Two cards are drawn at random from a standard deck without replacement. Which of the following
represents the probability that the two cards drawn are either both kings or both queens?

Answer:

17

Step-by-step explanation:

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

The purpose of truth tables is to represent the possible values of a logical expression or a combination of expressions based on different input values. Truth tables help in determining the output of a particular statement, given a specific set of inputs. They are a vital tool in digital logic design and Boolean algebra.

Number systems, such as binary, relate to truth tables as binary digits (0 and 1) represent the two possible truth values (False and True) in Boolean logic. For example, when working with logical operators like AND, OR, and NOT, the inputs and outputs are represented by binary digits in truth tables.

Set Theory relates to truth tables as both are used to analyze and represent relationships between different elements or values. In set theory, you work with sets, which are collections of elements. The relationships between sets can be represented using Venn diagrams, which can be compared to truth tables in terms of visualizing relationships between elements.

To give an example, consider the logical AND operator:

1. Write down the possible input values: A and B can be either 0 (False) or 1 (True), leading to four possible input combinations.
2. Create a table with columns for each input and one for the output.
3. Fill in the table with the possible input combinations.
4. Determine the output for each combination based on the logical operator (AND).

The truth table for the AND operator would look like this:

| A | B | Output (A AND B) |
|---|---|------------------|
| 0 | 0 |        0         |
| 0 | 1 |        0         |
| 1 | 0 |        0         |
| 1 | 1 |        1         |

In this example, the truth table demonstrates that the AND operator only returns a 1 (True) when both input values A and B are 1 (True).

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Answer:

18.4 kilograms per class.

Step-by-step explanation:

Since each class recycled the same amount, we divide the total (36.8 kilograms) by the number of classes (2). 36.8/2 = 18.4 This means that each class recycled 18.4 kilograms of paper.

Thus, the first procedure has a higher probability of accepting the lot than the second procedure, with a 0.90112 probability versus 0.87909.

The first procedure has a higher probability of accepting the lot. This can be calculated using the Binomial Distribution, which states that the probability of “k successes” in “n trials”, given a probability “p” of success, is given by the equation: \(P(X=k) = (nCr) p^k (1-p)^(n-k)\), where “r” is the number of successes, “n” is the number of trials, and “p” is the probability of success.

For the first procedure, n = 5, p = 0.06, and r = 0 or 1. Plugging these values into the equation, the probability of 0 or 1 successes is 0.90112.

For the second procedure, n = 10, p = 0.06, and r = 0, 1, or 2. Plugging these values into the equation, the probability of 0, 1, or 2 successes is 0.87909.

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Answer:

-6

Step-by-step explanation:

when y is -1 the corresponding x value is -6

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

Answer:

You will have $5,792 in your account by your high school graduation

Step-by-step explanation:

Simple Interest

Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.

We are required to calculate the total money in the account after t=18 years.

First, we calculate the interest:

I = $5,000 * 0.0088 * 18

I = $792

Adding interest to the principal, we have the future balance in the account:

A = $5,000 + $792 = $5,792

You will have $5,792 in your account by your high school graduation

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions

Answer:

Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0

You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.

In the expression 1.5x + 18 = 36.5 - 8 x is 7, hence 4x is 28.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An expression 18 + 1.5x is 8 less than 36.5.

∴ 1.5x + 18 = 36.5 - 8.

1.5x = 36.5 - 8 - 18.

1.5x = 10.5.

x = 10.5/1.5.

x = 7.

Therefore 4x is equal to 4(7) = 28.

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The unknown angle of the right angle triangle is as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.

The sum of angles in a right angle triangle is 180 degrees.  Therefore, let's find the ∠C in the triangle ABC.

Therefore,

180 = ∠A + ∠B + ∠C

m ∠B = y + 40

m ∠C = 3y - 10

m ∠A = 90°

Hence,

180 = 3y - 10 + y + 40 + 90

180 = 4y + 120

180 - 120 = 4y

y = 60 / 4

y = 15

Hence,

m ∠C = 3(15) - 10

m ∠C = 45 - 10

m ∠C = 35 degrees

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Answer:

3

Step-by-step explanation:

cross multiply it by 2 and 3 respectively

Answer:

A≈842.53

:))))

Volume = side³

=> 1664 = side³

=> ³√1664 = side

=> 4 (³√26) = side

=> 4 (26^1/3) = side

Surface area = 6 side²

=> Surface area = 6 × [4 (26^1/3)]²

=> Surface area = 6 × 140.42 [approximately]

=> Surface area = 842.54 [approximately]

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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The complex number with polar coordinates (3, StartFraction 5 pi Over 6 EndFraction) is:

z = 2.598 - 1.5i

What is the complex number?

Complex numbers are the numbers that are expressed in the form of a+ib where, a, and b are real numbers and 'i' is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

This can be found by using the polar form of a complex number, which is:

z = r (cos θ + i sin θ)

where r is the magnitude or modulus of the complex number, θ is the angle in radians, and i is the imaginary unit.

In this case, we have r = 3, and θ = StartFraction 5 pi Over 6 EndFraction. Plugging these values into the equation above gives:

z = 3 (cos (StartFraction 5 pi Over 6 EndFraction) + i sin (StartFraction 5 pi Over 6 EndFraction))

z = 2.598 - 1.5i

we can round the coefficients to the nearest thousandth.

The complex number with polar coordinates (3, StartFraction 5 pi Over 6 EndFraction) is z = 2.598 - 1.5i.

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Answer:

7/3

Step-by-step explanation:

5 + 2 = 7

8 - 5 = 3

7/3

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

m = \(\frac{y_2-y_1}{x_2-x_1}\)

We are given the points  (8,5) & (5,-2).

\(m =\frac{-2-5}{5-8} \\\rule{150}{00.5}\\m =\frac{-2-5}{5-8}\\\\m =\frac{-7}{-3}\\\\\boxed{m = \frac{7}{3}}\)

Hope this helps.

Answer:

you multiply 300 by 5 % and that gives you 15

Step-by-step explanation:

The chisquare critical value at the 0.05 significance level is 3.84.

In order to determine the number of degrees of freedom for the given data in question 31, we need additional information about the specific scenario or dataset. The number of degrees of freedom depends on the nature of the statistical test or analysis being conducted.

Please provide more context or details regarding the data and the statistical test being performed.

Regarding the chi-square critical value at the 0.05 significance level, commonly denoted as α = 0.05, the value from the chi-square critical values table is 3.84. Therefore, the correct answer is 3.84.

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The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

the answer to your question is B

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

125 mi in 2h

Step-by-step explanation:

500/10=50

50 miles per hour

125/2=62.5

62.5 miles per hour

Step 1

Given;

Required; To write in standard form.

Step 2

The answer will be;

Answer:

A= 30, B= 20, C= 50

Step-by-step explanation:

Just took test

Answer:

Step-by-step explanation:

Random sampling , is used by ex-principal Victoria of a south park elementary (400 students) for survey the students concerning the lunchroom menus and food quality.

As given Ex-Principal Victoria assigned numbers to all students and used a table of random numbers to select a sample of 100 for the survey, each and every student has an equal probability of being chosen. Therefore, she used a random sampling technique.

Random sampling is part of a sampling technique in which each sample has an equal chance of being selected. A randomly selected sample is intended to provide an unbiased representation of the entire population. If for some reason the sample is not representative of the population, its deviation is called sample error.

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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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Answer:

y = \(\frac{9}{2}\)\(\sqrt{2}\)

x = 9

Step-by-step explanation:

this triangle is isosceles because the base angles are each 45°

the ratio of sides in a 45-45-90° triangle are 1 : 1 : \(\sqrt{2}\)

so 'y' is going to also be \(\frac{9}{2}\)\(\sqrt{2}\)

'x' will be \(\sqrt{2}\) multiplied by  \(\frac{9}{2}\)\(\sqrt{2}\) which will be:

\(\frac{(9x2)}{2}\) = 9