. So 10 squared is 100, 13 squared is 169, but. 17 squared is 289. The sum of the other two sides are 269. So it doesn’t equal
3 0
2 years ago
Read 2 more answers
Which of the following data sets is best described by a linear model
melamori03 [73]

Answer:

sry i dont know

Step-by-step explanation:

lolz

6 0
3 years ago
Other questions:
  • Two more than4 times a number is -18
    11·1 answer
  • Explain why (5,-2) and (-2,5) do not represent the same point
    13·1 answer
  • Phillips saves $8 each month. how many months will it take him to save at least $60
    14·2 answers
  • Students surveyed boys and girls separately to determine whether they wanted outdoor
    10·1 answer
  • 42/15•3/7<br> need help multiplying this
    12·1 answer
  • What groups of people controlled Algeria at one time?
    7·1 answer
  • Write each phrase as an algebraic expression<br><br> Two times n squared added to nine
    5·2 answers
  • What are the y intercepts for these graphs?
    7·1 answer
  • What is the answer for x+$4.30 =$15.00 ​
    15·2 answers
  • Name the place value to which each number was rounded<br> 7.429 to 7.4
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!