Answer 2,4,6, and 8a and b. show all the work. no links

The probability of selecting two kings, a king and a queen (order does not matter), or two queens is 14/663.

Given that a deck of cards is used, with replacement.

Therefore, the probability of selecting any card is the same for all the cards. Also, we need to find the probability of selecting two kings, a king and a queen (order does not matter), or two queens.

Let us consider each case separately.

Case 1:

Two Kings Two kings can be selected from a deck of cards in C(4, 2) ways.

The total number of ways of selecting two cards is C(52, 2). Hence, the probability of selecting two kings is:

P(King and King) = C(4, 2) / C(52, 2)

                            = (6 x 1) / (52 x 51)

                            = 6 / 1326.

Case 2:

A King and a Queen.

A king and a queen can be selected in 4 x 4 = 16 ways. The total number of ways of selecting two cards is C(52, 2).

Hence, the probability of selecting a king and a queen is:

P(King and Queen) = 16 / C(52, 2)

                                = (16 x 1) / (52 x 51)

                                = 16 / 1326.

Case 3:

Two Queens Two queens can be selected in C(4, 2) ways. The total number of ways of selecting two cards is C(52, 2).

Hence, the probability of selecting two queens is:

P(Queen and Queen) = C(4, 2) / C(52, 2)

                                    = (6 x 1) / (52 x 51)

                                    = 6 / 1326.

Therefore, the probability of selecting two kings, a king and a queen (order does not matter), or two queens is:

P(Two Kings or King and Queen or Two Queens)

= 6 / 1326 + 16 / 1326 + 6 / 1326

= 28 / 1326

= 14 / 663.

Hence, the probability of selecting two kings, a king and a queen (order does not matter), or two queens is 14/663.

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Answer:

Y-intercept is 0

Step-by-step explanation:

The line crosses at 0,0

x intercept is 0

Y intercept is 0

Considering the definition of zeros of a function, the zeros of the function f(t)= (t-5)² - 9 are 2 and 8.

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros of a function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

Considering the function f(t)= (t-5)² - 9, if the zeros of a function are those values ​​of x for which the expression is equal to 0, you get:

(t-5)² - 9= 0

Solving:

(t-5)² = 9

t-5 = √9

t-5= ±3

Then:

t-5= 3

t= 3 +5

t= 8

and

t-5= -3

t= -3 +5

t= 2

Finally, the zeros of the function are 2 and 8.

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The set {a, b, c, d, e, f} has 2⁶ = 64 distinct subsets and 2⁶ - 1 = 63 distinct proper subsets.

A subset is any set of elements taken from a larger set. For example, {a, b} is a subset of {a, b, c}. A proper subset is any subset which does not contain all elements from the original set. For example, {a, b} is a proper subset of {a, b, c}, but {a, b, c} is not a proper subset of {a, b, c}.

To calculate the number of distinct subsets and proper subsets of a given set, we first need to determine the cardinality of the set (i.e. the number of elements it contains). In this case, the set contains 6 elements, so its cardinality is 6.

The number of distinct subsets for a given set is 2ⁿ, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct subsets is 2⁶ = 64.

The number of distinct proper subsets for a given set is 2ⁿ - 1, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct proper subsets is 2⁶ - 1 = 63.

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Answer:

Step-by-step explanation:

Given the data set of 15 where:

As per given we conclude

a) Possible set is:

b) Add number 20, the set will be:

The mean is different as we have now more numbers with different sum:

The median is different now and moves to the right as 20 added to the far right:

The mode stays same as still most used number is 5:

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

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The surface area of the given prism is 230 in².

Given is a net of triangular prism, we need to find the surface area of the prism,

The surface area of a triangular prism = perimeter × length + base area

= (5 + 5 + 8) × 10 + 5 × 10

= 18 × 10 + 50

= 180 + 50

= 230 in²

Hence the surface area of the given prism is 230 in².

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Answer:

each side of the square is 25cm

Step-by-step explanation:

this is because of two things:

1. a square has equal sides

2. the perimeter is all the sides added together.

so if you call the length of one side x, you can make this equation:

x + x + x + x = 100

combine like terms

4x = 100

divide both sides by 4

x = 100/4

x = 25

Answer:

25 cm

I hope this helps!

Answer: answer is in the ss i put

Source:trust me bro

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer: A three sided polygon is a triangle.

Step-by-step explanation:

Types of these include: isosceles, equilateral, scalene, obtuse, acute, and right triangles. Example:

Answer:

35,408  miles in 8 days.

Step-by-step explanation:

4,426 x 8 = 35,408

Answer:

3500

Step-by-step explanation:

split 7000 in half for stocks and treasury= 3500 each.

7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.

Answer:

B. 1/8

Step-by-step explanation:

Chance of each number = 1

Total number of chances = 8 (including 0)

Therefore,

Chance that each number will occur = 1/8

Hope it helps:)

Have a good day!

(b)  The range of the function is (-∞, 1] U [1, +∞).

(d) The limit as x approaches negative infinity is 1.

(e) lim(x→1+) f(x) = 1 / 1 = 1, The limit as x approaches 1 from the positive side is 1.

(a) Sketching the graph of the function f(x) = \((x^4 - 1) / x^4:\)

To better understand the properties of the function, let's simplify it:

f(x) =\((x^4 - 1) / x^4\)

By factoring the numerator as a difference of squares, we get:

f(x) =\([(x^2)^2 - 1] / x^4\)

Now we can simplify further:

f(x) = \([(x^2 + 1)(x^2 - 1)] / x^4\)

Notice that (x² - 1) is a difference of squares and can be factored as (x - 1)(x + 1):

f(x) = \([(x^2 + 1)(x - 1)(x + 1)] / x^4\)

From this expression, we can observe the important properties of the function:

1. The function is defined for all real numbers except x = 0 since division by zero is undefined.

2. The function has vertical asymptotes at x = 0 and x = ±1.

3. The function is positive for x < -1 and x > 1, and negative for -1 < x < 0.

4. The function crosses the x-axis at x = -1 and x = 1.

To sketch the graph, you can use an online graphing tool like Desmos or Wolfram Alpha. The graph will show the vertical asymptotes, the x-intercepts, and the overall shape of the function.

(b) Domain and range of the function:

The domain of the function f(x) is all real numbers except x = 0, as division by zero is undefined.

The range of the function f(x) can be determined by analyzing the behavior of the function as x approaches positive and negative infinity. As x approaches infinity, the function approaches 1 since the higher powers dominate the fraction. As x approaches negative infinity, the function also approaches 1. Therefore, the range of the function is (-∞, 1] U [1, +∞).

(c) Partial fraction expansion of f(x):

To find the partial fraction expansion, we start with the expression we simplified earlier:

f(x) = \([(x^2 + 1)(x - 1)(x + 1)] / x^4\)

To expand this into partial fractions, we need to factor the denominator:

x⁴ = x² · x²

The partial fraction expansion will have the form:

f(x) = A/x + B/x² + C/x³ + D/x⁴

To find the values of A, B, C, and D, we can equate the numerators:

(x² + 1)(x - 1)(x + 1) = A · x³ + B · x² + C · x + D

Now we can solve for A, B, C, and D by expanding the left side and comparing the coefficients of the corresponding powers of x.

(d) Limit as x approaches negative infinity:

lim(x→-∞) f(x) = lim(x→-∞) [(x⁴ - 1) / x⁴]

Since the highest power in the numerator is x⁴, and the highest power in the denominator is also x⁴, we can apply the rule of limits for rational functions:

lim(x→-∞) f(x) = (leading coefficient of the numerator) / (leading coefficient of the denominator)

In this case, the leading coefficients are both 1:

lim(x→-∞) f(x) = 1 / 1 = 1

Therefore, the limit as x approaches negative infinity is 1.

(e) Limit as x approaches 1 from the positive side:

lim(x→1+) f(x) = lim(x→1+) [(x⁴ - 1) / x⁴]

We can again apply the limit rule for rational functions since the highest power in the numerator is x⁴, and the highest power in the denominator is also x⁴:

lim(x→1+) f(x) = (leading coefficient of the numerator) / (leading coefficient of the denominator)

Again, both leading coefficients are 1:

lim(x→1+) f(x) = 1 / 1 = 1

Therefore, the limit as x approaches 1 from the positive side is 1.

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The probability values are calculated and listed below

They are both black

Here, we have

Black = 3

Yellow = 5

Sice the balls are not replaced, we have

P(Both black) = 3/8 * 2/7

P(Both black) = 3/28

They are both yellow

Sice the balls are not replaced, we have

P(Both Yellow) = 5/8 * 4/7

P(Both Yellow) = 5/14

The first is yellow and the second is black

Sice the balls are not replaced, we have

P(Yellow and black) = 5/8 * 2/7

P(Both Yellow) = 5/28

One is yellow the other is black

Sice the balls are not replaced, we have

P(One Yellow and One black) = 5/8 * 2/7 * 2

P(One Yellow and One black) = 5/14

They are of the same colour​

Here, we have

P(Same) = 3/28 + 5/14

P(Same) = 13/28

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Using Unitary Method, we calculated that students attend 6 classes per day.

The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit.

It is the one of most useful methods for solving problems.

Given Information,

It takes for the students to attend 42 classes in 7 days.

So, In 7 days, students attend = 42 classes

In 1 day, students attend = 42/7 = 6 classes

Hence, using Unitary Method, we calculated that students attend 6 classes per day.

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Answer: 0.5

Step-by-step explanation:

Answer:

other dude is wrong its

0.16 repeating

Step-by-step explanation:

Answer:

A then B

Step-by-step explanation:

1440≈1,000, and 1,000=10^3

1000000/1440≈700, and 700≈1,000. 1,000=10^3

The radius of the circle at point O is E, 4.

Using the same reasoning, OD = DN and AE = EM. Also, AB/ON = OD/DN, which gives AB = ON × OD/DN. Substituting the given values:

AB = ON × OD/DN

4√2 = 1 × OD/DN

OD = DN = 4√2

Using the Pythagorean theorem in triangle ODN:

OD² + DN² = (2r)²

(4√2)² + (4√2)² = (2r)²

32 + 32 = 4r²

r² = 16

r = 4

Therefore, the radius of O is 4. The answer is option (E).

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Image transcribed:

5 Shown as the following figure, in OO, CD⊥AB at point E, AM⊥BC at M, AM intersects CD at point N, connect point A and point D. Given that AB = 4√2, ON = 1, what is the radius of O?

Think Academy

A

N

D

E

M

B

A. 2

B.2.5

C. 3

D. 3.5

E.4

The first partial derivatives of f(x,y) at the point (3,1) are:
∂f/∂x(3,1) = 3
∂f/∂y(3,1) = -12

To find the first partial derivatives of f(x,y) at the point (3,1), we need to find the partial derivative with respect to x and y, respectively, and then substitute x=3 and y=1.

So, let's begin with the partial derivative with respect to x:
∂f/∂x = 3 - 0  (since the derivative of 3x with respect to x is 3, and the derivative of 4y with respect to x is 0)

Now, we can substitute x=3 and y=1 into this expression:
∂f/∂x(3,1) = 3 - 0 = 3

So, the partial derivative of f(x,y) with respect to x at the point (3,1) is 3.

Next, let's find the partial derivative with respect to y:
∂f/∂y = 0 - 12y^2  (since the derivative of 3x with respect to y is 0, and the derivative of 4y with respect to y is 12y^2)

Now, we can substitute x=3 and y=1 into this expression:
∂f/∂y(3,1) = 0 - 12(1)^2 = -12

So, the partial derivative of f(x,y) with respect to y at the point (3,1) is -12.

Therefore, the first partial derivatives of f(x,y) at the point (3,1) are:
∂f/∂x(3,1) = 3
∂f/∂y(3,1) = -12

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The slope of the line is \(\frac{2-0}{0-(-4)}=\frac{1}{2}\).

Substituting into point-slope form, the equation is \(\boxed{y=\frac{1}{2}x+2}\).

a) the inverse function is:

f-1(y) = (y-b)/a

b) f(x) is not one-to-one, it does not have a unique inverse function. Therefore, (F-1)(a) = DNE.

First, let's answer the first part of the question:

To determine whether the function f(x) = ar+b is one-to-one, we need to check if different inputs produce different outputs. Let's suppose that f(x1) = f(x2), where x1 and x2 are distinct inputs. Then, we have:

ar+b = f(x1) = f(x2) = ar+b

Subtracting ar+b from both sides, we get:

ar-ar+b-b = 0

Simplifying, we get:

a(x1 - x2) = 0

Since a is nonzero, this equation implies that x1 = x2, which contradicts our assumption that x1 and x2 are distinct. Therefore, the function f(x) = ar+b is one-to-one.

To find the inverse function of f(x) = ar+b, we can solve for x in terms of y:

y = ar+b

y-b = ar

r = (y-b)/a

x = (y-b)/a

Therefore, the inverse function is:

f-1(y) = (y-b)/a

Now, let's answer the second part of the question:

To find (F-1)(a) for f(x) = x2 + 2x - 1 and a = -4, we set y = -4 and solve for x:

y = x2 + 2x - 1

-4 = x2 + 2x - 1

x2 + 2x - 3 = 0

(x + 3)(x - 1) = 0

x = -3 or x = 1

Since f(x) is not one-to-one, it does not have a unique inverse function. Therefore, (F-1)(a) = DNE.

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Answer:

Contained in.

Step-by-step explanation:

The correct answer to given question is "contained in". This is because of the fact that it was extracted as it was stated in the source or authorized document without any need to add any information, analyze or interpret the information in the new document.

The concept that was used to determine the derivative classification of the new document is "revealed by".

This is so because the new document breaks down the information that emerges from the source document, thus revealing the details that are not specified in it, giving more weight to the information and allowing those who read said information to acquire greater knowledge.

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The increase in the minimum wage from $8.10 to $15, indicates that the percentage increase in the minimum wage is 85.\(\overline{185}\)%

A percentage represent the number, amount, proportion or ratio of an item to another (possibly larger) item per hundred (100) units of the comparison or larger item.

Percentages, quantitatively describes the idea of the amount of a substance. It is a measure of the amount or occurrence of an item.

The specified original minimum wage at Ben's Burger = $8.10

The new amount to which the minimum wage is increased = $15

The percentage increase can be obtained using the formula;

\(\% \ increase = \frac{New - Original}{Original} \times 100\)

The percentage increase is therefore; ((15 - 8.10)/8.1) × 100 = 85.\(\overline{185}\) %

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The Solution:

Given:

We are required to find the probability that the adult selected has IQ greater than 120.

By the Z-statistic formula, we have:

From the Z score tables, we have:

Therefore, the correct answer is 0.091

I'm sorry but i can't help with this BUT i can give you a graph calculator

You can use Desmos graphing calculator to plot the inequality (y\ge-x^2-1).

h t t p s : / /w w w . d e s m o s. c o m / c a l c u l a t o r