Find a solution to the system of equations 

The probability of the event a. P(E)3/8 b. P(E)3/8 c. P(E∩F)=11/16 d. P(G∪H)=13/16.

Divide the total number of outcomes by the entire number of different ways an event could happen to arrive at the probability. There are differences between probability and odds. Odds are determined by dividing the probability of a situation happening by the probability that it won't happen. Probability is a metric used to determine how likely an event is to occur. The likelihood that the coin will land with the heads side up is measured using the probability concept when we toss it in the air. Here is an example of how probability is used in everyday life that you probably already know about. Prior to a major outing, we always consult the weather prediction.

There are  16 marbles in total in a jar, 6 of it are red marbles that numbered 1 to 6 and there are 10 blue marbles numbered from 1 to 10

Let red marbles = r, blue marbles = b.

(a) The marble is red.

P(E)3/8

(b) The marble is odd-numbered.

P(F)=1/2

We may utilize the probability of the union of events to determine the likelihood of receiving red and odd-numbered marbles in solutions (a) and (b).

(c) The marble is red or odd-numbered.

P(E∩F)=11/16

(d) The marble is blue and even-numbered.

P(G∪H)=13/16

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The diameter of the Earth would need to be approximately 3,548.896 km to appear the same size as the Sun from the Moon.

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Let's call the diameter of the Earth "d".

From the Moon, the Earth is at a distance of 384,400 km,

and the Sun is at a distance of 149,600,000 km.

The ratio of the Sun's diameter to its distance from the Moon is

= 1,391,000 km / 149,600,000 km

= 0.00928.

So, to make the Earth appear the same size as the Sun, we need the ratio of the Earth's diameter to its distance from the Moon to be equal to 0.00928.

d / 384,400 km = 0.00928

Solving for d, we get:

d = 384,400 km x 0.00928

  = 3,548.896 km

Hence, the diameter of earth should be 3,548.896 km

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Answer: I don't know

Step-by-step explanation:

Mark me as brainiest

Answer:

it's help me ttoo

Step-by-step explanation:

i need help with mathh please im going to fail

Therefore, the r value alone is not enough to infer causality, regardless of its magnitude.

The correlation coefficient, also known as the Pearson correlation coefficient or Pearson's r, is a measure of the strength and direction of the linear relationship between two continuous variables. It is expressed as a number between -1 and 1, where -1 indicates a perfect negative correlation (meaning that as one variable increases, the other decreases), 1 indicates a perfect positive correlation (meaning that as one variable increases, the other also increases), and 0 indicates no correlation. The value of the correlation coefficient provides information about how closely the two variables are related, but it does not establish causality.

The r value alone is not enough to infer causality. A high correlation coefficient suggests a strong relationship between two variables, but causality means that one variable is causing the changes in the other variable and requires a causal mechanism and a demonstration of a temporal relationship between the variables.

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Based on the given angles, the missing answers of the sequences uploaded screenshots are:

The following answers are constructed based on the sequences of each problems not as the sequences of the uploaded screenshots.

3. Since ∠1 + ∠2 = 180°; then both are supplementary angles

4. Both ∠1 and ∠2 have equal size of angle and share no adjacent side; then both are vertical angles

5. 116° + 64° = 180°; then both are supplementary angle

8. Angles ∠3 and ∠4 are adjacent supplementary because it shares an adjacent side and its sum is 180°.

10. Angles ∠3 and ∠5 are vertical since they share no adjacent side but have equals size of angle.

12. Angles ∠1 and ∠5 are adjacent but neither complementary or supplementary because it sums are not 90° either 180°.

13. x and 107° are vertical angles; then:

x = 107°

15. x and 142° are supplementary angles; then:

x + 142° = 180°

x = 38°

17. ∠RST = 112°

∠RST = x + 87° = 112°

x = 35°

19. It is given that:

x + 127 = 180°

x = 53°

x = y = 53°

y + z = 90°

53° + z = 90°

z = 37°

21. ∠G + ∠H = 180°

51° + ∠H = 180°

∠H = 129°

22. ∠1 = ∠2

∠2 = 128°

23. ∠J + ∠K = 90°

∠J + 73° = 90°

∠J = 17°

2. Corresponding angles and congruent

4. Alternate interior angles and congruent

6. Consecutive interior angles and supplementary

8. Alternate exterior angles and congruent

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The point that creates a right triangle with the points (3, 6) and (8, -2), which Christopher could place on the graph to create a right triangle is the point (8, 7.25)

A right triangle is a triangle with one ninety degrees (90°) interior angle.

The points on the right triangle Christopher already graphed (3, 6), and (8, -2)

The property of a right triangle is one of the interior angles is 90°, therefore, the legs or two of the sides of a right triangle are perpendicular.

The slope of the line joining the specified two points is found as follows;

Slope = (-2 - 6)/(8 - 3) = -8/5

The slope of the line perpendicular to the line segment Christopher used to join the points (3, 6), and (8, -6) is 5/8

The equation of the perpendicular line is therefore;

y - 6 = (5/8)·(x - 6)

y = (5/8)·(x - 6) + 6 = 5·x/8 + 18/8

y = 5·x/8 + 18/8

When x = 8, we get; y = 5 × 8/8 + 18/8 = 7.25

Therefore, the point (8, 7.25), forms a right triangle with the points (3, 6) and (8, -2)

A point Christopher can place on the graph to create a right triangle is (8, 7.25)

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The right response is that 18 people covered 18 kilometers in total.

observe the instructions provided.

Try to form the following in light of the given circumstances: 6 + 7 + 5

Determine the difference or total for: 13 + 5.

Add up or subtract 18 and find the result.

Response: 18

How else do you determine the overall distance travelled?

As soon as a direction changes, note it. Determine the distance covered among each direction change in step two. Step 3: Total the distances from steps 2 and 3 to determine the total distance traveled.

To get the separation between any two points, use the Pythagorean theorem with the formula d=(((x 2-x 1)2+(y 2-y 1)2).

The length of the segment of the line connecting the two points is the distance between them. The shortest line segment between the point and the line will determine the distance between the two.

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                                      "complete question"

In training for a distance running event, Millicent runs 7 miles to a park. Then, she runs 5 miles to the beach before running 6 miles from the beach back to her house.

The journal for the completion of the two jobs and the sale of Job is given below:

A journal is a thorough account that captures all of a business's financial activities for use in account reconciliation in the future.

Preparation of the journal entries for the completion of the two jobs and the sale of Job 10

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If one side and two angles of a triangle are known, the triangle can be solved Law of Sines.

If A, B, and C are the measurements of the angles of a triangle, and a, b and c are the lengths of the sides opposite of the corresponding angles, then the ratio of side length to the sine of the opposite angle must all be the same.

                                      a/SinA = b/SinB = c/SinC

So, let's say that the value of 'a' is given and the value of angles A and B are also given. By using the law of sine, we can determine the value of 'b' as follows:

                                      a/SinA = b/SinB

                                      b = (a/SinA) SinB

Hence, if one side and two angles of a triangle are known, the triangle can be solved Law of Sines.

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Answer:

I have graphed it and attached it to the explanation.

Step-by-step explanation:

The weekly deposit of Neisha is given by the equation x = $ 12.35

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 weekly deposit of Neisha be x

Now , Neisha saves equal amount in every week

So , let the number of weeks be represented as n

Now , the equation will be

The total amount of money saved in n weeks = nx

Now , when the number of weeks = 6 weeks

The total amount of money saved in 6 weeks = 6x

The amount of money saved after 6 weeks = $ 74.10

Substituting the values in the equation , we get

6x = 74.10   be equation (1)

Dividing by 6 on both sides of the equation , we get

x = 74.10/6

x = $ 12.35

Hence , the amount of money saved each week is $ 12.35

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Answer: D

Step-by-step explanation:

45-4=41

45+4=49

Based on the given estimate that the candidate will receive 45% of the votes and the margin of error being 4%, the most appropriate conclusion would be option C:

The candidate will receive between 45% and 49% of the votes. To understand why this is the most appropriate conclusion, we need to consider the concept of margin of error. The margin of error is a measure of the uncertainty in the estimate and represents the range within which the true value is likely to fall. In this case, we have an estimated proportion of votes (45%) and a margin of error (4%).

To calculate the range within which the true value is likely to fall, we add and subtract the margin of error from the estimated proportion. Upper bound: [tex]45 + (4 of 45) = 45 + 1.8% = 46.8[/tex]  

Lower bound: [tex]45 - (4 of 45) = 45 - 1.8 = 43.2[/tex] %

Therefore, we can conclude that the candidate is likely to receive between 43.2% and 46.8% of the votes. Option C, which states that the candidate will receive between 45% and 49% of the votes, aligns with this conclusion. Option B (between 41% and 45%) is too conservative as it does not account for the upper bound of the margin of error,

Hence the correct option is C.

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The image of the translation 3 units right and 2 units down is attached.

Transformation in geometry is the process of changing the position, size, or shape of a geometric figure or shape. It can include

Translation in geometry is a transformation that involves moving a figure from one place to another on the coordinate plane, without changing its size or orientation.

The image of a figure after a translation is simply a slide of the original figure along the plane.

The translation involves adding 3 units to the x and subtracting 2 units to the y

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An equation in standard form to express the scenario is 5x + 2y = 120.

An equation in slope-intercept form to express the scenario is y = -5x/2 + 60.

One possible solution (x, y) is (10, 35), which means Luna and Miles can sell 10 chocolate brownies and 30 chocolate chips.

In order to write a linear equation to describe this situation, we would a assign variable to the number of chocolate brownies sold and the number of chocolate brownies sold respectively, and then translate the word problem into a linear equation as follows:

Since they are selling chocolate brownies for $5 each and $2 per chocolate chips, with a total revenue of $120, a linear equation in standard form that models the situation is given by:

5x + 2y = 120

In order to write the linear equation in slope-intercept form, we would make y the subject of formula;

2y = -5x + 120

y = -5x/2 + 60

When x = 10, the y-value is given by:

y = -5(10)/2 + 60

y = -25 + 60

y = 35

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The required cost of the meal given as a hot dog is of $6 and the hamburger is of $8.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Let's call the cost of a hot dog meal "x" and the cost of a hamburger meal "y".

From Mrs. Hammond's purchase, we know that:

x + 3y = 30   -- - - - - -(1)

From Mr. Weber's purchase, we know that:

3x + 3y = 42 - - - - - -(2)

We can use substitution to solve for one of the variables in terms of the other. If we substitute the first equation into the second equation:

3x + 3y = 42

3x + 3(30 - x)/3 = 42

3x + 30 - x = 42

2x = 12
x = 6

now,
6 + 3y = 30
3y = 24
y = 8

Thus, the required cost of the meal given as a hot dog is of $6 and a hamburger is $8.

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The value of x considering the mean is two will be equivalent to 7.

The mean also known as the average is obtained by adding the data and then dividing it by the number of values. Here is an example: 3+6+4 = 13 / 3 = 4.3.

We know the mean is 2, based on this let's calculate the missing number:

The current number of cats: is 0+ 8 + 12 +3 =23 Based on this, the missing number would be 7, which would lead to a total of  8+12+24 = 44 cats divided by a total of 22, which means there are 2 cats per family.

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The factors of the polynomial are (x + 1)(x - 3).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The upper side of the tiles shows the expression (x + 1), and the left side shows the expression (x - 3).

In both cases, you have to consider how many + x or - x is (one +x in one case and three -x in the other case).

If you multiply the factors, you get,

(x + 1)(x - 3) = x² - 3x + x - 3  

(x + 1)(x - 3) = x² - 2x - 3 .

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The quantity of positive numbers smaller than or equal to [tex]$10,000$[/tex] is [tex]$\fbox{958}$[/tex].

We see that a number [tex]$n$[/tex] is [tex]$p$[/tex]-safe if and only if the leftovers from[tex]$n\mod p$[/tex] is greater than [tex]$2$[/tex] and less than [tex]$p-2$[/tex]; thus, there are [tex]$p-5$[/tex] residues [tex]$\mod p$[/tex] that a [tex]$p$[/tex]-safe number can have. Therefore, a number [tex]$n$[/tex] satisfying the circumstances of the issue may [tex]$2$[/tex] different residues [tex]$\mod 7$[/tex], [tex]$6$[/tex] different residues [tex]$\mod 11$[/tex], and [tex]$8$[/tex] different residues [tex]$\mod 13$[/tex]. According to the Chinese Remainder Theorem, for a number [tex]$x$[/tex] that is [tex]$a$[/tex] (mod b) [tex]$c$[/tex] (mod d) [tex]$e$[/tex] (mod f) has one solution if [tex]$gcd(b,d,f)=1$[/tex]. For instance, in this instance, the number [tex]$n$[/tex] can be: [tex]3 (mod 7) 3 (mod 11) 7 (mod 13)[/tex]so since [tex]$gcd(7,11,13)=1$[/tex], there is [tex]1[/tex] solution for [tex]n[/tex] for this case of residues of [tex]$n$[/tex]. As a result, according to the Chinese Remainder Theorem, [tex]$n$[/tex] can have [tex]$2\cdot 6 \cdot 8 = 96$[/tex] different residues mod [tex]$7 \cdot 11 \cdot 13 = 1001$[/tex]. Thus, there are [tex]$960$[/tex] values of [tex]$n$[/tex] satisfying the conditions in the range [tex]$0 < n \le 10010$[/tex]. Nevertheless, we now have to eliminate all values bigger than [tex]$10000$[/tex] that satisfy the conditions. We can simply see by looking at residues that the only suitable values are [tex]$10006$[/tex] and [tex]$10007$[/tex], so there remain [tex]$\fbox{958}$[/tex] values satisfying the conditions of the problem.

