Vectors u and v are perpendicular. ||u|| = 5√2 units, and ||v|| = 6√2 units. ||u + v|| ≈ ? units
A. 11.04
B. 11.05
C. 15.55
D. 15.56

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Answer:

  55 units

Step-by-step explanation:

If two angles have the same measure, the triangle is isosceles. That means two sides have the same measure. Since the two given sides are different measures, the remaining side must be one of those. The perimeter will be greatest if the congruent sides are the longest. The greatest perimeter is ...

  15 + 20 + 20 = 55 . . . units

Answer:

9.425 or 3π

Step-by-step explanation:

arc length = 2πr(θ/360)

The angle is 90˚ as indicated by the square symbol.

ABC = 2π6(90/360) = 9.425 or 3π

Answer:

geometric

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Science questions are T/F. That's .5 or [tex]\frac{1}{2}[/tex] chance to get it right.

7 questions. Each with a [tex]\frac{1}{2}[/tex].

That's [tex](\frac{1}{2})^{7}[/tex]  

[tex](\frac{1}{2})^{7}[/tex] = [tex]\frac{1}{128}[/tex] = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or [tex]\frac{1}{4}[/tex]

3 questions. Each [tex]\frac{1}{4}[/tex]

That's [tex](\frac{1}{4})^{3}[/tex]

[tex](\frac{1}{4})^{3}[/tex] = [tex]\frac{1}{64}[/tex] = .0156 = .016 rounded

The probability of getting all questions correct is 0.004 which is lower than for science (0.016).

Science questions are said to have a 6 out of 6 correct answer range and a 0.5 chance of being answered properly.

So, P(6) = 0.5⁶

P(6) = 0.016

We are informed that there are 4 out of 4 correct answers for English, with a 0.25 chance of getting it right.

Thus; P(4) = 0.25⁴ = 0.004

Thus, we conclude that they will have to study English.

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Answer:

x = 960

Step-by-step explanation:

x=√{576×(576+1024)}

or, x = √(576×1600)

or, x = √576×√1600

or, x = 24×40

or, x = 960

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

Answer:

1                  

-------------  

(x+2)(x-4)

Step-by-step explanation:

x+4                    x+3

-------------   * --------------

x^2+5x+6        x^2 -16

Factor

x+4                    x+3

-------------   * --------------

(x+3)(x+2)        (x+4)(x-4)

Cancel like terms

1                  1

-------------   * --------------

(1)(x+2)        (1)(x-4)

1                  

-------------    x cannot equal -3, -4, -2, 4  

(x+2)(x-4)

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.88}{2} = 0.06[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.06 = 0.94[/tex], so Z = 1.555.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that [tex]n = 300[/tex]

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 1.555\frac{300}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 300*1.555[/tex]

Dividing both sides by 15

[tex]\sqrt{n} = 20*1.555[/tex]

[tex](\sqrt{n})^2 = (20*1.555)^2[/tex]

[tex]n = 967.2[/tex]

Rounding up:

The administrator should sample 968 students.

Answer:

No, binomial distribution cannot be applied.

Step-by-step explanation:

We known that a Binomial Distribution depends on provided experiment , a binomial distribution have only 2 outcomes. For example, when we flip a coin in the air, then the possible outcomes are Head and Tail.

But in the context, an American roulette wheel has [tex]37[/tex] outcomes. It means when we spin the American Roulette wheel, ball may lend on any of the numbers between 0 to 36. So there are more than [tex]2[/tex] outcomes.

Therefore, binomial distribution can not be applied here.

Answer:

0.5

Step-by-step explanation:

P(that an event occurs) = 0.5

P(that an event does not occur) = 1 - P(that an event occurs)

                                                     = 1 - 0.5

                                                     = 0.5

Answer:

It is also 0.5

Step-by-step explanation:

From independent events:

[tex]{ \bf{p + q = 1}}[/tex]

p is probability for an event to occur (success).

q is probability for an event not to occur (failure).

[tex]{ \tt{0.5 + q = 1}} \\ { \tt{q = 1 - 0.5}} \\ { \tt{q = 0.5}}[/tex]

Answer:

99

Step-by-step explanation:

99

Answer:

x=57/2

Step-by-step explanation:

2x+3=60

<=> 2x=57

=> x=57/2

Answer:

Poggers

Step-by-step explanation:

Answer:

[tex]T=812[/tex]

Step-by-step explanation:

From the question we are told that:

No. Committee Members [tex]n=6[/tex]

Pool of : 5 students and 7 faculty members

At least 2 student members and at least 1 faculty member

Generally the committee is mathematically given by

The Total Events are

[tex]T=(^5C_2*^7C_4)+(^5C_3)*(^7C_3)+(^5C_4)*(^7C_2)+(^5C_5)*(^7C_1)[/tex]

[tex]T=350+350+105+7[/tex]

[tex]T=812[/tex]

Answer:

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240

Step-by-step explanation:

9514 1404 393

Answer:

  x/1.6

Step-by-step explanation:

Let n represent the number. When n is increased by 100%, its new value is ...

  n(1 +100%) = n(1 +1) = 2n

When this value is decreased by 20%, its new value is ...

  (2n)(1 -20%) = (2n)(0.8) = 1.6n

This value is x, so the number is ...

  1.6n = x

  n = x/1.6 . . . . . . . divide both sides by 1.6

Answer:

6

Step-by-step explanation:

Therefore, the number 6.4 rounded to the nearest whole number is 6. * If the number you are rounding off is followed by 0,1,2,3,4, round the number down. To find 6.4 rounded to the nearest whole number.

Please Mark me brainliest

Answer:

[tex]-8-6i[/tex]

Step-by-step explanation:

[tex]\frac{2-36i}{2+3i} * \frac{2-3 i}{2-3i}[/tex]

-104-78i /13

-8-6i

The square root of (2-36i)/(2+3i)​ is √(112-66i)/13.

The given expression is [tex]\frac{2-36i}{2+3i}[/tex].

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Multiply both numerator and denominator by 2-3i.

Now, [tex]\frac{2-36i}{2+3i}\times\frac{2-3i}{2-3i}[/tex]

= [tex]\frac{(2-36i)(2-3i)}{(2+3i)(2-3i)}[/tex]

= [tex]\frac{(4-72i+6i-108i^2)}{4-9i^2}[/tex]

= [tex]\frac{(4-66i+108)}{4+9}[/tex]

= [tex]\frac{(112-66i)}{13}[/tex]

Now square root is √(112-66i)/13

Therefore, the square root of (2-36i)/(2+3i)​ is √(112-66i)/13.

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Answer:

pordondede donde eres?

Step-by-step explanation:

........................

Answer:

y-3 = 2(x-1)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-3 = 2(x-1)

Answer:

3=2x+1

Step-by-step explanation:

Use the equation y=mx+b

where y is the y component, x is the variable and b is the x intercept

Answer:

Abdul's tank can hold 27 gallons of gas.

Step-by-step explanation:

Given that Abdul's gas tank is 1/3 full, and after he buys 12 gallons of gas, it is 7/9 full, to determine how many gallons can Abdul's tank hold the following calculation must be performed:

1/3 = 0.3333

7/9 = 0.7777

0.777 - 0.333 = 0.444

0.444 = 12

1 = X

12 / 0.444 = X

27 = X

Therefore, Abdul's tank can hold 27 gallons of gas.

Answer:

A

Step-by-step explanation:

Given that the cones are similar then corresponding dimensions are in proportion, that is

[tex]\frac{12}{2}[/tex] = [tex]\frac{3}{x}[/tex] ( cross- multiply )

12x = 6 ( divide both sides by 12 )

x = 0.5 → A

Subtract the meal:

89.97- 10.85 = 79.12

Let the play station game = x

A water ride is twice that so a water ride is 2x

There is 3 water rides : 3 x 2x =6x

The PlayStation game and water rides = 79.12

6x + x = 79.12

Simplify:

7x = 79.12

Divide both sides by 7:

X = 11.30

The PlayStation game is 11.30

The water ride = 2 x 11.30 = 22.60

Answer:

the answer is 3.162

Step-by-step explanation:

Answer:

25 cm.

Step-by-step explaination:

Given,

Two sides of a triangle:

a = 7cm

b = 24 cm

To find,

Third side:

c = ?

By Pythagorean Theorem;

a² + b² = c²

[where c is the longest side,hypotenuse]

Putting the value of a and b;

we get,

7² + 24² = c²

49 + 576 = c²

625 = c²

25² = c² (square root)

25 = c

c = 25

Therefore, the length of the third side will be equal to 25 cm.

The lengths of two sides of the right triangle ABC shown in the illustration given

a= 7cm and b= 24cm

> a= 7cm

> b= 24cm

Side c (third side)

Using Pythagoras theorem,

▶️ a² + b² = c

▶️ 7cm ² + 24cm² = c²

▶️ 49cm + 576cm = c²

▶️ 625cm = c²

▶️ 25² = c² (25×25 = 625)

▶️ c = 25

The value of c is 25 cm.

Answer:

(-4,8)

Step-by-step explanation:

The solution to the system is where the lines intersect

The lines intersect at x=-4 , y = 8

(-4,8)

Answer:

a) someone will steal her stuff in any other situation even if a stranger watches it

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number of non-cardholder tickets sold. Then total revenue is ...

  2.00n +1.25(578 -n) = 880.00

  0.75n + 722.50 = 880.00

  0.75n = 157.50 . . . . . . . . . . . subtract 722.50

  n = 210 . . . . . . . . . . . . . . . divide by 0.75. Number of non-cardholder tickets

  578 -n = 368 . . . . . number of cardholder tickets

368 cardholder and 210 non-cardholder tickets were sold.

Answer:

-1/6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 10-8)/(-21 - -9)

  = ( 10-8)/(-21 +9)

   = 2 /-12

  = -1/6

Answer:

The expected flight time is 2 hours 10 minutes

Step-by-step explanation:

Given

[tex]a = 2\ hours[/tex]

[tex]b = 2\ hours\ 20\ mins[/tex]

Required

The expected flight time

To do this, we simply calculate the mean using:

[tex]Mean = \frac{a + b}{2}[/tex]

So, we have:

[tex]Mean = \frac{2\ hours + 2\ hours\ 20\ mins}{2}[/tex]

[tex]Mean = \frac{4\ hours\ 20\ mins}{2}[/tex]

[tex]Mean = 2\ hours\ 10\ mins[/tex]

Answer:

Step-by-step explanation: