Find the value of a for which v = [6 -10 4 a] is in the set H = span

The required linear function y = -x + 2.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

The equation for the slope, m, of a line is:

m = y₁- y₀ / x₁ - x₀                         {equation 1}

The equation f(0) = 2 tells us that x₀ = 2and y₀ = 0,

substitute this into equation [1].

m = y₁- (0) / x₁ - 2                         {equation 2}

The equation f(3) = -1 tells us that x₁ = -1 and y₁= 3,

substitute this into equation [2].

m = 3/-3

m = -1

Substitute m to the equation y = mx + b,

y = -x + b

Now, substitute the value of x = 2 and y = 0

b = 2.

Now the linear function,

y = -x + 2

Therefore the linear function y = -x + 2.

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Answer:

y = - 8x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 8 and c = 5 , then

y = - 8x + 5 ← equation of line

Answer:

GOOD MORNING

Step-by-step explanation:

I AM SINGLE

The total time ran by Katie on Tuesday and Wednesday together is given by the equation A = 16.23 minutes

where A is the total time

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total time ran by Katie on Tuesday and Wednesday be = A

Now , the equation will be

The time required by Katie to run a mile on Tuesday = 8.34 minutes

The time required by Katie to run a mile on Wednesday = 7.89 minutes

So ,

Total time ran by Katie on Tuesday and Wednesday A = time required by Katie to run a mile on Tuesday + time required by Katie to run a mile on Wednesday

Substituting the values in the equation , we get

Total time ran by Katie on Tuesday and Wednesday A = 8.34 minutes + 7.89 minutes

On simplifying the equation , we get

Total time ran by Katie on Tuesday and Wednesday A = 16.23 minutes

Therefore , the value of A is 16.23 minutes

Hence , The total time ran by Katie on Tuesday and Wednesday together is A = 16.23 minutes

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The correct option for the given equation is D.

What is an equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to the given equation ,

7x² − 4 − (x² − 4x − 12) ,

we need to simplify the equation,

opening the bracket .

7x² - 4 - x² +4x +12

taking like terms together ,

(7x² -x²) +4x (-4+12)

solving it , we get

6x² + 4x + 8

Hence the option for the given equation is D which is 6x² + 4x + 8.

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The probability that exactly 18 pairs of twins will be born in the county in 2015 is 0.07472.

Given that,

Poisson (2.)

Let x = The number of pairs of twins

That will be born in the Country in 2015

To find : Calculate the probability that exactly 18 pairs of twins will be born in the country in 2015.

We know that

Here,

The probability mass function (pmt of x) is given by

P ( X = x ) = e⁻²¹ x 21ˣ / x!

where x = 0,1,2 , . . .

Substitute x = 18 in above equation,

Then we get,

P ( x = 18 ) =  e⁻²¹ x 21¹⁸ / 18!

P( x = 18 ) = 0.07472

P ( x = 18 ) = 0.07472

Therefore, the probability that exactly 18 pairs of twins will be born in the county in 2015 is 0.07472.

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Answer:help on what?

Step-by-step explanation:

The value of a in the equation is 32/81

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

log2 ab = 5 and log3 b = 4

Rewrite the above equations properly

So, we have the following representations

log₂ ab = 5 and log₃ b = 4

Apply the exponent law of logarithm

This gives

ab = 2⁵ and b = 3⁴

Divide both equations

So, we have the following representation

ab/b = 2⁵/3⁴

Evaluate the quotient

a = 32/81

Hence, the value of a is 32/81

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Therefore, the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on process.

Probability theory examines numerical illustrations of the probability that an event will happen or that a statement is true. An event's probability is expressed as a number between 0 and 1, with 1 generally denoting certainty and 0 generally denoting impossibility.

Here,

f(x,y) =[tex]xe^{-x(1+y)}[/tex]

Took the double integral of the equation above, first the integral with respect to y (from 0 to infinity) and then with respect to x (from 5 to infinity).

therefore the integration,

[tex]\int\limits^ {infinity}_0{xe^{-x(1+y)} } \, dx[/tex]

[tex]\left \{ {{y=infinity} \atop {x=0}} \right. \frac{-x}{y+1} e^{-x(y+1)} + \frac{1}{y+1} \int\limits^{infinity} _0{ e^{-x(y+1)} \, dx[/tex]

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

[tex]fX(x)[/tex] is easier with:fX(x) =[tex]\int\limits^{infinity}_0 {x}e^{-(x(y+1))} \, dy[/tex]=[tex]xe^{-x} \int\limits^{infinity}_0 x {e^{-xy} } \, dy=e^{-x}[/tex]

We get

We used u substitution to end up with    [tex]e^{-x(1+y)}[/tex] which is needed to evaluate from 0 to infinity, which left me with [tex]e^{-x}[/tex]

Then the integral with respect to x from 5 to infinity which left with an answer of [tex]e^{-5}[/tex]

So the probability that the lifetime X of the first component exceeds 5 is 0.006737, based on my process.

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The missing value so that the line passing through the points has the given slope is of:

r = 9.

Given two points that are on the graph of the linear function, the slope of the linear function is obtained by the division of the change in y of the two points by the change in x of the two points.

In this problem, the points are given as follows:

(6, r) and (3,3).

Hence the changes are given as follows:

Then the equation that gives the slope is of:

m = (r - 3)/3.

The slope has a numeric value of 2, hence the missing value r is obtained as follows:

2 = (r - 3)/3.

r - 3 = 6

r = 9.

The points are given as follows:

(6, r) and (3,3).

The slope is of:

m = 2.

Answer: 25 oz for 2.30

Step-by-step explanation:

18oz Pepsi for $2.00

Take 2 divided by 18 = $0.11

25 oz for $2.30

Take 2.3 divided by 25 = $0.09

So 25 oz for 2.30 is better!

The statement "in every instance of the stable matching problem, there is a stable matching containing a pair (m, w) such that m is ranked first on the preference list of w and w is ranked first on the preference list of m" is true.

Stable pairing is a way which guarantees that all elements from two sets (men and women, children and toys, people and vacation destinations, whatever) are paired with an element from the other set AND that pair is the "best available match".

According to the statement, men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.

The pairing is a best available match and therefore can be called as a stable matching problem. Hence the statement is true.

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Answer: Linear

Step-by-step explanation:

We need to select different combinations of friends for a week and include every friend at least once. The possible number of ways is 72.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The formula for combination is as follows:

[tex]C(n,r) = \frac {n!}{r!(n-r)!}[/tex]

Number of for first 5 days = C(7,3)+C(6,3)+C(5,3)+C(4,3)+C(3,3)

=70

2 friends are remaining for last two days and we can assign them in any group of 3.

Total number of ways = 70 +2

=72

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Answer:

[tex](x+2)(x+3)[/tex]

Step-by-step explanation:

⭐What does factorisation mean?

⭐What are factors?

Thus, we have to write [tex]x^2+5x+6[/tex] in terms of its factors.

I have a picture attached to this response to show you how factorisation works, but I will also explain it here.

How to factorise:

The picture of factorisation is attached to this response.

⭐ if this response helped you, please mark it the "brainliest"!⭐

Therefore they have to sell 130 concert tickets to equal $5,000 per concert.

Equations are logical statements in mathematics with two algebraic expressions on either side of the equals (=) symbol. The expressions on the left and right are demonstrated to be equal in relation to one another. All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain an "equal to" sign, it is not an equation. As an expression, it will be considered. An explanation of the differences between an expression and an equation will be provided later in this essay.

Here,

P=850+5x

so the band’s goal is for the amount earned on ticket sales minus production costs to equal $5,000 per concert.

So new equation formed is

50x-P=5000

50x-(850+5x)=5000

50x-5x-850=5000

45x=5850

x=5850/45

x=130

Therefore they have to sell 130 concert tickets to equal $5,000 per concert.

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Answer:

21

Step-by-step explanation:

If it is in the center than DC is 21 and CM is 21

42÷ 2

Total Total revenues will exceed = 8782.01

What is Total Revenue?

Total revenue is the overall sum of money received by a business through the sale of its products and services. Based on demand and price, it measures how successfully a company is generating revenue from its main operations.

Let x - normal (101.15 ,12.15)

where µ = 101.15

σ = 12.15

Mean for 85 customers

µ = 85 * 101.15 =8597.75

standard deviation for 85 customers

σ = [tex]\sqrt{85}[/tex] * 12.15 = 112.017

P ( x >x₁ ) = 0.05

P ( x-µ/ σ > x₁-8597.75/112.017) = 0.05

P (Z >Z₁) = 0.05

Where

Z₁ = x- 8597.75/112.017

Z₁ = 1.645

Then x = 112.017 *1.645 +8597.75

x = 8782.01

Total total revenues will exceed = 8782.01

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The simplest form in fraction will be 20666667/1000000 that can be find out using decimal and fraction relation.

How to convert decimal to fraction?

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.

For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10.

Steps :
1. Write down the decimal divided by 1, like this: decimal/1

2. Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

3. Reduce the fraction.

In given que 2.0666667 ,

7 decimal points are here.

so, equation will be 20666667/10^7

i.e. 20666667/10000000.

As both no. is indivisible to each other

So this is the simplest from.

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Answer:

Step-by-step explanation:

Graph crosses the x-axis at x = 0 and has zeros at {-5, -5}.Step-by-step explanation: Note that f(x) factors as follows:  f(x) = 4x^5 (x^2 + 10x + 25) …

Answer:

Step-by-step explanation:

BRO what FACTOR????????????????????????///////////////////////

Answer:

a. w = -18 x = -10 y = -2 z = 10

b. x and z are opposites because they are the opposite value of each other.

c. the integers w, x, y are less than zero because they are negative integers.

Step-by-step explanation:

a. because they are counting by twos it has to be the even numbers for both sides of the number line

b. because they are the same number just one is negative while the other isn't making them opposites.

c. because every number besides ten are negative making them below the value of zero.

The equivalent fractions for 2/3 is (3×2)/(3×3) = 6/9 and for  5/12 is (4×5)/(4×12) = 20/48.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The equivalent fraction for 2/3 is (3×2)/(3×3) = 6/9.

The equivalent fraction for 5/12 is (4×5)/(4×12) = 20/48.

We have to multiply the same number to both the numerator and denominator to get equivalent fractions.

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The correct answer is boosting.

Given that,

The four tree-based techniques are boosting, bagging, random forests, and decision trees. Which method uses bootstrapped samples, or the process of repeatedly obtaining random samples from training data and replacing them?

Boosting is an emsemble machine learning approach, where we use bootstrapping sampling technique to get the required samples. It helps in the reduction of variance and thus bring in less bias in the sampling approach. Therefore boosting is the correct answer here.

In order to gather the necessary samples for boosting, we employ the bootstrapping sampling technique. It aids in lowering variance, which reduces bias in the sampling strategy. Thus, boosting is the appropriate response in this case.

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The slope of as per the given points will be equal to 3/2. Hence, option B is correct.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the information given in the table,

The points are (-14, -18) and (-10, -12)

Use the equation given below to find the slope,

m = (y₂ - y₁)/(x₂ - x₁)

Substitute values in above equation,

m = (-12 - (-18))/(-10 - (-14))

m = (-12 + 18)/(-10 + 14)

m = 6/4

m = 3/2

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The indicated critical value of Z for given significance level, α = 0.04 is 1.75..

The critical Z-value is the point at which the area below the standard normal distribution is cut off. A critical value of z can indicate the probability that a particular variable has. If the absolute value of the test statistic is greater than the critical value, statistical significance is declared and the null hypothesis is rejected. The critical values of Z and t are approximately the same. The critical value test is:

Steps to determine the critical value:

We have given that,

α = 0.04 then α/2 = 0.02

then 1 - 0.02 = 0.98

Using the Z-table,

p-value = 1.7911 4444 ~ 1.75

Hence the critical values z, 0.04, is 1.75

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The simplification of [tex](16)^{1/2}[/tex] is 4.

To simplify [tex](16)^{1/2}[/tex] , you can use the property of exponents that says that [tex]{(a^b)}^c = a^{(b*c)[/tex]. Therefore, [tex](16)^{1/2}[/tex] can be rewritten as [tex]16^{(1/2)}[/tex].

The square root of 16 is 4, so [tex]16^{(1/2)}[/tex] = 4. Therefore, [tex](16)^{1/2}[/tex] = 4.

You can also simplify [tex](16)^{1/2}[/tex]  by writing 16 as a product of its prime factors: 16 = [tex]2^4[/tex]. The square root of 16 is the same as the square root of 2^4[tex]2^4[/tex], which is [tex]2^{(4/2) = 2^2} = 4[/tex]. Therefore, [tex](16)^{1/2}[/tex] = 4.

Simplification is a process of making something simpler or easier to understand. This can be done by reducing the complexity of a system, removing unnecessary components, or making the language more concise.

Simplification complexity is the process of reducing the complexity of a problem, system, or process. This can involve breaking down a complex problem into smaller, more manageable parts, or reorganizing the system or process to make it simpler and easier to understand and use. Simplifying complexity can make a system or process more efficient and easier to maintain.

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If Sebastian has x nickels and y pennies. He has at least 20 coins worth at most $0.65 combined then he has 27 nickels.

Two or more expressions with an Equal sign is called as Equation.

Given,

x represents nickels and y represents dimes.

x+y=20...(1)

0.05x+0.10y=0.65...(2)

From equation 1,

y=20-x

0.05x+0.10y=0.65

0.05x+0.10(20-x)=0.65

0.05x+2-0.10x=0.65

2-0.05x=0.65

Subtract 2 from both sides

-0.05x=0.65-2

-0.05x=-1.35

Divide both sides by -0.05

x=27

x+y=20

27+y=20

y=20-27

y=-7

Hence the number of nickels are 27 and dimes are minus seven.

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