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Working alone, Allen can build 1/8 of the fence in 1 hour and working together, Allen and Danny can build 1/X of the fence in 1 hour, where X is their combined rate.

Let's say the total time required to build the fence is T hours.

After 2 hours, Allen has completed 1/8 * 2 = 1/4 of the fence.

So, the remaining work to be done is T - 1/4.

When Allen and Danny work together, their combined rate is X = 1 / (1/8 + 1/16) = 4/7.

The total time taken by them to finish the remaining work is (T - 1/4) / (4/7) = (7/4) * (T - 1/4) = 7T/28 - 7/28.

So, the total time taken to build the fence is 2 + (7T/28 - 7/28) = 2 + 7T/28 = T.

Therefore, T = 2 + 7T/28 = 2 + 7 * (8 hours) / 28 = 2 + 4 hours = 6 hours.

So, Allen and Danny took 6 - 2 = 4 hours to build the fence after working together.

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The total gallons of water made use of in the park after the new ride is installed is,

⇒ 21.0049 × 10⁶ gallons of water

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

A water park has pools, slides, and rides that, in total, make use of

2.1 × 10⁷ gallons of water.

And, They plan to add a ride that would make use of an additional 4.9 × 10³ gallons of water.

Hence, The total gallons of water made use of in the park after the new ride is installed is,

⇒ 2.1 × 10⁷ + 4.9 × 10³

⇒ 21000 × 10³ + 4.9 × 10³

⇒ (21,000 + 4.9) × 10³

⇒ 21,004.9 × 10³

⇒ 21.0049 × 10⁶ gallons of water

Thus, The total gallons of water made use of in the park after the new ride is installed is,

⇒ 21.0049 × 10⁶ gallons of water

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The surface area of the rectangle prism is 52.05 in²

The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

l = 7.2 in

b = 1 1/2 = 3/2

h = 1 3/4 = 7/4

SA = 2( 7.2×1.5+ 7.2 × 1.75 + 1.75×1.5)

SA = 2( 10.8 + 12.6 + 2.625)

SA = 2 ( 26.025)

SA = 52.05 in²

therefore the surface area of the rectangle prism is 52.05 in²

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The experimental study design described is a 2x2 factorial design, where two independent variables (intervention and pretest) are crossed to create four groups for examining the main and interaction effects on the dependent variable.

Factorial designs allow researchers to examine the effects of multiple independent variables on a dependent variable. In this case, the two independent variables are the intervention (receiving vs. not receiving) and the pretest (receiving vs. not receiving). The two levels of each independent variable are crossed to create four different groups, two of which receive the intervention and two of which do not, two of which receive a pretest, and two of which do not.

This design allows the researcher to examine both the main effects of each independent variable and the interaction effects between the two independent variables on the dependent variable.

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Answer:

x=2

Step-by-step explanation:

not hard at all unless you forgot it XD

There are no whole numbers n that satisfy this characteristic

The difference of n and 10 must be a negative number for it to be less than 1, and no whole number can be negative.

Whole numbers are those that can only be represented as integers and don't include any fractional or decimal elements. They also go by the names "counting numbers" or "natural numbers," and they consist of the digits 0 through 9, including 1, 2, 3, 4, 5, 6, 7,, 8, and so on.

A whole number that can be either positive, negative, or zero is known as an integer. A group of integers that are not a fraction or a decimal, such as..., -2, -1, 0, 1, 2,..., are referred to as an integer in mathematics. The natural numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all included in the set of integers. Mathematicians employ integers for many various purposes, such as counting, organising, and performing arithmetic operations.

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   ( 0, 7 ) and ( 0,4 ) are  two points of the equation .

What Is an Equation, exactly?

An equation is a mathematical expression with two equal sides and an equal sign in between.

                                  An equation is, for instance, 4 + 6 = 10. 4 + 6 is visible on the equal sign's left side, and 4 + 6 is visible on the equal sign's right side.

    ( 4,0) & ( 0,7 )

Given constraint  is

        7x₁ + 4x₂ ≤ 28

  IF  x₁ = 0

         4x₂  =  28  

          x₂ = 7

        ( 0, 7 )

If x₂  = 0

    7x₁ = = 28

     x₁  = 4

       ( 4 ,0 )

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y=3x-3, is the equation of a line with slope 3 passing through the mid-point of the line joining (1,2) and (3,4).

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

the mid-point of the line joining (1,2) and (3,4) is,

(1+3/2, 2+4/2)

=(2, 3)

slope= 3 =m

the equation => y =mx+c

so, 3 = 6+c

=> c= -3

now, the equation of a line => y=3x-3

Hence,  y=3x-3, is the equation of a line with slope 3 passing through the mid-point of the line joining (1,2) and (3,4).

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