The probability that someone is wearing sunglasses and a hat is 0.25 The probability that someone is wearing a hat is 0.4 The probability that someone is wearing sunglasses is 0.5 Using the probability multiplication rule, find the probability that someone is wearing a hat given that they are wearin

Before the drawbridge starts to open, the horizontal component of the friction force f⃗ is zero (0)

The horizontal component of the friction force is the counter force that must overcome the friction force for a body to slide or move.

When the dancer is standing still on the drawbridge, the only force on the dances is the normal force exerted by the bridge. Thus, the horizontal frictional force acting on the dancer

This is given by:

\(f_{horizontal} =0\)

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From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.

The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.

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Answer:

Step-by-step explanation:

I attached a picture below of what this situation looks like. As you can see, it is a right triangle problem. In order to solve for the speed of the boat, we first need to find out the difference between his distances when the angle is 60 and when it is 45. That's the same thing as finding x and y then subtracting. To find x:

\(sin60=\frac{200}x}\) so

x = 231 meters (I rounded to the nearest whole numbers in this problem.

To find y:

\(sin45=\frac{200}{231+y}\) so

\(y=\frac{200}{sin45}-231\) and

y = 52.

The distance between the angles 60 and 45 as 52 meters, and it took him 2 minutes to travel that 52 meters. Assuming that his rate doesn't change, he can travel 52/2 meters per minute, or 26 meters per minute.

Answer:

y = 3x + 1

Step-by-step explanation:

The correct standard form of the equation of the parabola is y = 1/4(x - 2)² - 5.

In Mathematics, the standard form of the equation of the directrix lines for any parabola is given by this mathematical expression:

y = a(x - h)² + k.

Where:

Since the directrix is horizontal, the axis of symmetry would be vertical. Based on the graph, we have the following points;

directrix y = -6

Vertex (h, k) = (2, -5)

Focus (h, k + 1/4a) = (2, -4)

k + 1/4a = -4

-5 + 1/4a = -4

1/4a = 1

a = 1/4.

Therefore, the quadratic function (equation) for this parabola is given by;

y = a(x - h)² + k.

y = 1/4(x - 2)² + (-5).

y = 1/4(x - 2)² - 5

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The correct option is B. The complete collection of all elements, individuals, measurements, scores, or other entities that are of interest and relevant to a particular study or analysis is called the population.

A collection is a group of items that have been gathered or accumulated together based on a particular theme or purpose. Collections can be made up of physical objects such as books, stamps, coins, or artwork, as well as digital items like photos, music, or videos. Collections can also refer to data structures in computer programming that hold groups of related items.

People often collect items as a hobby or passion, and the act of collecting can bring a sense of fulfillment, enjoyment, and satisfaction. Collections can have both sentimental and monetary value, and they may be displayed in personal or public settings, such as museums or galleries. The process of collecting often involves researching and acquiring new items, as well as organizing and preserving the existing collection.

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Answers and Step-by-step explanations:

Question 1:

I'm sorry, for this question I am not 100% sure that this answer is correct, but I am going to go with "standard form." I chose this answer because standard form tends to be one of the most easiest methods to use when it comes to graphing, besides the slope intercept form of "y=mx+b." Standard form is also one of the most useful forms to use when finding intercepts, which in this case the question is mentioning the x-intercept.

Question 2:

So for this question, it is asking you about translations on graphs. When a line is translated units away from another line, it means that it is typically the same line just moved an amount of units over.

(I have included the graphs in the attachment. The red line represents the first equation given, and the blue line represents the second equation that was translated up.)

The graph shows that the second (blue) line was translated 3 units up.

I hope that this helps.

Answer:

0.31

Step-by-step explanation:

Given that :

Total number surveyed = 500

Percentage who are afraid of flying = 31%

Decimal which represents number of people who are afraid of flying :

Converting 31% into decimal form:

31 / 100

= 0.31

Hence 0.31 of the people surveyed were afraid of flying

Answer:

x = -1/4

Step-by-step explanation:

to solve for x, you can add or subtract the same thing from both sides of the equation so you get x by itself on one side.

if you start with

x + 3/4 = 1/2

you can subtract 3/4 from both sides to get rid of it on the x side

x + 3/4 - 3/4 = 1/2 - 3/4

x = 1/2 - 3/4

x = -1/4

Hello and Good Morning/Afternoon:

To find the slope of something:

  ⇒ let's consider what the formula of the slope needs

               \(\frac{y_2-y_1}{x_2-x_1}\)

      ⇒ needs any two points on the line (x₁,y₁) and (x₂,y₂)

Let's get the required information:

Let's solve:

  \(Slope = \frac{2-0}{5-0} =\frac{2}{5}\)

Answer: 2/5

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Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9

Answer:

The denominator of \( \frac{g}{h} \) is h and Numerator is g.

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

758

Step-by-step explanation:

The largest number that can be made is 875 but it ends in 5 which makes it an odd number.

The only even number is 8 so we have to use it last.

7 is bigger than 5 so 7 goes first which means it's 758

The formula to calculate the volume of a sphere is:

Start by finding the radius using the diameter and dividing it by 2

then, replace the radius in the formula and find the volume

The solution Jada seeks does not require any algebra but can be solved to give; x = 22.

When solving the given equation;

The solution of the equation can be obtained by subtracting 6 from both sides of the equation so that we have;

Therefore, the value of x is; 22

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There are 56 different ways to choose 5 books from this collection.

In this case, we have 8 subjects from which we need to choose 5 books. Since there are at least 5 copies of each book, we can assume that we have enough copies of each subject to choose from. The formula for combinations is nCr = n! / (r!(n-r)!), where n represents the total number of subjects and r represents the number of books to be chosen.  

In our case, n = 8 and r = 5.

Plugging these values into the formula, we get 8! / (5!(8-5)!) = 8! / (5!3!).

Simplifying further, we get (8 * 7 * 6) / (3 * 2 * 1) = 56.

Therefore, there are 56 different ways to choose 5 books from this collection.

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Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

So, the probability that Gail draws a blue marble is 0.62 or 62%.

To find the probability of drawing a blue marble, we need to determine the ratio of the number of blue marbles to the total number of marbles in the bag.

In this case, there are 31 blue marbles out of a total of 50 marbles. Therefore, the probability of drawing a blue marble is:

P(Blue) = Number of blue marbles / Total number of marbles

= 31 / 50

Simplifying the fraction, we get:

P(Blue) = 0.62

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Answer:

Rs 85

Step-by-step explanation:

Cost of 5kgs of rice = Rs 425

Cost of 1 kg of rice = 425/5

= Rs 85

So, the cost of a kg of rice is Rs 85

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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There are 5 adults and 15 children in the group.

Let's solve the system of equations to determine the number of adults and children in the group.

From the first equation, we have a + c = 20. We can rearrange it to a = 20 - c.

Substituting this value of a into the second equation, we have 40(20 - c) + 20c = 500.

Simplifying this equation, we get 800 - 40c + 20c = 500.

Combining like terms, we have -20c = -300.

Dividing both sides by -20, we get c = 15.

Substituting this value of c back into the first equation, we have a + 15 = 20, which gives us a = 5.

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Answer:

39 feet

Step-by-step explanation:

The equation of the path of the book is an upside down parabola.

We can find the x-coordinate of the vertical axis.

The x-coordinate of the maximum point is

x = -b/2a

for a parabola written in the following form

f(x) = ax² + bx + c

We have -16t² + 24t + 30, so we have

a = -16

b = 24

c = 30

t = -b/2a = -24/(2 × (-16)) = -24/(-32) = 0.75

The maximum height occurs at time = 0.75 seconds.

Now we plug in the time into the equation to find the maximum height.

h(x) = -16t² + 24t + 30

h(0.75) = -16(0.75)² + 24(0.75) + 30

h(0.75) = -9 + 18 + 30

h(0.75) = 39

Answer: 39 feet

Answer:

(-8) + (-8) + (-8) + (-8)

Step-by-step explanation:

Since Yan is descending ; we represent his movement as being negative.

Number of rungs descended before stopping = 4

Number of stops = 8

Given that no extra steps was taken ;

Number of ladder rungs descended :

4 rungs per stop for 8 stops

- 4 * 8 = - 32 rungs

Another way to write the product :

Number of stops added in number of rungs descended :

(-8) + (-8) + (-8) + (-8)

We can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

We can use the standard normal distribution to solve this problem.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the normal distribution of the tensile strength to the standard normal distribution using the formula below.z = (x - μ) / σwhere x is the tensile strength, μ is the mean, and σ is the standard deviation.

a) To determine the number of parts that are expected to fail to meet a minimum specification limit of 35 lb tensile strength, we need to find the probability that a part has a tensile strength less than 35 lb. z = (35 - 40) / 5 = -1P(z < -1) = 0.1587

The probability of a part having a tensile strength of less than 35 lb is 0.1587. Therefore, the number of parts expected to fail to meet a minimum specification limit of 35 lb tensile strength is given by: Number of parts = Probability × Total number of parts= 0.1587 × 50,000= 7935b)

(b) To determine the number of parts that have a tensile strength over 48 lb, we need to find the probability that a part has a tensile strength greater than 48 lb. z = (48 - 40) / 5 = 1.6P(z > 1.6) = 0.0548

The probability of a part having a tensile strength greater than 48 lb is 0.0548. Therefore, the number of parts that have a tensile strength over 48 lb is given by: Number of parts = Probability × Total number of parts= 0.0548 × 50,000= 2740

Therefore, we can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

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Answer:

x = 2.52

Step-by-step explanation:

30.16 = 17.56 + 5x

30.16 - 17.56 = 5x

12.6 = 5x

12.6/5 = 5x/5

2.52 = x

In linear equation, 24.9  tall is the tree .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

We can set up a proportion comparing the height of each object to the length of the shadow.

     h/15 = 21.1/12.7

     h = 1.66 * 15  

   h   = 24.9

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