At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot un 48 22 Cold 8 12 5 What is the probability that a customer ordered a medium given that he or she ordered a hot drink? Rounded to the nearest percent, [? ]% Enter​

Answer:

The answer is 20, so the answer is (D) 20.

Step-by-step explanation:

Let's say x is the number of tokens purchased for each of the three types. Then, the total amount spent is 0.10x + 0.15x + 0.20x = $9.

Combining like terms, we get 0.45x = $9.

Finally, dividing both sides by 0.45, we get x = 20.

So, 20 tokens were purchased for each of the three types.

The answer is 20, so the answer is (D) 20.

The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.

The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.

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Answer:

The 4th one

Step-by-step explanation:

Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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The sequence of arithmetic sequence be 37, 29, 21, 13 then the 52nd term exists 445.

The term "arithmetic sequence" refers to an ordered collection of numbers with a common difference between each succeeding word.

Arithmetic sequences are those that contain these patterns. The difference between successive terms in an arithmetic series is constant.

An arithmetic sequence, also known as an arithmetic progression, is a set of numbers where each term differs from the one before it. The arithmetic sequence formula makes it simple to determine a term's value and the sequence's common difference.

The AP's first period is 37.

Common difference = 37 - 29 = 29 - 21 = 8.

Let the equation of arithmetic sequence be a + ( n - 1 )d, where d is the common difference and a is the first term.

To find the 52nd term, we get

substitute the values in the above equation, we get

⇒ 37 + ( 52 - 1 )8

simplifying the above equation, we get

⇒ 37 + ( 51 )8

⇒ 37 + 408

⇒ 445

Therefore, the 52nd term of the arithmetic sequence exists 445.

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Answer:

\(\frac{ - 5}{54} + \frac{5 \times 6}{9 \times 6} = \frac{ - 5 + 30}{54} = \frac{25}{54} \)

\( \frac{15}{4} \div \frac{3}{8} = \frac{15}{4} \times \frac{8}{3} = 10\)

\(10 \times \frac{25}{54} = \frac{250}{54} = 4 \times \frac{17}{27} \)

b )

\(4 \times \frac{17}{27} = \frac{125}{27} =\)

cube root =

\( \frac{5}{3} \)

c ) square root

\( \frac{125}{27} = \frac{ \sqrt{25 \times 5} }{ \sqrt{3 \times 9} } = \frac{5 \sqrt{5} }{3 \sqrt{3} } \)

The size of angle x in the hexagon is 486 degrees.

To find the size of angle x in the hexagon, we need to use the fact that the sum of the interior angles of a hexagon is always 720 degrees.

In a regular hexagon, all the interior angles are congruent, so we can divide 720 by 6 to find the measure of each angle.

720 degrees / 6 = 120 degrees

However, in the given hexagon, we have an angle measuring 124 degrees and an angle measuring 110 degrees. To find the size of angle x, we need to subtract the sum of these two angles from the total sum of interior angles of a hexagon (720 degrees).

720 degrees - 124 degrees - 110 degrees = 486 degrees

As a result, angle x in the hexagon has a size of 486 degrees.

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Answer:

b. 7

\( \frac{56}{x} = 8 \\ 8x = 56 \\ x = 7\)

Answer: the attachment wont load

Step-by-step explanation:

Answer:

-8, 0, and -12

Step-by-step explanation:

Using -7 would get you 8. Using -5 would get you 4

Answer:

In explanation.

Step-by-step explanation:

A: (-6, -6)

B: (4, -8)

C: (2, -2)

D: (-3, -1)

Maka should plan to spend $13.10 + $7.10 = $20.20.

Based on the given menu, the price of a combo meal is the same as purchasing each item separately.

Maka wants 2 burritos and 1 enchilada, so let's calculate the cost.

From combo meal 1, the price of one burrito is $6.55.
From combo meal 2, the price of one enchilada is $7.10.

Since Maka wants 2 burritos, she will spend $6.55 x 2 = $13.10 on burritos.
She also wants 1 enchilada, so she will spend $7.10 on the enchilada.

Adding the two amounts together, Maka should plan to spend $13.10 + $7.10 = $20.20.

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Answer:

Use Cymath its  website

Step-by-step explanation:

for math and tells you how to solve math problems and the answer for free.

Answer:

6 sides

Step-by-step explanation:

the interior angle + the exterior angle = 180°

let x be the exterior angle then 2x is the interior angle and

x + 2x = 180

3x = 180 ( divide both sides by 3 )

x = 60

the exterior angle = 60°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular the the exterior angles are congruent, then

number of sides = 360° ÷ 60° = 6

1) The equation of the regression line is:

y = 0.746x + 55.287

2) The correlation coefficient measures the strength and direction of the linear relationship between the two variables.

3) In this case, about 64% of the variation in final exam scores can be explained by the linear relationship with ca(x) scores.

4) we can reject the null hypothesis and conclude that there is a significant linear relationship between ca(x) and final exam scores in this sample.

5) The predicted final exam score for a student with a CA score of 72 is approximately 103.032 out of 100.

For the equation of the regression, we first need to calculate the means of X and Y, which are 81.44 and 88.6, respectively.

Then we can use the formula for the slope and intercept of the regression line:

b = Σ((xi - x)(yi - y))/Σ(xi - x)²

a = y - bx

where b is the slope, a is the intercept, x is the predictor variable (ca(x)), y is the response variable (final exam scores), xi and yi are the individual values of X and Y, respectively, and Σ is the sum over all values of i.

After performing the calculations, we get:

b = 0.746

a = 55.287

Therefore, the equation of the regression line is:

y = 0.746x + 55.287

To find the correlation coefficient and coefficient of determination, we can use the following formulas:

r = Σ((xi - x)(yi - y))/√(Σ(xi - x)² Σ(yi - y)²)

r² = coefficient of determination

After performing the calculations, we get:

r = 0.799

r² = 0.639

The correlation coefficient measures the strength and direction of the linear relationship between the two variables.

In this case, we have a moderately strong positive correlation, which means that higher ca(x) scores tend to be associated with higher final exam scores.

The coefficient of determination represents the proportion of the variance in Y that can be explained by the regression model.

In this case, about 64% of the variation in final exam scores can be explained by the linear relationship with ca(x) scores.

To test the significance of the model at a = 5%, we can perform a hypothesis test on the slope of the regression line.

The null hypothesis is that the slope is equal to zero (i.e., there is no linear relationship between ca(x) and final exam scores), and the alternative hypothesis is that the slope is different from zero.

We can use a t-test with n-2 degrees of freedom, where n is the sample size (10 in this case).

After performing the calculations, we get a t-value of 3.213, which is greater than the critical value of 2.306 (since we have a two-tailed test and a = 5% with 8 degrees of freedom).

Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between ca(x) and final exam scores in this sample.

To calculate the predicted final exam score of a student whose CA is 72, we can use the equation of the regression line:

y = 0.746x + 55.287

where x is the CA score and y is the predicted final exam score.

Substituting x = 72 into the equation, we get:

y = 0.746(72) + 55.287

y = 103.032

Therefore, the predicted final exam score for a student with a CA score of 72 is approximately 103.032 out of 100.

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The true statement about Adi's algebraic tiles is that (b) the use of incorrect header

The complete question is added as an attachment

From the question, the product expression is given as:

(negative 2 x minus 1)(2 x minus 1).

Rewrite properly as:

(-2x - 1)(2x - 1)

Expand the above expression

(-x - x - 1)(x + x - 1)

The above header does not represent the header in the algebraic tiles

This means that the header of the algebra tiles would be:

-x, -x, 1 and x, x and -1

From the figure, we can see that this is incorrectly represented

Hence, the true statement about Adi's algebraic tiles is that (b) the use of incorrect header

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Answer:

Plane

Step-by-step explanation:

The definition of a Plane is "In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far."

