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3 years ago

How are dot products useful?

Mathematics

2 answers:

nata0808 [166]3 years ago

6 0

Answer:

An important use of the dot product is to test whether or not two vectors are orthogonal. Two vectors are orthogonal if the angle between them is 90 degrees. ... Thus, two non-zero vectors have dot product zero if and only if they are orthogonal.

Step-by-step explanation:

Alex777 [14]3 years ago

3 0

Dot product is to test whether or not two vectors are orthogonal. Two vectors are orthogonal if the angle between them is 90 degrees. ... Thus, two non-zero vectors have dot product zero if and only if they are orthogonal.

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A university has 34,350 students. In a random sample of 255 students, 17 speak three or more languages. Predict the number of st

agasfer [191]

230.
Because (34350/255)*17 equals 230

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1 year ago

Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.

sleet_krkn [62]

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

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3 years ago

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It takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?

BlackZzzverrR [31]

Answer:

120 min

2 hrs

Step-by-step explanation:

60 min=1 hr

60 min/5=12 min

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3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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2 years ago

An EPA contractor needs to test the concentration of a substance in ten samples of the ground water. Seventy samples were

olga55 [171]

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ; ( x / n )^th of the sampling frame for best results

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3 years ago