Answer plz thanks I will give 10 points

Answer:

Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package

Step-by-step explanation:

The given parameters are;

The number of stamps Lashawn used to mail the small package = 44

The price of the combination of 44 stamp = $15.01

The price categories of the stamps are $0.50, $0.35, and $0.02

The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9

Let, x represent the number of $0.50 stamps Lashawn used to mail the package

We have;

The number of $0.50 stamps Lashawn used to mail the package = x

The number of $0.35 stamps = 2 × x - 9 = 2·x - 9

The number of $0.35 stamps = 2·x - 9

The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x

The number of $0.02 stamps = 53 - 3·x

Which gives;

0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01

0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01

1.14·x - 2.09 = 15.01

1.14·x = 15.01 + 2.09 = 17.1

x = 17.1/1.14 = 15

x = 15

The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps

The number of $0.50 stamps Lashawn used = 15 stamps

The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps

The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.

Answer:

I think the range is 74

Answer:

9 scoops

Step-by-step explanation:

3 scoops = 45g

3/45 scoops = 1g

3/45*135 scoops = 135g = 9 scoops

As a result, SI = $194.25 is calculated as the simple interest collected on the sum of $7400.

Simple interest is just the percentage that is added to the loaned or borrowed principal amount. Similar to this, you can also receive interest by depositing a specific sum in a bank. Several sectors, including banking, mortgages, vehicles, and other financial organisations, heavily rely on the idea of simple interest.

Given data:

Formula for calculation of  simple interest:

SI = PRT / 100

SI = 7400* 10.5*0.25 / 100

SI = 19425 / 100

SI = 194.25

As a result, SI = $194.25 is calculated as the simple interest collected on the sum of $7400.

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Complete question:

Find the simple interest for the sum of $7400 at  rate of interest of 10.5% for period of 1/4 years.

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

16  1/4  turns

Step-by-step explanation:

6 1/2   t/in    *   2 1/2  in = 13/2 * 5/2 = 65/4 = 16  1/4 turns

Answer:

The probability of getting a 4 on the first spin is 1/3, the probability of getting a 3 on the second spin is 1/3, and the probability of getting a 1 on the third spin is 1/3. The probability of all three events occurring in order is the product of these individual probabilities, which gives 1/27 or approximately 0.037 or 3.7%

If at time t the population size is N(t)=N(0)\(2^t\) , the per capita growth rate of the bacterial colony is ln(2) / t.

The per capita growth rate of a bacterial colony can be found using the formula r = (ln(N(t)) - ln(N(0))) / t, where N(t) is the population size at time t, N(0) is the population size at time 0, and t is the time elapsed.

In this case, we have N(t) = N(0) * \(2^t\), so we can substitute this into the formula to get:

r = (ln(N(0) * \(2^t\)) - ln(N(0))) / t

Simplifying this expression, we can use the logarithmic rule that ln(a*b) = ln(a) + ln(b) to get:

r = (ln(N(0)) + ln(\(2^t\)) - ln(N(0))) / t

r = ln(2) / t

This means that the population size of the colony doubles every ln(2) / t units of time, since the population size is given by N(t) = N(0) * \(2^{rt\). This growth rate is commonly used in exponential growth models, and it is useful in understanding the rate of population growth and the impact of various factors on the growth rate.

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Complete question is:

Suppose that a bacterial colony grows in such a way that at time t the population size is N(t)=N(0)\(2^t\) where N(0) is the population size at time 0. find the per capita growth rate.

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

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Answer:

34^12  - which is approximately 2.386420684^18

Step-by-step explanation:

By the laws of indices:

(34^2)^6

= 34^(2*6)

= 34^12

- which is approximately 2.386420684^18

The probability that the player has all 8 of the number selected by the lottery commission is approximately 1.3 × 10^-9.

There are a total of 40 numbers that can be chosen for the lottery. Out of those 40 numbers, a player must select 8 numbers. The lottery commission will also randomly select 8 numbers from those 40. If a player has all 8 of the numbers selected by the lottery commission, then they will win. The number of ways to choose 8 correct numbers is simply 1, since there is only one set of 8 numbers that the player can choose that matches the 8 numbers selected by the lottery commission.

The number of ways to choose any 8 numbers from 40 is given by the combination formula:

P = (40! / (8! (40 - 8)!) = 769,046,685

Therefore, the probability that the player has all 8 numbers selected by the lottery commission is:

P(all 8 numbers are correct) = 1 / 769,046,685 = 1.3 × 10^-9 (approximately).

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Hypothesis testing would help evaluate the validity of President Trump's belief by providing statistical evidence to support or reject the claim of widespread illegal voting.

In a similar fashion to the legal analogy example, hypothesis testing can be used to examine President Donald Trump's belief that 3 to 5 million people voted illegally in the presidential election.

To conduct a hypothesis test, we can define the null hypothesis (H0) and the alternative hypothesis (Ha). In this case, the null hypothesis would be that there is no significant illegal voting, while the alternative hypothesis would be that there is significant illegal voting.

Next, we would collect data on voting records, investigate cases of potential illegal voting, and analyze the data to determine if it provides evidence for or against the null hypothesis. Statistical techniques such as sampling, data analysis, and inferential statistics can be utilized to test the hypothesis.

For example, we could randomly sample a subset of voting records and compare them against various criteria to identify any potential instances of illegal voting. Based on the results, we can calculate test statistics and p-values to determine if the evidence supports or refutes the claim of illegal voting.

Ultimately, hypothesis testing would help evaluate the validity of President Trump's belief by providing statistical evidence to support or reject the claim of widespread illegal voting.

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Answer:

1 / 8

Step-by-step explanation:

There are 2 + 8 + 6 slips in total

There are 2 Wednesday slips.

2 / 16 = 1 / 8

The width of the rectangle with area 70y⁸+ 30y⁶ is; 10y⁶.

Then the length of the rectangle with area 70y⁸+ 30y⁶ is; (7y² + 3).

The area of a rectangle is given by;

Area = Length× width

Given that;

The area of the rectangle = 70y⁸ + 30y⁶

Now, 70y⁸ can be broken down to; 7×5×2×y×y×y×y×y×y×y×y

And 30y⁶ can be broken down to; 5×3×2×y×y×y×y×y×y

The common factors of 70y⁸ and 30y⁶ are = 5,2,y,y,y,y,y,y

Thus, the greatest common factor of 70y⁸ and 30y⁶ is;

5×2×y×y×y×y×y×y = 10y⁶

Therefore our area 70y⁸+ 30y⁶ can be factorized to get;

A = 10y⁶(7y² + 3)

The greatest common monomial of 70y⁸+ 30y⁶ is 10y⁶ which is the width of the rectangle.

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Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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Answer:yes

Step-by-step explanation:

Answer:

You just estimated

Step-by-step explanation:

Answer:

  C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

__

The x-intercept is the value of x that satisfies the equation when y=0.

  -5x +2·0 = 1

  x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

  -5·0 +2y = 1

  y = 1/2 . . . . . . divide by the coefficient of y

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is not a curve. D is eliminated because the suggested points have coordinates with opposite signs. The correct choice is C:

  It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)

The value of x is 49/58 − 7/58 = 42/58.

This states that in a triangle, the square of the length of a side is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

The value of x can be calculated using the Law of Cosines.

For triangle ABC, the Law of Cosines can be written as follows:

AB2 = AC2 + BC2 − 2AC × BC × cos60

(2x + 1)2 = (2x − 1)2 + (−7)2 − 2 × (2x − 1) × (−7) × cos60

4x2 + 4x + 1 = 4x2 − 4x + 1 + 49 + 14x − 14 × cos60

0 = 58x + 49 − 14 × cos60

58x = 49 − 14 × cos60

x = 49 − 14 × cos60/58

Substituting the value of cos60 = 0.5 into the equation, we get:

x = 49 − 7/58

Therefore, the value of x is 49/58 − 7/58 = 42/58.

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The expression, use the f and g graphs that are provided (assume that each point lies on the grid lines) (f * g)(1) =  f(g(1)). A graph is a diagram or visual representation that organizes the presentation of facts or values.

In mathematics, a graph is a visual representation or diagram that arranges facts or values. The relationships between two or more objects are often shown by the points on a graph. No two vertices in a simple network are connected by more than one edge, and no edge starts or ends at the same vertex. To put it another way, a simple graph is one that has few loops and edges. Since they make information easily accessible and understandable, graphs and charts are valuable visual tools. So, it is not unexpected that print and electronic media frequently use graphs.

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Answer:

\(enjoy \: \\ it \\ \\ \)

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.

From the question, the given statement is:

A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.

The given statement is always true.

Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:

We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.

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Final Answer: \((x + 7)(x + 8)\)

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials \(x^{2} + 15x + 56\)

Step 1: Ask: Which two numbers add up to \(15\) and multiply to \(56\)?

\(7\) and \(8\)

Step 2: Rewrite the expression using Step 1.

\((x + 7)(x + 8)\)

~I hope I helped you :)~

The length of the diagonal LN would be 8.60 units.

To find the distance between the two coordinates, We use distance formula ;

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
Lets put the values of L and N,
d= \(\sqrt{(0 - -5)^2 + (-3-4)^2}\)

d =\(\sqrt{25+49}\)

d= \(\sqrt{74}\)

d= 8.60 units

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Answer:

9

Step-by-step explanation:

If the ramp had a slope of 1, the answer would be 6. However, because it has a slope of 2/3, the ramp travels 3/2 times the amount it would if the slope was 1, and moreover so would the ball. Therefore, by multiplying 2/3 by 3/2, the ball traveled 9 feet. I hope this helps! I would call this subject general geometry.