In the popular Texas hold 'em variety of poker, players make their best five-card poker hand by combining the two cards they are dealt with three of five cards available to all players. You read in a book on poker that if you hold a pair (two cards of the same rank) in your hand, the probability of getting four of a kind is 88/1000. Explain what this probability means.

Two or more figures are said to be similar when they have common properties. The value of MP is 18 units.

More than one figure are said to be similar if they have some relatable common properties, either considering their length of sides or measure of their internal angles. But similarity is not the same as congruence.

In the given question, it can be deduced that ΔMNP is similar to ΔQRP. Thus, relating the corresponding sides of the two triangles we have;

[tex]\frac{12}{30}[/tex] = [tex]\frac{5x-2}{11x+1}[/tex]

cross multiply to have

30(5x-2) = 12(11x+1)

150x - 60 = 132x + 12

collect like terms

150x - 132x = 12 + 60

18x = 72

x = 4

So that,

MP = 5x - 2

      = 5(4) - 2

      = 20 -2

MP = 18 units

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Explanation:

Use the distance formula to determine the distance between the two points.

Distance=√(x2−x1)2+(y2−y1)2Distance=(x2-x1)2+(y2-y1)2

Substitute the actual values of the points into the distance formula.

√((−1)−3)2+(3−(−3))2

2√13213

The result can be shown in multiple forms.

Exact Form:

2√13213

Decimal Form:

7.21110255…7.21110253

The correct B. 495.

A group of k elements can be chosen from a group of n elements in  ways.

n = 12

r = 4

Probability

Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic. Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen

nCr = n1 / (n-r)! r1

12C4 = 12! / (12-4)! 4!

12C4 = 12x11x10x9x8! / 8! 4!

12C4 = 11880 / 24

12C4 = 495

The correct B. 495.

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D) none of these choices are correct

Answer:

-2,0

very simple it is so easy

The inequality to describe the number of subscriptions is 25 + 3x ≥ A

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

Earnings per week = $25

Commission = $3 on every subscription

This means that the total earning can be calculated using

Total earnings = Earnings per week + Commission x Number of subscriptions

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

y = 25 + 3x

He hopes to make at least enough money this week to buy a new pair of soccer cleats

This means that

y ≥ Amount

So, we have

25 + 3x ≥ A

Hence, the inequality is 25 + 3x ≥ A

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The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

20%

Step-by-step explanation:

Answer:

m =  10/7

Step-by-step explanation:

8/7 + 2/7 =m

10/7 = m

Answer:  m = 6/7

Step-by-step explanation:

All of the above options a) implement an expansion strategy b)attract capital c)reduce tax burdens d)easy entry into an industry e)take advantage of limited liability ,are correct.

A corporation is generally set up to take advantage of limited liability. This means that the owners of the corporation (the shareholders) are not personally responsible for the debts and obligations of the corporation. The other options you have listed are also potential reasons for setting up a corporation, but they are not the primary purpose of a corporation.

An expansion strategy refers to a company's plan for growth and expansion, and setting up a corporation can be one way to implement this strategy. Attracting capital refers to the process of raising funds for a business, and a corporation may be able to attract more capital because it is a separate legal entity that can issue stocks and bonds. Reducing tax burdens refers to the process of minimizing the amount of taxes a business has to pay, and a corporation may be able to do this because it is taxed as a separate entity. Finally, setting up a corporation can also make it easier for a business to enter an industry because it provides a legal framework for the business and can make it easier to raise capital.

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The formula for the volume of a cone is V = 1/3 π[tex]r^{2}[/tex]h  and the dimensions V = 6.28 [tex]r^{2}[/tex] cubic unit

The area or capacity of a cone is determined by its volume. Cones are three-dimensional shapes.

The volume of a cone =  1/3 π[tex]r^{2}[/tex]h cubic units

Where,

‘r’ is the base radius of the cone

‘l’ is the slant height of a cone

‘h’ is the height  of the cone

A).The formula for the volume of a cone is V = 1/3 π[tex]r^{2}[/tex]h

B).find the dimensions that maximize the volume of the cone.

A cone has a slant height of 6.

V = 1/3 π[tex]r^{2}[/tex]h

V = 1/3 *22/7 * 6 *[tex]r^{2}[/tex]

V = 6.28 [tex]r^{2}[/tex] cubic unit.

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The total cost with sales tax would be $ 96.30

Answer:

ANSWER BELOW

Step-by-step explanation:

Given,

The length of a rectangle =6x

The width of the rectangle=x

84yd=2(6x+x)

84yd=12X+2X

        =6

X=6

6X=6X6=36

Hence the length is 6 and the width is 36

cos(pi) and cos(-pi) are both equal to -1 because cos is an even function.

For an even function, f(x) = f(-x). Even functions are symmetric about the y-axis.

Symmetricity about y-axis means that for same magnitude of x (like -2 and 2 have the same magnitude that is 2) the value of y will be the same.

Hence, in the case of cos(x), if we give any value as x and then give -x we will get the same result like cos(0.5pi) = cos(-0.5pi)

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Answer: -3/4

Step-by-step explanation:

The polynomial 25x² + 36y²  is the sum of the squares.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, 25x² + 36y² which can be written as,

= 5²x² + 6²y².

= (5x)² + (6y)² it is the sum of the squares, The difference of squares would be (5x)² - (6y)².

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Answer:

option c

Step-by-step explanation:

Answer:

[tex]\textsf{b)} \quad \dfrac{(y+3)^2}{25}-\dfrac{(x-1)^2}{15}=1[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Standard equation of vertical hyperbola}\\\\$\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1$\\\\where:\\\phantom{ww}$\bullet$ $(h,k)$ is the center. \\ \phantom{ww}$\bullet$ $(h, k\pm a)$ are the vertices. \\\phantom{ww}$\bullet$ $(h\pm b, k)$ are the co-vertices. \\\phantom{ww}$\bullet$ $(h, k\pm c)$ are the foci where $c^2=a^2-b^2$.\\\end{minipage}}[/tex]

Given:

As the x-values of the given center, vertex and focus are the same, the hyperbola is vertical (opening up and down).

Given the center is (1, -3):

Use the vertices formula (h, k±a) to find a:

[tex]\begin{aligned} (h, k \pm a) = (1, -3 \pm a) &= (1, 2)\\\implies -3 \pm a &= 2\\a &= 5\end{aligned}[/tex]

Use the foci formula (h, k±c) to find c:

[tex]\begin{aligned} (h, k \pm c) = (1, -3 \pm c)&=(1, -3 \pm 2\sqrt{10})\\c &= 2 \sqrt{10}\end{aligned}[/tex]

Use the found values of a and c with Pythagoras Theorem to find b²:

[tex]\begin{aligned}c^2 &=a^2+b^2\\\implies (2 \sqrt{10})^2&=5^2+b^2\\40&=25+b^2\\b^2&=15\end{aligned}[/tex]

Therefore:

Substitute the found values into the hyperbola formula to create an equation of the hyperbola with the given parameters:

[tex]\dfrac{(y+3)^2}{25}-\dfrac{(x-1)^2}{15}=1[/tex]

a. Don't like both burritos and hamburgers.18.54% of participants.

b. Marginal relative frequency of 0.6049.

c. The correlation between enjoying hamburgers and disliking burritos is the strongest of the two variables.

When an is multiplied by 100% then divided by b, the result is the proportion of an amount an over an overall amount b, as in:

P = a/b x 100%

Option a:

38 out of 205 persons like neither; consequently:

P = 38/205 x 100%

P = 18.54%

Burgers and burritos are disliked by 18.54% of poll participants.

Option b:

The proportion expressed as a decimal, or a divided by b, is the relative frequency.

205 - 81 = 124 of a 205 participants enjoy hamburgers, so:

124/205 = 0.0649

All consumers who enjoy hamburgers have a marginal relative frequency of 0.6049.

Option c:

Without taking into account the totals, the table is:

49 - 43

75 - 38

Because of the greater total, the two criteria that are most strongly correlated with each other are preferring hamburgers but not liking burritos.

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The measure of the unknown angles in the circle are

x° = 38°

y° = 90°

z° = 90°

From the question, we are to determine the measure of the unknown angles.

From one of circle theorems, we have that "the angle in a semicircle is a right-angle"

Thus,

y° = 90°

z° = 90°

To determine the measure of x°

Using the theorem,

"The angle subtended by an arc at the center of a circle is twice the angle subtended at the circumference"

Thus,

x° = 2 × 19°

x° = 38°

Hence, x° = 38°, y° = 90°, and z° = 90°

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Answer:

Below

Step-by-step explanation:

Quarterly interest = .01 / 4 = .0025

periods = 4 x 3 yrs = 12

FV = 56500(1 + .0025)^12 = $ 58218 . 50

Answer:

[tex]y = \frac{1}{10}x[/tex]

Step-by-step explanation:

⭐ What is slope-intercept form?

First, we need to find the value of "m" using the slope formula.

⭐ What is the slope formula?

Substitute the two coordinates you are given into the slope formula.

[tex]m = \frac{1-2}{10-20}[/tex]

[tex]m = \frac{-1}{-10}[/tex]

[tex]m = \frac{1}{10}[/tex]

Substitute the value of "m" into the slope-intercept form equation.

[tex]y = \frac{1}{10}x + b[/tex]

Next, we need to find the value of "b". To do so, substitute a coordinate that you are given into the equation and solve for "b".

I am going to use (10,1), but you can also use (20,2).

[tex]1 = \frac{1}{10} (10) + b[/tex]

[tex]1 = 1 + b[/tex]

[tex]0 = b[/tex]

Substitute the value of "b" into the slope-intercept form equation.

[tex]y = \frac{1}{10}x[/tex]

The amount of time required for the person to reach using compound interest 22600 dollar is 13 years

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

We are given that the initial investment done by a person is $9500

And the interest rate is 6.25% semi annually that is twice

And after how much time he will have 22600 dollars

To find that we use compound interest formula

[tex]A=p(1+\frac{r}{n}) ^{nt}[/tex]

Substituting the values we get

[tex]22600= 9500(1+0.03125)^{2t}\\2.37= (1+0.03125)^{2t}\\t= 13 years[/tex]

Hence the time required to reach $22600 is approximately 13 years

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26 points are scored in the fifth game.

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

First four games, a netball team scores an average of 31 points per game.

x/4=31

Let x represents four games

x=124

After the fifth game, the average for the first five games is 30

y/5=30

Let y represents five games

y=150

We need to find the number of points scored in fifth game.

x-y

124-150

26

Hence, 26 points are scored in the fifth game.

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Answer:

these are the prime factors of 84

Total 36 storage locations are allocated by the statement declare [tex]a[4,9][/tex] as integer.

The statement declare [tex]A[4,9][/tex] as integer allocates 4 × 9 = 36 storage locations for the array A. Each storage location is capable of holding a single integer value.

In this statement, the array A is declared with two dimensions, 4 and 9. The first dimension, 4, represents the number of rows in the array, and the second dimension, 9, represents the number of columns. This means that the array A has a total of 4 rows and 9 columns, for a total of 4 × 9 = 36 storage locations.

Here's an example of how the array A might be structured in memory:[tex]A[0,0] \ A[0,1] \ A[0,2] \ A[0,3] \ A[0,4] \ A[0,5] \ A[0,6] \ A[0,7] \ A[0,8]\\A[1,0] \ A[1,1] \ A[1,2] \ A[1,3] \ A[1,4] \ A[1,5] \ A[1,6] \ A[1,7] \ A[1,8]\\A[2,0] \ A[2,1] \ A[2,2] \ A[2,3] \ A[2,4] \ A[2,5] \ A[2,6]\ A[2,7] \ A[2,8]\\A[3,0] \ A[3,1] \ A[3,2] \ A[3,3] \ A[3,4] \ A[3,5] \ A[3,6] \ A[3,7] \ A[3,8][/tex]

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Answer:

book (Y) = 2

magazine (X) = 4

Step-by-step explanation:

4x + Y = 24

y = 2x

The ending balance is $1032.5.

What is simple interest?

Simple interest is an interest rate that is solely calculated on the principal amount or the portion of the principal that is still owed. It does not take compounding into account. Simple interest may be used on a schedule other than annually, such as every month, week, or even every day.

Here, we have

Given: P = $2,500, r = 5.9%, t = 7 years

Convert 5.9% to a decimal

5.9% = 5.9 ÷ 100

 = 0.059

Substitute the values into the simple interest formula,

I = Prt   and we get

I = Prt

= 2500 × 0.059 × 7

= $1032.5

Hence, the ending balance is $1032.5.

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The value of the obtuse angle is 128°

Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°.

The sum of an obtuse angle and an acute angle is 180°

Find attached a diagram

AB = house

AC = ladder

BC = horizontal ground

∠ACD = ∠ABC + ∠BAC ( sum of opposite interior angle is equal to exterior angle)

∠ACD = 90 + 38

∠ACD = 128°

In conclusion, the obtuse angle is 128°

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