HELPPP HURRYYYYYY Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?

Answer:

[tex]\boxed{17.156}[/tex]

Step-by-step explanation:

A rational number can be written in the form p/q, where p and q are whole integers.

[tex]\sqrt{15} \approx 3.87298334621...\neq \frac{p}{q}[/tex]

[tex]2.6457513110... \neq \frac{p}{q}[/tex]

[tex]17.156=\frac{4289}{250}[/tex]

[tex]\sqrt[3]{85} \approx 4.39682967216... \neq \frac{p}{q}[/tex]

17.156 is a rational number.

Answer:

The width is 4 inches

Step-by-step explanation:

Represent the length and width by L and W respectively.  Then L = W + 1.

According to the Pythagorean Theorem, the diagonal length is

D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.

Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.

Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0.  Then W - 4 = 0, and W (the width) is 4.  Then L = 5.

The width is 4 inches.

Answer:

[tex]\boxed{\sf \ \ \ x=\dfrac{47}{24} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

f(x)=5x-12

we need to find x so that

[tex]f^{-1}(x)=f(x+1)[/tex]

so first of all we can write

[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=5f^{-1}(x)-12\\\\<=>5f^{-1}(x)=x+12\\\\<=>f^{-1}(x)=\dfrac{x+12}{5}[/tex]

and f(x+1) = 5(x+1) - 12 = 5x + 5 -12 = 5x - 7

then solving

[tex]f^{-1}(x)=f(x+1)[/tex]

is equivalent to

[tex]\dfrac{x+12}{5}=5x-7 \ multiply \ by \ 5 \\\\<=> x+12 = 5(5x-7)=25x-35\\<=> 25x-x=12+35\\\\<=>24x=47\\\\<=>x=\dfrac{47}{24}[/tex]

Hope this helps

Answer:

Step-by-step explanation:

let f(x)=y

y=5x-12

flip x and y

x=5y-12

5y=x+12

[tex]y=\frac{x+12}{5} \\or \\f^{-1}(x)=\frac{x+12}{5} \\f(x+1)=5(x+1)-12=5x-7\\\frac{x+12}{5} =5x-7\\x+12=25x-35\\25~x-x=12+35\\24 x=47\\x=\frac{47}{24}[/tex]

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) =  2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) =  2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) =  2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

Answer:

g(x)=2log5(x+4)−8

Step-by-step explanation:

Answer:

bd=24

Step-by-step explanation:

I believe you would have to set up a proportion. 32/19.2=15.0/x. cross multiply 19.2 and 15 to get 288. then divide by 32 to get qd=9. then add qd and bq to get 24.

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer:

( x - 3 )( x + 9 )

Step-by-step explanation:

The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.

x² + 6x - 27 - Break the expression into groups,

( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression "  9x - 27. "

x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.

Factored Expression: ( x - 3 )( x + 9 )

Answer:

The cost of the binder is 12.96

Step-by-step explanation:

Answer:

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]  and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]  and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]

So,

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]

[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

In the graph 5 points are plotted. So, the relation is  

[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]

So,

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]

[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

Answer:

440 blues

Step-by-step explanation:

9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total

P( blue) = 11/25

To find out how many blue cubes are expected, take the probability and multiply by the number of draws

11/25 * 1000 draws

440 blues

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

[tex]|6| = -(6)\\6 \neq -6[/tex]

So this positive number doesn't work, let's just test with another one.

[tex]|9| = -(9)\\9 \neq -9[/tex]

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

[tex]|0| = -0\\0 = 0[/tex]

So 0 works.

Let's try a few negative numbers now.

[tex]|-5| = -(-5)\\5 = 5[/tex]

So yes, this does work. Let's try one more negative number.

[tex]|-120| = -(-120)\\120 = 120[/tex]

This works. So, every negative number and 0 work with this equation.

Hope this helped!

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

Answer:

x = y+7

x = y -1

Step-by-step explanation:

Variable x is 7 more than variable y

is means equals

x = y+7

Variable x is also 1 less than y

x = y -1

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]

Also

[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

I think you mean [tex]210x^6y^4[/tex]

We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].

For [tex]k=5[/tex]

[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]

For [tex]k=6[/tex]

[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]

Answer:

The correct answer is D: LL ( Leg-Leg Congruence)

Step-by-step explanation:

Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.

So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.

Answer:

The answer is LL

Step-by-step explanation:

thats what i got

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

Answer:

policy d

Step-by-step explanation:

he must have health and vision coverage.

this leaves us with option b and option d

when you add the total amount he gets and needs to pay for each of B and D, you'll find that D is more generous.

thus, I think the option he should choose is d

Answer:

(X + Y)/Z = 1

Step-by-step explanation:

Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have

Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes

Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;

Z = 1/2*5*5 = 12.5 unit²

Y = 1/2*4*4 = 8 unit²

X = 1/2*3*3 = 4.5 unit²

W = 1/2*4*3 = 6 unit²

(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.

Answer:

5 = a

Step-by-step explanation:

Use the model y - k = a(x - h)^2, where (h, k) represents the vertex.  Here we have:

y + 2 = a(x - 3)^2

Now substitute 4 for x and 3 for y:  

3 + 2 = a(4 - 1)^2, or     5 = a

Answer:

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

Answer: i think the answer is 1.5

Step-by-step explanation:

Answer:

[tex]P(At\ least\ 1) = 0.985[/tex]

Step-by-step explanation:

Given

Proportion = 55%

Required

Probability that at least one out of 7 selected finds a job

Let the proportion of students that finds job be represented with p

[tex]p = 55\%[/tex]

Convert to decimal

[tex]p = 0.55[/tex]

Let the proportion of students that do not find job be represented with q

Such that;

[tex]p + q = 1[/tex]

Make q the subject of formula

[tex]q = 1 - p[/tex]

[tex]q = 1 - 0.55[/tex]

[tex]q = 0.45[/tex]

In probability; opposite probabilities add up to 1;

In this case;

Probability of none getting a job + Probability of at least 1 getting a job = 1

Represent Probability of none getting a job with P(none)

Represent Probability of at least 1 getting a job with P(At least 1)

So;

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Solving for the probability of none getting a job using binomial expansion

[tex](p + q)^n = ^nC_0p^nq^0 + ^nC_1p^{n-1}q^1 +.....+^nC_np^0q^n[/tex]

Where [tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] and n = 7; i.e. total number of graduates

For none to get a job, means 0 graduate got a job;

So, we set r to 0 (r = 0)

The probability becomes

[tex]P(none) = ^nC_0p^nq^0[/tex]

Substitute 7 for n

[tex]P(none) = \frac{7!}{(7-0)!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7!0!} * p^7 * q^0[/tex]

[tex]P(none) = \frac{7!}{7! * 1} * p^7 * q^0[/tex]

[tex]P(none) = 1 * p^7 * q^0[/tex]

Substitute [tex]p = 0.55[/tex] and [tex]q = 0.45[/tex]

[tex]P(none) = 1 * 0.55^7 * 0,45^0[/tex]

[tex]P(none) = 0.01522435234[/tex]

Recall that

[tex]P(none) + P(At\ least\ 1) = 1[/tex]

Substitute [tex]P(none) = 0.01522435234[/tex]

[tex]0.01522435234+ P(At\ least\ 1) = 1[/tex]

Make P(At least 1) the subject of formula

[tex]P(At\ least\ 1) = 1 - 0.01522435234[/tex]

[tex]P(At\ least\ 1) = 0.98477564766[/tex]

[tex]P(At\ least\ 1) = 0.985[/tex] (Approximated)

The car will travel 2858meters.

Speed is the rate of change of distance.

Analysis:

speed of car = 41m/s

Energy consumption rate of engine = 756 joules/second

Time taken to consume 52700 joules = 52700/756.

If it travels at 41m/s for 52700/756 seconds, then the distance covered = 41 x 52700/756 = 2858 meters.

Learn more about speed: brainly.com/question/4931057

#SPJ1

Answer:

2900

Step-by-step explanation:

.

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

Answer:

x=110.6

Step-by-step explanation:

sine = opposite/hypotenuse

sin(19) = 36/x

Since we're trying to find x, you have to isolate it.

x = 36/sin(19)

Plug 36/sin(19) into a calculator and you will get 110.5759255

The question tells you to round to the nearest tenth so the answer is 110.6

Answer:

2x-6

Step-by-step explanation:

g[f(x)]

g(3-x)

-2x(3-x)

2[tex]x^{2}[/tex]-6x

2x-6