The profit function p(x) of a tour operator is modeled by p(x) = −2x2 + 900x − 40000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $60,000?
between 200 and 250; exclusive
between 200 and 250; inclusive
less than 250
more than 200

The correct option is option a) The critical value depends on the number of categories, not the sample size.

The critical value for a chi-square test is determined by the level of significance (alpha) and the degrees of freedom (df). The degree of freedom is a function of the number of categories in the test, not the sample size. Therefore, increasing the sample size does not affect the critical value for a chi-square test.

The chi-square test is a statistical test used to determine whether there is a significant difference between the expected frequencies and the observed frequencies in one or more categories. It is used to test the independence of two categorical variables.

Therefore, The correct option is option a) critical value depends on the number of categories, not the sample size.

To know more about  the chi-square test refer to:

brainly.com/question/14082240

#SPJ4

The given relation is a set of ordered pairs {(1, 1), (2, 2), (3, 5), (4, 10), (5, 15)}. The first element of each pair represents the input or domain value, and the second element represents the output or range value.

The domain of the relation is the set of all first elements of the ordered pairs, which is {1, 2, 3, 4, 5}. The range of the relation is the set of all second elements of the ordered pairs, which is {1, 2, 5, 10, 15}.

To check whether the relation is a function or not, we need to ensure that each input value (i.e., element of the domain) is associated with a unique output value (i.e., element of the range). In other words, there should not be more than one ordered pair with the same first element.

In this case, each input value is associated with a unique output value, so the relation is indeed a function. Specifically, it is a function from the set of integers {1, 2, 3, 4, 5} to the set of integers {1, 2, 5, 10, 15}.

Learn more about range value.

https://brainly.com/question/30821383

#SPJ4

Answer:

There is a picture below of the number line with the numbers, plotted.

Step-by-step explanation:

For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.

Answer:

6.00b + 7.75s ≥ 250

b + s ≤ 40

Step-by-step explanation:

6.00b + 7.75s ≥ 250---this represents how much he will make

b + s ≤ 40---these are his hours. B+S are his hours, and they can't be greater than 40 hrs, so ≤.

Answer:

x+20>50

Step-by-step explanation:

Answer:

The answer is x+20⩾50

Step-by-step explanation:

in inequality, the word at least means that is equal or more than. so that means that Allie might equal or more than 50 hours in the model but if you're to solve it, Allie will need 30 or more hours. and since she already has 20, add the 20.

Hope this helps!!

Answer:

3:8

Step-by-step explanation:

Because we need to find April Satellites : May Satellites you take the number in may and the april and you just slap em on the sides like this

3:8

Cryptography is - "The study of encoding data so that confidentiality of communications can be maintained between two parties." (Option A)

Cryptography involves techniques and methods used to secure and protect information by transforming it into an unreadable format (ciphertext) using encryption algorithms.

It ensures   the confidentiality, integrity,and authenticity of data during transmission and storage.

It also encompasses   the study of cryptographic protocols, algorithms, and systems to design securecommunication systems and protect sensitive information from unauthorized access or tampering.

Learn more about Cryptography at:

https://brainly.com/question/88001

#SPJ4

Answer:

The angle ZLK has a value of 75 degrees.

Step-by-step explanation:

We can calculate this as:

\(m\angle MLZ+m\angle ZLK=m\angle MLK\\\\(x+66)+(x+86)=130\\\\2x+152=130\\\\2x=130-152\\\\x=-22/2=-11\\\\\\m\angle ZLK=x+86=-11+86=75\)

We replace the angles values in the equation, as both angles that are formed with Z (MLZ and ZLK), when added, gives as the angle MLK. This allows us to calculate x. The value for x is -11.

Then, with the value for x we can calculate any of both angles.

The correct answer is: c. (4, 8)

To solve the linear programming problem, we can use the graphical method to find the optimal solution. Let's graph the feasible region and identify the point that maximizes the objective function Z = 3X1 + 5X2.

The constraints are:

1. X1 + X2 ≤ 12

2. X1 + 2X2 ≤ 20

3. X2 ≥ 3

4. X1, X2 ≥ 0

Graphing these constraints, we get:

      X2

       |

       |        2X1 + X2 ≤ 12

  ------------

       |

       |        2X1 + X2 ≤ 20

       |

--------|--------

       |

       |        X2 ≥ 3

       |

The feasible region is the intersection of the shaded regions in the graph.

To maximize Z = 3X1 + 5X2, we need to find the corner point within the feasible region that gives the highest value for Z.

Checking the corner points of the feasible region, we find that the optimal solution is at point (4, 8).

Therefore, the optimal solution for (X1, X2) is:

X1 = 4

X2 = 8

Learn more about constraints here:

https://brainly.com/question/30968609

#SPJ11

Answer:

its 8^16

Step-by-step explanation:

let 8=8^1

when dividing exponents, you subtract the exponents

8^17/8=8^(17-1)=8^16

Hope this helps

Answer:

-8

Step-by-step explanation:

bc a negative time a negative give u a positive

-3x-8=24

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

A researcher predicted that coffee drinkers would perform better on a cognitive task than non-coffee drinkers. Ten subjects were recruited, half of whom drank coffee and half of whom did not. Cognitive performance was measured with a possible score worth 10 points (scores could range from 0-10). The results showed that there was no significant difference in cognitive performance between coffee drinkers and non-coffee drinkers.

To analyze the data and draw conclusions, a t-test for independent samples would need to be conducted. The dependent variable in the study is the cognitive performance score on the task, measured on a scale from 0 to 10.The level of measurement for the dependent variable is interval, as it represents a numerical score on a scale. The independent variable in the study is whether the subjects drank coffee or not. The degrees of freedom for obtaining the critical value would be (n1 + n2 - 2), where n1 and n2 are the sample sizes of the coffee and no coffee groups, respectively. False, this is a one-tailed analysis, as the researcher predicted that coffee drinkers would perform better, implying a directional hypothesis. With α = 0.05, the critical value for the t-test would depend on the degrees of freedom and the chosen significance level. The observed test statistic would be calculated during the analysis using the provided data, and its specific value is not given in the question. Based on the observed test statistic, conclusions can be drawn regarding the statistical significance of the difference in cognitive performance between coffee and non-coffee drinkers. When explaining the results to friends, it would be best to discuss the statistical significance or lack thereof, comparing the cognitive performance scores between the coffee and non-coffee drinking groups.

To learn more about t-test here : brainly.com/question/1189751

#SPJ11

As per the set theory, the number of student who take math course is 800

Set:

In math, set means an organized collection of objects and can be represented in set-builder form or roster form.

Given,

Here we know that suppose that all of the 1000 first-year students at a certain college are enrolled in a math or an English course. suppose 400 are taking both math and English and 600 are taking English.

Now, we need to find the number of students who take math course.

While looking into the given question we have identified that,

Total Number of students = 1000

Number of students in both course = 400

Number of students taking English = 600

Then the number of students who take math course is calculated as

=> 1000 - 600 + 400

=> 800

Therefore, the resulting number of students is 800.

To know more about Set here.

https://brainly.com/question/17675434

#SPJ4

Answer:

9x - 15

Step-by-step explanation:

3[(x-5)+2x]

3(3x -5)

= 9x - 15

tadah!

Answer:

3(x-5) +2x

Expand:

3x -15+2x

3x+2x-15

5x -15

No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.

Answer:

No

Step-by-step explanation:

No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.

ATTACHED IS THE SOLUTION!!

Answer:

A.)

Step-by-step explanation:

Hope this helps !

And if you want to can you mark me brainiest

Answer: A. The cost is $2.00 before any miles are driven

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

Explanation:

x = number of miles driven

y = total cost of driving x miles

When x = 0, the graph shows y = 2. This is shown as the point (x,y) = (0,2). This is the y intercept where the graph crosses the vertical y axis.

When x = 0, the taxi hasn't driven at all. So having y = 2 pair with this x value means that it costs $2 to get into the cab, even if the cab hasn't gone anywhere. This is the initial fee.

------------------------------------

Extra info:

Computing the slope of this line will get you the amount of money per mile charged. In other words, it will give how much extra money you pay per mile on top of the initial $2. In this case, the slope is 9/10 = 0.90, meaning that you pay 90 cents per mile.

The equation of this line is y = 0.90x+2

The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.

In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.

It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.

The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.

The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.

In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.

To know more about value click here

brainly.com/question/30760879

#SPJ11

36% is the answer???

In a 6-dimensional data cube with no hierarchies associated with any dimension, the total number of cuboids can be calculated as 63, using a formula based on the inclusion-exclusion principle.

For a 6-dimensional data cube, there are 2^6 - 1 = 63 non-empty subsets of dimensions. Each subset represents a cuboid. Therefore, there are 63 cuboids in a 6-dimensional data cube without any hierarchies associated with the dimensions.

This calculation is based on the concept that each subset of dimensions corresponds to a unique cuboid in the data cube. By summing up the cardinalities of all possible subsets, excluding the empty set, we arrive at the total count of 63 cuboids in the given scenario.

Learn more about cuboids here: brainly.com/question/29568631
#SPJ11

the expression y + b % a / 2 - y is equal to 3 + 1 - 3, which is equal to 1. Hence, the value of x is 1.

The value of result after the following partial code executes is 6. The following is the complete code after substituting the variables.  

int x, y, a, b;

a = 4;

b = 11;

y = 3;

x = y + b %

\(a / 2 - y;\) Value of result after execution cout << "Result: " << x; \(cout << "Result: " << x;\)

Output is Result: 6The above code uses arithmetic operators to determine the value of x, which is the result.

The percentage operator calculates the remainder when b is divided by a, which is 3. 11 % 4 = 3

The division operator / then divides the result of the modulus operation by 2.

3 / 2 = 1 (remainder 1)

Therefore, the expression y + b % a / 2 - y is equal to 3 + 1 - 3, which is equal to 1. Hence, the value of x is 1.

To know more about result visit:

https://brainly.com/question/27751517

#SPJ11

Horizontal shift is negative when the graph is shifted to the left. This means that the x-value of the graph is decreased, resulting in a negative shift.

The horizontal shift of a graph is the amount the graph is shifted to the left or right, measured in units along the x-axis. When the graph is shifted to the left, the x-values of the graph decrease, resulting in a negative shift. Conversely, when the graph is shifted to the right, the x-values of the graph increase, resulting in a positive shift. The horizontal shift of a graph can be calculated by subtracting the x-value of the new graph from the x-value of the original graph. If the result is a negative number, the graph has undergone a negative shift; if the result is a positive number, the graph has undergone a positive shift. The magnitude of the shift is equal to the absolute value of the difference between the x-values of the two graphs.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Answer:

The number of new street boards that can be put up will be 597.

Step-by-step explanation:

Since the muncipalicty has budgeted R80 000 for putting up new street name boards and the street name boards cost R134 each.

The number of new street boards that will be put up will be:

= 80000/134

= 597

The amount that will be left in the budget will be R2.

based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.

Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.

We'll use a significance level (alpha) of 0.05.

Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (44 - 40) / (8 / sqrt(25))

t = 4 / (8 / 5)

t = 2.5

We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.

Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.

In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

to know more about Hypothesis visit:

brainly.com/question/11560606

#SPJ11

The surface area of the composite figure shown in the image is 952 ft²

An equation is an expression that shows the relationship between two or more variables and numbers.

Surface area of composite is the sum of the individual areas of the surface.

Hence:

Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²

The surface area of the composite figure shown in the image is 952 ft²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1