It couldn't be a Ray or a Line Segment because a Ray has 1 end point, and a Line Segment has 2.

It also couldn't be a Line because a Line is only 1 dimensional.

The answer has to be Plane.

Answer:

±89

Step-by-step explanation:

..................

Answer:

1029 minutes or 17.15 hours

Step-by-step explanation:

25+0.06M=86.74

0.06M=61.74

M=61.74/0.06=1029

Answer:

30

Step-by-step explanation:

yes I can tell what it is

The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.

According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.

If the two triangles are similar we would have:

75/50 = 45/x

Cross multiply and find x

x = (45 × 50)/75

x = 30

Thus, the value of x would be: C. 30.

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Answer:

Given expression:

Exponential form of this expression is:

Further simplification if needed:

Answer:

\( \huge \boxed{ \boxed{ \red{{3}^{ \frac{1}{2} } {x}^{ \frac{1}{4} } {y}^{ - \frac{9 }{8} } }}}\)

Step-by-step explanation:

\(step - 1 : define\)

\( \sf \sqrt[8]{81 {x}^{2} {y}^{ - 9} } \)

\( step - 2 : solve\)

The absolute value function which will be narrower than  the parent function is:

f(x) = 2.9|x|

Given parent function is f(x)=|x|

Now we have to find which function from given choices will be narrower than the parent function.

Notice that adding or subtracting some number from the parenth function only shifts the graph up, down, left of right side.

But that will not make function narrorwer or broader.

So f(x) = |x – 2| and  f(x) = |x| + 3, can't be the answer.

Multiplying by some positive real number which is more than 1, makes function narrower.

Only f(x) = 2.9|x| from remaining choices fits that case.

Hence f(x) = 2.9|x| is the final answer.

f(x) = 1.2|x + 8|  will also make the function narrower but will shift the parent function too.

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Answer:

Flowers: 5

Vegetables: 25

Step-by-step explanation:

Answer:

The vector \(\vec v = (3,-2,3)\) points from the origin to the point (3,-2,-3).

Step-by-step explanation:

Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:

\(\vec v = (3,-2,3)-(0,0,0)\)

\(\vec v = (3-0,-2-0,3-0)\)

\(\vec v = (3,-2,3)\)

The vector \(\vec v = (3,-2,3)\) points from the origin to the point (3,-2,-3).

To solve the problem we must know about Vector points.

A point is a position in space. It is represented by a dot.

A vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.

When we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.

The vector will point toward the point (3, -2, 3) in space.

As we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,

Final condition - Initial Condition

= (3, -2, 3) - (0, 0, 0)

= (3-0, -2-0, 3-0)

= (3, -2, 3)

Hence, the vector will point toward the point (3, -2, 3) in space.

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a) The question "How far are we from the restaurant?" is not statistical question

b) The question "How long will it be until we get there?" is the statistical question.

Now let's take a look at the two questions mentioned above and determine whether or not they are statistical questions.

The first question, "How far are we from the restaurant?" is not a statistical question. This is because the answer to the question does not involve any data or analysis. It is a simple question that can be answered with a measurement, such as the distance in miles or kilometers.

On the other hand, the second question, "How long will it be until we get there?" can be considered a statistical question. This is because the answer to the question depends on various factors that can be analyzed statistically, such as the distance to the restaurant, the speed of the vehicle, the traffic conditions, etc.

In conclusion, statistical questions are those that can be answered through the collection and analysis of data. The two questions mentioned above illustrate the difference between a simple measurement question and a statistical estimation question.

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Complete Question:

Last night, Jeremy and his family went out for dinner. The questions below came up on their way to the restaurant or during the meal. Decide whether or not each question is a statistical question, and justify your decision.

How far are we from the restaurant?

How long will it be until we get there?

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99