Select the best real-world situation that can be represented by 12 + c = 13. 50

Answer:24%

Step-by-step explanation:

Answer:

f(x)=(x-1)^2+3

Step-by-step explanation:

Both equations vertexes equal (1, 3) while the rest do not match.

f(x) = (x - 1)² + 3 function in vertex form is equivalent to f(x) = 4 + x² - 2x.

We can use the technique of completing the square to rewrite the given function f(x) in vertex form.

f(x) = 4 + x² - 2x

f(x) = (x² - 2x) + 4

Adding and subtracting (1) inside the parentheses

f(x) = (x² - 2x + 1) + 4 - 1

f(x) = (x - 1)² + 3

So, the equivalent function in vertex form is f(x) = (x - 1)² + 3.

Therefore, the correct option is f(x) = (x - 1)² + 3.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

The distribution of the maximum temperature in Muscat city based on the given data is positively skewed. The correct option is c.

The distribution of the maximum temperature in Muscat city based on the given data is positively skewed. When a dataset's mean is higher than the median, this is known as a positively skewed distribution. It indicates that there are more lower values than upper values in the dataset.The mean, median, and mode are examples of measures of central tendency. A summary of the measure of central tendency of the annual maximum temperature in Muscat city for the last ten years since 2011 is required as it gives a clear overview of the dataset's central tendency, this is an important statistical summary.

The mean, median, and mode are the three most popular measures of central tendency. The mean is the average of all the data points in a dataset. It's calculated by adding up all the values in the dataset and then dividing by the number of data points.The median is the middle number in a dataset when it's sorted from lowest to highest. If there are two middle numbers, the median is the average of the two.Therefore, the distribution of the maximum temperature in Muscat city based on the given data is positively skewed, as there are more lower values than upper values in the dataset.

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Answer:

51 degrees

Step-by-step explanation:

angle 1 is 104 and angle 3 is 25

add those and u get 129

it has to all equal 180 so...

180-129 is 51

A standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.

The probability is calculated by dividing the total number of outcomes by the total number of events.

Odds and probability are two different concepts.

Divide the probability of an event occurring by the probability that it won't happen to calculate chances.

The four main types of probability that mathematicians study are axiomatic, classical, empirical, and subjective.

So, the probability that a standard normal random variable will occur with a probability ranging from 0.3 to 3.2 must therefore be calculated.

First, a mean and standard deviation are introduced for a standard normal random variable.

The probability that a standard normal random variable will fall between 0.3 and 3.2 needs to be calculated.

Therefore, it should be more likely that:

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

Using the usual value of z:

P(0.3<z<3.2)=0.9993−0.6179

Justify by saying:

P(0.3<z<3.2)=0.3814

Therefore, a standard normal random variable has a 0.3814 percent chance of falling between 0.3 and 3.2, according to the z table.

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It's impossible to say Sean should base his decision on the marginal cost and marginal benefit of creating another table. The marginal cost of making a table is not the same as the average cost of making a table. As a result, there is insufficient information to determine what Sean should do.

The opportunity cost of an activity is the value of what must be sacrificed in order to engage in the activity (plus the cost). A cost that cannot be recovered at the time a decision must be made.

The science of decision-making is often used as a crude definition of economics. This stems from the fact that economics is frequently concerned with making the best decision in the most efficient manner. One way to quantify this is to consider total costs and total benefits.

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Answer:

b) tiene la mayor frecuencia

Step-by-step explanation:

Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.

Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.

For some married couples, retirement alters the longstanding distribution of roles and responsibilities within their relationship.

This is because retirement often marks a significant transition in the couple's lives, where they move from a structured work routine to a more flexible and unstructured lifestyle. This can lead to changes in the way each partner contributes to the household, both financially and domestically. For instance, one partner may have been the primary breadwinner during their working years, while the other took care of the home and children. However, when retirement comes around, the roles may shift, and the other partner may become more financially responsible, or they may take on a more active role in household chores and caregiving. In some cases, both partners may retire at the same time, which can further disrupt the established distribution of roles and responsibilities. Retirement can also bring about changes in the couple's social dynamics. For example, one partner may be more inclined to socialize and attend events, while the other may prefer to stay at home. This can create a mismatch in expectations and can lead to feelings of isolation or resentment. In conclusion, retirement can have a profound impact on a married couple's relationship. It can lead to changes in the distribution of roles and responsibilities, as well as in social dynamics. It is important for couples to communicate openly and honestly about their expectations and to work together to navigate these changes successfully.

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Answer: 8

Step-by-step explanation: If we can define $ as k$, this would mean /frac32 would be K+($6). So, the answer is 8

Probability you or your friends win is  0.003285714  

probability neither wins is 0.996714286

Probability that you or your friend win the lottery:

You bought 15 tickets and your friend bought 100 tickets, so together you bought 115 tickets. There's only one winning ticket out of 35,000 tickets. Therefore, the probability that either you or your friend wins is the number of tickets you two have combined (115) divided by the total number of tickets (35,000).

P(you or your friend win the lottery) = 115 / 35,000 = 0.003285714 (approximately).

Probability that neither of you win the lottery:

The event that neither of you win the lottery is the complement to the event that either you or your friend wins. The sum of the probabilities of an event and its complement is always 1. Therefore, the probability that neither of you win the lottery is 1 minus the probability that either you or your friend wins.

P(neither of you win the lottery) = 1 - P(you or your friend win the lottery)

= 1 - 0.003285714

= 0.996714286 (approximately).

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The function f(x) = 6 - x^2 is defined for all real numbers. Its domain is the set of all real numbers, and its range is the set of all real numbers less than or equal to 6.

The function f(x) = 6 - x^2 is a quadratic function. The graph of this function is a downward-opening parabola with its vertex at the point (0, 6). As x increases or decreases, the function values decrease, reaching a minimum value of -∞ when x is infinitely large or infinitely small.

Since the function is defined for all real numbers, its domain is (-∞, +∞). The range of the function is the set of all real numbers less than or equal to 6, as the function values range from 6 at x = 0 to negative infinity as x approaches positive or negative infinity.

Graphically, the function f(x) = 6 - x^2 can be represented as a curve that starts at (0, 6), reaches its maximum point, and then decreases indefinitely as x moves away from zero in either direction.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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Answer:

Step-by-step explanation:

Let's say that after the break, the group of friends watches m minutes of the movie.

We know that they watched 42 minutes before the break, so the total time they have watched before and after the break is 42 + m minutes.

Since the movie is 115 minutes long, the inequality that represents the number of minutes they will watch after the break is:

42 + m < 115

So, the inequality that represents the number of minutes, m, they will watch after the break is:

m < 115 - 42 = 73

This means that m has to be less than 73 for the group of friends to finish watching the movie.

Answer:

Each girl earned 2 points

Each boy earned 5 points

Step-by-step explanation:

Let x represent the number of points one girl earned

Let y represent the number of points one boy earned

4x + 2y = 28

4x - 2y = 12

8y = 40

y = 5 points

4x + (2)(5) = 28

4x + 20 = 28

4x = 8

x = 2 points

Each girl earned 2 points

Each boy earned 5 points

We have to construct a triangle DEF with EF = 7 cm. It is given that we have to make an angle of 50⁰ at E and at F.

Steps to make a triangle DEF:

Step 1: Draw a line segment EF equal to 7 cm, using a ruler.

Step 2: Put the center of the protractor on the one end of the line segment that is at E and make the given angle that is 50⁰.

Step 3: Make the angle of 50⁰ at F by using protractor.

Step 4: Extend the line from E and F in the direction of 50⁰. After extending the line segments, we get an intersection point, name that point D..

Step 5: The point D, is made from the intersection of the line segment from E and F.

Step 6: Hence, triangle DEF is constructed.

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Answer:

6

Step-by-step explanation:

Answer: Choice B. Dependent; probabilities are not equal

P(picky) = 34%

P(picky | cat) = 44%

This is a vertical bar separating "picky" and "cat". It is not an uppercase letter i or lowercase letter L.

=================================================

Explanation:

There are 17 total picky eaters out of 50 pets total. The probability of randomly choosing a picky eater is

P(picky) = 17/50 = 0.34 = 34%

The notation P(picky | cat) translates to "probability of getting a picky eater given the pet is a cat". In other words, we have prior knowledge the pet is a cat. So we only focus on the cat row. We have 11 picky cats out of 25 cats total. This means

P(picky | cat) = 11/25 = 0.44 = 44%

Notice how this result is different from 34% found earlier. The fact that we have prior knowledge the pet selected is a cat changes the probability of P(picky). This means the events are dependent. If they were independent events, then P(picky) = P(picky | cat) would be true.

The required probability of a Picky pet is 34% and for a picky cat is 44% and these events are dependent. Option B is correct.

A survey of people has shown in the image,
Events of being a picky eater and being a cat independent or dependent events to be justified.

Probability can be defined as a number of the desired events per unit total number of events.

Here,
Probability of  being a picky eater P(picky eater),
Total picky eater = 17, and the total number of pets is 50 (from the table in the image)
P(picky eater) = 17/50
                       = 0.340
                       =  34%
Probability for picky cat p(picky cat)
number of cats = 25 and number of picky cats = 11
P(picky cat) = 11/25
                   = 0.44
                   = 44%
The probability of both events is dependent because in the Venn diagram we can see the contributions.

Thus, The required probability of a Picky pet is 34% and for a picky cat is 44% and these events are dependent.

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Answer:

d

Step-by-step explanation:

google

The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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7/4 can be expressed as

3/4 can be expressed as

Then, the fractions to compare are:

14/8, 4/8, 7/8, 6/8

We can order them only considering the numerators. from least to greatest value the ordered list is:

4/8, 6/8, 7/8, 14/8

or

4/8, 3/4, 7/8, 7/4

Hence, the deal of  $\(479\) is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $\(396\) or three blenders for $\(479\).

So,

Oliver buying two blenders at  $\(396\) so the cost of one blender is

i.e., \(\frac{396}{2}=198\)$

Oliver buying two blenders at  $\(479\)  so the cost of three blenders is

i.e., \(\frac{479}{3}=159\)$

Hence, the deal of  $\(479\) is best unit price per blender.

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Answer:

9

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

The answer is 9 because 9*5=45

From the given figure, we observe that,

The relationship between the variables is,

As the number of sunny days increases, the number of lost umbrellas tends to decrease.

Hence, the correct option is C.

Answer: C

Step-by-step explanation:

$3.50/lb is the unit weight. Since your # of lbs is x it would be 3.50x. Simple

Have a nice day :)

(a) The reading of the thermometer after the given time is :

(i) 16.3905°F, (ii) 10.1338°F, and (iii) 10°F

(b) The time it takes to drop the temperature to 24°F is approximately 2 minutes.

(a) Given that:

The initial temperature in the room, T₁ = 75°F

The final temperature in the outdoors, T₂ = 10°F

Using Newton's law of cooling,

T(t) = T₂ + (T₁ - T₂) \(e^{-kt}\)

Substitute the values.

T(t) = 10 + (75 - 10) \(e^{-kt}\)

T(t) = 10 + 65 \(e^{-kt}\)

Given that, the reading on the thermometer drops to 40°F after one minute.

40 = 10 + 65 \(e^{-k}\)

Solving,

\(e^{-k}\) = 0.4615

Taking natural logarithms on both sides.

-k = ln(0.4615)

Using calculator:

k = 0.7732

So, the equation becomes T(t) = 10 + 65 \(e^{-0.7732t\).

(i) When t = 3,

T(3) = 10 + 65 \(e^{-0.7732(3)}\)

      = 16.3905°F

(ii) When t = 8,

T(8) = 10 + 65 \(e^{-0.7732(8)}\)

      = 10.1338°F

(iii) When t = 1 hour = 60 minutes,

T(60) = 10 + 65 \(e^{-0.7732(60)}\)

         = 10°F

b) Substitute T = 24°F.

10 + 65 \(e^{-0.7732t\) = 24

\(e^{-0.7732t\) = 0.2154

Taking natural logarithms,

-0.7732t = ln (0.2154)

t = 1.9857 ≈ 2 minutes

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the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

How to solve?

To solve this problem, we can use the Poisson distribution, which models the probability of a certain number of events occurring in a fixed interval of time or space, given the expected rate of occurrence.

Let lambda be the expected rate of customer arrivals per minute. If exactly two customers arrive in the first minute, then the expected number of customers to arrive in three minutes is lambda ×3. We can use this expected value to calculate the probability of at least seven customers arriving in three minutes:

P(X ≥ 7 | X ~ ∝(λ×3))

= 1 - P(X ≤ 6 | X ~ ∝(λ×3))

= 1 - ∑[k=0 to 6] (e²(-λ3) ×(lλ3)²k / k!)

where e is the mathematical constant approximately equal to 2.71828, and k! denotes the factorial of k.

To find lambda, we can use the fact that exactly two customers arrive in the first minute. The Poisson distribution assumes that the number of events in a fixed interval of time or space follows a Poisson distribution with parameter lambda, which represents the expected rate of occurrence. Therefore, lambda is equal to the number of customers arriving per minute, which is 2.

Substituting lambda = 2 into the formula, we get:

P(X ≥ 7 | X ~ ∝(2×3))

= 1 - P(X ≤ 6 | X ~ ∝(6))

= 1 - ∑[k=0 to 6] (e²(-6) ×6²k / k!)

Using a calculator or computer software, we can evaluate this expression to get:

P(X ≥ 7 | X ~ ∝(6)) ≈ 0.081

Therefore, the probability that at least seven customers arrive in three minutes, given that exactly two arrive in the first minute, is approximately 0.081 or 8.1%.

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Eight angles are formed when two parallel lines are intersected by a third line that intersects them at an acute angle, known as a transversal line. These angles interact in a number of ways, one of which is the same-side exterior. Both angles are on the same side of the transversal line, as indicated by the word "same-side," and both are "external," or "outside," of the parallel lines, as represented by the term "outside."

When a transversal crosses two parallel lines, it creates an angle between the lines and outside the lines on the same side. Because the alternate interior and alternate exterior angles are the same, and because linear pairs of angles are supplementary, the identical side angles are also supplementary.

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The perimeter of ΔJLM is 68 units.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

KM bisects LMJ.

That means, x -7 = 15

x = 22.

The perimeter of ΔJLM,

= 15 + 15 + 12 + (22+4)

= 68

Therefore, the perimeter is 68 units.

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