Solution for inequalities

Answer: 3

Step-by-step explanation:

When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.

The decision on whether to reject the null hypothesis would be we A. reject the null hypothesis.

Calculate the test statistic (z) using the formula:

z = (x - μ) / (σ / √n)

z = ( 0.47 - 0.5 ) / (0.06 / √76)

z = - 3.29

Determine the critical z - values for a two-tailed test at 1 % significance level (α = 0. 01 ).

z  -critical = ± 2. 576

Since our test statistic z = - 3. 29 is less than the lower critical z-value - 2. 576, we reject the null hypothesis (H₀).

We reject the null hypothesis because there is enough evidence at a 1% significance level to conclude that the cheeseburgers do not have exactly a half pound of meat.

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For the given case the variable we are solving for is temperature and the variable volume needs to be converted to L, liters.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Given that, P equals atmospheric pressure (atm), V equals liters of volume (L), n equals the number of moles, R is the gas constant (0.0821 Latm/(molK)), and T equals Kelvins of temperature (K).

Take into account the following circumstances: a 3,500 mL tank containing 27 moles of argon gas was pressurized to 12 atm.

The ideal gas equation is,

PV=nRT

There are often two different sorts of variables in analytics. We obtained that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.

Thus, for the given case the variable we are solving for is temperature and the variable volume needs to be converted to L, liters.

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Answer:

(-8,2) ; (-7,3) ; (-6,4) ; (-5,5) ; (-4,6)

Step-by-step explanation:

just subtract x from 10

ex

y=x+10

x=-8

y=-8+10

y=10-8

y=2

x=-8 y=2

(-8,2)

The statement, "When using binomial distribution, maximum possible number of "success" is number of trials." is, True because number of success is equal to number of trials.

When using the binomial distribution, the maximum possible number of successes is equal to the number of trials.

In each trial, there are two possible outcomes: success or failure.

The probability of success in each trial is denoted by "p" and the probability of failure is denoted by "q" (where q = 1 - p).

The binomial distribution calculates the probability of obtaining a specific number of successes in a fixed number of trials.

Since the number of possible successes is limited to the number of trials, the statement is true.

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As per the given percent error,

A. The accepted board length is between 15.76 feet to 16.24 feet.

B. The board is rejected if the length is less than 15.76 feet.

Percent error:

Basically, the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage is referred as percent error.

Given,

A sawmill cuts boards that are 16 ft long. After they are cut, the boards are inspected and rejected if the length has a percent error of 1.5% or more.

Here we need to find the following:

A. List some board lengths that should be accepted.

B. List some board lengths that should be rejected.

While we looking at the given question, we obtained the following the details,

Sawmill board length =  16 feet

Percent error = 1.5%

Now we have to find the percentage into decimal form, then we get,

=> 1.5 / 100

=> 0.015

Now, the accepted board length is calculated as,

=> 16 x 0.015

=> 0.24feet.

Now, the lowest board length is

=> 16 - 0.24 = 15.76

And the highest board length is

=> 16 + 0.24 = 16.24

So, the accepted board length is between 15.76 to 16.24 feet.

So, if the board length is less than 15.76, then it can't be accepted.

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Answer:

ight A on top since it's the cmallest followed by B,C,D,E

Step-by-step explanation:

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says \(\frac{d}{dx} x^n = nx^{n-1\)

So, if \(f(x) = 2x^2 + 1\)

then \(f'(x) = 4x\).

The 1 goes away because the derivative of any constant is 0.

hope this helped!

Answer:

b. 4x

Step-by-step explanation:

We can use the power rule for derivatives, which says

So, if

then .

The 1 goes away because the derivative of any constant is 0.

For each of the following populations, a score of X=85 would be considered an extreme score.

whether a score is considered central or extreme, we need to compare it to the mean (μ) and the standard deviation (σ) of the population.

In the first population with μ=75 and σ=15, a score of X=85 would be considered an extreme score. It is located one standard deviation above the mean and falls within the tail of the distribution.

In the second population with μ=80 and σ=2, a score of X=85 would be considered a central score. It is located five standard deviations above the mean and falls within the body of the distribution.

In the third population with μ=90 and σ=20, a score of X=85 would be considered an extreme score. It is located two standard deviations below the mean and falls within the tail of the distribution.

