the scalar product between two vectors involves which function of the angle between the lines of action of the two vectors

Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

The probability of an event of P(A∪B) is 49/128.

In this question,

Patricia will flip the coin 8 times.

The sample space is the flipping of a coin 8 times.

⇒ n(s) = 2⁸

⇒ n(s) = 256

Let A be the event that exactly 4 of the 8 flips are heads

⇒ n(A) = [tex]8C_4[/tex]                 [∵ [tex]nC_r=\frac{n!}{r!(n-r!)}[/tex]]

⇒ [tex]\frac{8!}{4!4!}[/tex] = 70

Then, P(a) = [tex]\frac{n(a)}{n(s)}[/tex]

⇒ [tex]\frac{70}{256}[/tex]

Let B be the event that the last two flips are tails

⇒ n(B) = [tex]8C_2[/tex]

⇒ [tex]\frac{8!}{2!6!}[/tex] = 28

Then, P(a) = [tex]\frac{n(b)}{n(s)}[/tex]

⇒ [tex]\frac{28}{256}[/tex]

Now, P(A∪B) = P(A) + P(B)

⇒ P(A∪B) = [tex]\frac{70}{256} + \frac{28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{70+28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{98}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{49}{128}[/tex]

Hence we can conclude that the probability of an event of P(A∪B) is 49/128.

Learn more about probability of event here

https://brainly.com/question/23182625

#SPJ4

Answer: 106!

Step-by-step explanation:

Answer:

12x - 3

Step-by-step explanation:

The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100

The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).

To learn more about hexadecimal, Visit:

https://brainly.com/question/13558984

#SPJ4

Answer:21,686

Step-by-step explanation:7*3098=21,686

Answer:

Yes

Step-by-step explanation:

Every x and y coordinate is different. The y-coordinates don't have the same x-coordinate, so the function passes the vertical line test. This function is called a discrete function since it's made up of individual points, not a line or curve.

Answer:

yes

Step-by-step explanation:

Different x and y coordinate

Different gradient of line graph

Therefore,it is a function.

We get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

We are given a multiplication expression:

( + 7 ) ( - 4)

We need to write this expression as a repeated addition

Repeated addition means when we add the same digits many times that is repeatedly.

For example: 3 + 3 + 3 + 3 or 8 + 8 + 8 + 8 or 5 + 5 + 5 +5 etc.

Here, we can see that -4 is multiplied by 7

It means that - 4 will be added 7 times repeatedly to form the expression

So, we get that:

= ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 )

Therefore, we get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

Learn more about repeated addition here:

https://brainly.com/question/1111494

#SPJ9

Answer:

38?

Step-by-step explanation:

I can't tell if you were dividing, but 456/12 is equal to 38. Same goes if you were looking for 456=12*x, which x is also 38.

Answer: Seven trillion i think

Step-by-step explanation:

The probability that every person gets his or her hat back is 1/n!

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

To learn more about equally likely function from given link

https://brainly.com/question/10282142

#SPJ4

Answer is A, 10703 / 25 = 428 r3

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x [tex](1+r/m)^{mt}[/tex]

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x[tex](1+0.06/12)^{1x12}[/tex]

                                   = $2972.70

The Future value in 1.5 years=2800x[tex](1+0.06/12)^{1.5x12}[/tex]

                                       = $3063.00

To learn more about interest, visit:

https://brainly.com/question/13324776

#SPJ4

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Find out more on volume at: https://brainly.com/question/1972490

#SPJ1

Answer:

S

Step-by-step explanation:

because an acute angle is and angle that is 89 or lower the rest are obtuse or right angle

Answer:

∠S

Step-by-step explanation:

An acute angle is an angle that is <90°, and in this case, angle S's measure is less than 90 or 15 in degrees, which both classify acute angles.

Final answer:

The standard deviation from the method A is 2.87

The standard deviation from the method B is 1.35

The standard deviation from the method C is 0.42

The standard deviation from the method D is 0.75

The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

The statistical concept of standard deviation is used to quantify the variability or dispersion around an average. It is a measure of volatility technically. The discrepancy between the actual and average value is known as the dispersion. The standard deviation increases as the variability or dispersion increases.

A low standard deviation indicates that the data are tightly grouped around the mean, while a high standard deviation indicates that the data are widely dispersed (less dependable) (more reliable)

Explanation:

The highest standard deviation is found in procedure A. Given that it is not based on any actual measurements and is subject to wildly different subjective judgment, one would anticipate that it would be the largest.

To learn more about standard deviation , visit

brainly.com/question/14725601

#SPJ4

The number of different possible outcomes is 24

The given parameters are:

Fair die = 6 sides

Spinner = 4 sections

The number of different possible outcomes is calculated using

Outcomes = Fair die * Spinner

This gives

Outcomes = 6 * 4

Evaluate

Outcomes = 24

Hence, the number of different possible outcomes is 24

Read more about combination at:

https://brainly.com/question/4658834

#SPJ1

Answer:

-205/69

Step-by-step explanation:

-41/3÷23/5

reciprocate, then the sign changes

-41/3×5/23

=-205/69

Answer:

it's 9 squar feet ;) ........

Answer:

the number 12

Step-by-step explanation:

the number 12 is a multiple of both 3 ans 4. the sum of the 2 digits in 12, is 3, which is a prime number. 12 only has 2 digits

When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Given,

You  roll 3 dice.

In each dice there will be 6 outcomes

Total number of  outcomes = [tex]6^{3}=216[/tex]

Conditions are

We can find the number of each cases by using the combination method

Number of cases all the outcomes are same =6

Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!

=90

Number of cases the numbers are all different= 6×5×4

=120

Therefore the expected win = (6×10+90×5-120×2)÷216

=270÷216

= $1.25

Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Learn more about combination here

brainly.com/question/13387529

#SPJ4

Answer:68.4 liters

Step-by-step explanation:  1.5x12=18 18x3.8=68.4

The area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

Given:

To find: Area swept by the wiper.

Finding:

As area of the sector = [tex]\frac{1}{2}r^{2}\theta[/tex],

Area swept by the wiper will be given by: (Area of the sector made by the top end of the windshield) - (Area of the sector made by the bottom end of the windshield)

=> Area swept by the wiper = [tex]\frac{1}{2}(30)^{2}\frac{3\pi}{4} - \frac{1}{2}(13)^{2}\frac{3\pi}{4}[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(900 - 169)[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(731)[/tex] ≈ 860.75 square inches

Hence, the area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

To learn more about area of a sector, refer to the link:https://brainly.com/question/22972014

#SPJ4

Answer:

Element of xcomponent is called domain.

Step-by-step explanation:

Domain=(-4,2,0,-3)

Hope this helpful for you.

The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.

What do you mean by conversion of units?

Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.

Calculation of the conversion factor to convert cm/s to m/min

We know that,

1 m = 100 cm

1 min = 60 s

To convert cm/s to m/min, we have

= 18 / (100 / 60)

= (18 × 3) / 5

= 54 / 5

= 10.8 m/min

Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.

To learn more about the conversion of units, visit here:

https://brainly.com/question/97386

#SPJ4

the answer is A because to be honest im writing this so it will show me the right naswer but it should be A

Answer: you didn't give me any numbers, so I can't give you an answer. But, I can help!

The slope intercept form is Y=mx+b

X and Y are your coordinates

m is the slope

b is the y-intercept.

As long as you know two of those, you can solve for the missing variable.

I hope this helps!!!

The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

Gradient intercept form Or slope incept form of a linear equation is given by

y = mx + c

where m is the gradient or slope of the equation  and c is the constant

As we are aware that the line passes through a point whose coordinates are (1, 11)

By putting the value of gradient/ slope,  x coordinate in place of x in equation and  y coordinate in place of y in equation we get

11 = 5 (1) +c

11= 5 + c

11-5 = c

6 = c

now, substituting the value of c in the Gradient/ slope intercept form

y = 5x + 6

Hence, The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

To know more about Gradient/ slope intercept form - https://brainly.com/question/9682526

#SPJ9

Answer: 0

Step-by-step explanation:

4 - 2(a - 3) =

4 - 2(5 - 3) =

4 - 2(2) =

4-4=0