(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

Answer:

a) he would have 27500 won

b) changbin and han would have 70 lightsticks

Step-by-step explanation:

a)

multiply 45 rings by 500 won to get the total expense

45 x 500 = 22500

then subtract 22500 won from 50000 to get the amount left after the purchase

50000 - 22500 = 27500

this results in 27500 won total

b)

subtract 75 from 145 to get the amount left

145 - 75 = 70

Answer:

Hyunjin has 27,500 left.

Changbin & Han have 70 lightsticks left.

Step-by-step explanation:

A) 45 × 500 = 22500      50,000 - 22500 = 27500

B) 145 - 75 = 70

Answer:

15 miles

Step-by-step explanation:

Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.

Answer:

15

Step-by-step explanation:

because its correct just did the thing.

Answer:

The answer is option A.

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

Answer:

50

Step-by-step explanation:

I have set up an equation, where 'x' is the larger number:

x + (x - 12) = 88

Solve for 'x':

x + (x - 12) = 88  

x + x - 12 = 88

2x - 12 = 88

2x -12 + 12 = 88 + 12

2x =  100

2x/2 = 100/2

x = 50

The larger number should be 50.

Answer:50

Step-by-step explanation:

Answer:  6.25    IF my assumption is correct about the missing x!

The Other way around:   4.5  with    2x² + y² / 3

Step-by-step explanation:  2y² + y² / 3  assuming the 2nd y should have been x, 1st y  is y,  and all divided by 3

2(3)² + (1.5)² / 3

2(9) + 2.25   /3

18 + 2.25  /3

20.25/3

6.25

Edited to correct!________ OR 2y² + y² / 3  assuming the 1st y should have been x, 2nd y  is y,  and all divided by 3

2(1.5)² + (3)² / 3

2(2.25) + 9  / 3

4.5 + 9  /3

13.5 /3

4.5

Answer:

[tex]\frac{13.5}{3}[/tex]

Step-by-step explanation:

=> [tex]2x^2+y^2/3[/tex]

Where x = 1.5, y = 3

=> 2(1.5)²+(3)² / 3

=> 2(2.25)+9 / 3

=> 4.5 + 9 / 3

=> 13.5 / 3

=> [tex]\frac{13.5}{3}[/tex]

Answer:this is stupid

Step-by-step explanation:who the hell does that

Answer:

The Quotient Property.

Step-by-step explanation:

Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.

You aren't multiplying anything, so you wouldn't use the Product Property.

You are not messing around with powers, so you wouldn't use the Power Property.

And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.

Hope this helps!

Answer:

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Answer:

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]

This is further simplified to

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]

Combine to form a single fraction

[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]

Multiply numerator

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

The expression can not be further simplified

Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Answer:

c

Step-by-step explanation:

x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.

Hope this helped other than the guy above lol

Answer:

  21h miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

__

We are given that ...

  biking time = h

  walking time = 2h

  running time = (1/4)(2h) = h/2

The total distance traveled is ...

  total distance = biking distance + walking distance + running distance

     = (10)(h) +(3)(2h) +(10)(h/2)

     = 10h + 6h + 5h

  total distance = 21h . . . miles

Answer:

21h miles

Step-by-step explanation:

The appropriate relation is ...

 distance = speed · time

__

We are given that ...

 biking time = h

 walking time = 2h

 running time = (1/4)(2h) = h/2

The total distance traveled is ...

 total distance = biking distance + walking distance + running distance

    = (10)(h) +(3)(2h) +(10)(h/2)

    = 10h + 6h + 5h

 total distance = 21h . . . miles:

Answer:

mean =sum of all data values

total number of data

13+91+44+68+54+16+88+74

8

448

8

=56

therefore the mean is 56

Answer: 51

Step-by-step explanation:

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!

power of a quotient

edge 2021

The law used to simplify the expression is quotient of powers.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 3¹⁰ / 3⁴, we need to determine the law used to simply the expression,

3¹⁰ / 3⁴

For this case we have an expression formed by a division of powers of the same base in which we must apply a law to simplify said expression.

By the definition we have the property of the power quotient of the same base set:

xᵃ / xᵇ = x⁽ᵃ⁻ᵇ⁾

So, using the same,

3¹⁰ / 3⁴ = 3⁽¹⁰⁻⁴⁾ = 3⁶

Thus, to simplify the expression we must use the property of the power quotient of the same base.

Hence, the law used to simplify the expression is quotient of powers.

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Question

Points A, B and C are all on the

circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°

Work out the size of angle x

Answer:

62°

Step-by-step explanation:

To solve for the above question, we would be using circle theorems.

Step 1

Angle OBD = 90° This is because a radius and a tangent meet at 90°

Step 2

The sum of Angles in a triangle = 180°

180° = Angle OBD + Angle BDO + Angle BOD

180° = 90° + 31° + Angle BOD

Angle BOD = 180° - (90° + 31°)

= 180° - 121°

Angle BOD = 59°

Step 3

Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°

Step 4

The sum of angles of a straight line = 180°

Angle BOD, Angle AOD and Angle x are angles on a straight line

Hence,

180° = Angle BOD + Angle AOD + Angle x

180° = 59° + 59° + x

x = 180° - ( 59 + 59)°

x = 180° - 118°

x = 62°

Therefore Angle x = 62°

Answer:

The type of sampling method used is:

Step-by-step explanation:

A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.

Answer:

B. simple random sampling

Step-by-step explanation:

right on edge

Answer:

a) half life is 3h 17 minutes

b) function of residue drug after t hours with initial quantity = 500 mg

        f(t) = 500 (0.81^t)

c) drug left in patient's system after 24 hours

   = 0.00 grams (to the hundredth of a gram.

Step-by-step explanation:

Given:

Drug initial active weight, A = 500 mg

Residue active weight, f(t) = A 0.81^t

t = time in hours.

a) half life

Half life is T, such that f(T) = 0.5A =>

0.5A = A(0.81^t)

0.81^t = 0.5

t*log(0.81) = log(0.5)

t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours

= 3 h 17.36 minutes

b) Equation of function of residue drug as a function of time t in hours

A=500 mg

f(t) = A(0.81^t)    substitute A = 500 mg

= 500(0.81^t)  mg

c) weight of residue drug after 24 hours to the hundredth of a gram.

t=24 hours

A=500

f(t) = 500(0.81^t)    substitute t=24 hours

= 500(0.81^24)

= 3.181 mg

= 0.003181 g

Answer:

1. 31.14

2. 46

Step-by-step explanation:

1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.

2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.

Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.

Answer:

9) 34.14

10) 46

Step-by-step explanation:

Answer:

the answer is b= -x+11

Answer:b

Step-by-step explanation:

Answer:

D. The coefficient of the x^2-term must be positive.

Step-by-step explanation:

A. The coefficient of the x2-term can't be zero.

B. There can be no term whose degree is higher than 2.

C. One side of the equation must be zero.

D. The coefficient of the x2-term must be positive.

Quadratic equation is given as:

y=ax^2+bx+c

To use the quadratic formula,we have

ax^2+by+c=0

Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0

There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2

One side of the equation must be 0, that is ax^2+by+c=0

Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a

Answer:

Approximately 55 students

Step-by-step explanation:

13% of 420 is 54.6 which you can then round up to 55

Hope this helped!

Answer:

55 students

Step-by-step explanation:

Take the percent and multiply by the number of students

13% * 420

.13 * 420

54.6

Rounding up

55 students

Answer:

y=5x+6

Step-by-step explanation:

Please see attached

Answer:

True

Step-by-step explanation:

For every kilogram, there are 1000 grams

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]

Step-by-step explanation:

Hello, I just took the exam got the answer correct

Answer:

16

Step-by-step explanation:

[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]

Answer:

Step-by-step explanation:

a² + 2ab +b² = (a+ b)²

w² - 8w + _?___

a = w

2ab = -8w

2*w*b = -8w

b = -8w/2w

b = 4

8w = 2 * 4*w

w² - 8w + 4² =w² -8w + 16

Answer:

12.6 hp

Step-by-step explanation:

output of motor = 85.4% of input of motor.

Given that motor delivers 10.75 hp, it means output of motor is 10.75hp

Using both the given conditions

10.75 = 85.4% of input of motor

=> 10.75 = 85.4/100  * input of motor

=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.

Input of motor rounded to 1 decimal place = 12.6 hp

Answer:

No it’s not a translation

Step-by-step explanation:

No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.

Answer:

Permuation; 210 possibilites

Step-by-step explanation:

With permutations we care about the order of the elements, whereas with combinations we don’t. For this question order matters, because you have two different positions you want to fill (captain, and co-captain).

This would be written as 15p2

To find the number of possibilities we want to use the permuation equation.

(,)=!(−)!

P=permutation

n= the set or population (15 soccer players)

r= subset (1 captain and 1 co-captain, total of 2)

(,)=(15,2)

=15!(15−2)!

= 210

If u are confused about !(factorial) in the equation here is a quick explanation

Many calculators have a factorial key (look for the ! symbol). This function of the calculator will automate the multiplications, but if you do not have a calculator that can compute factorials you just have to go like this

1! = 1

2! = 2 x 1 = 2

3! = 3 x 2 x 1 = 6

4! = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

etc

Hope this helps!!

The number of possibilities in choosing captain and co-captain are 210 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, a team of 15 soccer players needs to choose a captain and a co-captain.

Number of captains can be choose from 15 players.

Number of co-captains can be choose from 15-1=14 players.

So, the number of possibilities= 15×14

= 210 ways

Therefore, the number of possibilities in choosing captain and co-captain are 210 ways.

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Answer:

Step-by-step explanation:

x=✓25*9

x=✓5^2*3^2

x=5*3

x=15

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.