Hi! I really need help with this problem

Answer:

Domain is \(\{2,8,30,46\}\)

Range is \(\{-1,9,16\}\)

Step-by-step explanation:

The relation refers to the collection of ordered pairs, which contains an element from one set to another set.

Domain of a relation \(y=f(x)\) is all the values \(x\) that go into a function, and the range is a set of all the values \(f(x)\) that are obtained for the given domain.

The given relation is \(\{(2,-1),(8,16),(30,9),(46,16)\}\)

Here, domain is \(\{2,8,30,46\}\)

Range is \(\{-1,9,16\}\)

Answer:

h = - 18.4

Step-by-step explanation:

h + 9.2 = - 9.2

h + 9.2 - 9.2 = - 9.2 - 9.2

h = - 18.4

Answer:

-18.4

Step-by-step explanation:

Fixed it : )

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Flush, straight flush, and royal flush probabilities are calculated as follows: 5148/2598960≅0.00198

A flush's likelihood (while eliminating straight and royal flushes) is 5108/2598960, ≅0.00196.

Finding the fraction with the number of ways to have a flush as the numerator and the number of possible five-card hands as the denominator will allow us to determine the likelihood.

Combinations will be used to find each of these numbers (we don't care about the draw order; only about what shows up in our hand). Combinations' general formula is Cn,k=n!/(k)!(n-k)! with k=picks and n=population

Let's first determine the denominator by selecting 5 cards at random from a deck of 52 cards: C52,5=52!/(5)!(525)!

=52!/(5!)(47!)

Let's assess it!

52×51×50^10×49×48^2×47!/5×4×3×2×47!=52×51×10×49×2=2,598,960

Let's now determine the numerator.

In order to examine each hand with five cards of the same suit, we will compute all hands that feature a flush (including straight flushes, royal flushes, and flushes) (with a suit having 13 cards in total). We can say that we understand this by:

C13,5

Remember that there are 4 suites in which this might occur, but we only want 1, so multiply by C4,1. Putting it all together, we obtain:

C4,1×C13,5=4!/(1!)(4−1)!×13!/(5!)(13−5)!=4!13!/3!5!8!

Let's assess this.

4!×13×12×11×10×9^3×8!/3×2×5×4!×8!=13×12×11×3=5148

(Remember that we just calculated all hands, including straight flushes and royal flushes, that have a flush component to them!

The probability of getting a hand with a flush is:

5148/2598960≅.00198

We may exclude straight and royal flush possibilities from the 5148 flush hands by excluding those hands (which are hands with 5 consecutive value cards in the same suit, such as 3, 4, 5, 6, and 7 of hearts). Since there are four suits and 10 potential ways to get a straight (A-5, 2-6, 3-7,..., 10-A), we can subtract 4 from 5148 to get 5108 hands, which gives us the result 5108/2598960=0.00196.

The probability of having a 5-card hand that is a flush or royal flush is 0.00196

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it wont let me loo at it sorry but it seems easy.

Answer:

2

Step-by-step explanation:

Use BODMAS(bracket, of, division, multiplication, addition and subtraction)

72/8=9

(6*4)=24

24/12+9-9

2+0

=2

The solution for the given operations of numbers is 2.

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

We are using BODMAS rule here to solve the given operations.

6 * 4 ÷ 12 + 72 ÷8 - 9

According to the rule, first we should do multiplication.

6 × 4 = 24

6 * 4 ÷ 12 + 72 ÷8 - 9 = 24 ÷ 12 + 72 ÷8 - 9

Next do the division.

24 ÷ 12 = 2 and 72 ÷8 = 9

24 ÷ 12 + 72 ÷8 - 9 = 2 + 9 - 9

Now do the addition and subtraction.

2 + 9 - 9 = 2

Hence the final answer for the given operation is 2.

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The correct option of the given question is option(c) becomes narrower.

Based on the given information, when the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes narrower. So, the correct answer is option c. becomes narrower.

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When the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes wider.

This is because a higher confidence level implies a narrower interval to provide a higher level of certainty in capturing the true population mean. Conversely, when the confidence level is decreased, the interval needs to be wider to allow for a larger margin of error and account for the reduced confidence requirement.

Widening the interval ensures that the estimate is more conservative and includes a broader range of possible values for the population mean. Therefore, the confidence interval for μ becomes wider as the confidence level is lowered.

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Answer:

add an attachm3nt to make iy clear

Answer:

When x = 0, then y = -2

When y = 0, then x = 4

Step-by-step explanation:

We are given with the following equation;

x - 2y = 4

Now, we have to find the respective values of x and y for each value of x = 0 and y = 0.

Firstly, putting the value of x = 0;

x - 2y = 4

0 - 2y = 4

-2y = 4

y = \(\frac{4}{-2}\)  = -2

This means that when x = 0, then y = -2.

Similarly, putting the value of y = 0;

x - 2y = 4

\(x-(2\times 0)=4\)

x - 0 = 4

x = 4

This means that when y = 0, then x = 4.

The cell phone tower is 94 feet 8 inches tall, since its shadow is 100 feet and Lia's shadow is 3 feet 4 inches.

The cell phone tower must be taller than Lia, since it casts a much longer shadow. We can use the ratio of the shadow lengths to calculate the height of the tower. If Lia's shadow is 3 feet 4 inches, and the tower's shadow is 100 feet, then the ratio of the shadow lengths is 100:3.4. We can use this ratio to calculate the height of the tower. Lia is 4 feet 6 inches tall, which is 54 inches. If the ratio of the shadow lengths is 100:3.4, then the tower must be 100/3.4 times taller than Lia, which is 94 feet 8 inches. Therefore, the cell phone tower is 94 feet 8 inches tall.

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To find the composite functions and their domains, we need to substitute the function g(x) into function f(x) and vice versa. Let's calculate each composite function:

(a) (f ∘ g)(x) = f(g(x))

Substituting g(x) into f(x):

(f ∘ g)(x) = f(√x - 1) = (√x - 1)² + 2 = x - 2√x + 1 + 2 = x - 2√x + 3

The domain of (f ∘ g)(x) is determined by the domain of g(x), which is x ≥ 1 since the square root function is defined for non-negative values. So, the domain of (f ∘ g)(x) is x ≥ 1.

(b) (g ∘ f)(x) = g(f(x))

Substituting f(x) into g(x):

(g ∘ f)(x) = g(x² + 2) = √(x² + 2) - 1

The domain of (g ∘ f)(x) is determined by the domain of f(x), which is all real numbers since the square function is defined for any real input. So, the domain of (g ∘ f)(x) is (-∞, ∞).

(c) (f ∘ f)(x) = f(f(x))

Substituting f(x) into f(x):

(f ∘ f)(x) = f(x² + 2) = (x² + 2)² + 2 = x⁴ + 4x² + 6

The domain of (f ∘ f)(x) is the same as the domain of f(x), which is all real numbers. So, the domain of (f ∘ f)(x) is (-∞, ∞).

(d) (g ∘ g)(x) = g(g(x))

Substituting g(x) into g(x):

(g ∘ g)(x) = g(√x - 1) = √(√x - 1) - 1

The domain of (g ∘ g)(x) is determined by the domain of g(x), which is x ≥ 1. However, since we are taking the square root of (√x - 1), we need to ensure that (√x - 1) ≥ 0. Solving this inequality, we have √x ≥ 1, which gives x ≥ 1. Therefore, the domain of (g ∘ g)(x) is x ≥ 1.

In summary:

(a) (f ∘ g)(x) = x - 2√x + 3, domain: x ≥ 1

(b) (g ∘ f)(x) = √(x² + 2) - 1, domain: (-∞, ∞)

(c) (f ∘ f)(x) = x⁴ + 4x² + 6, domain: (-∞, ∞)

(d) (g ∘ g)(x) = √(√x - 1) - 1, domain: x ≥ 1

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Answer:

<

Step-by-step explanation:

25+(-14)-18 --->   25-32=-7
25+(-14)-(-18)  --->   43-14=29

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

To determine

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

Answer:

y=-5/3x-2/3

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5/3(x-(-4))

y-6=-5/3(x+4)

y=-5/3x-20/3+6

y=-5/3x-2/3

Answer:

x<=-4

.............................................

