7. Higher Order Thinking A bagel is cut
into same-size pieces. Some
friends share the bagel.
Each friend gets one piece.
How many friends share
the bagel?
friends

The minimum and the maximum values of the function f(x) = ∛(x+1)  on the interval [−2, 0] are

The maximum and minimum values are pointed out from the graph by tracing the lowest point within the range and the highest point within the range to the graph, then to the output of the graph

The minimum point was at -2 and this gave an output of -1

The maximum point was at 0 and this gave an out put value of 1

The graph is attached

Learn more about graphs at:

https://brainly.com/question/25184007

#SPJ1

Answer:

The vertical tank is basically a cylinder that is sometimes referred to as a V-120 cylinder. Both 120-gallon tanks can hold up to 96 gallons of propane when full (not 120 gallons). That’s due to the 80% rule; all propane tanks can be filled up to 80% of their maximum capacity.

Answer:

75%

Step-by-step explanation:

The measurement scale for "age in years" is ordinal, meaning the values have a specific order or ranking, but no notion of equal distances between them.

The "age in years" measurement scale is ordinal. An ordinal scale is a type of measurement scale that has a specific order or ranking to its values, but there is no notion of equal distances between the values. In the case of "age in years," the values have a clear order (e.g., 25 years old is younger than 30 years old), but it doesn't make sense to say that a difference of 5 years is the same as a difference of 1 year. This is why age in years is considered to be measured on an ordinal scale.

Additionally, with an ordinal scale, the values can only be compared in terms of their order or ranking, and not in terms of the actual differences between them. For example, we can say that someone who is 25 years old is younger than someone who is 30 years old, but we cannot say that a person who is half as old as someone who is 50 years old at the age of 25. This is because an ordinal scale does not have a meaningful zero point and does not allow for meaningful comparisons of the absolute size of differences between values. An ordinal scale is the second highest measurement scale, below interval and ratio scales, which provide more information about the magnitude of the values being measured.

Learn more about ordinal scale here:

https://brainly.com/question/28500245

#SPJ4

The figures that will be formed are isosceles triangle and right angle.

option B and D.

A triangular pyramid is a geometric shape that has a triangular base and three triangular faces.

If all three sides of the base are congruent, then a verticals slice perpendicular to the base of the triangular pyramid will form the following figures;

Thus, the isosceles triangle will be formed because all three sides of the base are congruent, and third side will be from the vertical slice to the base creating a third unequal side.

Learn more about  triangular pyramid here: https://brainly.com/question/12807315

#SPJ1

Answer:

The probability of landing on purple is equal to the probability of landing on blue.

This is because each color covers the same number of sections (2 for purple, 3 for blue) and each section has the same size, so the probability of landing on each color is equal.

Probability = Number of successful outcomes / Total number of outcomes

For purple and blue, the number of successful outcomes is the same (2 and 3, respectively) and the total number of outcomes is 8, so the probability of landing on either color is equal.

Probability of landing on purple or blue = 2 / 8 = 3 / 8 = 0.25

Answer:$920

Step-by-step explanation:

Step-by-step explanation:

The interest earned is $920.

Answer: -5

Step-by-step explanation:

To solve for x, you must use inverse operations.

We must move the 12 from the right, to the left in order to solve for x.

The inverse of addition, is subtraction.

Subtract 12 from both sides

7 - 12 = x + 12 - 12

To subtract a bigger number from a smaller number, flip it around, and make your answer negative

12 - 7 = 5

7 - 12 = -5

Something minus itself is 0

-5 = x + 12 - 12

-5 = x + 0

We like to have x on the left, and the = is symetrical.  Just flip it around

x = -5 + 0

x = -5

Verify

7 = -5 + 12

7 = 12 - 5

7 = 7

true

Answer:

1350

Step-by-step explanation:

A:B = 13:5 = 975:x

x=975/13*5 =375

total =975+375 = 1350

We use the proportional method

Let A = water used in household A.

Let B = water used in household B.

A to B = 13 to 5

A = 260 gal

260 to B = 13 to 5

260/B = 13/5

13B = 5 * 260

B = 100

A + B = 260 + 100 = 360

The total is 360 gallons.

The physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class, which can then be used to evaluate the student’s performance and physical fitness level.

Test: A test is a tool used to collect data by which a physical education teacher can assess the physical fitness of their students. In this case, the physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class. This data can be used as a measure of physical fitness.

Measurement: Measurement is the process of assigning a numerical value to a physical education student’s performance. The pedometer is the tool used to measure the number of steps taken by a student in a 40-minute physical education class. This numerical value serves as an indicator of the student’s physical fitness level.

Evaluation: Evaluation is the process of assessing the physical education student’s performance in relation to the expected performance standards. The teacher will use the numerical data collected by the pedometer to evaluate the student’s performance and physical fitness level. The teacher will then use this information to make changes to the physical education program and to provide feedback to the student.

In conclusion, the physical education teacher is using a pedometer to measure the number of steps taken by a student in a 40-minute physical education class, which can then be used to evaluate the student’s performance and physical fitness level. This is a great example of how test, measurement, and evaluation can be used to assess student performance.

Learn more about numerical data here:

https://brainly.com/question/12927876

#SPJ4

There is no maximum and minimum values.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is f(x)=∛(x+1)

Find where the first derivative is equal to 0 to find the local maxima and minima.

By differentiating the given function we get

[tex]f(x)=(x+1)^{\frac{1}{3} }[/tex]

[tex]f'(x)=\frac{1}{3(x+1)^{\frac{2}{3} }}[/tex]

For maxima f'(x)=0

0= [tex]\frac{1}{3(x+1)^{\frac{2}{3} }}[/tex]

No local maxima or minima

Therefore, there is no maximum and minimum values.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

The glide reflection maps triangle ABC to triangle A'B'C' is (x, y) -> (x + 8, -y)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The rule for the glide reflection is to first reflect the point across the y-axis and then translate the point 8 units to the right. Mathematically, this can be written as:

(x, y) -> (x + 8, -y)

So, to apply this rule to the vertices of triangle ABC, we would do the following:

A(-4, -2) -> (A(-4, -2) + 8, -(-2)) = A'(4, 2)

B(-2, 6) -> (B(-2, 6) + 8, -(6)) = B'(6, -6)

C(4, 4) -> (C(4, 4) + 8, -(4)) = C'(12, -4)

And so, the glide reflection maps triangle ABC to triangle A'B'C'.

Hence,  the glide reflection maps triangle ABC to triangle A'B'C' is (x, y) -> (x + 8, -y)

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

The sample has 100 participants, the population has all college students. Averages after the memory test represent mean effect of caffeine on memory for the sample.

a. The population in this experiment is all college students in the United States.

b. The sample in this experiment is the 100 students who participated in the study.

c. The group that received decaffeinated coffee is the control group.

d. The group that received caffeinated coffee is the experimental group.

e. The sample contains 100 participants. The population contains all college students in the United States.

f. The averages calculated after the memory test are the mean number of items correctly recalled in each group. These means represent the average effect of caffeine on memory for the sample of 100 college students who participated in the study. The results of the study can be used to make inferences about the population of all college students in the United States. However, it is important to keep in mind that the sample may not be representative of the entire population and further studies may be needed to make stronger conclusions about the effect of caffeine on memory in college students.

Learn more about mean :

https://brainly.com/question/28670966

#SPJ4

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

To solve more questions on inequalities, visit the link below -

https://brainly.com/question/16872672

#SPJ1

Step 1: To construct

The box plot for the given data.

Step 2 : Explanation

Box plots are a graphical tool used in statistics to show the concentration of data. They also demonstrate how far the extreme numbers differ from the majority of the data. The smallest value, the first quartile, the median, the third quartile, and the maximum value are used to create a box plot.

Use a horizontal or vertical number line and a rectangular box to make a box plot. The axis's ends are labelled by the smallest and largest data values. One end of the box is marked by the first quartile, while the other end is marked by the third quartile. Approximately half of the data is included within the box. From the box's ends to the smallest and greatest data values, the "whiskers" extend. The median or second quartile can be in the middle of the first and third quartiles, or it can be either one or the other.

The box plot's five numerical summaries are as follows:

# of movies Frequency Cumulative frequency

0 5 5

1 9 14

2 6 20

3 4 24

4 1 25

N=25

An appropriate interpretation of the 95 percent confidence level is Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling. The counterpart of this sampling is non-probability sampling or Non-random sampling. The primary types of this sampling are simple random sampling, stratified sampling, cluster sampling, and multistage sampling. In the sampling methods, samples which are not arbitrary are typically called convenience samples.

The primary feature of probability sampling is that the choice of observations must occur in a ‘random’ way such that they do not differ in any significant way from observations, which are not sampled. We assume here that statistical experiments contain data that is gathered through random sampling.

Here we have,

Sample size [tex]$(\mathrm{n})=[/tex] 30

95% confidence interval (367,558)

Interpretation

B) Approximately 95% of all farm size in the United States are between 367 acres and 558 acres.

Therefore, the correct option is (B)

For more such questions on Random sample

https://brainly.com/question/20692763

#SPJ4

complete question: An agricultural engineer selected a random sample of 30 farms in the United States to construct a 95 percent confidence interval for the mean size, in acres, of farms in the United States. The resulting interval was (367, 558). Which of the following is an appropriate interpretation of the 95 percent confidence level?

(A) Approximately 95% of the farm sizes in the sample are between 367 acres and 558 acres.

(B) Approximately 95% of all farm sizes in the United States are between 367 acres and 558 acres.

(C) Approximately 95% of all random samples of size 30 from the population will have a mean farm size between 367 acres and 558 acres.

(D) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the mean size of farms in the United States.

(E) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the sample mean.

Answer:

95km/h

Step-by-step explanation:

Divide 14km/h by 1330km to find out the equally distributed km/h per km:

1330km/14km/h

[95km/h]

A vacuously true statement in the domain of square roots of positive integers is: For any integer  x, if x is not a perfect square, then the square root of x is not an integer.

This statement is vacuously true because the truth set of the hypothesis (x is not a perfect square) is empty; there are no positive integers which are not perfect squares.

For example, the perfect squares of the first 10 positive integers are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. Thus, the hypothesis (x is not a perfect square) is false for any x from 1 to 10. Therefore, the statement is vacuously true.

Formula:

Let x be any positive integer

Vacuously true statement:

If x is not a perfect square, then the square root of x is not an integer.

For any positive integer x, since x is not a perfect square, the square root of x is not an integer.

Therefore, the statement is vacuously true.

Learn more about integer here:

https://brainly.com/question/1768254

#SPJ4

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

Learn more about parallelograms here:

https://brainly.com/question/1563728

#SPJ1

a)

g(10) = 62 means at 10 miles from the source, the elevation of the Mississippi river is 62 feet.

b)

The rate of change of the elevation with distance from the source is -2.4.

c)

The elevation of the Mississippi 11 miles from its source is 59.6 feet.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) is the elevation in feet of the Mississippi river x miles from its source.

a)

g(10) = 62

This means,

At 10 miles from the source, the elevation of the Mississippi river is 62 feet.

b)

g'(10 = -2.4

This means,

The rate of change of the elevation with distance from the source is -2.4.

It is negative because the river flows downward.

The unit is feet per mile.

c)

We can make g(x) = mx + c

m = -2.4

(10 , 62) = (x, g(x))

So,

62 = -2.4 x 10 + c

62 = -24 + c

c = 62 + 24

c = 86

And,

g(x) = -2.4x + 86

So,

At x = 11 miles

g(11) = -2.4 x 11 + 86

g(11) = -26.4 + 86

g(11) = 59.6

Thus,

g(10) = 62 means at 10 miles from the source, the elevation of the Mississippi river is 62 feet.

The rate of change is -2.4.

The elevation of the Mississippi 11 miles from its source is 59.6 feet.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Answer:

the y-intercept for the first one is 4. remember y=mx+b!! b is the y-intercept. The second question the y-intercept is 4

Answer for 18 is 1. for the last question, the answer is -1/3. I attached an image to show the work for the last 3 problems but for the first one you don’t rlly need to show work.

The numeric values of each expression are given as follows:

At x = -4, the numeric values are given as follows:

f(-4) = 0, g(-4) = 1.

Hence the addition is given as follows:

f(-4) + g(-4) = 0 + 1 = 1.

At x = 3, the numeric values are given as follows:

f(3) = -1, g(3) = 2.

Hence the subtraction is given as follows:

f(3) - g(3) = -1 - 2 = -3.

At x = 0, the numeric values are given as follows:

f(0) = 2, g(0) = -1.

Hence the product is given as follows:

(fg)(0) = f(0) x g(0) = 2 x -1 = -2.

At x = 2, the numeric values are given as follows:

f(2) = -2, g(2) = 3.

Hence the quotient is given as follows:

(f/g)(0) = f(0)/g(0) = -2/3.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer: Yes.

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. In other words, a proportional relationship is one side is always multiplied/divided by the same value. In this case, the value is 2.

Hope this helps!

The length of the hypotenuse is given as follows:

41.23 ft.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The features of the right triangle in this problem are given as follows:

The area of a right triangle is given by half the multiplication of the two side lengths of the triangles, hence the length x is given as follows:

0.5 x 10x = 200

5x = 200

x = 200/5

x = 40 ft.

Now we have the side lengths, the Pythagorean Theorem is applied to obtain the hypotenuse length, as follows:

h² = 10² + 40²

h = sqrt(10² + 40²)

h = 41.23 ft.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

The complete statements are:

As a general rule, an adverbial clause, sometimes referred to as an adverb clause, is a group of words that, together, functions as an adverb.

They are introduced to a statement by words such as although, though, etc

Using the above as a guide, we have the following:

Read more about adverb at

https://brainly.com/question/20368986

#SPJ1

Answer:

No the answer is

[tex]14 - 7y[/tex]

The interpretation of the intercept is when the cab travel 0 miles , the total fee will be $12 ( option B)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

From the table, the slope can be calculated as:.

m = (27-19.5)/10-5

m = 7.5/5

m = 1.5

from the equation of a line, taking point 2 and $15

y-y1 = m(x - x1)

y - 15 = 1.5(x-2)

y - 15 = 1.5x -3

collect like terms

y = 1.5x +12

therefore the y- intercept is 12

This means at 0 miles $12 is charged

learn more about linear equation from

https://brainly.com/question/2030026

#SPJ1

Yes, as the relative frequency distribution closely resembles the empirical criterion for normal models.

Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

What is the relative frequency distribution formula?

Subgroup Count / Total Count: Relative Frequency

Because they let us determine how frequent a certain value is in a dataset in comparison to all other values, relative frequency distributions are helpful.

Know more about  Relative Frequency

https://brainly.com/question/3857836

#SPJ4

Probability of having exactly one ace in each hand of 13 cards can be found by using the multiplication rule: p = P(E1)P(E2)P(E3)P(E4), where E1, E2, E3, and E4 represent events of having exactly one ace in each hand.

The probability that the first hand has exactly one ace and the second hand has exactly one ace and the third hand has exactly one ace can be calculated as follows:

p = (4/52) * (3/51) * (4/50) * (3/49) = 6/54145.

The probability of an event happening is represented as P(E), where E is the event. The multiplication rule states that if two events are independent and mutually exclusive, then the probability of both events happening is equal to the product of their individual probabilities. In this case, we have three events E1, E2 and E3, where each event is that a hand has exactly one ace. To find the probability of all three events happening, we use the multiplication rule as P(E1 and E2 and E3) = P(E1) * P(E2|E1) * P(E3|E1 and E2), where P(E2|E1) and P(E3|E1 and E2) are the conditional probabilities of E2 and E3 given that E1 has happened.

Learn more about probability here:

https://brainly.com/question/14289833

#SPJ4

Answer:

67/100

Step-by-step explanation:

Answer:

50 degrees. Complementary angles are any two angles that add up to 90 degrees. In this case, if the complement is 30 less than its bigger angle, and the bigger angle is twice the size of its complementary angle, then that would mean you take the unknown angle as x.(WORK SHOWN BELOW)

Step-by-step explanation:

[tex]x=2\times (\left90-x)\right-30\\[/tex]

Then regroup

[tex]x= 180-2x-30[/tex]

Work with like terms. For example, a whole's like term is another whole.

[tex]x+2x=(\left180-30)\right\\180-30=150\\x+2x=1+2\\x+2x=3x\\3x=150[/tex]

If 3x is the same as 150, then 150 divided by 3 is also x. We know this because almost any correct equation with some form of a constant or variable can be flipped into the opposite of itself.

[tex]x=\frac{150}{3}[/tex]

And lastly, 150 divided by 3 is 50.

Hope this helps!