A coin is thrown 3 times. What is the probability that at least one head is thrown?.

Answer:

f with an exponent of 4 f to the 4th power

Step-by-step explanation:

there are four f's multiplied by each other and an exponent just shows how many of a certain thing is multiplied by itself so if I had two to the third power it would be 2 times 2 times 2 so in the equation it has 4S multiplied by each other so it would be f to the 4th power

Answer:

m² - 100 = -99

Step-by-step explanation:

Two numbers are 10 units away from the midpoint m in different directions.

So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.

(m + 10) ( m-10) = -99

m² - 10² = -99

m² - 100 = -99

Hi there!

Hope this helps you!

Final Result: 31

Product of the given expression -2.8 (-1.7) is equal to 4.76.

As given in the question,

Given expression is equal to :

-2.8 (-1.7)

There are two numbers -2.8 and -1.7.

Both the numbers are negative.

Multiply negative to a negative number is positive number.

Result of -2.8 and -1.7 is positive number.

Required product of the given expression is equal to :

-2.8 (-1.7)

= (-1) × (2.8) × (-1) × (1.7)

Multiply (-1) to (-1) is equal to positive (1) :

= 2.8 × 1.7

= 4.76

Therefore, product of the given expression -2.8 (-1.7) is equal to 4.76.

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Answer:

A) 2(x-3)(x-5)

Step-by-step explanation:

2x^2-16x+30

2(x^2-8x+15)

2(x-3)(x-5)

The factors for the given trinomial is 2(x-6)(x-5)

A trinomial is an algebraic expression that has three non-zero terms and has more than one variable in the expression.

Given is a trinomial, 2x²-16x+30

On factorizing,

= 2x²-16x+30

= 2x²-10x-6x+30

= 2x(x-5)-6(x-5)

= (2x-6)(x-5)

= 2(x-6)(x-5)

Hence, the factors for the given trinomial is 2(x-6)(x-5)

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Answer:

11 1/2

Step-by-step explanation:

Answer:

2/100 im pretty sure if not then 2/99

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

http://www.calcul.com/show/calculator/recurring-decimal-to-fraction?i=0.02...

One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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Answer:

4%12

Step-by-step explanation:

Based on the given information, the graph represents the relationship between the number of adults present and the maximum number of children allowed on a field trip. Since the trip is allowing for a maximum of 12 children, we will analyze the graph to determine how many adults will be present.

Without the graph, we cannot provide the exact number of adults needed for 12 children. However, once you have the graph in front of you, simply locate the point on the graph where the number of children allowed (y-axis) is equal to 12. Then, trace the point horizontally to the corresponding number of adults on the x-axis. This will give you the number of adults required to supervise the 12 children during the field trip.

Remember to follow any guidelines or ratios that may be established by your school or organization regarding adult-to-child ratios on field trips, as this can impact the number of adults needed for the trip.

this graph represents the maximum number of children that are allowed on a field trip depending on the number of adults present to supervise. a trip is allowing for a maximum of 12 children. how many adults will be present? enter your answer in the box.

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Answer:

300 calories

Explanation:

Here radius:

perimeter of track = 2 π r = 2 (3.14) (75) = 471 ft

total laps ran:

So calories burnt:

Answer:

300 calories

Step-by-step explanation:

Circumference of a circle = πd

(where d is the diameter)

Given:

Substitute the given values into the formula to find the circumference (length of one lap):

⇒ Circumference = 3.14 × 150 = 471 ft

Given:

⇒ Total laps = total distance run ÷ circumference

                     = 11775 ÷ 471

                     = 25

Given:

⇒ Total calories burnt = total number of laps × cal burnt per lap

                                     = 25 × 12

                                    = 300 calories

Answer:

C. Energy

Step-by-step explanation:

The predator is looking for the energy needed in order for it to survive which it finds in its prey.

The predator-prey relationship is primarily based on the quest for energy.

Option C is the correct answer.

We have,

Predators hunt and consume prey in order to obtain energy for their survival.

The prey, on the other hand, tries to evade predation and secure its own energy resources for survival.

The interaction between predators and prey is driven by the need for sustenance and the transfer of energy within an ecosystem.

While factors like space, symbiosis, and even occasional instances of help between species can play a role in the dynamics of ecosystems, the primary driving force behind the predator-prey relationship is the quest for energy.

Therefore,

The predator-prey relationship is primarily based on the quest for energy.

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The sum of the expression is 2.4b + 2.05c + 3.2n + 15. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

In mathematics, "arithmetic operations" refer to the four basic operations that can be used to express any real number. Division, multiplication, addition, and subtraction are the four operations that result in quotient, product, sum, and difference, respectively.

We are given an expression as follows

⇒(2.4b + 9) + (2.05c - 2) + (3.2n + 8)

⇒2.4b + 9 + 2.05c - 2 + 3.2n + 8

⇒2.4b + 2.05c + 3.2n + 15

Hence, the sum of the expression is 2.4b + 2.05c + 3.2n + 15.

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The value of ( 5 ( cos 20° + i sin 20° ) )³ is 125 ( 1/2 + i √3/2 )

let z = ( 5 ( cos 20° + i sin 20° ) )³

We know that DeMoivre's theorem

( cos α + i sin α )ⁿ = ( cos n.α + i sin n.α )

z = ( 5 ( cos 20° + i sin 20° ) )³

z = 5³ ( cos ( 3 × 20 )° + i sin ( 3 × 20 )° )

= 125 ( cos 60° + i sin 60° )

= 125 ( 1/2 + i √3/2 )

Hence, the value of ( 5 ( cos 20° + i sin 20° ) )³ is 125 ( 1/2 + i √3/2 )

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Given question is incomplete, the complete question is below

How do you use DeMoivre's Theorem to simplify ( 5 ( cos 20° + i sin 20° ))³

Therefore , the solution of the given problem of probability comes out to be the probability is 1/3 = 0.33 so the least value is winning $10.

Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Probabilities can be expressed using the numbers 0 , 1, fractions with just a range of 0% - 100%, or an another few characters. the proportion of occurrences among a group of equally likely options out of all conceivable outcomes.

Here,

Given :

In a game, Rachel has the option of picking any one of three cards at random. She will receive $10 if she chooses Card A.

Choosing Card B will earn her $15.

She will receive $50 if she chooses Card C.

Thus ,

expected value of winning is $10 which is the least prize that is $10 on selected card A.

As the probability is 1/3 = 0.33

Therefore , the solution of the given problem of probability comes out to be the probability is 1/3 = 0.33 so the least value is winning $10.

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Answer:

Step-by-step explanation:

$25

Answer:

D= 10

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10\)

The two triangles are equal. They have one side NL in common and two equal ML=PL, MN=PN

Answer:

-8

Step-by-step explanation:

Hope this helps.

Answer:

-8

Step-by-step explanation:

9-4 = 5

5-6= -1

-1-0=-1

-1-2= -3

-3-4=-7

-7-1= -8

Answer:

\(\boxed{Mean = 14.16}\)

Step-by-step explanation:

Observation = 13.5, 13.1, 17.5, 13.7, 13.0

No. of Observations = 5

=> Mean = \(\frac{SumOfObservations}{NumberOfObservations}\)

=> Mean = \(\frac{13.5+13.1+17.5+13.7+13.0}{5}\)

=> Mean = \(\frac{70.8}{5}\)

=> Mean = 14.16

Observation = 13.5, 13.1, 17.5, 13.7, 13.0

and the Mean is: 14.16

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

$25.65 for each pair

Step-by-step explanation: hope this helps!

Answer:

x=-1

Step-by-step explanation:

hope this helps!

Answer:

1 solution

Step-by-step explanation:

3x-6 = 6x-3

3x = 6x+3

-3x = 3

x = -1

we can determine the maximum number of singles that will maintain the slugging average between .500 and .700. To determine a combination of singles, doubles, and home runs that gives the player a slugging average higher than.500, we need to consider the total bases gained from each type of hit.

Given that the player had 4 triples, each triple counts as 3 bases. The batting average is .300, which means the player had 0.3 * 400 = 120 hits (singles + doubles + triples).

Let's assume the player had 'x' doubles and 'y' singles. The total bases from doubles would be 2 * x, and the total bases from singles would be y. Since the total bases from triples is 4 * 3 = 12, the total bases from all hits would be 12 + 2 * x + y.

The slugging average is calculated by dividing the total bases by the number of at-bats. In this case, it should be higher than .500.

So we have the inequality: (12 + 2 * x + y) / 400 > 0.500.

Simplifying the inequality, we get: 12 + 2 * x + y > 200.

Now, to find a combination of doubles and singles that satisfies this inequality, we can try different values of x and y. For example, let's say the player had 10 doubles (20 total bases) and 50 singles (50 total bases). In this case, the total bases would be

12 + 20 + 50 = 82, and the slugging average would be

82 / 400 = 0.205

which is less than .500. So, we need more doubles and/or home runs to achieve a slugging average higher than .500.

Continuing this process, we can find a combination of doubles and home runs that satisfies the inequality and gives the player a slugging average higher than .500.

Regarding the maximum number of singles this player could have with a slugging average between .500 and .700, we can analyze the situation. In order to maximize the slugging average, we want to maximize the total bases. If the player hits only singles, each single counts as 1 base. To find the maximum number of singles, we need to consider the minimum number of hits from other types (doubles, triples, home runs) to maintain the slugging average between .500 and .700.

Let's assume the player hits 'a' doubles, 'b' triples, and 'c' home runs. In this case, the total bases would be a * 2 + b * 3 + c * 4 + y, where 'y' represents the maximum number of singles.

To maintain the slugging average between .500 and .700, the total bases divided by 400 should be within this range:

0.500 ≤ (a * 2 + b * 3 + c * 4 + y) / 400 ≤ 0.700.

Simplifying the inequality, we get:

200 ≤ a * 2 + b * 3 + c * 4 + y ≤ 280.

To find the maximum number of singles, we need to minimize the values of 'a', 'b', and 'c' while keeping the inequality satisfied. By minimizing the values of 'a', 'b', and 'c', we can maximize the remaining singles ('y').

Since the total bases need to be within the range 200-280, we need to find combinations of 'a', 'b', and 'c' that satisfy this range while keeping the number of singles ('y') as high as possible.

By trying different values of 'a', 'b', and 'c' within the given constraints, we can determine the maximum number of singles that will maintain the slugging average between .500 and .700.

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Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.

Step-by-step explanation:

6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.

Answer:

x=3

Step-by-step explanation:

6-2x=5x-9x+12

6-2x=-4x+12

-2x+4x=12-6

2x=6

x=6/2

x=3

Let's first understand the formula A=1/2absin C. This formula is used to find the area of a triangle where 'a' and 'b' are the lengths of two sides of the triangle and 'C' is the angle between those sides. The sin C represents the sine of angle C, which is used to calculate the area of the triangle.

Now, coming to the question of what bsin C is equivalent to in the given diagram. Looking at the diagram, we can see that 'b' is one of the sides of the triangle, and 'C' is the angle opposite to 'b'. Using the definition of sin C, we know that sin C is equal to the length of the side opposite to angle C (in this case, 'a') divided by the length of the hypotenuse (in this case, 'c'). So, sin C = a/c.

Multiplying both sides of the equation by 'b', we get:

b sin C = b (a/c)

Here, we can see that 'b sin C' is equivalent to the length of the side adjacent to angle C (in this case, 'b') multiplied by the length of the opposite side (in this case, 'a') divided by the length of the hypotenuse (in this case, 'c'). Therefore, we can conclude that in the given diagram, 'bsin C' is equivalent to 'ab/c'.

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Answer:

D) 12 loaves

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.

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The way Odysseus hides himself in the leaves to sleep is compared to the way a burning coal is buried deep in the embers to preserve a spark for the next day.

Odyssey, epic poem in 24 books traditionally attributed to the ancient Greek poet Homer. The poem is the story of Odysseus, king of Ithaca, who wanders for 10 years (although the action of the poem covers only the final six weeks) trying to get home after the Trojan War. On his return, he is recognized only by his faithful dog and a nurse. With the help of his son, Telemachus, Odysseus destroys the insistent suitors of his faithful wife, Penelope, and several of her maids who had fraternized with the suitors and reestablishes himself in his kingdom.

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