In the fourth population with μ=93 and σ=3, a score of X=85 would be considered a central score. It is located eight standard deviations below the mean and falls within the body of the distribution.

Whether a score is considered central or extreme depends on its position relative to the mean and standard deviation of the population. If the score is close to the mean (within a few standard deviations), it is considered central. If it is far from the mean (several standard deviations away), it is considered extreme.

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Answer:

20

Step-by-step explanation:

A-c and B-c are the same length and rounded would give you 20

Answer:

x+4

Step-by-step explanation:

Answer:

walk out

Step-by-step explanation:

Because there is no walls

The slope of a graph indicates "rate-of-change" between variables. While it can be used to estimate future trends within the observed data range.

The slope of a graph represents the rate of change between two variables. It indicates how the dependent variable changes as the independent variable varies.

A positive slope implies a positive correlation, while a negative slope indicates a negative correlation. The magnitude of the slope reflects the strength and speed of the relationship.

The slope can be used to estimate future trends within the observed data range, caution is advised when extrapolating beyond the data.

Factors such as nonlinearity and other variables may affect relationship, making accurate predictions challenging. It is important to consider these limitations and additional factors for reliable future trend estimation.

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Answer:

\(3^{10}\)

Step-by-step explanation:

\(3^{8}*3^{2}=3^{8+2}=3^{10}\)

Using the multiplication/product law of exponents, you can add the exponents up.

Answer:

3^10 and the law used would be the Product Rule for exponents.

Step-by-step explanation:

turning this question into an equation you would get:

3^8 * 3^2 = ?

The law you use in this situation is the product rule for exponents. If you have the same base number (in this case it is 3) with exponents and you are multiplying them, then you can add the exponent numbers and keep the base the same. This product rule looks like this:

A^x * A^y = A^(x+y)

Applying it to this question, you get

3^8 * 3^2 = 3^(8+2)

3^(8+2) is 3^10.

Therefore the simplified expression is 3^10.

The probability that the sample mean cholesterol level is greater than 205 is 0.62%.

To find the probability that the sample mean cholesterol level is greater than 205, we need to use the standard normal distribution and the formula for a normal distribution.

The sample mean cholesterol level, μ, is the population mean cholesterol level, 196, and the standard deviation of the sample mean, σ, is the standard deviation of the population divided by the square root of the sample size:

μ = 196

σ = 36 / √104 = 3.17

We want to find the probability that the sample mean cholesterol level is greater than 205, so we need to find the area under the curve of the standard normal distribution to the right of z = (205 - 196) / 3.17 = 2.5.

We can use the TI-84 calculator to find this probability by using the normal cdf function. In the function, we enter 2.5 as the lower bound and infinity as the upper bound to find the area under the curve to the right of z = 2.5.

The probability that the sample mean cholesterol level is greater than 205 is about 0.0062, or 0.62%.

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Answer:

Step-by-step explanation:

They all end in 0 or 5 except 627, so all but 627 are divisible by 5.

The following are divisible by 3

285

627 is divisible by 3 (but not 5)

5490 is divisible by 3

7290 is divisible by 3

15780

43695

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

So your answer is

7295

I think that's the only one divisible by 5 but not 3.

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

There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3

For example 285

2 + 8 + 5 = 15.

15 is divisible by 3 so 285 is divisible by 3.

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

7295 = 7 + 2 + 9 +5.  Anything adding up to 9 you can cast out.

7 + 2 = 9 Cast it out

9 = 9       Cast it out

5  is not divisible by 3, so 7295 is not divisible by 3

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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Answer: 90 degrees.

Step-by-step explanation:

Step 1: The smallest angle must be 90/2 = 45 degrees.

Step 2: The largest angle is twice the size of the smallest angle, so it is 90 degrees.

The height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

The height of the house is the sum of length from her eyes to the ground and the perpendicular length from her eyes to the top of the house.

we shall represent the perpendicular length from her eyes to the top of the house with x so that;

tan 25° = x/11 {opposite/adjacent}

x = 11 × tan 25°

x = 5.1294

height of the house = 5 ft + 5.1294 ft

height of the house = 10.1294 ft

Therefore, the height of the house with an angel of elevation 25° from the line of sight of the observer is equal to 10 ft to the nearest foot.

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Possible question:

Figure out the height of the house using these measurements. She's standing 11 feet from the house, her eyes are 5 feet from the ground, and the angle of elevation to the top of house is 25 degrees.

The probability that the sample mean x will be greater than 11 is approximately 9.01%.

To find the probability that the sample mean (x) will be greater than 11 given a sample size of 45 drawn from a population with a mean of 10 and a standard deviation of 5, follow these steps:

Step 1: Calculate the standard error (SE) of the sample mean.

The standard error is given by the formula:

SE = population standard deviation / √sample size.

In this case, SE = 5 / √45 ≈ 0.745.

Step 2: Calculate the z-score corresponding to the given value of x.

The z-score is given by the formula:

z = (x - population mean) / SE.

In this case, z = (11 - 10) / 0.745 ≈ 1.34.

Step 3: Use the z-score to find the probability that x will be greater than 11.

The probability can be found using a standard normal (z) table or a calculator.

A z-score of 1.34 corresponds to a probability of approximately 0.0901 (9.01%).

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Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

x=36

Step-by-step explanation:

17+3 =20

now we have :

x+4

___         = 20

  2

20*2= 40

x+4=40

x=36

hopes this helps

The indefinite integral of x/7 √\((49+x^2)\) dx using the substitution x = 7 tan(θ) is -7√(1 + \((x/7)^2\)) + C.

Let x = 7 tan(θ), then dx/dθ =\(7 sec^2(\theta )\), or dx = \(7 sec^2(\theta)\)dθ.

Substituting into the integral, we get:

∫x/7 √(49+\(x^2\)) dx = ∫tan(θ) √(49 + 49 \(tan^2(\theta)\)) * 7 s\(ec^2\)(θ) dθ

= 7∫tan(θ) sec(θ) sec(θ) dθ

= 7∫sin(θ) dθ

= -7cos(θ) + C, where C is the constant of integration.

Substituting back x = 7 tan(θ), we get:

-7cos(θ) + C = -7cos(arctan(x/7)) + C

= -7√(1 + \((x/7)^2\)) + C.

Therefore, the indefinite integral of x/7 √\((49+x^2)\) dx using the substitution x = 7 tan(θ) is:

-7√(1 + \((x/7)^2\)) + C.

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To get a glimpse of the contents of the DataFrame named "flavors_df," you can use the head() function. This function allows you to view the first few rows of the DataFrame, providing a quick overview of the data organization.

In Python, when you have a DataFrame named "flavors_df," you can use the head() function to view the first few rows of the DataFrame. The head() function is a useful tool for getting an initial understanding of the data's structure and contents. By default, it displays the first five rows of the DataFrame, but you can specify the number of rows you want to see by passing an argument to the function.

Here's an example of how you can use the head() function to view the contents of the "flavors_df" DataFrame:

scss

Copy code

flavors_df.head()

Executing this code will output the first five rows of the DataFrame. If you want to see a different number of rows, you can pass the desired number as an argument to the head() function. For instance, flavors_df.head(10) will display the first ten rows of the DataFrame. This quick glimpse allows you to assess the data's structure and decide on further analysis or data manipulation steps based on the available information.

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Answer:

c ≤5

Step-by-step explanation:

less than or equal is ≤

c ≤5

Answer:

That's the inequality c ≤ 5.

Answer and explanation:

1. 9:12 or \(\frac{9}{12}\) or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \(\frac{8}{16}\) or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \(\frac{9}{10}\) or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \(\frac{10}{12}\) or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \(\frac{12}{9}\) or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \(\frac{8}{6}\) or \(\frac{40}{30}\) or \(\frac{16}{12}\)

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \(\frac{6}{7}\) or \(\frac{42}{49}\) or \(\frac{60}{70}\)

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \(\frac{2}{3}\) or \(\frac{4}{6}\) or \(\frac{20}{30}\)

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

Answer: International Date Line

answer:

it's a function

step-by-step explanation:

according to g00gle- in mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. typical examples are functions from integers to integers, or from real numbers to real numbers.

but the simple definition is that a function is when the x value isn't being repeated. and since in your case it isn't, the table is a function

another way to solve-

for this, we will put the pairs into a graph then perform the line test-

as you can see each point has its own individual line, therefore, meaning it passed the vertical line test

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

\( \frac{x}{8} = \frac{8}{64} \\ 64x = 8 \times 8 \\ 64x = 64 \\ x = \frac{64}{64} \\ \boxed{x = 1}\)