The value for a given variable in a population is a: a. population parameter b. sample element c. sample statistic d. equal probability of selection method

Step-by-step explanation:

If there are 40 kids and 22 of them play soccer that leaves you to subtract 22 from 40 which gives you 18. After that, you put the rest of the 18 students over a total of 40 and divide to get the decimal .45 and if you convert that into a percent you are left with 45%.

1. 40-22=18

2.18/40=.45

3.45=45%

Let us start by looking at the difference between statistical and non statistical question.

For a statistical question. a single answer is usually impossible while a statistical question has a single answer.

If someone asks how old are you, the answer is simple and it is expected to be a single answer.

If the question is how old are the boys in your neighborhood, a single answer is not possible. The ages are different since some are older than the others. In this case, there is spread in the data. We would be considering looking for the average age of a given number of boys. We may also consider the spread of the ages and other parameters like range, median etc

Answer:

y = 5√2 cm

Step-by-step explanation:

a² + b² = c²

5² + 5² = c²

c² = 50

c = √50

c = √(25 × 2)

c = 5√2

Answer:

3.5

Step-by-step explanation:

The formula for the pH of a solution of hydronium ions is given by the logarithmic equation pH=-log​ [H3O+​], where ​[H3O​+] is the hydronium ion concentration. Find the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4

We have the Logarithmic equation

pH=-log​ [H3O+​],

We have the hydronium ion concentration = 3.2 x 10^-4

Hence,

pH = - log[3.2 × 10 ^-4]

pH = 3.4948500217

Approximately

pH = 3.5

Therefore, the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4 is 3.5

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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Answer:

3.4 is the answer i think

Step-by-step explanation:

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

solution

Borrow = p =  $50

Time periods = t = 1 year

Rate = R = 5 %

interest = I =?

I = P*t*R

I= 50 x 1 x 5/100

I= 2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I=PRT/100

I=$50×5×1 all divided by 100

I=250/100

I=5/2 or $2.50

The simplified polynomial in standard form that results when (3x³)² is subtracted from 4x².

To simplify the polynomial expression (4x² - (3x³)²) in standard form, we first need to square the quantity (3x³):

(3x³)² = (3x³) * (3x³) = 9x^6

Now we can substitute 9x^6 for (3x³)² in the original expression:

4x² - (3x³)² = 4x² - 9x^6

This is the simplified polynomial in standard form that results when (3x³)² is subtracted from 4x².

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Answer:

72.1 hours

Step-by-step explanation:

Let the number of hours be represented as: x

Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.

Convert 2 7/8 pounds to decimal = 2.875pounds

Hence:

252 - 2.875x

Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.

Convert 3 1/3 pounds to decimal = 3.333 pounds

Hence:

285 - 3.333x

How many hours until they have the same amount of fruit left?

This calculated by equating both equation together

252 - 2.875x = 285 - 3.333x

Collect like terms

-2.875x + 3.333x = 285 - 252

0.458x = 33

x = 33 / 0.458

x = 72.052401747 hours

x ≈ 72.1 hours

They would have the same amount of fruit left after 72.1 hours

Step 1

Given;

Step 2

A) For parallel lines the slopes are the same

From the given points the equation of the required line in slope-intercept form is;

B) In standard form, the equation will be;

Answers;

Answer:

I think the answer is 2/-3

Step-by-step explanation:

-3/2

x   y

Rise/Run

Answer:

Step-by-step explanation:

-3-5=-8

-11-(-3)=-11+3=-8

-19-(-11)=-19+11=-8

it is an A.P. and c.d.=-8

so nth term is

an=a1+(n-1)d

an=5-(n-1)(-8)

an=5+8n-8

an=8n-3

Answer:

18.125

Step-by-step explanation:

290 × 0.125 x 0.5 → I = 18.125

Answer:

240 houses

Step-by-step explanation:

Given that:

Number of streets = 4

Length of each street = 3/4 miles long

Street is divided into lots with one house built per lot

1 mile = 5289 feets

3/4 miles = (3/4) * 5280 = 3960 feets

Hence, street is 3960 feets long

Since each lot must have at least 65 feet frontage along the street:

Number of lots per street :

Length of street / frontage length

3960 ft / 65 ft = 60.92

Hence, maximum number of lots per street = 60 lots per street

Maximum number of houses in New neighborhoods :

Number of lots per street × number of streets

= 60 × 4

= 240 houses

The variance of the sample means that is found in the sample distribution that we have here is 0.3333

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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Answer:

Step-by-step explanation:

The measures of the exterior angles of all polygons add up to 360. So all we have to do is subtract the given values from 360 and we will have the missing angle.

a. 55

b. 118

c. 122

d. 50

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Answer:

2x

Step-by-step explanation:

\(\frac{8xy}{4y}\) ← cancel the common factor 4y on numerator and denominator

= 2x

Step-by-step explanation:

hope it's helpful for you

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There are 37 numbers from 1 to 37, inclusive.

The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

How to find and what is probability?

To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.

Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.

Therefore, the probability of choosing a number that is a multiple of 3 is:

P(multiple of 3) = number of multiples of 3 / total number of numbers

P(multiple of 3) = 12/37

So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

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The simplified expression is 4x + 6y^3.

To simplify the expression 2x + x + x + 2y × 3y × y, we can apply the order of operations, which is also known as the PEMDAS rule (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step by step:

1. Simplify the expression within the parentheses: 2y × 3y × y.

  This can be rewritten as 2y * 3y * y = 2 * 3 * y * y * y = 6y^3.

2. Combine like terms by adding or subtracting coefficients of the same variable:

  2x + x + x = 4x.

3. Now we can rewrite the simplified expression by substituting the values we found:

  4x + 6y^3.

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Answer:

Let's call the speed of the bird without any wind current "x".

When flying against the wind, the effective speed of the bird is its speed (x) minus the speed of the wind (4 mph). So, the distance traveled can be expressed as:

distance = speed * time

distance = (x - 4) * 2

When flying with the wind, the effective speed of the bird is its speed (x) plus the speed of the wind (4 mph). So, the distance traveled can be expressed as:

distance = speed * time

distance = (x + 4) * 0.5

We know that these two distances are the same, since the bird is traveling the same distance in both cases. So:

(x - 4) * 2 = (x + 4) * 0.5

Simplifying this equation, we get:

2x - 8 = 0.5x + 2

1.5x = 10

x = 6.67

Therefore, the bird would fly at a constant speed of approximately 6.67 mph without any wind current.

Answer:

The function h(x) represents the cost of the jeans if you first use the coupon and then apply the store discount. The function h(x) can be computed using the composition of functions f(x) and g(x). The function j(x) represents the cost of the jeans if you first apply the store discount and then use the coupon. The function j(x) can be computed using the composition of functions g(x) and f(x).

If you use the composition h(x), you will pay $27 for the jeans. If you use the composition j(x), you will pay $30 for the jeans. Therefore, the composition h(x) will give you a better discount since it is cheaper.

An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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The null hypothesis in a chi-square test for goodness of fit involves frequencies for the entire population, not just proportions or frequencies for the sample. c.

In a chi-square test for goodness of fit, the null hypothesis specifies the expected frequencies or counts for different categories in the entire population being studied.

The test compares the observed frequencies in the sample to the expected frequencies under the null hypothesis to determine if there is a significant difference between the observed and expected distributions.

The chi-square test for goodness of fit assesses whether the observed frequencies in the sample deviate significantly from the expected frequencies specified by the null hypothesis for the entire population. The test evaluates if the observed data supports or contradicts the null hypothesis, which assumes that the observed frequencies follow a specific distribution or proportions.

The null hypothesis in a chi-square test for goodness of fit defines the predicted frequencies or counts for various categories in the total population under investigation.

The test determines if there is a significant discrepancy between the observed and predicted distributions by comparing the observed frequencies in the sample to the anticipated frequencies under the null hypothesis.

The chi-square test for goodness of fit determines if the sample's observed frequencies differ noticeably from the null hypotheses' predicted frequencies for the overall population.

The null hypothesis, which holds that the observed frequencies follow a particular distribution or proportions, is assumed in the test, and it is determined if the observed data supports or refutes it.

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The equation s(n) = 20.bn is an exponential equation, and the hourly percent growth rate of the bacteria would be 85%.

The value of b is given as:

b = 1.85%

Let the hourly percent growth rate of the bacteria be r.

So, we have:

b = 1 + r

Substitute b = 1.85%

1.85 = 1 + r

Subtract 1 from both sides

r = 0.85

Express as percentage

r = 85%

Hence, the hourly percent growth rate of the bacteria would be 85%.

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Answer:

20 and 85%

Step-by-step explanation:

Answer:

\(x=5\)

Step-by-step explanation:

To solve for x, we can use the Exterior Angle Theorem.

The Exterior Angle Theorem states that the exterior angle is equivalent to the sum of the two opposite, interior angles.

So, we can write the following equation:

\((6+25x)=(44)+(18x-3)\)

Now, we just have to solve for x.

On the right, let's subtract. So:

\(6+25x=18x+41\)

Now, let's subtract 18x from both sides. This gives:

\(6+7x=41\)

Now, let's subtract 6 from both sides. This will yield:

\(7x=35\)

And, finally, let's divide both sides by 7, giving us:

\(x=5\)

And we're done!

We can use the Exterior Angle Theorem.

6 + 25x = 44 + 18x - 3

6 + 25x = 18x + 41

25x = 18x + 35

7x = 35

x = 5

Best of Luck!

Answer:48.125

Step-by-step explanation:

Step-by-step explanation:

When a = 6,

7(a + 2) = 7(a) + 7(2) = 7(6) + 7(2) = 7(6) + 14.

Answer:

7(6)+14

Step-by-step explanation:

7(6+2) = 7(6) + 7(2) = 7(6) + 14