A five-card hand is dealt at random from a standard deck. What is the probability that the hand contains exactly two face cards?

Answer:

  t = x +4.75

Step-by-step explanation:

You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).

The slope of the function can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00

The y-intercept of the function can be found from ...

  b = y -mx

  b = 8.75 -(1.00)(4) = 4.75

The slope-intercept equation is of the form ...

  y = mx +b

For m=1 and b=4.75, and using t instead of y, we have ...

  t = x +4.75 . . . . linear function rule

Answer:

The answer is:

x=90  or x=1/90

Step-by-step explanation:

The correlation values which represents a perfect linear relationship between x and y are:

b. 1 and d. -1

A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.

The appropriate choices are :

 b.  -1

 d.  1

A perfect linear relationship (r=-1 or r=1) states that a linear function of one variable can perfectly describe the other.

A statistical word used to express a straight-line relationship between two variables is a linear relationship (or linear association). Graphs and mathematical equations of the form y = mx + b can both be used to represent linear relationships.

Hence we get the required answer.

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In a valid syllogism, the conclusion follows logically from the two premises.

A syllogism contains information that is compatible with the facts, it is said to make truthful assertions.  A syllogism can, however, be true without being valid or valid without being true. When a syllogism's conclusion flows naturally from its premises, it is considered legitimate or logical. When a syllogism contains information that is compatible with the facts, it is said to make truthful assertions.

Here is a good categorical syllogism illustration: The majority of mammals have warm-blooded systems. Minor: Black dogs are all animals. Consequently, all black dogs have heated blood.

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The measure of the angle HBG found using the trigonometric ratio for cosines is about 27.266°

The trigonometric ratios is the set of relationships between the interior angles of a right triangle and the ratios of the lengths of two of the sides of the right triangle.

The measure of the size of the angle HBG, can be obtained from the specified lengths of the sides of the triangle ΔHBG and the trigonometric ratios as follows;

Length of BH = 27

Length of BG = 24

In the plane ABGH, the side BH is perpendicular to the side GH, therefore;

ΔHBG is a right triangle, where;

The hypotenuse side = BH

BG = The leg of the right triangle that is the adjacent side to the angle HBG.

The trigonometric ratios of the cosine of an angle is the ratio of the adjacent side to the angle to the hypotenuse of the right triangle.

[tex]cos(\theta) = \dfrac{Adjacent}{Hypotenuse}[/tex]

Therefore;

[tex]cos(\angle HBG) = \dfrac{24}{27}[/tex]

[tex]\angle HBG = arcos\left(\dfrac{24}{27}\right) \approx 27.266^{\circ}[/tex]

∠HBG ≈ 27.266°

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When the scale factor is greater than 1, the dilation is an enlargement.

We have to explain, what happens when you apply a scale factor greater than 1.

The pre-image and image have the same shape after dilatation, but they are not the same size.

The figure is the same from every perspective. The midpoints of the figure's sides and the dilated shape's midpoint are both unchanged.  Lines that are parallel and perpendicular to one another in the figure are identical to those in the dilated figure. The pictures stay the same.

When the scale factor is greater than 1, the dilation is an enlargement.

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Answer:

---------------------------

Let the integers be x and y.

Set equations:

Substitute the value of y into the second equation:

Find y:

The graph of the piece-wise function defined in this problem is given by the image shown at the end of the answer.

The function in this problem is classified as a piece-wise function because it has two definitions, given as follows:

To the left of x = 2, the definition is given as follows:

f(x) = -2x - 1.

Which is a decreasing line, which crosses the y-axis at y = -1, and finishes at the point (2,-5).

To the right of x = 2, the definition is given as follows:

f(x) = -x + 4.

Which is a decreasing line also, starting at point (2,2), and crossing the x-axis at x = 4.

The graph combining these two lines is shown at the end of the answer.

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Answer:

Step-by-step explanation:

A = 45 degrees

B = 225 degrees

sin(225) = -√2/2

sin(45) = √2/2

-sin(45) = -√2/2

cos(225) = -√2/2

cos(45) = √2/2

-cos(45) = -√2/2

Answer: i believe the dimension that maximizes the area is 100 yards by 100 yards, which is 10000 square yards

Step-by-step explanation:

The total number of students in the science club will be 50. Then the correct option is C.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

A gathering of 10 science club understudies is on a field trip. That number of understudies addresses 20% of the complete number of understudies in the science club.

The total number of students in the science club will be given as,

⇒ 10 / 0.20

⇒ 50

The total number of students in the science club will be 50. Then the correct option is C.

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Answer:

Step-by-step explanation:

The coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

What is transformation of points?

The reflection is the kind of transformation that takes place whenever a shape's points cross a line. When the points are reflected over a line, the image is on the opposite side of the line from the pre-image and is located at the same distance from the line. The image point is reflected from each point (p, q).

Given:

Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).

First to find the coordinates after applying the transformation  

(x, y) ⟶ (–x, y).

So,

A(-2, 0) ⟶ A'(2, 0)

B(0, 4) ⟶ B'(0, 4)

C(4, 6) ⟶ C'(-4, 6)

D(2, 2) ⟶ D'(-2, 2)

Now applying the transformation (x, y) ⟶ (x, –y)

A'(2, 0) ⟶ A"(2, 0)

B'(0, 4) ⟶ B"(0, -4)

C'(-4, 6) ⟶ C"(-4, -6)

D'(-2, 2) ⟶ D"(-2, -2)

Hence, the coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

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Answer: The answer is C

Step-by-step explanation: If y plus 1 is 2 then y is one which is the difference between the second number of the dots on the graph

Answer:

[tex]y-1=\frac{1}{2} (x+1)[/tex]

Step-by-step explanation:

Point slope formula:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

Find the slope using

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\m = \frac{2-1}{1--1} \\m = \frac{1}{2}[/tex]

Plug the slope and points into the point slope formula

[tex]y+1=\frac{1}{2} (x-1)[/tex]

Answer:

B. $33

Step-by-step explanation:

First take off the initial 45% from 80 by multiplying it by .55

80x.55= 44

Then, take off the other 25% by multiplying the resulting 44 by .75

44x.75=33

Answer:

Tom is 164 years old and Bob is 3*164-82=246 years old.

Step-by-step explanation:

Let X be Tom's age.

Bob's age is 3X-82.

The difference in their ages is X-(3X-82)=2(3X-82)

Solving for X, we get X=164.

Tom is 164 years old and Bob is 3*164-82=246 years old.

The slope of the line passing through (3, 8) and (-1, 0) will be equal to 2.

Slope of the line is needed for the equation of the line and If we have two points (x₁, y₁) and (x₂, y₂) and we need the slope then the formula of finding the slope between these points is expressed as

m = (y₂ - y₁)/(x₂ - x₁)

where m is the slope between the points, y₂ - y₁ is difference between the y coordinates and x₂ - x₁ is the difference between the x coordinates.

Now the points given are (3, 8) and (1, 0), so the difference between the coordinates is expressed as

y₂ - y₁ = 0 - 8

y₂ - y₁ = -8

and

x₂ - x₁ = 1 - 3

x₂ - x₁ = -4

Now the slope will be equal to

m = -8/-4

m = 2

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True. When we add a whole number to another whole number, the result is always a whole number.

This is called the closure property of addition.

A whole number is a set of all positive integers from 0 to infinity. Also, these numbers in their simplest fractional form will have a denominator of 1. This means no numbers after decimal point.

Example 1 If we add 34 and 67

34 + 67

= 101

Hence 101 is a whole number.

Example 2- If we add 54 and 450

54 + 450

= 504

From the definition, we can say that 504 is a whole number.

This is the closure property.

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Answer:

HE = 6

x = 2

Step-by-step explanation:

You found the right answer for what x was so the next step is to solve for HE using the expression they gave:

HE = 3x

HE = 3(2)

HE = 6

Answer:

war zone/ stumble guys:)

Step-by-step explanation:

Answer:

To prove that FAB is congruent to ECD, we need to show that they have the same size and shape. Since ABCD is a parallelogram and FBED is a parallelogram, we know that opposite sides of these figures are parallel and equal in length. This means that AB is parallel to ED and is equal in length to ED. Similarly, FB is parallel to DC and is equal in length to DC. Therefore, FAB is congruent to ECD because they have the same size and shape.

Another way to prove this is to use the fact that a diagonal of a parallelogram divides the parallelogram into two congruent triangles. In this case, the diagonal AC of the parallelogram ABCD divides it into two congruent triangles, namely triangles ABC and ACD. Similarly, the diagonal BE of the parallelogram FBED divides it into two congruent triangles, namely triangles BEF and BED. Since triangles ABC and BEF are congruent, and triangles ACD and BED are congruent, we can conclude that FAB is congruent to ECD because they are both composed of two congruent triangles.

The greatest common factor of 364, 916895, 378 is 7

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

In this problem, we have the numbers given with combination

A)

¹⁴C₃ = 364

Factors = 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

B) ⁷⁰C₄ = 916895

Factors = 1, 5, 7, 17, 23, 35, 67, 85, 115, 119, 161, 335, 391, 469, 595, 805, 1139, 1541, 1955, 2345, 2737, 5695, 7705, 7973, 10787, 13685, 26197, 39865, 53935, 130985, 183379, 916895

C) ²⁸C₂ = 378

Factors = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

The greatest common factors is 7

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Answer:

2(x+3)=x-4      x = -10

4(5x-2)=2(9x+3)     x = 7

Step-by-step explanation:

2x+6=x-4

Subtract 6 from both sides

2x=x-10

Subtract "x" from both sides

x=-10

20x-8=18x+6

You want to isolate the variable by dividing each side by factors that don't contain the variable
x=7

Answer: X=-10 and X=7

Step-by-step explanation: 2(x+3)=x-4 Distribute 2x+6=x-4 Subtract both sides by 6 SImplify x=-10

4(5x-2)=2(9x+3) Distribute 20x-8=2(9x+3) Add both sides by 8 x=7

It will take to reach their first stop in 5 hours 43 minutes.

How to solve word problems?

Solve word puzzles on a regular basis, teach students how to solve problems, Model or visualise the issue, Make that they specify the question at hand, Take the numbers off, Select the appropriate action for the circumstance.

Speed = Distance/ time

Distance / Speed = Time

= 350 mi / 70 mph

= 5.7142 hours

= 0.7142 hours

≈ 60(0.7142)

≈ 5 hours 43 minutes

Hence, The trip takes 5 hours and 43 minutes to reach their first stop.

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The vertex of angle ABC is equal to point B.

Step by Step explanation :

Given angle is represented by ∠ABC

Therefore, the vertex of the given angle ABC is given point B.

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Answer:

Point slope

(-7, -5)

Equation form

x=-7, y=-5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(-7, -5)

Step-by-step explanation:

y = x + 2

2x - 3y = 1

2x - 3(x + 2) = 1

2x - 3x - 6 = 1

-x - 6 = 1

    +6  +6

----------------

-x + 7

x = -7

y = x + 2

y = -7 + 2

y = -5

(-7, -5)

I hope this helps!

Answer:

The measure of the first side of the triangle is 10 inches. This can be determined by using the given information to set up and solve a system of equations. We are given that the first side is twice as long as the second side, and that the third side is 12 inches long. Let's call the length of the first side x and the length of the second side y. We can then set up the following system of equations:

x = 2y

12 = x + y

We can then solve this system of equations by substituting the first equation into the second equation, which gives us:

12 = 2y + y

We can then solve for y by subtracting 2y from both sides of the equation and dividing both sides by 2, which gives us:

y = 4

We can then substitute this value of y back into the first equation to solve for x, which gives us:

x = 2 * 4

x = 8

Therefore, the measure of the first side of the triangle is 10 inches. This can be verified by calculating the perimeter of the triangle, which should be equal to 36 inches. When we do this, we get:

x + y + 12 = 10 + 4 + 12 = 36

Which confirms that the measure of the first side of the triangle is 10 inches.

Step-by-step explanation:

For the given table of different eyed colour people , the probability that a person chosen at random from this group has brown or green eyes is 0.6036..

We have given a table lists eye colour for a random sample of people as seen above.

Total number of people or possible outcomes

= 222

Total number of people have blue eye colour

= 38

Total number of people have green eye colour

= 13

total number of people have Amber eye colour

= 22

Total number of people have Hazel eye colour

= 28

Total number of people have Brown eye colour

= 121

A person chosen at random from this group.

Probability that the selected person has brown eye Colour , P(B)

= total brown eyed persons /total persons

=> P(B) = 121/222

Probability that the selected person has gren eye Colour , P(G) = total green eyed person/total persons

=> P(G) = 13/222

Now, probability that a person chosen at random from this group has brown or green eyes ,

P(G or B ) = P(G) + P(B)

= 13/222 + 121/222

= 134/222 = 0.6036

Hence, the required probability is 0.6036..

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Complete question:

The above-mentioned table lists the eye colors of a random sample of people. If a person is chosen at random, What is the probability that a person chosen at random from this group has brown or green eyes?

Answer:

D) -5

Step-by-step explanation:

-5 x -5 x -5= -125

Cube root means u multiply a number three times. Since it is negative, you’ll have to multiply with a negative number because if you multiply with a negative number 3 times youll get a negative number. A and C are a result of addition or square root.
Hope that was clear. Ask me any other questions to clarify!

Answer:

D. -5

Step-by-step explanation:

∛-125

= [tex](-125)^{\frac{1}{3} }[/tex]

= [tex]((-5)^{3} )^{\frac{1}{3} }[/tex]

[tex](a^{b} )^{c} = a^{b*c}[/tex]

= -5

Answer:

a. -2

Step-by-step explanation: