Need help asap) Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn. ( Questions) A: Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the axis to represent the number of drinks. B: Explain your graph. ( Need Help and Will Mark Brainliest).​

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

(x,y)=(-1.-2)

Step-by-step explanation:

Using the elimination method:

-27x+45y=-63

-35x-45y=125

---------------------

-62x=62-->x=-1

-3*(-1)+5*6=-7-->y=-2

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

63

Step-by-step explanation you just killed my brainmeats

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

Answer:

ya the equation divides y as a function of x

Step-by-step explanation:

Place one point at 3,-6 and the other at 5,-7

It doesn't matter where you place the second point, as long as the slope is -1/2. This means that the line goes one half down for every unit it goes to the right, so it goes down one unit when it goes two units to the right.

Answer:

9/p+6

Step-by-step explanation:

Answer:if you know how to do this your smart and in two years if someone can Answer ill give you a mil in cash swear

Step-by-step explanation:

Answer:

√10/2

Step-by-step explanation:

I took le test

Answer:

20 lbs of sugar per gallon as time goes to infinity

Step-by-step explanation:

Because of the statement ... as time goes to infinity...I am inclined to approach this problem using derivatives and limits

Let the amount of sugar in the tank at any time t(in minutes) be

\(S(t) \;lbs/gal\)

We have \(S(0) = 0\)  since the initial quantum of water has zero sugar

The inflow rate of sugar is given as 3  gal/min and each gallon contains 0.2 lbs of sugar
\therefore The rate of sugar increase in the tank n lbs/gal
= 0.2 lbs /gal \times 3 gal/min

=  0.6 lbs/min

Outflow rate = 3 gal/min
At any time t, the tank contains 100 gal
The amount of sugar at time t = \dfrac{S(t)}{100} lbs/gal

Therefore the outflow rate of sugar = 3 gal/min \times \dfrac{S(t)}{100} lbs/gal

= 0.03S(t) lb/min

The net rate is given by inflow rate - outflow rate

= 0.6 - 0.03S(t)

In calculus terms the net rate =  \(\dfrac{dS(t)}{dt}\)

Therefore
\(\dfrac{dS(t)}{dt} = 0.6 - 0.03S(t)\)

\(\dfrac{dS(t)}{dt} - 0.03S(t) = 0.6\\\\\)    (1)

A trick to solving differential equations of this type is to use the method of integrating factors

In general,  if we have a differential equation of the type
\(\dfrac{dy}{dx} + Py = Q\\\\\)
where P and Q are functions only of x

then the integrating factor is \(e^{\int\ {P} \, dx }\)

which you use to multiply both sides of the differential equation first

In equation (1) above,

y = S(t) which well simply write as S for convenience

Writing S' for \(\dfrac{dS(t)}{dt}\) for convenience we get equation (1) as

\(S' + 0.03S =0.6\)   (2)

From the above we see that P in the generalized differential equation corresponds to 0.03

Therefore the integrating factor is
\(\mbox {\large e^{\int 0.03dt} = e^{0.03t}}\)

Multiply equation (2) throughout by this integrating factor to get

\(\mbox{\large e^{0.03t} S' + 0.03S e^{0.03t} = 0.6 e^{0.03t} }\)

The left side is nothing but the first derivative of \(\mbox{\large (e^{0.03t}S) }\\\\\)
\(= \mbox{\large (e^{0.03t}S)'\\\\}}\)

Integrating both sides we get

\(\mbox{\large e^{0.03t}S = 0.06 \int e^{0.03t}dt}\\\\\)    (3)

\(\textrm{By using the fact that $\int e^{ax} dx = \dfrac{e^{ax}}{a} + C$}:\\\\\mbox{\large \int e^{0.03t}dt} = \dfrac{e^{0.03}}{ 0.03}} + C\\\\\)  

Therefore equation (3) becomes
\(e^{0.03t}S = 0.06 \cdot \dfrac{e^{0.03}}{0.03}} + C\\\\e^{0.03t}S = 0.06 \cdot 33.333 \cdot e^{0.03} + C\\\\e^{0.03t}S = 20 \cdot e^{0.03} + C\\\)

Dividing by \(e^{0.03} \textrm{ (same as multiplying by $e^{-0.03}$) both sides}\):

\(S = 20 + Ce^{-0.03t}\\\\\textrm{Plugging back S(t):}\\\\S(t) = 20 + Ce^{-0.03t}\\\)

We are asked to find the level of sugar content as t ⇒ ∞

At t = 0, S(t) = 0; there is no sugar content

S(0) = 0 = 20 + Ce⁰

0 = 20 + C
C = -20

\(S(t) = 20 -20e^{-0.03t}\\\\\)

As t ==>  ∞
we get

\(\lim _{x\to \infty }S\left(t\right)=\:\lim _{x\to \infty }\left(20\:-\:20e^{-0.03t}\right)=\:\:20\:-\:0\:=\:20\)

Therefore as time goes to infinity the eventual sugar content
= 20 lbs/gallon

Answer:

Mercury, Venus, Earth, Mars, and Uranus

Step-by-step explanation:

Calculate the escape velocity for each planet, using the equation v = √(2gR).

\(\left[\begin{array}{cccc}Planet&R(m)&g(m/s^{2})&v(m/s)\\Mercury&2.43\times10^{6}&3.61&4190\\Venus&6.07\times10^{6}&8.83&10400\\Earth&6.37\times10^{6}&9.80&11200\\Mars&3.38\times10^{6}&3.75&5030\\Jupiter&6.98\times10^{7}&26.0&60200\\Saturn&5.82\times10^{7}&11.2&36100\\Uranus&2.35\times10^{7}&10.5&22200\\Neptune&2.27\times10^{7}&13.3&24600\end{array}\right]\)

The rocket's maximum velocity is double the Earth's escape velocity, or 22,400 m/s.  So the planets the rocket can escape from are Mercury, Venus, Earth, Mars, and Uranus.

Answer:

Give me a sec

Step-by-step explanation:

Using the concepts of domain and range of a function, the correct statement regarding the graph of the function f(x) = -(x + 3)(x - 1) is given by:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

In a graph:

The graph of f(x) = -(x + 3)(x - 1) is given at the end of the answer, hence:

Hence the correct statement is:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

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Answer:

The answer is C

Step-by-step explanation:

We alsreadyknow that 37 and 12 is the 2 given lines.  and  The last line is not 37 but pretty close making C the answer.

Answer:

D) 64 In

Step-by-step explanation:

P=12+37+64

The approximation for ∫₀¹\(e^{cos(x)}\)dx using midpoint rule is 2.345. Option B

The midpoint rule is a numerical method for approximating the definite integral of a function which looks like

1. ∫ f(x) dx  = ᵃΔx {f((x₀+x₁)/2) + f((x₁+x₂)/2) + f((x₂+x₃)/2) + .....+ f((xₙ₋₂+xₙ₋₁)/2 + f((xₙ₋₁+xₙ)/2)

Where Δx = (b-a)/n

f(x) = \(e^{cos(x)}\),

a = 0,

b = 1

n=4

we're dividing the interval [0, 1] into 4 subintervals.

Therefore  Δx = (1-0)/4 = 1/4

Input this a = 0, 1/4, 1/2, 3/4, 1 = b, to the above formula, (1.)

1. a) f((x₀+x₁)/2

= f((0+1/4)/2) = f(1/8)

= \(e^{cos(1/8)}\) =2.697155413902143

1. b) f((x₁+x₂)/2)

=  f((1/4+1/2)/2) = f(3/8)

= \(e^{cos(3/8)}\) = 2.535796076614806

1. c) f((x₂+x₃)/2)

= f((1/2+3/4)/2) = f(5/8)

=  \(e^{cos(5/8)}\) = 2.250074033617969

1. d) f((x₃+x₂)/2)

= f((3/4+1)/2) = f(7/8)

= \(e^{cos(7/8)}\) = 1.898372344355632

We add the values of the 4 subintervals and multiply by 1/4

1/4(2.697155413902143 + 2.535796076614806 + 2.250074033617969 +  1.898372344355632) =  2.345.

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Answer:

length = 30 feet and width = 20 feet

Step-by-step explanation:

Let l is length and b is width of a rectangular yard. The area of a rectangle is given by :

A = lb ..(1)

A rectangular yard has a length that is 10 feet longer than the width.

length, l = 10+b ...(2)

ATQ,

Put the value of l in equation (1),

\((10+b)b=600\\\\10b+b^2=600\\\\b^2+10b-600=0\\\\b^2+30b-20b-600=0\\\\b(b+30)-20(b+30)=0\\\\(b+30)(b-20)=0\\\\b=-30\ \text{feet}\ \text{and}\ b=20\ \text{feet}\)

Width can't be negative. The width is 20 feet.

Put the value of b is equation (2),

l = 10+20

l = 30 feet

Hence, the length and width are 30 feet and 20 feet.

The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

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Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Answer:

You can find the margin of error by using this this formula

\(z \times \frac{σ}{ \sqrt{n} } \)

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

O a=0

Step-by-step explanation:

Answer:

False

Reasoning:

- It's an acute angle, 140 is obtuse

- Angles 6 and 8 are 140 degrees, so 5 can't be

Answer:

False

Step-by-step explanation:

∠ 8=140° (alt. ext.∠)

∠5=180-140 (∠ on a str. line)

    =40

    ≠140

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

The solution is, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

Here,  we have,

given that,

the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325.

we have,

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

we know,

the value of the digit 3 in the number 63,297 = 3000

the value of the digit 3 in the number 60,325 = 300

so, we get,

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Hence, the value of the digit 3 in the number 63,297 compare to the value of the digit of 3 in the number 60,325 is 2700.

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Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6\)

The direction changes when we divide by nagative value

I hope that is useful for you :)

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

Robert can make a maximum of 8 milkshakes with the remaining chocolate syrup.

Converting the mixed number 2 2/5 to an improper fraction: 2 2/5 = 12/5

Subtracting the amount of chocolate syrup used per milkshake from the total amount of chocolate syrup:

12/5 - 1/4 = (48 - 5) / 20 = 43/20

Therefore, Robert has 43/20 cups of chocolate syrup left, which is the maximum amount he can use to make milkshakes.

For maximum number of milkshakes:

(43/20) / (1/4) = (43/20) x (4/1) = 172/20 = 8.6

Since Robert cannot make a fraction of a milkshake, he can make a maximum of 8 milkshakes with the remaining chocolate syrup.

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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