Find the probability of being dealt two kings and two fives when playing five card poker from a standard deck of fifty-two playing cards.Express your answer in the correct probability form. Use the dash symbols "/" or "\" for expressing the probability as a fraction.

Answer:

C. √147

Step-by-step explanation:

Set the values of the triangle up in the Pythagorean Theorem.

a² + b² = c²

x² + 7² = 14²

Take 7 and 14 to the power of 2.

x² + 49 = 196

Subtract 49 from both sides.

x² = 147

Take the square root of both sides. There will only be one answer since lengths cannot be negative.

x = √147

Answer:

C

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take square root of both sides )

x = \(\sqrt{147}\)

Answer:

yes

Step-by-step explanation:

Answer:

YES IT IS!!

Step-by-step explanation:

!!

Answer:

x = 2

Step-by-step explanation:

→ Simplify

x × ( 9 ) = 10 + 8

→ Further simplify

9x = 18

→ Divide both sides by 9

x = 2

Answer:

DEF can have possible side lengths of 28, 16, 20.8

Step-by-step explanation:

Triangle Similarity

If the three sides of two triangles have the same proportion, the triangles are similar (SSS theorem).

Triangle ABC has side lengths of 14, 8, and 10.4.

Any other triangle whose side lengths are the same lengths of ABC multiplied by a constant scale factor is similar to ABC.

For example, select scale factor 2. Thus, the triangle of side lengths 2*14=28, 2*8=16, and 2*10.4=20.8 is similar:

DEF can have possible side lengths of 28, 16, 20.8

Any other scale factor will do.

Answer:

4

Step-by-step explanation:

See you add negative 2, to 6 so if you add -2  to 6 you will get 4

Hello!

area

= 2*25 + (20 - 2)*(25-8)

= 50cm² + 306cm²

= 356cm²

Answer:

Step-by-step explanation:

I think it will be

Answer:

After 100 days, the amount of the substance will decrease to half its original value, so Yo/2 = 5 mg. The half-life of a substance is the time it takes for half of it to decay or disappear. So, every 100 days, the amount of the substance will be halved until there is none left.

Question is not clear.

The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8

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

-6x⁵ - 1/8 - x³

To rewrite polynomial in standard form, we order the powers in decreasing order

Using the above as a guide, we have the following:

-6x⁵ - x³ - 1/8

Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8

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Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

should be 5.625

Step-by-step explanation:

\(\frac{9}{1} * \frac{5}{8}\)

---Set up your fractions to be multiplied

\(\frac{(9 * 5)}{(1 * 8)}\)

---Fractions are multiplied straight across

\(\frac{45}{8}\)

---Solve the multiplication problems

\(5\frac{5}{8}\)

---Simplify or change to a mixed number to get the final answer

Hope this helps!

The probability that the first person will be seated at a plastic table is 0.8

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

Plastic tables = 12

Composite tables = 3

Using the above as a guide, we have the following:

Total tables = 12 + 3

Evaluate the sum

Total tables = 15

So, we have the probability to be

P = Plastic tables/Total tables

Substitute the known values in the above equation, so, we have the following representation

P = 12/15

Evaluate

P = 0.8

Hence, the probability that the first person will be seated at a plastic table is 0.8

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The value in the data set varies from 12 by an Average of 4.

The mean of the data set is 12 and the mean absolute deviation is 4.

Option 1: Each value in the data set varies from 12 by exactly 4.

This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.

Option 2: Each value in the data set varies from 12 by an average of 4.

This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.

Option 3: No values in the data set are less than 8 or greater than 16.

This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.

Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.

The  value in the data set varies from 12 by an average of 4.

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This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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Answer:

i hope it helps mapriend

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer:

The percentage of college seniors with "Other" majors is 32%.

Step-by-step explanation:

The total number of college seniors surveyed is, N = 400.

The number of college seniors with "Other" majors is, n = 128.

The percentage of a value of x from N total is given as follows:

\(\text{Percentage of}\ x=\frac{x}{N}\times 100\%\)

Compute the percentage of college seniors with "Other" majors as follows:

\(\text{Others}\%=\frac{n}{N}\times 100\%\)

              \(=\frac{128}{400}\times 100\%\\\\=32\%\)

Thus, the percentage of college seniors with "Other" majors is 32%.

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

The answer indicates that the lines at x = 9 & x = -5 both vertical and have no slope. They can't be parallel as a result.

Parallel in mathematics refers to two bars that never cross one another; picture an equal sign. Comparatively, the word "parallel" denotes similarity or simultaneous occurrence. Three close friends' similar lives might be shown in a tale.

Equal slope lines are parallel. The lines x = 9 & x = -5, on the other hand, are vertical and have no slope. They can't be parallel as a result. In actuality, vertical lines are never parallel to one another; rather, they always form a 90-degree angle (perpendicular).

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Answer:

2.5

Step-by-step explanation:

The radius is half of the diameter. 5 / 2 = 2.5

Answer:

2.5

Step-by-step explanation:

radius = Diameter ÷ 2

We plug the  diameter value that we know

radius = 5 ÷ 2

Then Solve

5 ÷ 2 = 2.5

Done!

Remember diameter divided by two = the radius

Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.

The diameter is the size of the full length which is why it is divided by two in order to form two halves!

Hope This Helps

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

X=32, Y=148

Step-by-step explanation:

X is 32 degrees because it is parallel to that 32 between f and b.

Y is 148 degrees because x and y together make a straight line and a straight line is 180 degrees therefore, 180-32 = 148.

Answer:

C

Step-by-step explanation:

Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

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Answer:

4

Step-by-step explanation: