6.
(11x-47)
(6x-2)
m
1
Solve for missing variable l and m are parallel

Answer:

A B and C

Step-by-step explanation:

it's a simple question

Answer:

8 months

Step-by-step explanation:

12/3 = 4, 1/3 is 4 so 1/3 + 1/3 = 2/3 or 8

Experimental design involves manipulating variables to observe their effect on an outcome, while correlational design observes the relationship between variables without manipulation.

In an experimental design, the researcher controls the independent variable(s) and randomly assigns participants to different levels of the independent variable(s) to observe the effect on the dependent variable. This allows for conclusions about cause-and-effect relationships between variables.

In contrast, in a correlational design, the researcher measures two or more variables to observe their relationship without manipulating them. Correlational studies can be used to describe the strength and direction of a relationship between variables, but they cannot establish causality.

While correlational studies are useful for identifying associations between variables, experimental designs are considered the gold standard for establishing causal relationships.

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This proves that the expected value of a Poisson distribution with parameter r is equal to r.

To prove that E(X) = r for X ~ Poisson(r), we use the definition of expected value:

E(X) = ∑x P(X = x) x

where the sum is taken over all possible values of X, and P(X = x) is the probability that X takes on the value x.

For the Poisson distribution, the probability mass function is:

P(X = x) = (e^-r * r^x) / x!

where r is the parameter of the Poisson distribution, representing the expected number of events per unit time (or space or other interval), and x is a non-negative integer.

Substituting this expression into the definition of expected value, we get:

E(X) = ∑x P(X = x) x

= ∑x (e^-r * r^x) / x! * x

= ∑x (e^-r * r^x) / (x-1)! (using x! = x(x-1)!)

= e^-r ∑x (r^x / (x-1)!)

= e^-r r ∑(x-1) [(r^(x-1)) / ((x-1)!)] (using the substitution k = x-1)

= e^-r r ∑k [(r^k) / k!]

= e^-r r e^r (using the power series expansion of e^r)

Therefore, we have:

E(X) = r

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The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = \(\{-\infty, \infty\}\)

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = \(\{-\infty, \infty\}\)

The number N thought by Samantha divided by5 is expressed as;

\(\dfrac{N}{5}\)

If the result is added to 4 and stored as R, then;

\(R = \dfrac{N}{5}+4\)

This gives the required result

The domain of the function is the input values for which the function exists. For the function above, the domain exists on all real values. Hence the domain of the function will be D = \(\{-\infty, \infty\}\)

The range of the function is the output values for which the function exists. For the function above, the range also exists on all real values. Hence the range of the function will be R = \(\{-\infty, \infty\}\)

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Answer:

x =7, y = 0

Step-by-step explanation:

\(2x - 9y = 14...(1) \\ \\ x = - 6y + 7...(2) \\ \\ from \: equation \: (1) \: and \: (2) \\ \\ 2( - 6y + 7) - 9y = 14 \\ \\ - 12y + 14 - 9y = 14 \\ \\ - 21y = 14 - 14 \\ \\ - 21y = 0 \\ \\ y = \frac{0}{ - 21} \\ \\ \huge \red{ y = 0} \\ \\ x = - 6 \times 0 + 7 \\ \\ x = 0 + 7 \\ \\ \huge \purple{x = 7}\)

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

Person 2 :

Person 3 :

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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The probability is calculated using the formula P(s) = (k-1)^(s-1) * (m-k+1) / m^s, where m represents the total number of tags available.

The problem can be approached using a geometric distribution, as we are interested in the number of trials (tag draws) required to achieve a certain sum (at least k). In this case, the probability of success on each trial is p = (k-1) / m, as there are (k-1) successful outcomes (tags that contribute to the sum) out of the total number of tags available, m.

The probability mass function of a geometric distribution is given by P(X = s) = p^(s-1) * (1-p), where X is the random variable representing the number of trials required.

Applying this to the given problem, the probability of taking s tag draws to accumulate a sum of at least k can be calculated as P(s) = (k-1)^(s-1) * (m-k+1) / m^s. Here, (k-1)^(s-1) represents the probability of s-1 successes (draws that contribute to the sum) out of s-1 trials, and (m-k+1) represents the probability of success on the s-th trial. The denominator, m^s, represents the total number of possible outcomes on s trials.

Using this formula, you can write a function with the necessary inputs (m, k, and s) to calculate the probability of taking s tag draws to achieve the desired sum.

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here hope this helps im not sure if its true but i found it

Answer:

D. More than half the length of AB ; 2 intersections needed

Step-by-step explanation:

Bisection implies dividing a given segment or angle into two equal halves.

To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.

Answer:

Since  

x = 1

 is a vertical line, the slope is undefined.

Step-by-step explanation:

Undefined

We can write:

XY² + XZ² = YZ².

(5a) we can say that, for any SCR, as = as.

(5b) This is not possible, as we get an absurd result. Hence, we can say that the statement "For any SCR, (5)° = 50" is not true.

(5c) On further simplification, we get:

0.6199 = 1.

This is not possible, as we get an absurd result. Hence, we can say that the statement "For any SCR, (S) = Sº" is not true.

(5a) For any SCR", as = as.

The statement "For any SCR, as = as" is true. It can be proved as follows: Given that SCR is a right triangle,

So, by Pythagoras Theorem, we can say that:

a² + s² = c²

and since SCR is a right triangle, angle S is the opposite angle of the hypotenuse. Therefore, according to the Trigonometric Ratio of Sine, we can say that:

sin(S) = s/c

Multiplying both sides of the equation with c, we get:

c * sin(S) = s

Now, we have

s = c * sin(S)

So, by substituting the value of s with

c * sin(S),

we get:

a² + (c * sin(S))² = c²

On simplification, we get:

a² + c² * sin²(S) = c²

On rearranging the terms, we get:

a² = c² - c² * sin²(S)

On taking the square root of both sides, we get:

a = c * √(1 - sin²(S))

Now, we know that

cos(S) = a/c

Therefore, by substituting the value of a with

c * √(1 - sin²(S)), we get:

cos(S) = c * √(1 - sin²(S))/c

On simplification, we get:

cos(S) = √(1 - sin²(S))

Therefore, we can say that, for any SCR, as = as.

(5b) For any SCR", (5)° = 50

The statement "For any SCR, (5)° = 50" is not true.

This can be proved with the help of a counter-example.Suppose we have a right triangle with angles of 40°, 50° and 90°.

Let's name the triangle as XYZ, where X is the right angle, Y is the 40° angle, and Z is the 50° angle.Since XYZ is a right triangle, we can say that the sum of all the angles is 180°. Therefore, the third angle (right angle) measures 90°. Now, as per the statement, we can say that angle Z = 50°. But we know that angle Z is the opposite angle of the hypotenuse. Therefore, by the Trigonometric Ratio of Sine, we can say that:

sin(Z) = opposite/hypotenuse

Therefore, we can write:

sin(Z) = XZ/YZ

Now, using the trigonometric table, we can find the value of sin(50°) as 0.7660. Therefore, we can write:

0.7660 = XZ/YZ

On solving for XZ, we get:

XZ = 0.7660 * YZ

Now, we also know that angle Y measures 40°. Therefore, by the Trigonometric Ratio of Sine, we can say that:

sin(Y) = opposite/hypotenuse

Therefore, we can write:

sin(Y) = XY/YZ

Now, using the trigonometric table, we can find the value of sin(40°) as 0.6428. Therefore, we can write:

0.6428 = XY/YZ

On solving for XY, we get:

XY = 0.6428 * YZ

Now, since XYZ is a right triangle, we can say that:

a² + s² = c²

Therefore, we can write:

XY² + XZ² = YZ²

On substituting the values of XY and XZ, we get:

(0.6428 * YZ)² + (0.7660 * YZ)² = YZ²

On simplification, we get:

0.6199YZ² = YZ²

On further simplification, we get:

0.6199 = 1

This is not possible, as we get an absurd result. Hence, we can say that the statement "For any SCR, (5)° = 50" is not true.

(5c) For any SCR", (S) = Sº

The statement "For any SCR, (S) = Sº" is not true. This can be proved with the help of a counter-example.Suppose we have a right triangle with angles of 40°, 50° and 90°. Let's name the triangle as XYZ, where X is the right angle, Y is the 40° angle, and Z is the 50° angle.Since XYZ is a right triangle, we can say that the sum of all the angles is 180°. Therefore, the third angle (right angle) measures 90°.Now, as per the statement, we can say that angle Z = 50°.But we know that angle Z is the opposite angle of the hypotenuse. Therefore, by the Trigonometric Ratio of Sine, we can say that:

sin(Z) = opposite/hypotenuse

Therefore, we can write:

sin(Z) = XZ/YZ

Now, using the trigonometric table, we can find the value of sin(50°) as 0.7660. Therefore, we can write:

0.7660 = XZ/YZ

On solving for XZ, we get:

XZ = 0.7660 * YZ

Now, we also know that angle Y measures 40°. Therefore, by the Trigonometric Ratio of Sine, we can say that:

sin(Y) = opposite/hypotenuse

Therefore, we can write:

sin(Y) = XY/YZ

Now, using the trigonometric table, we can find the value of sin(40°) as 0.6428. Therefore, we can write:

0.6428 = XY/YZ

On solving for XY, we get:

XY = 0.6428 * YZ

Now, since XYZ is a right triangle, we can say that:

a² + s² = c²

Therefore, we can write:

XY² + XZ² = YZ²

On substituting the values of XY and XZ, we get:

(0.6428 * YZ)² + (0.7660 * YZ)² = YZ²

On simplification, we get:

0.6199YZ² = YZ²

On further simplification, we get:

0.6199 = 1

This is not possible, as we get an absurd result. Hence, we can say that the statement "For any SCR, (S) = Sº" is not true.

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Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

20cm

Step-by-step explanation:

Given data

Area=  80cm^2

we know that the expression for the area of a triangle is

A= 1/2B*H

from the given expression 1/2(8h) =80 the base is 8cm

let us substitute to find the height h

1/2(8h) =80

4h=80

h= 80/4

h= 20cm

Hence the heigth h is 20cm

Answer:

0.44

Step-by-step explanation:

0.5-0.3 x0.2 (multiply)

0.5x0.06 = 0.44

(calculate)

Answer:

Yes that formula is right, and the y- intercept is where the line intersects with the y- axis on the graph.

Terms are 4b, 7b, 5 coefficient are 4 , 7 and constant = 4, 7 , 5

What are the parts in expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression:

4b+7b+5

As. term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Terms are 4b, 7b, 5

Now, coefficient is a number that is multiplied by a variable in an expression.

coefficient are 4 , 7

As a constant is a fixed numerical value,

So, constant = 4, 7 , 5

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The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

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Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

Answer:

y = 2x - 3

Step-by-step explanation:

gradient of the line is

\( \frac{9 - 5}{6 - 4 } = 2\)

equation will be:

\( \frac{y - 5}{ x - 4} = 2\)

y - 5 = 2x - 8

y = 2x - 3

The fractional equivalent of the repeating decimal 0.2 is 2/9

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

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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According to the solving Probability the value are as follows;

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

Since, We know that;

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 < P(E) < 1

where, P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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Given:

The rectangular stage at Radio City Music Hall in New York City measures 144 feet wide and 60 feet deep.

We will find the area by multiplying the width by the deep

So, the area =

So, the answer will be Area = 8640 square yards

Answer:

probability that 2 cards drawn from a deck of 52 cards are both kings.

is probability that first card is a king times probability that second card is a king

with replacement 4/52*4/52 =0.592%

without replacement 4/52*3/51=0.452%

Step-by-step explanation:

Answer:

classified info jk juss use a mf calculater

Step-by-step explanation:

Answer:

the answer is x = 1/3

Step-by-step explanation:

To write a division problem such that the quotient is the same as 1/4 divided by 2/3, you can use cross-multiplication to find an equivalent expression:

1/4 ÷ 2/3 = x

To find x, you can multiply both sides of the equation by the product of the denominators of the fractions, which is 6:

6 * (1/4 ÷ 2/3) = 6 * x

Applying the distributive property, you get:

(1/4) * (3/2) ÷ (2/3) = 6 * x

Simplifying the left side, you get:

3/8 ÷ 2/3 = 6 * x

Dividing the numerator and denominator of the fraction on the left side by the most significant common factor of 3, you get:

3/8 ÷ 2/3 = (3/3) / (8/3) ÷ 2/3 = 1/3 ÷ 2/3

Finally, dividing the numerator and denominator of the fraction on the right side by the same most significant common factor of 2/3, you get:

1/3 ÷ 2/3 = 1/3 ÷ (2/3) / (3/3) = 1/3 ÷ 2/3 = x

So, the answer is x = 1/3.

a. The equation of the reflected graph is y = -34

b. The equation of the shifted graph is y = 34

c. The equation of the shifted graph is y = 42.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".

a. Reflecting f(t) about the y-axis:

When we reflect a function about the y-axis, we change the sign of the x-values while keeping the y-values the same. Therefore, the equation of the reflected graph is:

y = -34

b. Shifting f(x) 9 units to the right:

To shift a function 9 units to the right, we replace t with (t - 9) in the equation. Therefore, the equation of the shifted graph is:

y = 34

c. Shifting f(x) 8 units upward:

To shift a function 8 units upward, we add 8 to the equation. Therefore, the equation of the shifted graph is:

y = 34 + 8

y = 42

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D.0.125

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.

You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Step by Step Exlaination:

A spinner is divided into 8 parts.

Numbered as 9 to 16.

S={9,10,11,12,13,14,15,16}

n(S)=8.

A:probability of getting reater than 15.

A={16}

m(A)=1

p(A)=m(A)/n(S).

      = 1/8.

      =0.125

p(A)=0.125

Probability of getting greater than 15 is 0.125

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The required probability that both are red out of total marbles is 0.0431 or 4.31%.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Total number of marbles in a jar = 40 + 11 = 51

Number of red marbles = 11, blue marbles = 40

At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.

Net probability = 11/51×10/50 = 0.0431

percentage probability = 4.31%

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