Question 10 Find the infinite sum, if it exists for this series: (-2) + (0.5) + (-0.125) +.

Answer: 53/30

Step-by-step explanation:

4/6 + 2/4 + 3/5 =

2/3 + 1/2 + 3/5 =      ==> Simplify Denominators

30/30 * (2/3 + 1/2 + 3/5)=  ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators

(2*30/3 + 1*30/2 + 3*30/5)/30=

(60/3 + 30/2 + 90/5)/30=

(20 + 15 + 18)/30=

(35 + 18)/30=53/30

Solution :

Given :

n = 200, p = 80% = 0.8, q = 1 - p = 0.2

\($\mu = np$\)

  \($= 200 \times 0.8 = 160$\)

\($\sigma= \sqrt{npq}$\)

\($\sigma= \sqrt{200 \times 0.8 \times 0.2}$\)

   = 5.6569

a). x = 169.5

∴ \($z = \frac{x- \mu}{\sigma}$\)

  \($z = \frac{169.5- 160}{5.6569}$\)

     = 1.6794

\($P(x \geq 170) = P(z>1.6794) = 0.0465$\)

Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465

b). x= 149.5

   \($z = \frac{x- \mu}{\sigma}$\)

   \($z = \frac{149.5- 160}{5.6569} = -1.8561$\)

\($P(x \geq 150) = P(z>-1.8561) = 0.9683$\)

Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683

Answer: g(x) = (x+3)^2

The answer should be in the form of a(x-h)2 + k.

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)^2

Answer:

mag sagot ka wag ka puro brainly

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

Answer:

according to ur question..

ANSWER IS

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Step-by-step explanation:

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What is your question?

❥\(\Large\pmb{ \underline {\tt Answer}}\)

2x + 5 = 3x - 25

5 + 25 = 3x - 2x

x = 30

Option B

reason:- Attached picture

Answer:

letter C is the right answer

Step-by-step explanation:

hope it helps!

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The cold water faucet will take 35 minutes to fill the tub.

Given that the hot water faucet takes 17 minutes to fill the tub and the combined time for both faucets is 7 minutes, the cold water faucet will take 35 minutes to fill the tub.

To calculate the time taken by the cold water faucet, we need to subtract the time taken by the hot water faucet from the total time taken by both faucets. Therefore, the time taken by the cold water faucet is 7 minutes (total time) minus 17 minutes (hot water faucet) which equals 35 minutes.

In summary, the cold water faucet will take 35 minutes to fill the tub while the hot water faucet will take 17 minutes.

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By creating an equation, A sold 46 tickets to the school concert.

According to the given information, M sold 14 fewer tickets than A. This means that if we add 14 to the number of tickets sold by M, we will get the number of tickets sold by A. We can write this as an equation:

An equation is a mathematical statement consisting of an expression containing one or more variables. It expresses a relationship between the variables that hold for all values of the variables. An equation can involve constants, variables, and operations such as addition, subtraction, multiplication, division, and exponentiation.

A = M + 14
Now, we can plug in the given value of M, which is 32, into the equation:
A = 32 + 14
Simplifying the equation gives us:
A = 46

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The given system of equations has: O infinitely many solutions

To determine the number of solutions of the given system of equations:

3x - 4y + 5z = 7

W - x + 2z = 3

2w - 6x + y = -1

3w - 7x + y + 2z = 2

We can use the concept of the rank of a matrix. The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix.

First, let's form the augmented matrix:

[ 3  -4   5  |  7 ]

[ -1   0   2  |  3 ]

[ -6   1   0  | -1 ]

[ -7   1   1  |  2 ]

Next, let's perform row operations to reduce the matrix to its echelon form:

[ 1   0   0  |  a ]

[ 0   1   0  |  b ]

[ 0   0   1  |  c ]

[ 0   0   0  |  d ]

The echelon form shows the system of equations in a simplified form, where a, b, c, and d are constants.

If d is nonzero (d ≠ 0), then the system has no solution (O no solutions).

If d is zero (d = 0), then the system has at least one solution.

In this case, since we end up with the echelon form:

[ 1   0   0  |  a ]

[ 0   1   0  |  b ]

[ 0   0   1  |  c ]

[ 0   0   0  |  0 ]

we can see that d = 0. Therefore, the system has infinitely many solutions (O infinitely many solutions).

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The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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Answer:

m= -2

y intercept: (0.-5)

Step-by-step explanation:

hope this helps

The book "Problem Solving with C (Text Only) Edition: 10th" by Savitch Pearson, with ISBN 9780134448282, is available as a free PDF.

Explanation:

The book "Problem Solving with C" is a valuable resource for individuals looking to learn or improve their programming skills in the C language. Written by Savitch Pearson, the 10th edition focuses on teaching problem-solving techniques using C programming.

This edition of the book provides a comprehensive introduction to C programming, covering fundamental concepts, data types, control structures, functions, arrays, and more. It emphasizes the development of problem-solving skills through practical examples and exercises, allowing readers to apply their knowledge in real-world scenarios.

The availability of a free PDF version of the book offers a convenient and accessible option for those who wish to learn or reference the material without the need to purchase a physical copy. It provides flexibility for self-study, as readers can access the book digitally from various devices.

By studying "Problem Solving with C," readers can gain a solid foundation in C programming, enhance their problem-solving abilities, and prepare themselves for further exploration in the field of computer science.

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Margin of error is equal to half of this width:

6.544 / 2 = 3.272

In a confidence interval, the margin of error is half of the width of the interval.

So, the width of the confidence interval is:

26.272 - 19.728 = 6.544

Margin of error is equal to half of this width:

6.544 / 2 = 3.272

Rounding to three decimal places, the margin of error is 3.272.

This means that the researchers are 99% confident that the true mean time for the medication to take effect falls between 19.728 and 26.272 minutes.

The margin of error tells us how much we can expect the sample mean (23 minutes) to differ from the true mean. So, we can say with 99% confidence that the true mean time it takes for the medication to take effect is within 3.272 minutes of the sample mean.

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Answer: \(P(t)=450+50t\)

Step-by-step explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge

\(\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450\)

For t hours, studio charges

\(\Rightarrow P(t)=450+50t\)

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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The values that complete the conversions are

a = 10000

b = 100

c = 1000000

From the question, we are to complete the given conversions

i)

1 m² = a cm²

NOTE: 1 m² =  10000 cm²

∴ a = 10000

ii)

1 cm² = b mm²

NOTE: 1 cm² = 100 mm²

∴ b = 100

iii)

1 km² = c m²

NOTE: 1 km² = 1000000 m²

∴ c = 1000000

Hence, the values that complete the conversions are

a = 10000

b = 100

c = 1000000

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The balance amount at the end of 4 years in the account will be $53275

Principal amount= $44200

Rate of interest = 5% compounded annually

Number of years amount is invested for: 4 years

The formula for compound interest is given by:

A = P(1 + r/100)^n

where A = Final amount

P = principal amount invested

r = Rate of interest annually

n = number of years amount is invested

Putting the values in the formula we get:

A = 44200(1 + 5/100)^4

= 44200(1.05)^4

=44200*1.21

Amount at end of 4 years= 53725.37 or 53725

So, the balance amount at the end of 4 years in the account will be $53275

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The application of statistics in drug testing involves various techniques such as hypothesis testing, confidence intervals, regression analysis, analysis of variance (ANOVA), and other statistical models.

In use of statistics in analyzing data about drug tests is an integral part of the engineering process, particularly in pharmaceutical engineering, enabling evidence-based decision-making and enhancing the quality

The use of statistics to analyze data about drug tests falls within the realm of data analysis and interpretation, which is an important part of the engineering process. More specifically, it is commonly associated with the field of pharmaceutical engineering or pharmaceutical development.

These methods help to assess the significance of the observed data, identify patterns, evaluate the impact of variables, and draw conclusions from the experimental results.

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The slope of this graph is equal to 2.

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given points into the formula for the slope of a line, we have the following;

Slope, m of graph = (80 - 0)/(100 - 60)

Slope, m of graph = 80/40

Slope, m of graph = 2.

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Answer:

I don't see the table, but if you do 6/4 + 5/8 = 12/8+5/8 = 17/8.

17/8 = 2.125 = 212.5%

Step-by-step explanation:

The student who correctly simplifies the expression should have an answer

of 212.5%

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mrs. Holt writes the expression 6/4 + 5/8 .

She asks her students to simplify the expression which is,

= (6/4 + 5/8).

= (2×6 + 1×5)/8.

= (12 + 5)/8.

= 17/8.

And write the answer as a percentage which is,

= (17/8)×100%.

= 212.5%

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Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Answer:

What is

Step-by-step explanation:

What is it

Required inequality is m>37.25

In algebra, an inequality is a mathematical statement that shows a relationship between two expressions using the inequality symbol. The expressions on both sides of the inequality sign are not equal. This means that the expression on the left should be greater or less than the expression on the right, or vice versa. When the relationship between two algebraic expressions is defined using inequality symbols, they are called literal inequalities.

Definition: "When two real numbers or algebraic expressions are related by the symbols ">", "<", "≥", "≤", the relationship is called an inequality.

For example, x>3 (x should be greater than 3)

Open Statement: An inequality is called an open statement if it has only one variable.

Example: x < 6 (x is less than 6)

Double Inequality: An inequality is considered a double inequality when the statement shows a double relation of expressions or numbers.

Example: 3≤x<8 (x is greater than or equal to3 and less than 8)

Given, Sergei knows the bicycle he wants to buy will cost more than $84.00.

Therefore, cost of bicycle >84

It is also given, He has already saved $26.75 for the bicycle and his aunt has given him $20.00 to use to buy the bicycle.

So, he could save

(26.75+20.00)=46.75

Now he need to save >84 - 46.75=37.25

If additional amounts of money describes by m then required inequality will be m>37.25

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Answer:

m∠WXY + m∠YXZ = 180

Step-by-step explanation:

happy to help.

Answer:

1 9/10 = 1.9

Step-by-step explanation:

= 2 3/8 = 19/8

= 1 1/4 = 5/4

So

=19/8/5/4

=19/8 x 4/5

By simplification

=19/10=1 9/10=1.9

The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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Answer:

parallelogram 's perimeter =2(8.2+6.5)

""" =2×14.7

... = 29.4

perimeter of triangle=7.2+6.1+9.6

""""" =22.9

The solution for x in the compound inequality is 18 < x ≤ 3

The compound inequality is given as

6x − 10 ≤ 8 or 1/3x + 6 > 12

Add or subtract the constant to both sides of the compound inequality

So, we have

6x ≤ 18 or 1/3x > 6

Divide both sides of the compound inequality by the coefficient of x

So, we have

x ≤ 3 or x > 18

Rewrite as

x > 18 or x ≤ 3

Combine both inequalities

18 < x ≤ 3

Hence, the solution for x in the compound inequality is 18 < x ≤ 3

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