Helen flips a coin and rolls a dice calculate the probability of getting 4 and tails

Answer:

y = 8x-19

Step-by-step explanation:

The first step is to find the slope.

m= ( y2-y1)/(x2-x1)

  = ( 13-5)/(4-3)

   = 8/1

  = 8

Then we can use the slope intercept formula.

y = mx+b

y = 8x+b

Substitute a point to find the intercept.

5 = 8*3+b

5 = 24+b

-19 = b

The formula is

y = 8x-19

Answer:

y = 8x - 19

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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 5 ) and (x₂, y₂ ) = (4, 13 )

m = [tex]\frac{13-5}{4-3}[/tex] = [tex]\frac{8}{1}[/tex] = 8 , then

y = 8x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 5 )

5 = 8(3) + c = 24 + c ( subtract 24 from both sides )

- 19 = c

y = 8x - 19 ← equation of line

The approximate circumference of Spaceship Earth is approximately 138.02 meters.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

The volume of the sphere is given as:

V = (4/3)πr³

Substituting the values:

[tex]r = (3(65,417)/4(3.14))^{(1/3)} = 21.96 meters[/tex]

The circumference of the circle is:

C = 2πr

Substituting the value of r:

C = 2(3.14)(21.96) = 138.02 meters

Hence, the approximate circumference of Spaceship Earth is approximately 138.02 meters.

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The year that saw 164 billion dollars being spent on advertising, given the function for the advertising would be c. 1994

The dimensions of the rectangle, given the area of the rectangle would be:

The function is given by y = 0.93x² + 2.2x + 130, where y is the amount of money spent (in billions of dollars) and x is the number of years since 1990. We need to find the value of x when y = 164.

164 = 0.93x² + 2.2x + 130

0.93x² + 2.2x + 130 - 164 = 0

0.93x² + 2.2x - 34 = 0

x = 2.5

Now, we'll find the year by adding the value of x to 1990:

Year = 1990 + 2.5 = 1992.5

= 1994 which is the closest year in options

The area of the rectangle is given by:

Area = width × length

91 = (x + 2)(2x + 3)

91 = 2x² + 3x + 4x + 6

91 = 2x² + 7x + 6

2x² + 7x - 85 = 0

When solved differently:
x = 4.9

x = -3.5

Using the positive values:

Width = x + 2 ≈ 4.9 + 2 = 6.9 meters

Length = 2x + 3 ≈ 2(4.9) + 3 ≈ 9.8 + 3 = 12.8 meters

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It is important to understand that the force of gravity acting on an object does not violate Newton's second law. It is an external force that acts on an object and produces an acceleration in it. Therefore, the acceleration due to gravity does not violate Newton's second law.

According to the Newton's second law, a force acting on a body of mass m produces an acceleration a in the body which is directly proportional to the force and inversely proportional to the mass. For instance, If a body of mass m is acted upon by a force F, then the acceleration produced in the body is given by F/m.As per the law, a larger force will produce a larger acceleration in the object.

When a body falls under gravity, it is said to experience weight. The weight of an object is the force of gravity acting on the object. According to Newton's law of gravitation, every object attracts every other object with a force proportional to their masses and inversely proportional to the square of their distance. In general, the weight of an object can be given by the formula weight = mass x acceleration due to gravity.

Therefore, as the acceleration due to gravity is the same for all objects, the weight of an object is proportional to its mass. It implies that a heavier object has more weight, while a lighter object has less weight.As per the above facts, a heavier object would require a larger force to move it than a lighter object. However, when they fall under gravity, both objects fall at the same rate. It appears as a contradiction, but the reason for it is the difference between weight and mass.

The mass of an object is a measure of the amount of matter in it, while the weight of an object is the force exerted on it by gravity.The acceleration produced in an object by an external force is not the same as the acceleration due to gravity. A force F produces an acceleration F/m, whereas the acceleration due to gravity is the same for all objects.

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Answer:

x = 7 square root 84

OR

x = 1.88320258...

Step-by-step explanation:

Answer:

[tex]x=\sqrt[7]{84}[/tex]

Step-by-step explanation:

1) Take the 7th root of both sides.

[tex]x=\sqrt[7]{84}[/tex]

Check the answer:

[tex]x^7=84[/tex]

1) let x = ^7sqrt84

(^7sqrt84)^7 = 84

2) use this rule: ^7sqrtx^7 = x.

84=84

The given inequality is [tex]|x-3|/11 \geq 1[/tex]and the solution to the inequality is [tex]x \leq -8[/tex] or [tex]x \geq 14.[/tex]

We want to solve for [tex]x[/tex], which means we want to find all possible values of [tex]x[/tex] that satisfy the inequality.

To start, we multiply both sides of the inequality by 11, which gives us:

[tex]| x - 3 | \geq 11[/tex]

Now we have an inequality without any fractions. The absolute value sign means that we need to consider two cases: one where [tex]x-3[/tex] is positive, and one where [tex]x-3[/tex] is negative.

Case 1: [tex]x-3[/tex] is positive

If [tex]x-3[/tex] is positive, then [tex]| x - 3 |[/tex] is equal to [tex]x-3[/tex]. So we can rewrite the inequality as:

[tex]x - 3 \geq 11[/tex]

Adding 3 to both sides, we get:

[tex]x \geq 14[/tex]

This means that if [tex]x[/tex] is greater than or equal to 14, then the inequality is satisfied.

Case 2: [tex]x-3[/tex] is negative

If [tex]x-3[/tex] is negative, then [tex]| x - 3 |[/tex] is equal to [tex]-(x - 3)[/tex]. So we can rewrite the inequality as:

[tex]-(x - 3) \geq 11[/tex]

Multiplying both sides by -1, we get:

[tex]x - 3 \leq -11[/tex]

Adding 3 to both sides, we get:

[tex]x \leq -8[/tex]

This means that if [tex]x[/tex] is less than or equal to -8, then the inequality is satisfied.

Putting these two cases together, we get:

[tex]x \leq -8[/tex] or [tex]x \geq 14[/tex]

These are all the possible values of [tex]x[/tex] that satisfy the inequality.

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The complete question is:

Solve the equation: | x - 3 | / 11 ≥ 11 and determine the type of solution.

There were initially 4 million bacteria in the culture.

To determine the initial number of bacteria in the culture, we can follow these steps:

Step 1: Identify the given data.
At the end of 6 hours, there are 5 million bacteria.
At the end of 9 hours, there are 8 million bacteria.

Step 2: Find the rate of bacterial growth.
Since the number of bacteria increased by 3 million (8 million - 5 million) over 3 hours (9 hours - 6 hours), the rate of bacterial growth is 1 million per hour (3 million ÷ 3 hours).

Step 3: Calculate the initial number of bacteria.
The number of bacteria increased by 5 million over the 6 hours. Therefore, if we divide this number by the rate of growth, we can determine the initial number of bacteria. Divide 5 million by 1 million per hour, which results in 5 hours.

Step 4: Subtract the time from the initial time.
Since we know that the culture was growing for 5 hours before reaching 5 million, we can subtract 5 hours from 6 hours, which equals 1 hour.

Step 5: Calculate the initial number of bacteria at 1 hour.
Since the bacteria grow at a rate of 1 million per hour, at the end of the 1st hour, there would be 1 million bacteria. Subtracting this number from the 5 million at the end of 6 hours will give us the initial number of bacteria: 5 million - 1 million = 4 million bacteria.

So, there were initially 4 million bacteria in the culture.

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The probability that the 100 orders can be filled without reordering components, if the manufacturer stocks 105 components is 1, or 100%.

The probability of being able to fill 100 orders without reordering components depends on the total number of components stocked. If the manufacturer stocks 105 components, then the probability of being able to fill 100 orders without reordering components is 1. Since 105 is greater than or equal to 100, the probability of being able to fill the orders without reordering components is 1 (100%).

Mathematically, this can be expressed as P(Filling 100 orders) = 1, where P stands for probability, and Filling 100 orders stands for the event of being able to fill 100 orders without reordering components.

This is because, if the manufacturer stocks 105 components, then they have enough components to fulfill the 100 orders without reordering components. So, the probability of being able to fulfill the orders without reordering components is 100%, or 1.

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The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37%.

The probability that a haphazardly chosen vagrant pet in a creature covered in Austin is a canine is 11.71%.

The probability that a haphazardly chosen stranded canine in a similar creature cover in Austin is a Chihuahua is 29.37% .

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71/3.44 = .2937

.2937 = 29.37%

Probability is just the way that logical something is to occur.

Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions represented by probability is called statistics.

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The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.

The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is calculated using the following equation:

P(4 red balls) = (6C4) × (3C2) × (8C0)/(17C6)

Where C denotes the combination and the denominator represents the total possible outcomes.

In this case, the numerator consists of three parts, the first being the combination of four red balls from the first urn (6C4) where 6 represents the total number of red balls, and 4 represents the number of red balls chosen. The second part is the combination of two brown balls from the second urn (3C2) where 3 is the total number of brown balls, and 2 is the number of brown balls chosen. The last part is the combination of zero purple balls from the third urn (8C0) where 8 is the total number of purple balls and 0 is the number of purple balls chosen.

Finally, the denominator represents the total number of possible outcomes when drawing 6 balls from 17 balls (17C6) where 17 is the total number of balls, and 6 is the total number of balls drawn.

The probability of drawing four red balls is 0.3147 or 31.47%.

Therefore, the probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.

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The statement that could be true for h for given function is Option C  h(2) = 16 is correct.

The set of all potential values for the independent variable (typically designated as x) for which the function is specified is known as the domain of a function. In other terms, it refers to the entire set of input values for which a function returns a result.

We can state that for any value of x between -3 and 11, the corresponding value of h(x) will be between 1 and 25 because the function h has a domain of -3 x 11 and a range of 1 h(x) 25.

Indicates that the function h is not fixed and that its values change depending on the value of x.

Now, evaluate your options:

Option A h(-3) = -1 - This statement is false because the range of h(x) is stated to be between 1 and 25, so h(-3) cannot be less than 1.

OptionB h(13) = 18 - This statement cannot be true because h(x) is specified to have a range between -3 and 11, so h(13) is not defined.

OptionC h(2) = 16 - The statement may be accurate given that the value of h(x) for any x between -3 and 11 could range from 1 to 25, and there is no evidence to the contrary.

OptionD h(8) = 21 - Since we know that h(8) = 19, this assertion is false.

Therefore, the statement that could be true for h is: h(2) = 16

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I don't know but i can help a little

Step-by-step explanation:

But If the slops are the same and the y-intercepts are different, the lines are parallel...

The given probability is 0.37 which is the probability of a supply container dropped from an aircraft by a parachute hitting a target. So the expected number of container drops needed to hit a target is approximately 2.7027.

       To find out the expected number of container drops needed to hit a target, we can use the formula given below;            

                      E(X) = (1/p) E(X)

                             = (1/0.37)E(X)

                             = 2.7027

          Thus, the expected number of container drops needed to hit a target is approximately 2.7027.

An expected value is a statistical concept that represents the theoretical average value of a random variable. It is represented as E(X).

            The expected value is calculated by multiplying each possible value of the random variable by its probability and then adding all of the products.

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Answer:

1. I don't know

2. 10

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2} } = \sqrt{6^{2}+8^{2} } = \sqrt{36+64} = \sqrt{100} = 10[/tex]

Every student may take on any part, and no student may take on more than one role. Hence, it is feasible to have 45 different casts.

In contrast, there are various techniques to select r things from a set of n objects and arrange these r objects in permutations.

The permutations formula itself states that selection should come first (nCr), followed by arrangement (r).

the given :

10 students are working on a skit,

2 different roles. each role can be played by anyone

n = 10

r = 2

nPr = nCr x r!

nCr = n!/r!(n-r)!

so,

nCr = 10!/2!(10-2)!

nCr = 10x9/2x1

nCr = 45

so, the 45 different casts are possible

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Answer:

331/2

Step-by-step explanation:

5 1/2= 11/2

3 1/2 = 7/2

11/2x7/2x6=115 1/2 = 331/2

Answer:

115.5 cm^3

Step-by-step explanation:

Volume=LengthxWidthxHeight

The values from the diagram are 3.5, 6, and 5.5

Multiply!

3.5x6x5.5=115.5

The distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.

What is a skewed distribution?

A skewed distribution is one in which the data is not uniformly distributed but rather concentrated on one side. In simple words, a skewed distribution is one in which one tail has a greater number of observations than the other tail, with the majority of data falling in the tail with the greater number of observations.

In a symmetric distribution, the data is uniformly distributed on both sides of the median, with half of the data lying to the right and half to the left.

Thus, the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.

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The answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.

What is proportion?

Proportion is a mathematical concept that describes the equality of two ratios. In other words, it is a statement that two ratios or fractions are equal.

To determine if the equation y = x/5 represents a proportional relationship, we need to check if there is a constant of proportionality between y and x.

If there is a constant of proportionality, then we can write y = kx, where k is the constant of proportionality. In other words, the ratio of y to x is always the same constant value.

To find the constant of proportionality for the equation y = x/5, we can rearrange the equation as:

y/x = 1/5

This means that the ratio of y to x is always 1/5. Therefore, there is a constant of proportionality, which is 1/5.

So, the equation y = x/5 represents a proportional relationship, and the constant of proportionality is 1/5.

Therefore, the answer is k = 1/5, which represents the constant of proportionality between y and x in the equation y = x/5.

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Answer:

B.

Step-by-step explanation:

I just took the test

Based on the information, we can infer that the whole number equivalent to this fraction is 285.

To clear the fraction and obtain an integer we must perform all the mathematical operations that are in the fraction, in this case it is a division and seven multiplications. Here we show you the result:

As evidenced in the procedure, the multiplications were cleared and later the fraction was divided. In this case the result would be the integer 285.

Note: This question is incomplete. Here is the complete information:

How to express this fraction in whole numbers?

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Answer:22

Step-by-step explanation:

h + i3 = ?

19 + 1X3 = 22

Answer:

h + i3 = 22

Step-by-step explanation:

Given expression,

→ h + i3

→ h + 3(i)

Now we have to use,

→ i = 1

→ h = 19

Let's simplify the expression,

→ h + 3(i)

→ 19 + 3(1)

→ 19 + 3

→ 22 => {final answer}

Hence, the solution is 22.

The box and whisker plot can be created by :

Minimum value - 6

Maximum Value - 15

Median - 10

Quartiles - Q1 - 7.5, Q2 - 10, Q3 - 13.5

To create a box and whisker plot for the given data set {6,7,7,8,9,10,10,10,10,13,13,14,14,15,15}, we need to first find the minimum value, maximum value, median, and quartiles.

Minimum value: 6

Maximum value: 15

Median: To find the median, we need to first arrange the data set in ascending order:

6,7,7,8,9,10,10,10,10,13,13,14,14,15,15

The median is the middle value in the data set, which is 10.

Quartiles: To find the quartiles, we need to divide the data set into four equal parts.

First quartile (Q1): The first quartile is the median of the lower half of the data set. In our case, the lower half of the data set is:

6,7,7,8,9,10

The median of this set is (7+8)/2 = 7.5.

Second quartile (Q2): The second quartile is the median of the entire data set, which we already found to be 10.

Third quartile (Q3): The third quartile is the median of the upper half of the data set. In our case, the upper half of the data set is:

10,10,10,10,13,13,14,14,15,15

The median of this set is (13+14)/2 = 13.5.

Now, we can use the above information to create the box and whisker plot.

The horizontal line inside the box represents the median (10). The bottom of the box represents the first quartile (7.5), and the top of the box represents the third quartile (13.5). The whiskers extend from the box to the minimum value (6) and maximum value (15).

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560

1) PEMDAS so 2+14=16

2)55/11=5

3)5x7=35

4)35(16)=560

The surface area is

[tex]2(5\times4)+2(5\times2)+2(4\times2)=[/tex]

[tex]40+20+16=[/tex]

76 square yards

Answer:

The surface area of the prism.

5 yd, 4 yd, 2 yd

Step-by-step explanation:

You're welcome.

At exactly 2:00, the distance between the tips of the two hands is changing at the rate of 4 cm/min.Therefore, at exactly 2:00, the distance between the tips of the two hands is changing at the rate of [tex]2\sqrt{13}[/tex] cm/min.

The phrase "at exactly 2:00" means that at 2:00:00, the hour hand and the minute hand overlap. Both hands are together pointing upwards in the vertical direction. At this moment, the angle between the minute hand and the hour hand is 0 degrees.How do we determine the rate of change of the distance between the tips of the two hands?We start by calculating the angle between the two hands. The angle is given by:

θ(t) = 30h - 11/2m

where h is the number of hours past midnight and m is the number of minutes past the most recent hour. At exactly 2:00, h = 2 and m = 0. Thus:

θ(t) = 30(2) - 11/2(0) = 60 degrees

Next, we use the formula for the distance between two points (the tips of the two hands). Let the hour hand be at the point (0,0) and let the minute hand be at the point (x,y).

The distance between the two points is given by:

[tex]d(t) = \sqrt{(x^2 + y^2)}[/tex]

To find x and y, we use the formulas:

x(t) = r cos θ(t)y(t) = r sin θ(t)

where r is the length of each hand. At exactly 2:00:

[tex]r = 4 cmx(t) = 4 cos 60 = 2 my(t) = 4 sin 60 = 2\sqrt{(3) m}[/tex]

Therefore: [tex]d(t) = \sqrt{(x^2 + y^2)}  = \sqrt{(2 m)^2 + (2sqrt(3) m)^2)}  = 2\sqrt{(13) m}[/tex]

Finally, we differentiate with respect to time t to find the rate of change of [tex]d(t):d'(t) = 2\sqrt{13}[/tex] cm/min

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Therefore , the solution of the given problem of function comes out to be  this equation has a single value for x = 4.5 .

The midterm test questions will cover all of the topics, including actual as well as fictitious locations and arithmetic variable design. a diagram showing the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox has a particular spot that might be used as a haven.

Here,

A linear function is represented by the equation:

=> 4x - 3 = 15

The formula for this equation is y = mx plus b, where m denotes the slope and b the y-intercept:

=> 4x - 3 = 15

=> 4x = 18

=> x = 4.5

As a result, this equation has a single value for x as its solution, indicating that it reflects a linear function.

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The value of x in the given linear equation of 4x = 28 is determined as 7.

To find the value of x in the linear equation 4x = 28, we need to isolate x on one side of the equation.

We can do this by dividing both sides of the equation by 4:

4x/4 = 28/4

Simplifying:

x = 7

Thus, identify the equation and the variable: In this case, the equation is 4x = 28, and the variable we want to solve for is x. Also simplify the linear equation by dividing both sides by 4, we get x = 7, which is the solution.

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The complete question is below:

4x = 28

find the value of x

Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

What is average ?

Average, also known as mean, is a statistical measure that represents the central value of a dataset. It is calculated by adding up all the values in the dataset and dividing by the total number of values. The average can be used to provide a general idea of the value of the dataset and to compare different datasets. There are different types of averages, including arithmetic mean, geometric mean, and median.

According to the question:
To find out how many cars Martin will have to wash each month on average, we need to first find out how many weeks there are in a year:

52 weeks/year

Then we can use this information to calculate how many cars Martin will have to wash each week:

1,200 cars/year ÷ 52 weeks/year = 23.08 cars/week

Since Martin cannot wash a fraction of a car, he will have to round up to 24 cars/week.

Finally, we can calculate how many cars Martin will have to wash each month on average:

24 cars/week x 4 weeks/month = 96 cars/month

Therefore, Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

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Law of Cosines Of A Triangle -GIVEN: C (the degree) 20, 22,18 (the base). C is 26.5 degrees.

To solve for the angle C using the law of cosines, we use the formula:

[tex]c^2 = a^2 + b^2[/tex] - 2ab cos(C)

where c is the angle C's opposite side.

Substituting the given values, we get:

[tex]18^2 = 20^2 + 22^2[/tex] - 2(20)(22)cos(C)

324 = 1048 - 880cos(C)

880cos(C) = 724

cos(C) = 724/880

C = [tex]cos^{(-1)}[/tex](724/880)

C ≈ 26.5 degrees

Therefore, the measure of angle C is approximately 26.5 degrees.

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