Write an inequality to represent 7 less than the product of a number, n, and 1/6 is at most 45."
Please help me, I need this right away!!!!

Answer:

2xy+2x

Step-by-step explanation:

The probability that the bulb will fail between the times 1 and 10.5 is as follows: P(1 - x - 10.5) = F(10.5) - F(1) P(1 - x - 10.5) = [1 - e(-(10.5/8.5) 3)] - [1 - e(-(1/8.5) 3)] P(1 - x - 10.5) = e(-(1/8.5) 3) - e(-(10.5/8.5) 3) P(1 - x - 10.5)

Considering that the life expectancy of a light is supposed to follow a Weibull dissemination with shape boundary a = 3 and scale boundary ß = 8.5. The probability that the light bulb will fail between the times 1 and 10.5 can be determined using the Weibull distribution's probability density function (PDF).

The PDF of the Weibull circulation with shape boundary an and scale boundary ß is given by:

f(x) = (a/ß) * (x/ß)^(a-1) * e^(- (x/ß)^a)

where x >= 0.

When we insert the PDF with the given values for a and ß, we get:

f(x) = (3/8.5) * (x/8.5)(3-1) * e(-(x/8.5)3) f(x) = (3/8.5) * (x/8.5)(2 * e(-(x/8.5)3) f(x) = (3/8.5) * (x/8.5)(3-1) * e(-(x/8.5)3) Now, we need to determine the probability that the bulb will fail between the times 1 and 10.5. The Weibull distribution's cumulative distribution function (CDF), F(x), can be expressed as:

The probability that the bulb will fail between the times 1 and 10.5 is as follows:

P(1 - x - 10.5) = F(10.5) - F(1) P(1 - x - 10.5) = [1 - e(-(10.5/8.5) 3)] - [1 - e(-(1/8.5) 3)] P(1 - x - 10.5) = e(-(1/8.5) 3) - e(-(10.5/8.5) 3) P(1 - x - 10.5)

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Answer:

b -6

Step-by-step explanation:

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer: angle 7 is equal

Step-by-step explanation: I help ;)

Answer:

35 different combinations

Step-by-step explanation:

This would be a combination because the same person cannot get all three medals so permutation is not the correct way to calculate this. We use the formula C(n,r)=(nr)=n!(r!(n−r)!)=? where n is the number of total objects and r is the number of objects taken from the total.

brainliest pls . . . uwu

Answer:

x = -3

Step-by-step explanation:

5 + 3(x - 1) = 3x + 14 - (x +15)

5 + ( 3x - 3 ) = 3x + 14 - x -15

3x + 2 = 2x - 1

x + 3 = 0

x = -3

Answer:

x = -3

Step-by-step explanation:

To find the solution to the equation, we would have to find a value of x that would satisfy the equation.

5 + 3(x - 1) = 3x + 14 - (x + 15)

Distribute the 3 on the left side and the - on the right side.

5 + 3x - 3 = 3x + 14 - x - 15

Combine like terms.

2 + 3x = 2x - 1

Subtract 2 from both sides.

3x = 2x - 3

Subtract 2x from both sides.

x = -3

So the solution to the equation would be x = -3.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

6

Step-by-step explanation:

Answer:

Brainlist

Step-by-step explanation:

The result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

Some of the properties of exponents are expressed as shown below;

1) a^-n = 1/a^n

In order to answer the given questions, we will use the following properties above;

3^-4 = 1/3^4 where a is equivalent to 3 and n is equivalent to 4

Similarly;

1/2^3 = 2^-3 = 1/8

For the expression 1/3^-2
1/3^-2 = 1/(1/3^2)

1/3^-2 = 3^2

For the expression 5^-1
5^-1 = 1/5^1
5^-1 = 1/5

Also for 1/5^2
1/5^2 = 1/25 = 5^-2

Hence the result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

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Using the concepts of domain and range of functions, we have that:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

Hence, for these problems:

10. The range is y ≥ 2.

11. The domain is all real numbers, the range is y ≤ 3, and it is a function.

12. The domain is (-4,3], and the range is (-5,5).

In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.

In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.

