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
frosja888 [35]
2 years ago
8

The components of vector A are (10.5, 10.2). Waht is the magnitude of the vector?

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

Answer:

||\overrightarrow{v}||\approx14.64

Step-by-step explanation:

The magnitude of a vector \displaystyle \overrightarrow{v}=\langle x,y\rangle is ||\overrightarrow{v}||=\sqrt{x^2+y^2}, which essentially describes the length of the vector itself between the initial and terminal points:

||\overrightarrow{v}||=\sqrt{x^2+y^2}\\\\||\overrightarrow{v}||=\sqrt{(10.5)^2+(10.2)^2}\\\\||\overrightarrow{v}||=\sqrt{110.25+104.04}\\\\||\overrightarrow{v}||=\sqrt{214.29}\\\\||\overrightarrow{v}||\approx14.64

You might be interested in
Which number has only two factors? Why?<br><br> a)21<br><br> b)23<br><br> c)25<br><br> d)27
vagabundo [1.1K]

Answer:

I believe the answer would 25 hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How to solve for y if  the equation is y=5/2x + 5 if x is zero
Karolina [17]
y=\dfrac{5}{2}\cdot0+5\\&#10;y=0+5\\&#10;y=5
5 0
3 years ago
Read 2 more answers
A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi
34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{X}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{X}=\sqrt{n}\sigma

It is provided that:

\mu=\$27\\\sigma=\$18\\n=310

As the sample size is quite large, i.e. <em>n</em> = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let <em>s</em> denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding <em>z-</em>value is, -2.33.

Compute the value of <em>s</em> as follows:

z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0
2 years ago
A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?
katen-ka-za [31]
Let's treat the speed in one hour as a variable.
We can say that 1500=12.5x
Divide by 12.5
1500/12.5 = x
x = 120
120 mph is your answer.
6 0
3 years ago
Graph a line with a slope of 4 that contains the point (3,0).
Korvikt [17]

Answer:

just graph the line: y=4x-12

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Rounded 70,652 to the nearest 100
    15·1 answer
  • Find the area in square inches of a parallelogram with a base of 12.54 inches and a height 17 inches. Round to the nearest hundr
    12·1 answer
  • What is the equation of a line that passes through the point -(6,6) and has a slope of 1/3​
    14·1 answer
  • Which of the following does NOT represent a straight line?
    12·1 answer
  • Please help<br><br> will mark brainlist
    15·1 answer
  • I need help with this plssssss
    9·2 answers
  • Answers Appreciated! Thanks if you help!
    6·1 answer
  • The graph of the following systems of equations is ____.
    12·1 answer
  • The length of a classroom is (10x+6) feet. The width of the classroom is (9x+8) feet. Find the area of the classroom tell me eve
    14·1 answer
  • I thought of the number that is between 104 and 140. The number is divisible by 6 and 15. What is my number?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!