Se hace una encuesta en un grupo de 120 personas, preguntando si les gusta leer y ver la televisión. Los resultados son: - A 32 personas les gusta leer y ver la tele. - A 92 personas les gusta leer. - A 47 personas les gusta ver la tele. Si elegimos al azar una de esas personas: a) ¿Cuál es la probabilidad de que no le guste ver la tele? b) ¿Cuál es la probabilidad de que le guste leer, sabiendo que le gusta ver la tele? C) ¿Cuál es la probabilidad de que le guste leer?

The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:5

Step-by-step explanation:

20/4=5

The domain of the function is \((\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2}\) . \(x \ne -\frac 25\)

The attached image represents the complete form of the question

The functions are given as:

\(f(x) = \sqrt[3]{3x}\)

g(x) = 5x + 2

The function (f/g)(x) is calculated using:

\((\frac{f}{g})(x) = \frac{f(x)}{g(x)}\)

This gives

\((\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2}\)

The denominator cannot be 0.

So, we have:

\(5x + 2 \ne 0\)

Solve for x

\(x \ne -\frac 25\)

Hence, the domain of the function is \((\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2}\) . \(x \ne -\frac 25\)

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Answer:

7

Step-by-step explanation:

160 + 3x = 195 - 2x

Collecting like terms together

3x + 2x = 195 - 160

5x = 35

x = 35/5

x = 7

Answer

x=7

Step-by-step explanation

Step 1: Simplify both sides of the equation.

160+3x=195−2x

160+3x=195+−2x

3x+160=−2x+195

Step 2: Add 2x to both sides.

3x+160+2x=−2x+195+2x

5x+160=195

Step 3: Subtract 160 from both sides.

5x+160−160=195−160

5x=35

Step 4: Divide both sides by 5.

5x/5=35/5

x=7

Answer:

Liam ate 5/12 the pizza

Step-by-step explanation:

Answer:

Liam would have eaten 5/12 of the pizza.

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

x = 11.14717238

Step-by-step explanation:

I think it's the second one, 3 1/3

The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.

The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:

1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).

2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).

3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).

The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).

To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.

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Answer:

c. 29.3 cubic mi.

Step-by-step explanation:

Volume of cone: \(\pi\) × r² × \(\frac{h}{3}\)

Volume of cone = \(\pi\) × 2² × \(\frac{7}{3}\)

                           = 9\(\frac{1}{3}\)\(\pi\)

                           = 29.3 cubic mi. (rounded to 3 s.f.)

Answer:

I cant solve number 1 but I can for number 2

Calculate GCF for each

You can learn how to use the prime factorization method to do this

GCF(12, 18, 40, 45) = 1

So I dont get what the problem is because there are no numbers for #2. So either I dont understand the problem or it is a trick question whereas the answer is UNDEFINED/IMPOSSIBLE.

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Answer: Your question doesn't make sense.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The area under the curve r²=50sin2Θ is (15.71)unit square

A parabola is defined as a plane curve that is mirror-symmetrical and approximately U-shaped.

Given:

parabola is r²=50sin 2\(\theta\),

where r=5

So, 5²=50 sin 2\(\theta\),

Simplifying the equation

25=50 sin 2\(\theta\),

sin 2\(\theta\) = 1/2

2\(\theta\) = \(sin^{-1\) 0.5

\(\theta\) = 15 degree.

Now, the Area = 22/7 × 5

Area = 15.71 unit²

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The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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A sample of midterm grade for five students showed the following results: 72.65,82,90,76. Correct statements: (c) Challenged statements: (a), (b), (d), (e)

Let's analyze each statement to determine which ones are correct and which ones should be challenged:

(a) The average midterm grade for the sample of five students is 77.

This statement is incorrect. The average midterm grade for the sample of five students is not provided, so we cannot determine if it is 77 or not.

(b) The average midterm grade for all students who took the exam is 77.

This statement should be challenged as being too general. The average midterm grade for all students who took the exam cannot be determined solely based on the grades of five students.

(c) An estimate of the average midterm grade for all students who took the exam is 77.

This statement is correct. Since the sample of five students is assumed to be representative of the entire student population, we can use the average grade of the sample as an estimate of the average midterm grade for all students who took the exam.

(d) More than half of the students who take the exam will score between 70 and 85.

This statement cannot be determined based on the given information. The grades of only five students are provided, so we cannot make a generalization about the performance of all students who take the exam.

(e) If five other students are included in the sample, their grades will be between 65 and 90.

This statement cannot be determined based on the given information. The grades of only five students are provided,

In summary:

Correct statements: (c)

Challenged statements: (a), (b), (d), (e)

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Answer: 8

Step-by-step explanation: Use pemdas

3[9 - (6-3)] – 10 : Complete parentheses (6-3)

3[9 - 3] - 10 : Complete equation in parentheses

3[6] - 10 : Multiply 3 and 6

18 - 10 = 8

Answer:

8

Step-by-step explanation:

3[9 - (6-3)] – 10

3 [9 - (3)] - 10

3 (6) - 10

18 - 10

8

This problem is about "order of operations."  These are the rules we all agree upon that dictate which order we do mathematical operations.  We use the acronym PEMDAS to help remember them:

P - parentheses first, then:

E - exponents (powers, square roots, etc)

MD - multiplication and division (from left-to-right)

AS - addition and subtraction (from left-to-right)

So there are ten different combinations of two pupils out of five when there are five kids in my class and I want to choose two to treat to lunch.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.

Here,

To determine the number of ways to pick 2 students out of 5 to treat them to lunch, you can use the combination formula, which is given by nCr, where n is the number of items to choose from, r is the number of items to choose, and nCr is the number of combinations of n items taken r at a time. In this case, n = 5 and r = 2, so the number of ways to pick 2 students out of 5 is:

5C2 = 5! / (2! * (5 - 2)!) = 10

So, there are 10 possible combinations of 2 students out of 5 when there are 5 students in my class and I want to pick 2 to treat them to a lunch.

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The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})

List five vectors in Span {v_1, v_2}?

1) V1+v2={8,2,-7 }+{-6,4,0 }

={2,6,-7}

2) 2v1+v2={16,4,-14}+{-6,4,0}

={10,8,-14}

3)2v1+2v2={16,4,-14}+{-12,8,0}

={4,12,-14}

4)V1-v2={8,2,-7}-{-6,4,0}

={14,-2,-7}

5)2v1-v2={16,4,-14}-{-6,4,0}

={22,0,-14}

All of these vectors are contained within the span.

{v1,v2}={av1+bv2:ab∈r}

A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about   Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram       has      20     pens       and       7       pencils,

Rohan    has      15     pens       and       5       pencils,

Yash       has      12     pens       and       3       pencils

Now, this could be arranged in tabular form as follows,
⎢20  7⎢
⎢15   5⎢                            
⎢12   3⎢        

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The probability that at most 3 of the parts are defective is 0.9129 (or approximately 0.91 when rounded to two decimal places).

Let's assume we want to compute the probability that at most 3 of the parts are defective when randomly selecting 10 parts. The probability of a part being defective is 0.13.

1: Calculate the individual probabilities for each possible number of defective parts.

P(X = 0) = (10C0) * (0.13^0) * (0.87^(10-0)) = 0.0870

P(X = 1) = (10C1) * (0.13^1) * (0.87^(10-1)) = 0.2570

P(X = 2) = (10C2) * (0.13^2) * (0.87^(10-2)) = 0.3326

P(X = 3) = (10C3) * (0.13^3) * (0.87^(10-3)) = 0.2363

2: Sum up the individual probabilities to find the probability of at most 3 defective parts.

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0870 + 0.2570 + 0.3326 + 0.2363 = 0.9129

Therefore, the probability is 0.9129.

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a) Not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was = 4.2 inches.

In statistics, the range is the difference between the highest and lowest values for a particular data collection.

For instance, if the provided data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range may alternatively be defined as the difference between the highest and lowest observations.

a) It is not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches based on the information provided.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was 6.2 - 2 = 4.2 inches.

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Answer:

\(c = kw\)

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

\(c\ \alpha\ w\)

Convert to equation.

\(c = kw\)

Where k is the constant of variation

The answer is 400

First, you must flip the equation.

\(120000\) ÷ \(300\) = ?

Then, you must simplify the equation.

\(1200\) ÷ \(3\) = ?

Finally, divide the two terms.

\(1200\) ÷ \(3\) = 400

Answer:

Step-by-step explanation:

No, 1 - 9a is not a solution to y = -9.  

Did you mean (1 - 9a)?  This is not a solution either.

Answer:a) To verify if points P(5, 7) and Q(7, -5) lie on the circle with equation x² + y² = 74, we can substitute the x and y coordinates of each point into the equation and check if it holds true.

For point P(5, 7):

5² + 7² = 25 + 49 = 74

The sum of the squares of the x and y coordinates equals 74, which is the same as the right side of the equation. Therefore, point P lies on the circle.

For point Q(7, -5):

7² + (-5)² = 49 + 25 = 74

The sum of the squares of the x and y coordinates also equals 74, confirming that point Q lies on the circle.

b) To verify if the right bisector of chord PQ passes through the center of the circle, we need to determine the midpoint of chord PQ and compare it to the center of the circle.

Midpoint of chord PQ = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

where (x₁, y₁) are the coordinates of point P and (x₂, y₂) are the coordinates of point Q.

Using the coordinates of P(5, 7) and Q(7, -5):

Midpoint of PQ = [(5 + 7) / 2, (7 + (-5)) / 2]

= [12 / 2, 2 / 2]

= [6, 1]

The midpoint of PQ is (6, 1).

The center of the circle is at the origin (0, 0) since the equation of the circle is x² + y² = 74, which has a radius of √74.

Since the midpoint of PQ (6, 1) is not the same as the center of the circle (0, 0), the right bisector of chord PQ does not pass through the center of the circle.

Step-by-step explanation:

Answer:

15x + 3y = 10. 

Step-by-step explanation:

you have to solve for y. 

isolate the variable. 

15x + 3y = 10 

start by subtracting 15x on both sides. 

3y = -15x +10 

then divide both sides by 3 

y = -15/3x + 10/3 

simplify. 

y = -5x + 10/3 

10/3 can be written as 3.33 

or 3 and 1/3

Answer:

y=5x

Step-by-step explanation:

15x-3y=0

Subtract 15x from both sides

15x-3y-15x=0-15x

Simplify

-3y=-15x

Divide both sides by -3

-3y/-3=-15x/-3

Simplify

y=5x

Have a good day and stay safe!

Approximate ratios: 1.348, 1.342, and 1.345 represent the areas.

When a rectangle is reduced by a scale factor, the lengths of its sides are multiplied by that scale factor. Since the area of a rectangle is calculated by multiplying its length by its width, the area of the reduced rectangle will be the original area multiplied by the square of the scale factor.

In this case, the scale factor is given as 1.161234. To find the ratio of the area of the smaller rectangle to the area of the larger rectangle, we need to calculate the square of the scale factor.

So, the ratio of the area of the smaller rectangle to the area of the larger rectangle is approximately 1.348.

Similarly, you can repeat the process to calculate the ratios for the other given options and select the three ratios that match the calculated values.

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Answer:

C7t

Step-by-step explanation: