The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars each.

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

Answer:

61

Step-by-step explanation:

1/5 = .2

so you do 12.2 / .2 which gives you 61

Answer:

Your answer is 61

Step-by-step explanation:

Step 1.  Convert 12.2 into a fraction. (I chose to put 12.2 over 10 so in the end it's 122/10.)

Step 2. Layout your problem

Remeber when dividing fractions it Keep, Change, Flip.

122/10 x 5/1

Step 3. Solve

122/10 x 5/1 = 61

That should be your answer to the problem :)

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

Answer: 116%

Hope this helps.

Answer:

21/28

Step-by-step explanation:

Are there any answer choices?

-21 + 28x = 0

28x = 21

Divide by 28

x = 21/28

Answer:

Step-by-step explanation:

Answer:

x=-38

Step-by-step explanation:

-19*2=-38

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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Answer:

12x-5y-37

Step-by-step explanation:

10x-5y+2x-37

10+2

12x-5y-37

Answer:

I love you hddmekelejeyeneoeleemeh

Answer:

4/5 yd^3

Step-by-step explanation:

(2/3)(3/1)(2/5) = 12/15 = 4/5

Answer:

4/5 I believe?

Step-by-step explanation:

Multiply all the numbers together :)

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Here a six sided die is rolling fairly

The sample space = { 1,2,3,4,5,6}

Sample space of the experiment is the all the possible outcomes of the experiment.

Here 1, 2, 3, 4, 5 and 6 are the random outcomes of the experiment

Hence, rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6, then the random in this context is option (D) That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

The complete question is:

Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6. Explain what random means in this context? Choose the correct answer below.

a. That if a 1 is rolled it that means that each other number was not rolled.

b. That the only possible outcomes are​ 1, 2,​ 3, 4,​ 5, and 6.

c. That each result will not be influenced by the previous result of the die roll.

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer:

the answer is 0.12

Step-by-step explanation:

You would do 15/125 which is 3/25

then you would do 25 times 4 and the 3 times for to get 12/100

then you would convert that into a decimal which is 0.12

Answer:

20 ° i think

Step-by-step explanation:

Answer:

20

because they are identical triangles therefore they have the same interior angles.

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.

A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.

It is employed in testing the null hypothesis and determining statistical significance.

The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.

Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.

How to calculate the p-value?

Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.

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This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "pening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, This takes into account the fact that each of the angles has an opposite ray on its other side in addition to the common side they share.

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Answer:

Step-by-step explanation:

This is a reading question. You have to know what all the terms mean.

B: is the first one you have to think about. All real solutions. Is that the answer, or do you have to think about it more. The key word is solutions. So that takes in A. So B is the answer.

A is the second best answer. Any solution has to be on the blue line. The blue line is the visual record of what works in B. Well, why not pick A? It is because B is more general, and it includes A.

C More than whole numbers solve this question. The line is continuous.

D There are negative solutions as well. Not the answer.

Answer:

the answer is A. All solutions that lie on h(x)

i took the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

So you have a square that has a perimeter of 36.

A square has 4 equal sides.

z+z+z+z=36          or              4z=36

(a) H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

(b) The expected count for each side of the dice is 13

(c) Yes, because the expected cell count is at least 5 for all cells.

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

You play a game of dice at the state fair, but suspect the dice may have been rigged. You observe the game owner rolling the dice 78 times and note the following results:

Face "1" "2" "3" "4" "5" "6"

Observed count 8 13 18 14 19 6

(a) Which hypotheses should be used to test if the dice are fair:

Identify H0:

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are unfair.

Identify Ha:

-Ha: every p ≠ 1/6, implying the dice are unfair.

-Ha: at least one p≠ 1/6, implying the dice are unfair.

-Ha: every p ≠ 1/6, implying the dice are fair.

-Ha: at least one p ≠ 1/6, implying the dice are fair.

(b) What is the expected count for each side of the dice?

(c) Is the cell count condition met?

-No, because some cells have less than 10 observed counts.

-Yes, because the expected cell count is at least 5 for all cells.

-Yes, because the expected cell count is close to the observed cell count for all cells.

-No, because some cells have less than 30 observed counts.

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Step-by-step explanation:

1/4096

0.000244140625

2^-12

1/(2^12)

All of the above expressions are equivalent to (12⁻₂)₈, which is a decimal representation of a number that is obtained by dividing 1 by 2 raised to the power of 12. The first and second expressions are decimal representation of the number, the third one is the representation of the number by using the base 2 logarithm, and the fourth one is the mathematical representation of the number by dividing 1 by 2 raised to the power of 12.

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

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Using Present value factor,

the highest annual interest rate at which you would prefer the four annual payments over the lump-sum payment is 2%.

We have given that

a lump-sum = $10,000 today, or $2,750 in annual payments (first payment today).

This rate takes precedence over the highest four-year present value of $2,750.

To calculate the 4-year present value, use the 2%, 5%, 7%, and 10% unified present value pay tables.

Present Value Factor

at 2% - 3.8077 value - 2750* 3.8077 = 10471.2

at 5% - 3.5460 value - 2750* 3.5460 = 9751.5

If interest rates rise, the amount will be reduced.

So 2% is the highest rate .

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The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x            (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                       (Addition property of order)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

The inequality is given as;

−7 (3 + 8x) + 5x ≤ 1 − 62x

Now, Find the justification of each step in solving the inequality as;

The inequality is solve as,

−7 (3 + 8x) + 5x ≤ 1 − 62x

                                      (Given)

- 21 - 56x + 5x ≤ 1 − 62x

                                    (Distributive property)

- 21 - 51x ≤ 1 − 62x

                                    (Subtraction property of order)

- 21 + 11x ≤ 1

                                     (Addition property of order)

11x ≤ 22

                                     (Addition property of order)

x ≤ 2

                                     ( Division property of order )

Hence, The justification of each step in solving the inequality is;

⇒ - 21 - 56x + 5x ≤ 1 − 62x    (Distributive property)

⇒ - 21 - 51x ≤ 1 − 62x             (Subtraction property of order)

⇒ - 21 + 11x ≤ 1                        (Addition property of order)

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Answer:

1. m<a and m<h, m<e and m<d

2.m<a and m<c, m<b and m<d, m<e and m<g, m<f and m<h

3. m<a= 112

m<c=112

m<f=112

m<h=112

m<b=68

m<d=68

m<e=68

m<g=68

Answer:Binary Variable

Step-by-step explanation:Binary variable: a variable that can only take on two values, usually 0/1.