PLS ANSWER MY QUESTION (I WILL MARK THE BRAINLIEST IF ANSWERED CORRECTLY)
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Considering that the odds in favor of Debra winning a prize are of 9/2, the probability of Debra winning a prize is of:

9/11.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

An odd, conversely, is given by the division of the number of desired outcomes by the number of non-desired outcomes.

For the odd of 9/2, the parameters are given as follows:

Hence the probability of Debra winning a prize is of:

9/11.

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The scale factor of the quadrilaterals is equal to 3 / 4.

In this problem we find the case of two similar quadrilaterals, two quadrilaterals are similar when their internal angles are congruent and sides are not congruent though proportional. Then, both figures can be related by proportion formula:

JN / JP = HN / LP = EH / KL = EJ / KJ

From which we can determine the scale factor. If we know that JN = 36, JP = 48, HN = 18, LP = 24, then the proportion formula is:

k = 36 / 48 = 18 / 24

k = 3 / 4 = 3 / 4

The two quadrilaterals have a scale factor of 3 / 4.

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A precise figure or diagram can be used to calculate the diameter of the tin in mm.

How big is it in diameter?

A circular object's diameter is a straight line that touches two points on its circumference as it travels through its center. It measures twice the circle's radius and is the greatest separation between any two points on the circle.

When describing the size of circular or cylinder objects, such as pipes, wheels, and containers, the diameter is frequently used.

Any object that is circular or has a circular cross-section is subject to the fundamental geometry concept of diameter. The radius, or distance from the center of the circle, determines a circle's diameter.

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How can we Measure the diameter of the tin in mm and write down the real diameter in mm ?

If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

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The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

Answer: 50 miles

Step-by-step explanation:

you just need to multiply 20x2.5 which will give you 50 miles.

From the given information provided, the average stopping distance is 316 feet for car travelling at 65mph on dry level pavement.

The average stopping distance of a car traveling at 65 mph on dry, level pavement depends on various factors, such as the condition of the pavement, the condition of the tires, the weight of the car, and the efficiency of the braking system.

However, as a general estimate, the average stopping distance of a car traveling at 65 mph on dry, level pavement is about 316 feet. This includes both the reaction time of the driver and the braking distance of the car. It's important to note that this is an average estimate and actual stopping distance can vary depending on the conditions mentioned above. It's always best to drive at a safe speed and maintain a safe distance from other vehicles to avoid accidents.

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Answer:

4 and -3

Step-by-step explanation:

By higher I think you mean greater

In this case, for a) 4 will be greater, and for b) -3 will be greater

Answer:

......,. .............

Answer: To find the value of (f^-1)'(x) when x=3, we need to use the formula for the derivative of the inverse function:

(f^-1)'(x) = 1 / f'(f^-1(x))

Here, f(x) = (1/4)x^3 + x - 1. To find f'(x), we need to take the derivative of f(x) with respect to x:

f'(x) = (3/4)x^2 + 1

Now, we need to find f^-1(x) by solving for x in terms of y:

y = (1/4)x^3 + x - 1

y + 1 = (1/4)x^3 + x

4(y + 1) = x^3 + 4x

x^3 + 4x - 4(y + 1) = 0

We can solve this equation for x using a numerical method such as Newton's method or by using a graphing calculator. After solving, we find that:

f^-1(x) = g(x) = cube root of (x - 3) + 1

Now, we can find (f^-1)'(x) when x = 3:

(f^-1)'(3) = 1 / f'(f^-1(3))

= 1 / f'(g(3))

= 1 / [(3/4)g(3)^2 + 1]

= 1 / [(3/4)(-1)^2 + 1]

= 1 / (3/4 + 1)

= 4/7

Therefore, the value of (f^-1)'(x) when x = 3 is 4/7.

Step-by-step explanation:

Step-by-step explanation:

Hans earns $5.70 for each large necklace he sells and $4.20 for each small necklace he sells. To find out how much he will earn from selling 1 large necklace and 4 small necklaces, we need to multiply the price of each necklace by the number of necklaces sold and then add the results.

For the 1 large necklace, Hans earns:

1 x $5.70 = $5.70

For the 4 small necklaces, Hans earns:

4 x $4.20 = $16.80

To find the total amount that Hans earns, we need to add these two amounts:

$5.70 + $16.80 = $22.50

Therefore, Hans will earn $22.50 from selling 1 large necklace and 4 small necklaces.

Answer:

$22.50

Step-by-step explanation:

5.70 × 1 = $5.70

4.20 × 4 = $16.80

5.70 + 16.80 = $22.50

The student has prepared a homogeneous mixture. Option C is correct.

When a mixture's composition is not consistent throughout, it is said to be heterogeneous. Example oil and water.

Mixtures that are homogeneous have a consistent structure or makeup. For example salt in water.

When magnesium chloride is dissolved in water, it completely disappears. So, the uniform composition of the solution is formed.

Therefore, the student has prepared a homogeneous mixture.

Hence, option C is correct.

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The response we have is as follows to the query that was asked equation "Y varies directly as x and inversely as the square of z" can be translated as y = kx

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=).

If y varies directly as x and y = 24 when x = 6, we can use the formula for direct variation:

y = kx

where k is the variation constant. To find k, we can substitute the given values:

24 = k(6)

k = 4

So the equation of variation is y = 4x.

If x varies directly as y and x = 35 when y = 7, we can again use the formula for direct variation:

x = ky

To find k, we can substitute the given values:

35 = k(7)

k = 5

So the equation of variation is x = 5y. To find the value of y when x = 25, we can substitute x = 25 into the equation and solve for y:

25 = 5y

y = 5

If y varies inversely as x and y = 6 when x = 18, we can use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

6 = k/18

k = 108

So the equation of variation is y = 108/x.

If y varies inversely as x and y = 10 when x = 2, we can again use the formula for inverse variation:

y = k/x

To find k, we can substitute the given values:

10 = k/2

k = 20

So the equation of variation is y = 20/x. To find y when x = 10, we can substitute x = 10 into the equation and solve for y:

y = 20/10

y = 2

If a varies jointly as b and c, and a = 36 when b = 3 and c = 4, we can use the formula for joint variation:

a = kbc

To find k, we can substitute the given values:

36 = k(3)(4)

k = 3

So the equation of variation is a = 3bc.

If z varies jointly as x and y, and z = 16 when x = 4 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

16 = k(4)(6)

k = 2/3

So the equation of variation is z = (2/3)xy.

If z varies jointly as x and y and z = 60 when x = 5 and y = 6, we can use the formula for joint variation:

z = kxy

To find k, we can substitute the given values:

60 = k(5)(6)

k = 2

So the equation of variation is z = 2xy.

To find z when x = 7 and y = 6, we can substitute the given values into the equation we found in problem 7:

z = 2(7)(6)

z = 84

"y varies directly as x" can be translated as y = kx

"z varies inversely as the square of w" can be translated as z = k/w^2

"a varies jointly as b and c" can be translated as a = kbc

"Y varies directly as x and inversely as the square of z" can be translated as y = kx

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the correct question is -

1. If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.

2. If x varies directly s y and x = 35 when y = 7, what is the value of y when x = 25?

3. Find the equation and solve for k: y varies inversely as x and y = 6 when x = 18.

4. If y varies inversely as x and y = 10 when x = 2, find y when x = 10.

5. Find the equation of variation where a varies jointly as b and c, and a = 36 when b = 3 and c = 4.

6. z varies jointly as x and y. If z = 16 when x = 4 and y = 6, find the constant of variation and the equation of the relation.

Solve for the value of constant of variation k.

7. z varies jointly as x and y and z = 60 when x = 5 and y = 6.

8. Find z when x = 7 and y = 6

9. Translate into mathematical equations using k as the constant of variation.

10. Y varies directly as x and inversely as the square of z.

11. If z varies directly as x and inversely as y, and z = 9 when x = 6 and y = 2, find z when x = 8 and y = 12.

Answer:

Step-by-step explanation:

Angelique travels 75miles Jamila travels 115kilometers show that Angelique has traveled further than Jamila

If triangle + triangle + triangle =circle + circle and triangle +circle =30, then there are 15 circles and 15 triangles.

Based on the facts provided, we can say:

triangle + triangle + triangle = circle + circle_______________(1)

triangle + circle = 30_________________(2)

Let's start with equation (2). We can see that the sum of a triangle and a circle is 30. Hence, we can write:

triangle + circle = 30

Now we can substitute this into equation (1), which gives:

triangle + triangle + triangle = (triangle + circle) + (circle)

⇒ 3(triangle) = 2(circle) + triangle

To solve for the number of triangles in terms of the number of circles, we can rearrange this equation as follows:

2(triangle) = 2(circle)

⇒ triangle = circle

As a result, we have discovered that the quantity of triangles and circles is identical. So that we can determine the value of each form, we can substitute this into equation (2) as follows:

triangle + circle = 30

⇒ 2(triangle) = 30

⇒ triangle = circle = 15

Hence, the solution is that there are 15 circles and 15 triangles.

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Given that each roll is independent and that the odds of rolling a 2 are 1/6, the probability of receiving three 2s in a row is 1/216.

a. We can apply the multiplication principle to determine how many outcomes there are overall in the sample space.

There are 666 = 216 possible outcomes in the sample space because there are six outcomes for each die roll and we are rolling the die three times.

b. As each die roll is independent of the others, there is a 1/6 chance that any particular roll will result in a 2.

Therefore, the probability of getting three 2's in a row is (1/6)(1/6)(1/6) = 1/216.

So the probability of all three rolls being 2 is 1/216.

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Therefοre, the sοlutiοn οf the given prοblem οf graph cοmes οut tο be  the parabοla's apex is (-2, -9).

Mathematicians use graphs tο lοgically depict οr chart assertiοns οr values in a visual way. Usually, a graph pοint shοws the cοnnectiοn between twο οr mοre οbjects. A graph is a particular kind οf nοn-linear rail delivery up οf parts knοwn as nοdes as well as lines. The bοrders, alsο referred tο as nοdes, shοuld be jοined tοgether with glue.

The rοοts and vertex οf the parabοla must be identified in οrder tο draw the equatiοn y = x² + 4x - 5.

Setting y = 0 and figuring οut x's value will allοw us tο discοver the rοοts first:

=> [tex]x^2 + 4x - 5 = 0[/tex]

=> (x + 5)(x - 1) = 0

=> x = -5 or x = 1

Therefore, x = -5 and x = 1 are the equatiοn's solutions.

The vertex can then be lοcated by completing the rectangle as follows:

=> [tex]y = x^2 + 4x - 5[/tex]

=> [tex]y = (x^2 + 4x + 4) - 9[/tex]

=>[tex]y = (x + 2)^2 - 9[/tex]

Consequently, the parabοla's apex is (-2, -9).

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The coordinate matrix of x in the basis b' is calculated to be,

[-2    1      6]

[ 1     0     4]

[ 0   10    6]

To find the coordinate matrix of x in the basis b', we need to express x as a linear combination of the basis vectors in b', and then use the coefficients of the linear combination as the entries of the coordinate matrix.

So we want to find scalars a, b, and c such that:

(4, 30, -8) = a(8, 11, 0) + b(7, 0, 10) + c(1, 4, 6)

Expanding this equation, we get a system of linear equations,

8a + 7b + c = 4

11a + 4c = 30

10b + 6c = -8

Solving the above  system of equations, we will get:

a = -2, b = 1, and c = 6

Hence , the required coordinate matrix of x in the basis b' is found to be :

[-2  1  6]

[ 1  0  4]

[ 0 10  6]

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The requried there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To work out the number of different ways to choose one teacher, one girl, and one boy, we can use the multiplication principle of counting.

First, we need to choose one teacher out of 16. This can be done in 16 ways. Next, we need to choose one girl out of 120. This can be done in 120 ways. Finally, we need to choose one boy out of 100. This can be done in 100 ways.

By the multiplication principle of counting, the total number of ways to choose one teacher, one girl, and one boy is,

16 × 120 × 100 = 192,000

Therefore, there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

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The probability of rolling a 1 at least once in 11 rolls of a fair 8-sided die is approximately 0.838, while the probability of getting P(X> 2) heads in 8 flips of a fair coin is approximately 0.841.

The possibility of rolling a 1 on a fair eight-sided die is 1/8. The possibility of no longer rolling a 1 on one roll is 7/8. Therefore, the chance of not rolling a 1 on 11 rolls is (7/8)^11 ≈ 0. 162.

The possibility of rolling at least one 1 is the supplement of now not rolling a 1, that's 1 - 0. 162 = 0. 838. Therefore, the possibility of rolling a 1 as a minimum once-in 11 rolls of a truthful 8-sided die is approximately 0. 838.

The wide variety of times the coin comes up "heads" in eight flips follows a binomial distribution with n = 8 and p = 0. 5 (due to the fact that it is a fair coin).

Using the binomial probability formula, P(X > 2) = 1 - P(X ≤ 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)].

P(X = 0) = (8 choose 0) × (0.5)⁰ × (0.5)⁸ = 0.004

P(X = 1) = (8 choose 1) × (0.5)¹ × (0.5)⁷ = 0.035

P(X = 2) = (8 choose 2) × (0.5)² × (0.5)⁶ = 0.120

Therefore, P(X > 2) = 1 - (0.004 + 0.035 + 0.120) = 0.841. Consequently, the chance of getting extra than 2 heads in eight flips of a fair coin is about 0. 841.

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Option d. 24 is correct. side EG is 24 unit.

In a parallelogram, opposite sides are equal in length. Therefore, we have:

EG = FH

Also, the diagonals of a parallelogram bisect each other. This means that EJ is half of FH and JG is half of EG. Therefore:

FH = 2EJ

EG = 2JG

Substituting the given values, we get:

FH = 2EJ = [tex]2(x^2 - 4)[/tex]

EG = 2JG = 2(3x) = 6x

Now we can find the product EG•FH:

EG•FH = [tex]6x \times 2(x^2 - 4)[/tex]

= [tex]12x^3 - 48x[/tex]

Finally, we can factor out 12x from this expression:

EG•FH =[tex]12x(x^2 - 4)[/tex]

To find the values of EG•FH for the given numbers 4, 6, 12, and 24, we can substitute each value of x and simplify:

For x = 1: EG•FH = [tex]12(1^2 - 4) = -48[/tex]

For x = 2: EG•FH = [tex]12(2^2 - 4) = 24[/tex]

For x = 3: EG•FH = [tex]12(3^2 - 4) = 80[/tex]

For x = 4: EG•FH = [tex]12(4^2 - 4) = 176[/tex]

Therefore, EG•FH is equal to -48, 24, 80, and 176 for x = 1, 2, 3, and 4, respectively.

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Question

In parallelogramEFGH , EJ=x2−4 and JG=3x . What is EG ? 4 6 12 24 Quadrilateral E F G H with lines bisecting the shape from E to G and from F to H, point where line segments E G and F H intersect is labeled J.

The inverse of the function f:→f(x)=⌈x⌉ is not well defined. Option 3 is the correct answer.

If a function f: A B meets both the injective (one-to-one function) and surjective (onto function) qualities, the function is said to be bijective or bijection. As a result, f(a) = b is true for every element "b" in the codomain B and precisely one element "a" in the domain A. The function is referred to as one-to-one communication if it meets this requirement.

In the given group of functions we observe that the function f:→f(x)=⌈x⌉ is not a one on one function.

That is, f(1) = ⌈1 - 1⌉ = 1

The function is not bijective.

Hence, the inverse of the function f:→f(x)=⌈x⌉ is not well defined. Option 3 is the correct answer.

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The cost of one cherry pie is $4 and the cost of one blackberry pie is $7.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's use a system of equations to solve the problem:

Let c be the cost of one cherry pie and b be the cost of one blackberry pie.

From the information given in the problem, we can set up two equations:

6c + 10b = 94 (Equation 1)

15c + 15b = 165 (Equation 2)

We can simplify Equation 2 by dividing both sides by 15:

c + b = 11 (Equation 3)

Now we have two equations with two variables. We can use Equation 3 to solve for one variable in terms of the other. Let's solve for c:

c = 11 - b

Substitute this expression for c into Equation 1:

6(11 - b) + 10b = 94

Simplify and solve for b:

66 - 6b + 10b = 94

4b = 28

b = 7

Now that we know the cost of one blackberry pie is $7, we can use Equation 3 to solve for the cost of one cherry pie:

c + 7 = 11

c = 4

Therefore, the cost of one cherry pie is $4 and the cost of one blackberry pie is $7.

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The term you are looking for is "a jab" or "a taunt". Here is a step-by-step breakdown of the answer:

1)There are several terms that could describe this type of remark, but the most common ones are "a jab" or "a taunt".

2)"A jab" is a short, quick remark that is often intended to be humorous or witty. It can also be used to provoke or irritate someone.

3)"A taunt" is a more deliberate insult or provocation. It is often used to provoke an emotional response from someone, such as anger or frustration.

4)In the context of sports, both "a jab" and "a taunt" are used to describe remarks made by spectators, coaches, or other players about a player's performance.

5)Depending on the context and tone of the remark, it may be considered harmless or offensive.

6)It is important to remember that making fun of someone's performance can be hurtful and damaging, and should be avoided whenever possible.

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We will need to add 85 grams of mass to the mass hanger in order to get a total single mass hanger system equal to 90 grams.

To get a total single mass hanger system equal to 90 grams, you will need to add 85 grams of mass to the mass hanger. This is because the mass hanger is already 5 grams, and you need to add enough mass to get to 90 grams.

Here's the step-by-step explanation:

1. Start with the mass of the mass hanger: 5 grams
2. Subtract this from the desired total mass: 90 grams - 5 grams = 85 grams
3. The result is the amount of mass you need to add to the mass hanger: 85 grams

The combination of slotted masses and mass hanger allows a student to quickly create any desired amount of mass.

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The value of z = 19

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

Since the above figure is a regular , this means it's angles will be equal.

The sum of angles in a polygon is expressed as;

(n-2)180

Where n is the number of sides

(5-2)180 = 3× 180 = 540

5(4z+32) = 540

4z +32 = 540/5

4z +32 = 108

4z = 108-32

4z = 76

z = 76/4 = 19

therefore the value of z is 19

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Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First, add them all up 6+8+10=24

The amount that is not blue is 16 so:

[tex]\frac{16}{24}[/tex]

Then, simplify to 2/3

The simplified radical would be [tex]$\sqrt{200y^4} = 10y^2\sqrt{2}$[/tex] .

What is a radical?

In mathematics, a radical, or a root symbol, is a symbol used to indicate the root of a number or expression. The most common types of radicals are square roots (which indicate the second or "square" root of a number) and cube roots (which indicate the third or "cubic" root of a number).

[tex]\sqrt{200y^4}[/tex]

To solve [tex]$\sqrt{200y^4}$[/tex], we can simplify it by factoring out the perfect square from under the radical.

[tex]$\sqrt{200y^4} = \sqrt{100y^4 \cdot 2} = \sqrt{(10y^2)^2 \cdot 2}$[/tex]

Now we can simplify it further by taking the square root of the perfect square and leaving the other factor under the radical.

[tex]$\sqrt{(10y^2)^2 \cdot 2} = 10y^2\sqrt{2}$[/tex]

Therefore, the simplified radical would be [tex]$\sqrt{200y^4} = 10y^2\sqrt{2}$.[/tex]

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Complete Question;

Simplify the expression [tex]$\sqrt{200y^4}[/tex] in radical symbol.

The expression for the area of the triangle is given as follows:

[tex]A = x^2\frac{\sqrt{2}}{4}[/tex]

There are multiple forms to obtain the area of a triangle. However, for this problem, we have two sides of the triangle and the angle between them, hence we multiply the sides by the sine of the angle between them, and then divide by 2.

Hence the area is obtained as follows:

A = 0.5x² x sin(45º).

We have that [tex]\sin{45^\circ} = \frac{\sqrt{2}}{2}[/tex], while 0.5 = 1/2, hence the expression for the area is given as follows:

[tex]A = x^2\frac{\sqrt{2}}{4}[/tex]

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Answer:2

Step-by-step explanation: