Marco has a collection of 437 bottles. Each month he buys 32 more bottles Write an algebraic expression to represent the number of bottles he has after n months

Answer:

400 guitars

Step-by-step explanation:

200+200=400

Answer:

Alright first It is called B.C. Rich and if they make 200 a day,They would make 400 guitars in 2 days

Step-by-step explanation:

Answer:

The area of the triangle is 70.805 ft squared

Step-by-step explanation:

Step-by-step explanation:

3/8 = 15/40= 75/200

2/5 = 16/40 = 80/200

-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200

Answer: About 5.2 Hours

Step-by-step explanation:

550= 35 x 3x

183.33= 35x

5.2 = x

Using quadratic equation, the value of x is 5 and -1/3

3x²+16x-5

3x² +16x -5= 0

Split the middle term using two factors

3x² -15x -x -5= 0

Take out the common factors

(3x-1)(x-5)= 0

3x+1= 0

3x= 0-1

3x= -1

x= -1/3

x-5= 0

x= 0+5

x= 5

Hence x = 5 and x= -1/3

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The probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

To find the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur, we need to determine the individual probabilities of each event and then multiply them together since the events are independent.

Event A: The coin lands on heads

A fair coin has two equally likely outcomes, heads or tails. Since we are interested in the probability of heads, there is only one favorable outcome out of two possible outcomes.

P(A) = 1/2

Event B: The die is 5 or greater

A fair six-sided die has six equally likely outcomes, numbers 1 through 6. Out of these six outcomes, there are two favorable outcomes (5 and 6) for Event B.

P(B) = 2/6 = 1/3

To find the probability of both events occurring (A and B), we multiply the individual probabilities:

P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6

Therefore, the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

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Answer:

Answer is 6

Step-by-step explanation:

ok so

8x 3 is 24.

24 is then divided by 12 (4 x 3) to equal 4

4 x 8 x 3 is 96

96 divided by 4 is 24

24 divided by 4 is 6.

The midterm grades is the grade that is more unusual

for the midterm

the mean = 80 + 78 + 85 + 82 + 79 +79 + 78 + 86 + 80 + 84 / 10

= 81.1

Then the standard deviation is

Variance = [(80-81.1)² + (78-81.1)² + (85-81.1)² + (82-81.1)² + (79-81.1)² + (79-81.1)² + (78-81.1)² + (86-81.1)² + (80-81.1)² + (84-81.1)²] / 10

sd = 2.961

z = 86-81.1/2.961

= 1.66

For the final

Mean = (81 + 88 + 68 + 69 + 69 + 81 + 82 + 86 + 76 + 71) / 10

= 771 / 10

= 77.1

Therefore, the mean of the given numbers is 77.1.

To find the standard deviation, we first need to find the variance. The variance is calculated by finding the average of the squared differences between each number and the mean:

Variance = [(81-77.1)² + (88-77.1)² + (68-77.1)² + (69-77.1)² + (69-77.1)² + (81-77.1)² + (82-77.1)² + (86-77.1)² + (76-77.1)² + (71-77.1)²] / 10

SD = 7.490

z= (86-77.1) / 7.490 = 1.188

Given that 1. 66 is greater that 1.188, we would have to conclude that the midterm is more unusual

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Complete question

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Jaymes's wants to know which grade is more unusual, the midterm grade or the final exam grade. Use Use a TI-83, TI-83 Plus, or TI-84 calculator to calculate the z-scores corresponding to each grade. Round your answer to three decimal places.

Midterm 80, 78, 85, 82, 79, 79, 78, 86, 80, 84,

final 81, 88, 68, 69, 69, 81, 82, 86, 76, 71

Natalie should use Clustered Column Chart.

What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.

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The algebraic expression in question b can be simplified to give (x² - 5x)/5.

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

2x²(x - 5)/10x = 2x × x(x - 5)/ 2x × 5

2x is a common factor to both the numerator and denominator, hence can cancel out

2x²(x - 5)/10x = x(x - 5)/5

opening bracket we have;

2x²(x - 5)/10x = (x² - 5x)/5

Therefore, (x² - 5x)/5 is the result after simplifying the algebraic expression 2x²(x - 5)/10x

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Answer:

Linear

Step-by-step explanation:

As x increases by 1, f(x) decreases at a constant rate of -5.

Since the rate is constant, the function must be linear.

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 7                     subtract 7

y - 2 and 1/3       divide by 3

y + 3 and 2/3      add 6

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

If the IQR of the softball sneaker size is larger than IQR of the baseball sneaker size, it indicates that there is greater variability in the sizes of softball sneakers compared to baseball sneakers and vice-versa.

To analyze the data sets of softball and baseball sneaker sizes, we can calculate the Interquartile Range (IQR) for each set and compare the values to gain insights into the distribution of the data.

Calculate the IQR for the softball sneaker size:

Arrange the softball sneaker sizes in ascending order.

Find the median (Q2) of the data set.

Find the median (Q1) of the lower half of the data set.

Find the median (Q3) of the upper half of the data set.

Calculate the IQR as Q3 - Q1 for the softball sneaker size.

Calculate the IQR for the baseball sneaker size using the same steps as above.

Compare the IQR values:

If the IQR of the softball sneaker size is larger than the IQR of the baseball sneaker size, it indicates that there is greater variability in the sizes of softball sneakers compared to baseball sneakers.

If the IQR of the softball sneaker size is smaller than the IQR of the baseball sneaker size, it indicates that there is less variability in the sizes of softball sneakers compared to baseball sneakers.

Analyzing the IQR values allows us to understand the spread and distribution of the data sets, providing insights into the range of sneaker sizes within each sport.

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Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.



Historical scientists deal with falsification by employing rigorous methodologies and critical analysis of evidence. They strive to gather as much relevant data as possible to test hypotheses and theories. This is done through meticulous research, including the examination of primary sources, archaeological artifacts, historical records, and other forms of evidence. Historical scientists also engage in peer review and scholarly discourse to subject their findings to scrutiny and criticism.

The mechanism used by historical scientists to falsify hypotheses involves a combination of evidence-based reasoning and the application of established principles of historical analysis. They aim to construct coherent and logical explanations that are supported by the available evidence. If a hypothesis fails to withstand scrutiny or is contradicted by new evidence, it is considered falsified or in need of revision. Historical scientists constantly reassess and refine their hypotheses based on new discoveries, reinterpretation of existing evidence, and advancements in research techniques. This iterative process helps to refine our understanding of the past and ensures that historical knowledge remains dynamic and subject to revision.

Therefore, Historical scientists deal with falsification by rigorously analyzing evidence, using peer review and scholarly discourse, and revising hypotheses based on new discoveries and interpretations.

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Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.

F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯

where the sequence of summands goes on as long as the summand makes sense.

Step-by-step explanation:

Probability of each of the following is,

(a) 0.24, (b) 0.20 and (c) 0.56

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

(a) From the table,

Probability that exactly 1 of the trucks are not working at any point in time  = P(x = 1) = 0.24.

(b) Probability that fewer than 1 of the trucks are not working at any point in time is the probability that no trucks are working at any point of time.

P(x < 1) = P(x = 0) = 0.20

(c) Probability that more than 1 of the trucks are not working at any point in time is the combined probability that 2, 3 and 4 trucks are working.

P(x > 1) = P(x = 2) + P(x = 3) + P(x = 4)

           = 0.17 + 0.06 + 0.33

           = 0.56

Hence each of the values of the probability is found.

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Answer:

660$

Step-by-step explanation:

3/4 x 300 = 225

225 x 2.30= 517.5

300-225= 75

75 x 1.90= 142.5

142.5$ + 517.5$= 660$

Answer:

$660

Step-by-step explanation:

3/4×300=225

225×$2.30=$517.5

300-225=75

75×$1.90=$142.5

$517.5+$142.5=$660

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

20 times

Step-by-step explanation:

2000 x 10% = 200

200x = 4000

x= 20

20 times

Answer:

Step-by-step explanation:

3:9 = 1:3

1:7 = 2:14

12:4 = 24:8

20:5 = 40:10

Hope it helps!

Answer:

Area= 56 cm²

Step-by-step explanation:

Figure given is a rhombus

Area= 1/2*d1*d2

The product of matrix [7, 0] [-5 -4 1 6] is [-35, -24, 7, 42].

Matrix multiplication is an operation that takes two matrices as inputs and produces a new matrix as output.

To compute the product [7 0] [−5 −4 1 6]:

First, we need to transpose the row vector [7 0] to obtain a column vector:

[7 0]T = [7, 0]

Next, we can multiply the column vector [7, 0] with each row of the matrix [-5 -4 1 6] to obtain the resulting vector:

[7, 0] [-5 -4 1 6] = [-35, -24, 7, 42]

Therefore, the product is:

[7, 0] [-5 -4 1 6] = [-35, -24, 7, 42]

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Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

Conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

What is analysis in mathematics?

The analysis is a branch of mathematics that deals with the study of functions, sequences, and limits. It is concerned with understanding how functions behave, how they change and grow, and how they can be approximated and analyzed.

There are several difficulties in conducting a multiple two-sample t-test analysis to compare four diets pairwise in the described study.

One difficulty is that the multiple t-tests increase the risk of Type I errors, which are false positive findings. When multiple tests are conducted, the overall probability of making at least one Type I error increases. This can lead to the conclusion that a difference exists between two groups when in fact there is no real difference. To control for this risk, the researchers would need to use a stricter significance level or adjust the p-values using a method such as the Bonferroni correction.

Another difficulty is that the multiple t-tests do not take into account the relationships between the different groups being compared. For example, if the low-carb diet group has significantly different outcomes from the control group, this may also affect the results of the comparison between the low-carb diet and the other diet groups. A more comprehensive analysis method, such as a one-way ANOVA or a multivariate analysis, would be needed to account for these relationships.

Hence, conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

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Step-by-step explanation:

2x+(-8x) +5-5

-5=0. u Wii collect like terms and if u do that that's the answer if am wrong let me know