Select the coordinates of two points that are on the line x = 5.

Answer:

707.9 cm³

Step-by-step explanation:

What is the volume of a spherical shell with inner radius 7 and outer radius 8?

The formula for the volume of a sphere is given as;

= 4/3 × π × r³

From the above question:

inner radius 7 and outer radius 8

Hence, the volume of a sphere with

inner radius 7 and outer radius 8 is calculated as:

V = (4/3 × π × 8³ ) - (4/3 × π × 7³)

V = 4/3 × π ×(8³- 7³)

V = 4/3 × π × (512 - 343)

V = 4/3 × π × 169

V = 707.9055446 cm³

V = 707.9 cm³

Answer:

682.6666666666666666666 pie

Step-by-step explanation:

put the formula for volume

Answer:

(x-4)^2 + (y +1)^2=196

Step-by-step explanation:

hope this helps

Answer:

The answer is 941/1000.

Step-by-step explanation:

The simplified decimal is 0.941 and the 1 is in the thousandth place.

Hope this helped!

The unknown number (x) must be less than or equal to 11/3 to satisfy the given condition.

The question is asking for an inequality using a variable, that represents the given situation. We are given that four increased by the product of a number (x) and 6 is at most 26. The inequality that represents this is:

4 + 6x ≤ 26

This inequality states that when you multiply a number (x) by 6, add 4 to the product, the result should be less than or equal to 26. To solve for x, you can follow in detail these steps:

1. Firstly, subtract 4 from both sides: 6x ≤ 22  

2. Then secondly, divide both sides by 6: x ≤ 22/6 or x ≤ 11/3

So, the unknown number (x) must be less than or equal to 11/3 to satisfy the given condition and this is the final answer.

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The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Answer:

x=24°

The triangle is an obtuse isosceles triangle

Step-by-step explanation:

This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.

The interior angles of a triangle add up to 180, so let's make an equation.

132+2x=180

Then solve for x

subtract 132 from both sides

2x=48

Divide by 2 on both sides

x=24

Answer:

The opposite of -3 5/8 is on the right (or opposite) side of zero on the number line as -3 5/8. The opposite of 4 2/9 is on the left (or opposite) side of zero on the number line as 4 2/9.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

Answer:x has to be greater than or equal to 64 baseball cards

Step-by-step explanation:

16 cards multiplied 4 times equal 64 with is the minimum number of cards given to his friends

Answer:

  2

Step-by-step explanation:

Corresponding sides are proportional in these similar triangles.

__

  short side/long side = k/4 = 4/8

  k = 4(4/8) . . . . multiply by 4

  k = 2

_____

Additional comment

The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...

  l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN

  l = 2√5

  m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN

  m = 4√5

The similarity statements are ...

  ΔLMN ~ ΔLNO ~ ΔNMO

Answer:

6x^2 -9x  -2x-3

6x^2 -11x +3

Step-by-step explanation:

Answer: -5x+3 hope this helps

Step-by-step explanation:

Answer:

10 seconds, decreasing, standing still

Step-by-step explanation:

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

The null hypothesis is equal to 4.50, alternative hypothesis is not equal to 4.50. The test statistic is -1.35 we fail to reject the null hypothesis and do not have sufficient evidence.

To test the claim that the population mean of student course evaluations is equal to 4.50, we can set up the following hypotheses:

Null hypothesis (H₀): The population mean is equal to 4.50.

Alternative hypothesis (H₁): The population mean is not equal to 4.50.

Given that the sample size is n = 80, the sample mean is x' = 4.39, and the sample standard deviation is s = 2.29, we can calculate the test statistic and the P-value.

The test statistic is calculated using the formula:

t = (x' - μ) / (s / √n),

where x' is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values into the formula:

t = (4.39 - 4.50) / (2.29 / √80) ≈ -1.35.

Next, we can find the P-value associated with the test statistic using a t-distribution table or a statistical calculator. The P-value represents the probability of observing a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. In this case, the P-value is approximately 0.182.

Finally, we compare the P-value to the significance level of 0.05. If the P-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the population mean is different from 4.50.

If the P-value is greater than or equal to 0.05, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the population mean is different from 4.50.

The final conclusion is we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the population mean is different from 4.50.

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When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.

If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.

Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.

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The expense type which is true is , indebtedness expense as because they are the  minimum monthly payments you make on your loans and credit card.

Being in debt to someone else or owing them money is the state of being indebted. A person who owes money has either borrowed money or obtained goods or services in exchange for a promise to repay the money.

Someone can owe money for both present-day obligations and obligations that they anticipate having in the future. For instance, the term "indebtedness" can relate to a person's mortgage or a car loan.

The majority of people cannot afford to buy a home or a car outright, thus they owe the bank the amount of the loan that was granted to them. When you use a credit card to make purchases like apparel or travel expenses, you become indebted. Being in debt is not the same as not making payments.

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Step-by-step explanation:

To convert 5 1/5 decimeters to centimeters, we need to multiply the value by 10.

1 decimeter is equal to 10 centimeters, so 5 1/5 decimeters would be:

5 1/5 decimeters * 10 centimeters/decimeter = (5 + 1/5) * 10 centimeters

To perform the calculation, we first convert the mixed number to an improper fraction:

5 1/5 = (5 * 5 + 1)/5 = 26/5

Now, we can multiply the fraction by 10:

(26/5) * 10 = 260/5 = 52

Therefore, 5 1/5 decimeters is equal to 52 centimeters.

Proofs and Fundamentals: A First Course in Abstract Mathematics" is a textbook that provides an introduction to the fundamental concepts and techniques of abstract mathematics, with a focus on proof writing and logical reasoning.

Unfortunately, as an AI language model, I do not have access to specific solutions or resources like textbooks. However, the book is designed to guide students through various topics such as logic, sets, functions, relations, and basic proof techniques.

It aims to develop students' ability to think critically and construct rigorous mathematical arguments. It is recommended for individuals seeking to enhance their understanding of abstract mathematics and develop foundational skills in proof writing and problem-solving.

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Answer:

Volume of a sphere- (4/3) x π x r3

(4/3) x 3.14 x 4 x 4 x 4

= (4/3) x 3.14 x 64

= 267.94

The cost for question 8e is $35.

In order to determine the cost for question 8e, we need to consider the table provided in the question. The table presents the cost of purchasing a device from two different websites, with one website offering a discounted price for the device.

The table also includes the cost of shipping and handling (S&H) for each website.The cost for question 8e can be calculated as follows:Cost = (Price + S&H) - DiscountThe website offering a discounted price for the device is Website B, where the device costs $160.

However, Website B charges a higher S&H fee of $15. Therefore, the total cost of purchasing the device from Website B is $160 + $15 = $175.The website offering the device at its regular price is Website A, where the device costs $200.

However, Website A charges a lower S&H fee of $10. Therefore, the total cost of purchasing the device from Website A is $200 + $10 = $210.To determine the cost for question 8e,

we need to find the difference between the total cost of purchasing the device from Website A and Website B.

This can be calculated as follows:Cost = Total cost from Website A - Total cost from Website BCost = ($200 + $10) - ($160 + $15)Cost = $210 - $175Cost = $35

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The mean of the z scores after converting the pulse rates to z scores is 0, and the standard deviation of the z scores is 1. The units of the corresponding z scores are dimensionless.

The process of converting the pulse rates to z scores involves subtracting the mean and dividing by the standard deviation. This transformation standardizes the data and makes it comparable across different distributions. In the case of z scores, the mean is always 0, and the standard deviation is always 1. Therefore, the mean and standard deviation of the z scores in this scenario are 0 and 1, respectively.

Since z scores are calculated by subtracting the mean and dividing by the standard deviation, the resulting values are dimensionless. They represent the number of standard deviations away from the mean. Therefore, the units of the corresponding z scores are neither "beats per minute," "beats," nor "minutes per beat." They are simply numerical values without specific units.

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Answer: 22%

Step-by-step explanation:

The percentage of a circle graph that  orange juice drinks would occupy is 23%

Numbers or people =245

Numbers of people who preferred to drink orange juice=56

Percentage of circle graph=56/245

Percentage of circle graph=0.229*100

Percentage of circle graph=23% (Approximately)

Inconclusion The percentage of a circle graph that  orange juice drinks would occupy is 23%

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a. The probability that three people have different birthdates is 0.9918.

b. The probability that ten people have different birthdates is 0.883

c. The effect of birth rate on the probability of 10 randomly chosen people having different birthdates depends on the specifics of the distribution of birthdates.

a. To find the probability that three randomly chosen people have different birthdates, we can use the principle of inclusion-exclusion.

The probability that the first person has a unique birthdate is 1.

The probability that the second person has a birthdate different from the first is 364/365, and the probability that the third person has a birthdate different from the first two is 363/365.

Therefore, the probability that three people have different birthdates is:

1 x 364/365 x 363/365 = 0.9918

b. To find the probability that 10 randomly chosen people all have different birthdates, we can similarly use the principle of inclusion-exclusion.

The probability that the first person has a unique birthdate is 1.

The probability that the second person has a birthdate different from the first is 364/365, and the probability that the third person has a birthdate different from the first two is 363/365.

Continuing in this way, the probability that the tenth person has a birthdate different from the first nine is 356/365.

Therefore, the probability that ten people have different birthdates is:

1 x 364/365 x 363/365 x ... x 356/365 = 0.883

c. If birth rates are higher during some parts of the year than others, then it is possible that there will be more people with the same birthdate, which would decrease the probability that 10 randomly chosen people have different birthdates.

However, the effect of this depends on the distribution of birthdates.

For example, if there are more people born in the summer months, then it may be more likely that the 10 randomly chosen people have different birthdates, since they are less likely to share a birthdate in common.

On the other hand, if there are more people born in a specific month, then it may be more likely that the 10 randomly chosen people share a birthdate in common.

Ultimately, the effect of birth rate on the probability of 10 randomly chosen people having different birthdates depends on the specifics of the distribution of birthdates.

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The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.

Find the greatest common factor of 32 and 48

The greatest common factor of 32 and 48 is 16

So, the greatest number of bags Caesar can make is 16 bags

Number of pasta in each bag = 32/16

= 5 boxes of pasta per bag

Number of sauce in each bag = 48/16

= 8 jars of sauce per bag

If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.

He could use 8 bags but this is not the greatest number he could use.

Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.

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The mean is 35 minutes and the median is 34 minutes.

let's first calculate the mean, median, and mode for Sarah's exercise times: 34, 30, 45, 30, 40, 38, and 28 minutes.

Step 1: Calculate the mean
Add up all the values and divide by the total number of values:
(34 + 30 + 45 + 30 + 40 + 38 + 28) / 7 = 245 / 7 = 35 minutes (rounded)

Step 2: Calculate the median
Arrange the values in ascending order: 28, 30, 30, 34, 38, 40, 45
There are 7 values, so the median is the middle value: 34 minutes

Step 3: Calculate the mode
Determine the value(s) that occur most often: 30 minutes (occurs twice)

Now, should Sarah use the mean or the median to show she exercises for large amounts of time each day? The mean is 35 minutes and the median is 34 minutes. Both values are close and represent the central tendency of the data. However, since the mean is slightly higher than the median, Sarah should use the mean (35 minutes) to show she exercises for a larger amount of time each day.

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Answer:

100 - 6n

Step-by-step explanation:

each book costs 6 and there are n books.

their total price is 6n

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

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Answer: the answer is C

Step-by-step explanation: trust me took the final yesterday ‍♀️

Answer:

C) \(f(x)=(x-1)^\frac{1}{2}\)

Step-by-step explanation:

The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, \(f(x)=(x-1)^\frac{1}{2}\) is correct.

the tradeoff between x and y is such that the weighted sum of their square roots is constant.

To derive the equation for the indifference curve, we need to find the combinations of x and y that yield the same level of utility U. Mathematically, we can express this as:

U(x, y) = constant

Substituting the given utility function, we get:

(.6x.5 + .4y.5)1/.5 = constant

Simplifying, we get:

(.36x + .16y) = constant^2

Dividing by the constant squared, we get:

(.36x + .16y)/constant^2 = 1

This is the equation for the indifference curve, which represents all the combinations of x and y that yield the same level of utility U. The constant represents the level of utility, and the equation shows that the tradeoff between x and y is such that the weighted sum of their square roots is constant.

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Answer:

3a+5b-9

Step-by-step explanation:

8a+2b-4+3b-5

8a+5b-9 add like terms