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2 years ago

6

Use the vectors u = 4, 4 and v = −8, 3 to find the indicated quantity. (u · v)v

1 answer:

Olin [163]2 years ago

7 0

The scalar product, or dot product, of two vectors is the sum of the products of corresponding coordinates.

... u·v = (4, 4)·(-8, 3) = 4(-8) + 4(3) = -20

Then the product of a scalar and a vector is a vector with each of the original coordinates multiplied by the scalar.

... (u·v)v = -20v = -20(-8, 3) = (160, -60)

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magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose

Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do $\r p , \ \r q$ , n, E, and p represent? If the confidence level is 90%, what is the value of $\alpha$ ?

Answer:

a

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$E$ is the margin of error is $E = 0.05$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e $\r q = 1- \r p$

b

$\alpha = 10\%$

Step-by-step explanation:

Here

$\r p$ is the sample proportion $\r p = 0.12$

$n$ is the sample size is $n = 500$

$\r q$ represents the proportion of those that did not chose chocolate pie i.e

$\r q = 1- \r p$

$\r q = 1- 0.12$

$\r q = 0.88$

$E$ is the margin of error is $E = 0.05$

Generally $\alpha$ is the level of significance and it value is mathematically evaluated as

$\alpha = ( 100 - C )\%$

Where $C$ is the confidence level which is given in this question as $C = 90 \%$

So

$\alpha = ( 100 - 90 )\%$

$\alpha = 10\%$

5 0

2 years ago

Given a dilation around the origin, what is the scale factor K?<br><br> Do, K = (20,16) → (-5,-4)

Rudik [331]

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

<u>The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.</u>

Hence the scale factor is K = -1/4.

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2 years ago

81.3 x 47.5 = i am lost............

Drupady [299]

Answer:

3861.75

Step-by-step explanation:

i hope its the good answer

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2 years ago

Translate "The product of the cube root of 5 and X^ prime prime into an algebraic expression

svp [43]

Answer:

Le produit de la racine cubique de 5 et de X ^ prime prime en une expression algébrique: french, youre welcome.

Step-by-step explanation:

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2 years ago

Gia is painting her wall. 1 liter of paint can cover 10 square meters. She has a rectangular wall that

garik1379 [7]

5*4 equals 20 so her wall is 20 square meters
Given that one litre can cover 10 square meters, she needs 2 litres of paint to cover the wall

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2 years ago