distance is the number of units between two integers use number line to find the distance between each pair of integers

Step-by-step explanation:

From the given gummi bear, the chance that Adam is selected for any draw is 1/3 as well as the chance he is not selected at any draw is 2/3.

a). The probability of Adam getting exactly three gummi bears = P(Adam gets selected at 3 draws and not selected at the remaining 9 draws)

= [tex]$ (\frac{1}{3})^3 (\frac{2}{3})^9 = \frac{2^9}{3^{12}} $[/tex]

Now, the 3 draws where Adam gets selected can be any 3 out of 12 draws in [tex]$ {\overset{12}C}_3 $[/tex] = 220

Thus, probability of Adam getting three gummi bears = [tex]$ 220 \times \frac{2^9}{3^{12}} $[/tex]

                                                                                                = 0.21186

b). Probability that Adam will get the three gummi bears given each person will received at the most 1 gummi bear

= P(of the remaining 9 draws after assigning one gummi bear to each one, Adam gets selected at 2 draws and not selected at 7 draws) = [tex]$ {\overset{9}C}_2 (\frac{1}{3})^2 (\frac{2}{3})^7 $[/tex]

                                                                                               = 0.23411

c). Let X = Number of the gummi bears which Adam will get. Then, X = number of draws out of 12 draws Adam gets selected and X ~ B(12, 1/3). So,  Adam will get gummi bears= mean of B(12, 1/3) = 12 x (1/3) = 4

d). Let Y = Number of the gummi bears that Adam will get, given each person will received at the most 1 gummi bear Then, Y = number of draws Adam gets selected in the remaining 9 draws and Y ~ B(9, 1/3). So, the expected number of bears that Adam gets given each person received at least 1 gummi bear

= 1 + mean of B(9, 1/3) = 4

e). When every one gets atleast one gummi bear, the new sample size will be 9 and so we can say that there is a reduction in variance.

Answer:

500

Step-by-step explanation:

20% of x = 100

Write 20% as a decimal - - > 0.2(x) = 100

Isolate and solve for x - - > x = 100/0.2

Therefore, x = 500

Answer:

500

Step-by-step explanation:

Let the no. be x

20% of x = [tex]\frac{20}{100} x[/tex]

And ,

[tex]\frac{20}{100} x = 100\\=> 20x = 10000\\ => x = \frac{10000}{20} = 500[/tex]

Answer:

C

Step-by-step explanation:

Everything else is equivalent.

Hope this helps!

Answer:

C. 7.5

Step-by-step explanation:

60/80 = 3/4 = 75% = 0.75

Everything is equal except for 7.5 because 7.5 = 750%

Hope This Helps :)

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Answer:

x=19

Step-by-step explanation:

Answer:

88°

Step-by-step explanation:

Complementary angles have a sum of 90°, just do 90 - 2 and there's your answer.

To find the y-intercept, let x = 0.

0 - 3y = -6

-3y = -6

y = 2

The y-intercept of the equation is the point (0, 2).

Answer:

2

Step-by-step explanation:

Solve the equation for y. First subtract x from both sides then divide by -3. The result is y=1/3x+2 with the number "2" representing the y-intercept.

Answer:

9y+3

Step-by-step explanation:

you add all the common numbers and you end up with:

9y^6+3+y^-5

then you put the y^-5 under the other numbers and make it positive so it becomes:

9y^6+3/y^5, then you subtract the exponents of y: 6-5, so that cancels out the y on the bottom making it:

9y+3

Answer:

width=3

Step-by-step explanation:

area=length X width

length=4 X width

=>area=4 X width X width

=>area=(2 X width)^2

=>36=(2 X width)^2

=>6=2 X width

=>width=3

the area of a rectangle is length times width

A = L times W

A = 26. so 36 = L times W

The length is 4 times the width

L = 4W

Thus, we can switch L to 4W in the area equation

36 = 4W ×W = 4W²

36 ÷ 4

=√9

=3cm

Answer:

Step-by-step explanation:

Initial Velocity of projection = 89ft/sec

height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0

A) time the projectile will reach a height of 100 ft

s=-16t^2 + v0t

v0 = 89ft/sec

s = 100ft

100 = - 16t² + 89t

-16t² + 89t - 100 = 0

Using the online quadratic equation solver;

t = 4s or t = 1.5625

Answer:

The Answer is C

Step-by-step explanation:

22+6= 28

4(4)+16-4=28

Thus, the answer is C, X=4.

Answer:

C. x=4

Step-by-step explanation:

4x-x=22+6-16

3x=12

x=12÷3

x=4

Answer:

33[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the area of the large figure by multiplying the length and the width (7[tex]\frac{1}{4}[/tex]*6). Then, calculate the area of the smaller figure (5*3[tex]\frac{2}{3}[/tex]). Finally subtract  the area of the smaller figure from the area of the larger figure. ((7[tex]\frac{1}{4}[/tex]*6)-(5*3[tex]\frac{2}{3}[/tex])

Hope this helps!

Answer:

Step-by-step explanation:

14.5845842 518.5874 funny

Answer:

Step-by-step explanation:

Answer:

x = 7/3

Step-by-step explanation:

First, combine like terms:

7x + 2x - 2 + 14 = 33

(7x + 2x) + (14 - 2) = 33

9x + 12 = 33

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

9x  + 12 (-12) =  33 (-12)

9x = 33 - 12

9x = 21

Next, divide 9 from both sides:

(9x)/9 = (21)/9

Simplify. Divide common factors:

x = (21/9)/(3/3) = 7/3

x = 7/3

Answer:

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT = [tex]\dfrac{1}{2}(Y+1)[/tex]

Afterward, if we get H, then we waste two times plus the probability of this event [tex]\dfrac{1}{4}[/tex].

Therefore, we have : [tex]\dfrac{1}{4}(Y+2)[/tex]

Afterward, if we get H, then we waste three times plus the probability of this event [tex]\dfrac{1}{8}[/tex].

Therefore, we have : [tex]\dfrac{1}{8}(Y+3)[/tex]

If we got T at the third time, then;

T = [tex]\dfrac{1}{8}(3)[/tex]

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

[tex]= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)[/tex]

= 14

Answer:

Step-by-step explanation:

The answer is A

Answer: She attended to 7 weekday games.

Step-by-step explanation:

Let's denote our variables as:

Wd = number of weekday games that she attended.

We = number of weekend games that she attended.

We know that in total, she attended to 23 games, so we have:

Wd + We = 23.

"If  Ariel attended nine more weekend games than weekday games" can be written as:

We = Wd + 9.

Then we have the system of equations:

Wd + We = 23.

We = Wd + 9.

The first step would be to replace the second equation into the first one, as:

Wd + We = 23.

Wd + (Wd + 9) = 23

Now we can solve this for Wd.

2*Wd + 9 = 23

2*Wd = 23 - 9 = 14

Wd = 14/2 = 7

She attended to 7 weekday games.

And:

We + 7 = 23

We = 23 - 7 = 16

She attended at 16 weekend games.

Answer:

96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

95.85≅96, because 8>5.

Answer:

Domain: -12, -10, 10, 12

Range: -5, 5

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

Answer:

it was 3 hours

Step-by-step explanation:

the thing said so

Answer:

A= 29

B=34

C=117

Step-by-step explanation:

A triangle has three sides and a triangle always adds up to be 180

A + B + C = 180

B = A + 5

C = 4A + 1

Plug in.

A + A + 5 + 4A + 1 = 180

6A + 6 = 180

6A = 174

A = 29

Now since you found A, find the other two by plugging A in!

C = 4(29) + 1

C = 117

Plug in the B equation

B = 29 + 5

B=34

Check your answers

29 + 117 + 34 = 180

Answer:

2&3

Step-by-step explanation:

2+3=5 or 3+2=5

You can continue on but you would need to use one and these are the two that are greater than 1 but make up 5.

The values of x for which the result of 5 x be greater than 1 would be 2 and 3.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the values of x for which the result of 5 x be greater than 1

WE can have that as;

2+3=5

or

3+2=5

Also we can continue on but we would need to use one and these are the two that are greater than 1 but make up 5.

Therefore, the values of x for which the result of 5 x be greater than 1 would be 2 and 3.

Learn more about the unitary method;

https://brainly.com/question/23423168

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Answer:

A. positive -positive = positive

Answer:

See who studies and who doesnt then compare

Step-by-step explanation:

See who studies and who doesn't

take the assignment

ask for the score of the people who did and for who didn't

collect the data and organize it

Answer:

x = -10 ; y = -40

Step-by-step explanation:

Note:

y = 4x.

Plug in 4x for y in the first equation:

x + y = -50

x + (4x) = -50

Solve for x. First, simplify, then isolate the variable, x.

x + 4x = -50

5x = -50

Divide 5 from both sides of the equation.

(5x)/5 = (-50)/5

x  = -50/5

x = -10

Plug in -10 for x in one of the equations:

y = 4x

y = 4(-10)

y = -40

x = -10 ; y = -40 is your answer.

~

Answer:

1,2,5

Step-by-step explanation:

The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1 so options (A),(B), and (E) will be correct.

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

The hint which is present in a given pattern hides in the pattern only.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

Another example is 2,4,16,256 in this pattern each term is the square of the previous term and this will become its specific pattern.

Given the two patterns.

In the first pattern, each term become by adding 5 so option (A) is correct.

In the second pattern, each term become by adding 10 so option (B) is correct.

The term in the second pattern becomes by multiplying 2 in pattern 1

For example 5× 2 = 10 and 10 × 2 = 20 so option (E) will be correct.

Hence "The first pattern has a difference of 5 while the second is 10 and become by multiplying 2 in pattern 1".

For more information about the pattern,

brainly.com/question/14013716

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Answer:

My answer to the question is 24.