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The concept which is the main idea of estimating a population​ proportion is

C. Using a sample statistic to estimate the population proportion is utilizing descriptive statistics.

The concept stated in option C is not a main idea of estimating a population proportion.

Estimating a population proportion involves inferential statistics, which is concerned with making inferences or drawing conclusions about a population based on information from a sample. In this context, descriptive statistics refers to methods that summarize and describe the characteristics of a sample or population, such as measures of central tendency and variability.

The main ideas of estimating a population proportion include:

A. The sample proportion is the best point estimate of the population proportion: When estimating a population proportion, the sample proportion (the proportion observed in the sample) is commonly used as the point estimate for the population proportion. This is because it provides an unbiased estimate of the unknown population proportion.

B. Knowing the sample size necessary to estimate a population proportion is important: The sample size plays a crucial role in estimating a population proportion. A larger sample size generally leads to a more precise estimate with a smaller margin of error. Determining an appropriate sample size is essential to ensure the desired level of confidence and accuracy in the estimate.

D. We can use a sample proportion to construct a confidence interval to estimate the true value of a population proportion: Constructing a confidence interval is a common method to estimate the true value of a population proportion. By using the sample proportion along with the standard error and a chosen level of confidence, a range of values is calculated within which the true population proportion is likely to fall.

In contrast, option C refers to using a sample statistic to estimate the population proportion by utilizing descriptive statistics. However, estimating a population proportion typically involves inferential statistics rather than descriptive statistics.

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The correct option is the third one. The statement "The \(\lim_{x \to \0} f(x)=4\) because both the left hand and the right hand limit is equal to 4" identifies and explains the function of limit.

The limit function in mathematics is a way of finding the value that a function or sequence approaches as the input values approach a certain point. It is used to determine the behavior of a function as the input values approach a certain point or their maximum or minimum values.

Where the above two limits say that when we approach zero from the negative side (the first one) and from the positive side (the second one), we must get the same value.

Remember that the limit is an approximation through near points.

Then, regardless the fact that f(0) = -2, we can see that as x approaches 0 from both sides, the value of the function approaches 4.

Thus, we can conclude that the limit of f(x) when x tends to zero is equal to 4.

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Answer:

x=-3

Step-by-step explanation:

5x+3=2x-6

-2x (both sides)

3x+3=-6

-3 (both sides)

3x=-9

divided by 3 (both sides)

answer is x=-3

Answer:

x= -3

Step-by-step explanation:

Answer:

19

I first do plus 2and 7 and 10=z

∃x(Tx ∧ ¬Hx) is the predicate logic representation of the English sentence "Some tall people are not happy" and ¬∃x(Hx) is the predicate logic representation of the English sentence "No one is happy."

To translate the following English sentence "No one is happy" into the language of predicate logic (RL) we can write it as, ¬∃x(Hx).In this expression, ∃x is the existential quantifier. It indicates the existence of an object in the given domain that satisfies a specific condition.For the given statement, we know that no one is happy. So, Hx should be false for all individuals in the domain. Therefore, the negation sign ¬ should be used to specify that the condition of being happy is false for every human being. Hence, the final predicate logic representation of the given sentence will be ¬∃x(Hx).To translate the English sentence "Some tall people are not happy" into the language of predicate logic (RL), we can write it as ∃x(Tx ∧ ¬Hx).In this expression, ∃x is the existential quantifier that represents that there is at least one object in the domain that satisfies the given condition, i.e., there exists a person who is both tall and not happy. Therefore, the final predicate logic representation of the given sentence will be ∃x(Tx ∧ ¬Hx).

∃x(Tx ∧ ¬Hx) is the predicate logic representation of the English sentence "Some tall people are not happy" and ¬∃x(Hx) is the predicate logic representation of the English sentence "No one is happy."

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Answer:

A.   Y= 2x+1

Step-by-step explanation:

The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value  and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.

Answer:

Step-by-step explanation:

Answer:

3√10

Step-by-step explanation:

√3 * √5 * √6

= √3 * √5 * √2 * √3                        (Split √6, as it will be easy)

= √9 * √5 * √2                                (Multiply √3 * √3 = √9 = 3)

= 3√10

For a uniform distribution random variable X, the probability that the random variable has a value between 0.6 and 2.1 is equals to 0.1875. So, option(a) is right one.

The uniform distribution is defined as a continuous probability distribution and the events are equally likely to occur. In other words in this distribution every possible outcome has an equal probability. There is a uniform distribution of variable. Let the random variable be denoted by X be uniformly distributed. The above figure shows uniform density curve for X. That is \( X \: \tilde \: \: U( 0, 8) \).

Probability density function is f(x) = \(\frac{ 1}{8} = 0.125\)

We have to determine probability that the random variable has a value between 0.6 and 2.1, P(0.6 ≤ X ≤ 2.1). So, required probability is P(0.6 ≤ X ≤ 2.1) = \(\int_{0.6}^{2.1} f(x) dx \).

\(= [ 0.125x ]_{0.6}^{2.1}\)

= 0.125 ( 2.1 - 0.6)

= 0.125 ( 1.5)

= 0.1875

Hence, required value is 0.1875.

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Complete question:

the above figure complete the question.

Using the uniform distribution density curve answer the question :

what is the probability that the random variable has a value between 0.6 and 2.1?

a) 0.1875

b) 0.4625

c) 0.3375

d) 0.2125

Answer:

Andre has more money because he has $120 in his account after four weeks and Elena has $90 in her account after four weeks and $120 in more than $90.

Step-by-step explanation:

$5 * 4 = $20

$20 * 4 = $80

$100 + $20 = $120

$10 + $80 = $90

Andre = $120

Elena = $90

For all histograms, the area of a rectangle is proportional to the percentage of observations in the corresponding interval.

A histogram is a graphical representation of data that shows the distribution of a variable.

It consists of a series of rectangles, where the width of each rectangle represents a specific interval or class interval, and the height of each rectangle represents the frequency or count of observations within that interval.

The total area of all the rectangles in a histogram represents the total number of observations or the total frequency of the dataset.

Since the height of each rectangle represents the frequency, the area of each rectangle is determined by multiplying the width of the interval by its corresponding frequency.

In a well-constructed histogram, the area of each rectangle is directly proportional to the percentage of observations within the corresponding interval.

This means that the larger the area of a rectangle, the higher the percentage of observations in that interval. Similarly, the smaller the area of a rectangle, the lower the percentage of observations in that interval.

By calculating the area of each rectangle and comparing it to the total area of the histogram, we can determine the relative frequency or percentage of observations in each interval.

This allows us to visualize and analyze the distribution of the data and identify patterns or trends within the dataset.

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Answer:

-6/5

Step-by-step explanation:

The slope is (4 - (-2)) / (-1 - 4) = (4 + 2) / (-5) = 6 / -5 = -6/5.

Answer:

-6/5

Step-by-step explanation:

We can find the slope by using the slope formula

m = (y2-y1)/(x2-x1)

    = (4 - -2)/(-1 -4)

   = (4+2)/ ( -1-4)

   =-6/5

Answer:

42 plants

might be easier to find how many plants are planted in 1 hour then multiply that by 6. In this case, 7 plants will be planted within an hour. So, multiply 7 x 6 to get 42.

Given that the household is located in the northeast, there is a 0.230 probability that the randomly chosen US household makes more than $75,000.

Given info;

19.1% of US households, according to the US Census Bureau, are in the Northeast. Additionally, 4.4% of households in the US earn $75,000 or more annually and are situated in the northeast.

let, A represents the U.S. households in the Northeast.

     B represents the U.S. households earning $75,000 or more.

To determine the probability that a randomly selected US household earns more than $75,000/year, given that the household is located in the northeast.

P(A) = 19.1% = 0.191

P(A ∩ B) = 4.4% = 0.044

P(B I A) = P(A ∩ B) / P(A)

            = 0.044 / 0.191

            = 0.230

Hence, the probability that a randomly selected US household earns more than $75,000/year, given that the household is located in the northeast is 0.230.

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The formula for the monthly loan payment is given as

Where

P = loan amount ( initial principal) = $15000

A= Payment amount per period = ?

r = interest rate per period = (5/12) x (1/100) =0.0041667

n = total number of payments or periods = 4 years = 4 x 12 = 48 months

Substituting all these into the above equation gives

So each month he pays $345.44 to the nearest cent

B)

The total interest for the loan is given by

Total amount paid over the total period of time - Original amount borrowed

Total amount paid over the total period of time = 345.44 x 48 months = $16581.12

The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12

The total loan interest to the nearest cent = $1,581.12

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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Answer:

25.

Step-by-step explanation:

FGH-G = 3x5x2 - 5 = 30 -5 =25.

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

\(0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50\)

Answer:

12x - 8y

Step-by-step explanation:

Answer:

B

Because the right side is double the number on the left

Answer:15

Step-by-step explanation:

Answer:

44+

Step-by-step explanation:

just got it correct

Answer:

The answer is turtle

Step-by-step explanation:

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The inspector expects to find 50 boxes in a batch,  flood boxes

\(\frac{1}{5}*50\)  = 10

According to the question, given that

A factory worker inspected a batch of wooden boxes she found that 3 were flawed and 12 were not considering this data .

If  the inspector to find in a batch of 50 boxes

then,

The possibility of flawed ⇒ \(\frac{3}{3 + 12}\) = \(\frac{3}{15}\) = \(\frac{1}{5}\)

{a total of 3 + 12 boxed inspected when flawed boxes were}

∴ The inspector to find in a batch of 50 boxes, flood boxes = \(\frac{1}{5}*50\)  = 10

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

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The inspector expects to find 50 boxes in a batch,  flood boxes

 \(\frac{1}{5*50}\) = 10

In response to the query, assuming that

When a manufacturing worker examined a batch of wooden boxes, she discovered that 3 were defective and 12 did not take this information into account.

with a batch of 50 cartons that the inspector discovers

then,

The possibility of flawed ⇒ \(\frac{3}{3+12}\)  = \(\frac{3}{15}\) = \(\frac{1}{5}\)

{a total of 3 + 12 boxed inspected when flawed boxes were}

∴ The inspector to find in a batch of 50 boxes, flood boxes = \(\frac{1}{5*50}\)  = 10

Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

Answer: 119 minutes

Step-by-step explanation: