The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 36/36-1 Find 1- Cumulative distribution function. 2- Dr

The volume of a cinder cone volcano will be 110872040 cubic feet.​

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

The volume of the cone (V) = 1/3 πhr²

Given,

Radius of cone (r) = 1100/2 = 550 feet

Height of cone (h) = 350 feet

The volume of a cinder cone volcano = 1/3 πhr²

Substitute the values of h and r,

The volume of a cinder cone volcano = 1/3 × 3.14× (550)² × (350)

The volume of a cinder cone volcano = 110872040 cubic feet.​

Thus, the volume of a cinder cone volcano will be 110872040 cubic feet.​

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The calculated value of the rocket's greatest height is 196 feet

From the question, we have the following parameters that can be used in our computation:

height function,  h(t) =-16t² + 80t + 96

So, we have

h(t) =-16t² + 80t + 96

The maximum value of t is calculated as

t = -b/2a

So, we have

t = -80/(2 * -16)

Evaluate

t = 2.5

The rocket's greatest height is at t = 2.5

So, we have

h(2.5) =-16(2.5)² + 80(2.5) + 96

Evaluate

h(2.5) = 196

Hence, the rocket's greatest height is 196 feet

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Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

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(i) The probability of a randomly selected adult consuming both coffee and soda regularly will be given by: P(A ∩ B) = 0.30.

(ii) The probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is given by: P((A ∪ B)') = 0.25.

What is probability of an event?

The probability of an event refers to the chances of occurrence of an event.

P(E) = Chances of occurrence of an event E =  \(\frac{Number Of Favorable Outcomes Of Event E}{Total Number Of Possible Outcomes}\)

Step-by-step explanation:

Given:

Now let A = Event that an adult consumes coffee

B = Event that an adult consumes carbonated soda.

Then,

(i): Now, we know that:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=> P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

∴ P(A ∩ B) = 0.40 + 0.65 - 0.75 = 0.30

Hence, the probability of a randomly selected adult consuming both coffee and soda regularly is 0.30.

A(ii): Now, we know that:

P((A ∪ B)') = 1 - P(A ∪ B)

∴ P((A ∪ B)') = 1 - 0.75 = 0.25

Hence, the probability of a randomly selected adult not consuming at least one out of coffee and soda regularly is 0.25.

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Answer:16

Step-by-step explanation:

x-\(\sqrt{x}\)=12

x=16

The probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.

a. You can estimate the Hypergeometric Distribution with the Binomial Distribution under the following conditions:
1. The sample size (n) is relatively small compared to the population size (N).
2. The probabilities of success (p) and failure (q) remain approximately constant throughout the sampling process.

In this case, since we're assuming sampling with replacement, identical cars, and independent trials with constant probability, it's appropriate to use the Binomial Distribution.

b. To calculate the probability that the dealership will make a profit if 4 customers enter on Friday, we can use the Binomial Distribution formula:

P(X = k) = (nCk) * (p^k) * (q^(n-k))

Where:
- P(X = k) is the probability of exactly k successes (cars sold)
- nCk is the number of combinations of n items taken k at a time
- p is the probability of success (car sold)
- q is the probability of failure (car not sold)
- n is the number of trials (customers)
- k is the number of successes (cars sold)

Here, n = 4, p = 0.70, and q = 1 - p = 0.30. We need to find the probability of selling at least 4 cars (k ≥ 4) to make a profit:

P(X ≥ 4) = P(X = 4)
P(X = 4) = (4C4) * (0.70^4) * (0.30^0)
P(X = 4) = 1 * (0.2401) * (1)
P(X = 4) = 0.2401

Therefore, the probability that the dealership will make a profit if 4 customers enter on Friday is approximately 24.01%.

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Answer: x= -64

Step-by-step explanation: simplifying both sides of the equation

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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Answer:

2.94

Step-by-step explanation:

I just found 1%

Which is 0.98

then times that by 3 which is 2.94

hope that helps!

The lower limit of the 99% confidence interval for the true population proportion of binge drinkers cannot be determined without additional information.

To calculate the lower limit of the 99% confidence interval for the true population proportion of binge drinkers, we need to know the sample proportion and the sample size. While the information provided states that 2312 out of 5914 randomly selected full-time US college students were classified as binge drinkers, we don't have the specific sample proportion.

Additionally, the margin of error is required to calculate the confidence interval. Without these values or the methodology used to calculate the interval, we cannot determine the lower limit. It is important to note that the confidence interval is influenced by the sample size, sample proportion, and the desired level of confidence. Without more information, we cannot compute the lower limit of the confidence interval.

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Answer:

A=151

B= 29

Step-by-step explanation:

Answer:

Cylinder 1= 150.7m^3, cylinder 2= 301.44m^3

Step-by-step explanation:

Answer:

145 inches

Step-by-step explanation:

Area of the circle = 50 inches

Area of the rectangle = 75 inches

Area of the square = 20 inches

Composite area = Area of the circle + Area of the rectangle + Area of the square

= 50 inches + 75 inches + 20 inches

= 145 inches

Composite area = 145 inches

Answer:

you just count how many numbers there are like -7 there is 2 so it would be -7^2 there is 4 5s so it would be 5^4

Step-by-step explanation:

Answer:

\(-7^2 + 5^4\)

Step-by-step explanation:

Essentially, you are seeing how much of each of the same term there is. Add the amount together, and it will be the exponent.

\((-7) * (-7) = -7^(1 + 1) = -7^2\\5 * 5 * 5 * 5 = 5^(1 + 1 + 1 + 1) = 5^4\)

Combine the two terms together into an expression. Note that you cannot combine them.

\(-7^2 + 5^4\) is your answer.

~

The  function is equivalent to h(x) = 10x² + 9x - 1 is h(x) =(10x-1)(x+1).

A relation is a function if it has only One y-value for each x-value.

The given function is  h(x) = 10x² + 9x - 1

We have to write the expression in factor form.

10x² + 9x - 1

10x² +10x -x- 1

10x(x+1)-(x+1)

(10x-1)(x+1)

So the function is equivalent is h(x) =(10x-1)(x+1)

Hence, the  function is equivalent to h(x) = 10x² + 9x - 1 is h(x) =(10x-1)(x+1).

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Answer:

The zeros of the function will be when f(x) = 0. As 0 = 3x^2 - 7x + 1, you can use the quadratic formula to solve, finding that x = (7 + sqrt(37))/2 or (7 - sqrt(37))/2.

Answer: B D I J M

Step-by-step explanation: you just gotta see if any of the two answers work an if they don’t it’s nethier!

Answer:

Step-by-step explanation:

2 is the Greatest common factor

Given numbers:

30 , 48 , 2

Find:

Greatest common factor

Computation:

By taking LCM of given numbers

30 = 2 × 3 × 5

48 = 2 × 2 × 2 × 2 × 3

2 = 2

From the above LCM taking '2' as common factor.

So,

we say that, 2 is the Greatest common factor

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To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.

Based on the information given, the equations to solve the question will be:

28s + 4a = 262 ....... i

22s + 2a = 191 ....... ii

Multiply equation i by 2

Multiply equation ii by 4

56s + 8a = 524

88s + 8a = 764

Subtract the equations above

32s = 240

s = 240/32 = 7.5

Student's tickets = $7.5

Adult's ticket will be:

22s + 2a = 191 .

22(7.5) + 2a = 191

165 + 2a = 191

2a = 191 - 165

2a = 26

a = 26/2 = 13

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Answer:

200 minutes, cost $44.00

Step-by-step explanation:

x = minutes

14 + .15x = 22 + .11x

.04x = 8

x = 200 minutes

14 + (.15*200)

14 + 30 = 44

22 + (.11*200)

22 + 22 = 44

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

Answer:

x=1 y=4

(1,4)

Step-by-step explanation:

Answer:

the third one if you go clockwise from the upper left; cannot see it's letter but it's directly to the left of graph J

Step-by-step explanation:

The third graph suits the given function , f= 2(5)ˣ .

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and co domain or range. A function is generally denoted by f(x) where x is the input.

In the given images the third graph suits the given function

f= 2(5)ˣ

Therefore Option G is the correct answer.

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Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.