Answer:

= -60x- 12x power of 2 -2

Step-by-step explanation:

The number of revolutions the small wheel make for every 30 revolutions of the big wheel is 40.

The fundamental idea behind dimension is that only quantities that have the same dimensions can be added or subtracted.

Similarly, only if two physical quantities have the same dimensions can they be equal.

Let r be the radius of the small wheel = 15 in.

Let R be the radius of large wheel = 20 in.

Let n be the number of revolution made by small wheel.

Let N be the number of revolutions made by large wheel = 30.

According to the equality of dimension,

rn = RN

15×n = 20 × 30

n = 40

Therefore, the total number of revolution made by small wheel for every 30 revolutions of large wheel is 40.

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Answer:

4 and 9

Step-by-step explanation:

here's how it should be:

(36÷4) - (36÷9)

9 - 4

5

Answer:

(36 ÷ 4) − (36 ÷ 9) = 5

Step-by-step explanation:

To solve, we need to find the quotient of 36 divided by each number listed:

 ║12 ⇒ 36 ÷ 12 = 3

 ║8 ⇒ 36 ÷ 8 = 4.5

 ║9 ⇒ 36 ÷ 9 = 4

 ║4 ⇒ 36 ÷ 4 = 9

So, which of these two numbers can you subtract from each other to get 5?

 ║We can subtract 4 from 9 to get 5.

Therefore, our answer should be:

 ║(36 ÷ 4) − (36 ÷ 9) = 5

Answer: $253

Step-by-step explanation:At the end of 5 years, your savings will have grown to $1,003.

You will have earned in $253 in interest.

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

It's x = 5. It's the lowest point on the graph.

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer:

Step-by-step explanation:

5x(2+6x-5y)+2y(2+3y-4x)

10x+(30x^2)-25xy + 4y+(6y^2)-8yx

The line passes through the point:

We can use the slope-intercept form of a linear equation to get the line:

where

The points are:

Using the formula, we have:

Thus, the equation is in the form:

At the point (-1, -16), we have:

Therefore, the equation will be:

Answer:he will weigh 298lbs when he is 24 years old

Step-by-step explanation:

24-18=6  so y =6 plug this into problem (250 +(8x6))
8x6=48 (250=48)=298

The process of finding the value of a numerical or algebraic expression is called evaluation.

Evaluation involves substituting the given values of the variables in the expression and then simplifying the expression using the order of operations (PEMDAS).

For example, if we are asked to evaluate the expression 3x + 2y when x=4 and y=5, we would substitute these values to get 3(4) + 2(5), which simplifies to 12 + 10 = 22. Therefore, the value of the expression 3x + 2y when x=4 and y=5 is 22.

In algebra, evaluation is an important process because it allows us to find the value of an expression for specific values of the variables, which can help us to solve equations or inequalities, and to simplify expressions.

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Answer:

28 is one, but I can't find the other.

Step-by-step explanation:

28 divided by 4 is 7.

Answer:

\(3(x - 5)\)

Step-by-step explanation:

\(3(x - 5) =( 3)(x) + (3)( - 5) = 3x - 15 \\ \\ 3(x + 5) = (3)(x) + (3)(5) = 3x + 15 \\ \\ 3x( - 15) = (3x)( - 15) = - 45x\)

Answer: The median number of siblings is 3.

Step-by-step explanation:

Put all of the numbers in STAT, Edit on your TI-84 Graphing Calculator.

Press STAT again and then slide over to CALC and hit 1-Var Stats.

Press ENTER and then 2ND, 2 for the FreqList, hit enter twice.

Scroll down to Med.

The median should equal 3.

A fraction can be expressed as the product of a whole number and a unit fraction, for example:

or in terms of the sum of lesser fractions keeping the denominator of 10: