a card is drawn at random from a standard deck. that card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. what is the probability that the first card drawn is a seven, the second card drawn is a seven, and the third card drawn is a face card? do not round your intermediate computations. round your final answer to four decimal places.

Answer:

orange line y = 3x + 2

green line y = -x + 4

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

The slope is equal to change in y over change in x and the y intercept is simply the y value of the coordinate where the line passes the y axis.

For the orange line

The line passes the y axis at (0,2)

The y value of that coordinate is 2 which means that the y intercept (or b) is + 2

Looking at the line as y goes up 3 x goes up 1 so slope ( or m ) equals 3 over 1 or just 3

We then plug in the values of m and b into the slope intercept equation

The answer would be y = 3x + 2

For the green line

The line passes the y axis at (0,4)

The y value of that coordinate is 4 which means that the y intercept is 4

Looking at the line, as y goes up 1 x goes down 1 so the slope is equal to 1 over -1 or just -1

We then plug in the values of m and b into the slope intercept equation

the answer would be y = -x + 4

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer:

The answer is "Option B".

Step-by-step explanation:

For several hours Jimmy uses the device within 5 months of intense use, they will have to replace the batteries, that dissipation plot shows Jimmy's following two batteries to increase the use of devices per hour.  It is rechargeable batteries association with the used hours is static since it has always been the same, that's why choice b is correct.

Answer: it is b less than three...

Step-by-step explanation:

To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

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Answer:30

150

Obtuse

Acute

Adjacent

Answer:

30

150

Obtuse

Acute

Adjacent

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

If 36 sandwiches were ordered, if 17 of them are tuna, then 36-17 is 19 sandwiches that weren't tuna

Brainiest would be appreciated

According to the characteristics of ticket sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

In this question we have a word problem, whose information must be translated into algebraic expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.

We need two linear equations, one for the number of people assisting to the theatre and another for the total sales:

x - 4 · y = 0     (1)

6.30 · x + 9.50 · y = 1063.20     (2)

By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.

According to the characteristics of ticket sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

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Answer:

Step-by-step explanation:

unit price=44.28/9

=$4.92

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

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Answer:

A 19.8

Step-by-step explanation:

Answer:

See the attached table.

Step-by-step explanation:

Each row, column, and diagonal all add up to six.

\(\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right]\)

Hope that helps!

Answer:

*

Step-by-step explanation:

9  -5  -4   6

-2   4   3    1

2   0  -1   5

-3    7   8  -6

The total number of social security numbers that are possible are 900,000,000.

In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.

Therefore, the total number of different social security numbers that can be formed is using the combinations,

= 9 × 10⁸

= 900,000,000

So, there are 900,000,000 different possible social security numbers.

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Mean is also known as an average value amoung a set of data points, results, and tests.

Mathematically, mean ( average ) is defined as a weighted sum of data points. This can be expressed in a symbolic form as follows:

Where,

We are given with the following set of data points:

And we have a total of:

We will go ahead and plug in the respective values given into the formula for determining the mean value as follows:

Plug in the respective data points as follows:

Evaluate as follows:

The mean ( average ) value for the given set of data points is:

Answer:

if he can afford 18 dollars for guest you just divide 18 by 3 and you get 6 so isacc can invite 6 people at most to his birthday party

Step-by-step explanation:

Answer:

they will be the same amount at 6 months with a price of 212

Step-by-step explanation:

1. Make an equation for each in y=mx + b form

2. Y= 28x +44 and Y= 31x +26

3. set them equal to each other( 28x + 44 = 31x + 26) and solve for x (x=6)

4. plug x into each equation (28(6) + 44) and (31(6) + 26)

5. you'll get 212 for both which will be the price

\(\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=82.21 \end{cases}\implies 82.21=2\pi r\implies \cfrac{82.21}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{82.21}{2\pi } \right)^2\implies A=\cfrac{82.21^2}{4\pi }\implies A\approx 538.1\)

The swimming pool would need approximately 960 gallons of water to be filled.

To calculate the gallons of water needed to fill the swimming pool, we need to multiply the length, width, depth, and a conversion factor. Assuming the measurements are in feet, we can calculate as follows:

Length: 12 feet

Width: 40 feet

Depth: 3 feet

Conversion factor: 7.48 gallons per cubic foot (the approximate conversion rate for water

First, we calculate the volume of the pool by multiplying the length, width, and depth:

Volume = Length × Width × Depth

Volume = 12 ft × 40 ft × 3 ft

Volume = 1,440 cubic fee

Next, we convert the cubic feet to gallons by multiplying the volume by the conversion factor:

Gallons = Volume × Conversion factor

Gallons = 1,440 ft³ × 7.48 gallons/ft³

Gallons = 10,771.2 gallons

Rounding to the nearest gallon, the swimming pool would require approximately 10,771 gallons of water to fill.

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Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Answer:

7396.29 dollars

Step-by-step explanation:

compound quarterly means 4 times a year

% annually means the rate is divided by 4(year has 4 quarter

formula to find the compound interest:

A=P(1+r)^t , where t is the time

A=P(1+0.05/4)^4

A=4500(1+0.05/4)^40=7396.29

The height of the ramp rise from the ground at its highest end will be;

⇒ 12√3 inch

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Marques wants to use a sheet of fiberboard 36 inches long to create a skateboard ramp with a 30° angle of elevation from the ground.

Now,

Let the height of the ramp rise from the ground at its highest end = h

Here, Marques wants to use a sheet of fiberboard 36 inches long to create a skateboard ramp with a 30° angle of elevation from the ground.

So, We can formulate;

⇒ tan 30° = Opposite/Adjacent

⇒ 1/√3 = h / 36

⇒ h = 36/√3

⇒ h = 12√3 inch

Thus, The height of the ramp rise from the ground at its highest end = 12√3 inches

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Step-by-step explanation:

Let the ages of the 4 brothers three years ago be a, b, c, and d. The sum of their ages three years ago is x:

x = a + b + c + d

In five years, their ages will be a + 8, b + 8, c + 8, and d + 8. The arithmetic mean of their ages in five years will be:

[(a + 8) + (b + 8) + (c + 8) + (d + 8)] / 4

Simplifying:

(a + b + c + d + 32) / 4

We know that a + b + c + d = x (from the given information), so substituting:

(x + 32) / 4

Therefore, the answer is A) X/4 +8.

Answer:

X=4

Step-by-step explanation:

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

Answer:

40% of the balls were basketballs

Step-by-step explanation:

\(\frac{12}{30} = \frac{x}{100}\)

12*100 = 1200

1200/30 = 40

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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