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$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:

Solving for x,

The sales tax rate is 2%

Answer:

in Right triangles you can use this formula to find altitude by using two parts which altitude has made on the base

H² = b¹ × b²

So using this formula (which can be proven by triangle similarity) can help us to find x

10² = 4x × x ===>> x =5

a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

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The recorded sample average of 54 hours per week is clearly a mistake. It must be 48 hours just like the population mean.

In this scenario, the statement that the recorded sample average of 54 hours per week is a mistake and should be 48 hours is true. The given information states that professional ballet dancers in NYC train an average of 48 hours per week. However, when a random sample of 35 dancers was selected, it was found that the average practice per week in that sample was 54 hours.

Since the sample average of 54 hours deviates from the known population mean of 48 hours, it suggests that there might have been an error or an unusual occurrence in the data collection or recording process. It is highly unlikely for the average practice per week in a random sample to exceed the known population mean by such a significant margin.

Therefore, it can be concluded that the recorded sample average of 54 hours per week is an outlier or mistake, and it should align with the population mean of 48 hours.

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the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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Answer:

the moment of inertia of the uniform cylinder is 0.154 kg * m^2.

Step-by-step explanation:

The implied population in the information provided is (e) the nitrogen concentration (mg nitrogen/1 liter of water) in the entire lake.

The information states that government agencies are monitoring water quality and its effect on wetlands, specifically focusing on the concentration of nitrogen in water draining from fertilized lands. To study this, twenty-eight samples of water were taken at random from a lake, and the nitrogen concentration was determined for each sample.

The purpose of taking these samples and analyzing the nitrogen concentration is to make inferences about the overall nitrogen concentration in the entire lake. The goal is to assess the impact of nitrogen on fish and wildlife in the lake. Therefore, the implied population in this case is the nitrogen concentration in the entire lake, which is the target of the monitoring efforts.

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The solution (2, 2) means that 2 adults and 2 children boarded the raft and the weight of the raft didn't exceed its maximum weight.

The solution (5, 0) means that 5 adults boarded the raft and the weight of the raft exceeded its maximum weight.

Based on the information provided above, a system of linear inequalities that represent both the minimum (least) and maximum (most) weight Chase can carry in terms of rafters is given by;

Minimum: 75x + 50y ≥ 150

Maximum: 200x + 100y ≤ 800

where:

For the first trip wherein, Chase guides 2 adults and 2 children;

75x + 50y ≥ 150

75(2) + 50(2) ≥ 150

150 + 100 ≥ 150

250 ≥ 150 (True).

200x + 100y ≤ 800

200(2) + 100(2) ≤ 800

400 + 200 ≤ 800

600 ≤ 800 (True).

For the second trip wherein, Chase guides 5 adults;

75x + 50y ≥ 150

75(5) + 50(0) ≥ 150

375 + 0 ≥ 150

375 ≥ 150 (True).

200x + 100y ≤ 800

200(5) + 100(0) ≤ 800

1,000 + 0 ≤ 800

1,000 ≤ 800 (False).

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Complete Question:

Chase estimates the weight of each adult as approximate 200 pounds and the weight of each child under age sixteen as approximate 100 pounds. Chase charges adults $75 and children under age sixteen $50 to ride down the river with him. His goal is to earn at least $150 each rafting trip.

To write an inequality to represent the most weight Chase can carry in terms of rafters. Define your variables.

Step-by-step explanation:

Total sales

Rs 5000- Rs 500= Rs 4500

The required amount received by the businessmen is 4500, from the sale.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the money businessman get be x,
According to the question,
x + commission of the agent = 5000

x + 500 = 5000
x = 4500

Thus, the required amount received by the businessmen is 4500.

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The average of the table is 4 and the standard deviation is 1.1547.

The average of the table is calculated using the formula (Sum of all data points) / (Number of data points). In the given table, the average is (2 + 5 + 3 + 4 + 6 + 4 + 3) / 7 = 4.

The standard deviation is calculated using the formula (Sum of Squared Differences / (Number of Data Points -1))1/2. In the given table, the standard deviation is ((\(2-4^{2}\)+ \(5-4^{2}\) +\(3-4^{2}\) + \(4-4^{2}\) + \(6-4^{2}\) + \(4-4^{2}\) + \((3-4)^{2}\) / (7-1))1/2 = 1.1547.

Therefore, the average of the table is 4 and the standard deviation is 1.1547.

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Answer:

The first question provided (question 11)

The answer is $118.00

The second question provided (question 12)

The answer is 20 seconds

Step-by-step explanation:

The first question provided (question 11)

The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.

It is stated that there are 17 adults and 11 children attending an event.

You can substitute in the 17 adults in place of a and the 11 children in place of c.

This will leave you with 5(17) + 3(11).

If you simplify you will get 85 + 33, which is equal to 118

Therefore, the answer is $118.00.

The second question provided (question 12)

The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.

You are given the clock was set 4 weeks ago.

You can subsitute the 4 weeks into the equation in place of variable w.

This leaves you with s = 5(4).

Simplifying this further, you will get s = 20.

Therefore, the clock is 20 seconds behind.

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

1/2

Explanation:

If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:

Therefore, the answer is 1/2

The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given a shipment of 8 computers contain 4 with defects.

That means 8 -4 = 4 computers have no defect.

To find the probability;

we have 8 possible computers and 4 computers have no defect.

The probability;

= 4 /8

= 1/2

= 0.5

Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

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Answer:

Step-by-step explanation:

6/5 =18/x

Which can be written as:

6/18 =5/x

=> 1/3 = 5/x (since 6 and 18 are divisible by 6)

=> x*1=5*3

=> x = 15. Ans

Answer:

Yes, 5 is multiplied by three so multiply 6 by 3. This gets us 18.

Step-by-step explanation:

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

Answer:

176

Step-by-step explanation:

54×8=432

8×4=32

32×8=256

432-256=176

Answer:

x = 960

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large triangle )² = ( part of hypotenuse below it) × ( whole hypotenuse), so

x² = 576 × (576 + 1024) = 576 × 1600 = 921600 ( take square root of both sides )

x = \(\sqrt{921600}\) = 960

The derivative of y = (5x^2 + 3x)/(e^(5x) + e^(-5x)) is given by the above expression.

To find the derivative of the given functions, we can use the power rule, product rule, and chain rule.

For the first function:

y = (2x - 10)(3x + 2)/2

Using the product rule, we differentiate each term separately and then add them together:

dy/dx = (2)(3x + 2)/2 + (2x - 10)(3)/2

dy/dx = (3x + 2) + (3x - 15)

dy/dx = 6x - 13

So, the derivative of y = (2x - 10)(3x + 2)/2 is dy/dx = 6x - 13.

For the second function:

y = (5x^2 + 3x)/(e^(5x) + e^(-5x))

Using the quotient rule, we differentiate the numerator and denominator separately and then apply the quotient rule formula:

dy/dx = [(10x + 3)(e^(5x) + e^(-5x)) - (5x^2 + 3x)(5e^(5x) - 5e^(-5x))] / (e^(5x) + e^(-5x))^2

Simplifying further, we get:

dy/dx = (10x + 3)(e^(5x) + e^(-5x)) - (5x^2 + 3x)(5e^(5x) - 5e^(-5x)) / (e^(5x) + e^(-5x))^2

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Answer:

117,000

Step-by-step explanation:

45% of 260,000

= 9/20 of 260000

= 260000/20 =13000

= 13000*9

= 117,000

So the amount of people who are not alive is 117000

The expected number of 45-year old people in Apex Ville expected to not be alive in one year is 819.

The expected value of a discrete random variable X, denoted as E(X), is also known as the long-term average or mean (denoted as ). This means that if you repeat an experiment over and over, you can expect this average.

The projected number of 45-year-olds in Apexville who will die in one year is calculated by multiplying the proportion of individuals who are predicted to die by the number of 45-year-olds, which is 260,000.

According to the table at the end of the answer, the proportion of 45-year-olds who are not anticipated to live another year is:

= 315/100,000.

So, the expected number of deaths in the year is

E(X) = 260,000 x 315/100,000

E(X) = 2.6 x 315

E(X) = 819.

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