there are 5 marbles in a bag: white, yellow, pink, blue, red. there is an equal probability of getting any colored marble. what is the expected number of times we get a white marble if we draw a marble out of the bag 25 times with replacement?

The point estimate, p, based on the given confidence interval (.688, .724), is .706.

To find the point estimate, p, we take the midpoint of the confidence interval.

In this case, the lower limit is .688 and the upper limit is .724.

To find the midpoint, we calculate the average of these two values.

Midpoint = (lower limit + upper limit) / 2

              = (.688 + .724) / 2

              = 1.412 / 2

              = .706

Therefore, the point estimate, p, is .706.

The point estimate represents our best estimate for the true population proportion based on the available sample data.

In this case, it suggests that the proportion, p, is most likely around .706.

However, it's important to note that the point estimate is subject to sampling variability and may not perfectly reflect the true population proportion.

706 is the correct answer as it represents the point estimate obtained from the confidence interval limits provided.

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Answer: AB=13

F=30 degrees

Step-by-step explanation:

Triangle ABC is an equilateral triangle meaning all sides and angles are the same. And if angle e is 120 and since it’s a isosceles then the other two angles are the same

Answer:

just do the assignments get help when neccesary ask the teacers if they have any extra credit materials

Step-by-step explanation:

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

On solving the provided question, we cans ay that sum of co-exterior angles are 180 so, 180-73 = x => x = 7

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

here,

angle x and 73 are co-exterior angles

so, sum of co-exterior angles are 180.

so, 180-73 = x => x = 7

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Answer:

(0, 1)

Step-by-step explanation:

y > 3x - 1

When x = 0:   y > (3 x 0) - 1  ⇒  y > -1

When x = 1:    y > (3 x 1) - 1  ⇒   y > 2

When x = 2:   y > (3 x 2) - 1  ⇒  y > 5

Therefore the only point that satisfies this is (0, 1)

Answer:

Step-by-step explanation:

Attached is the graphical solution.

We can see one point is within the shaded area -  (0, 1), all the others are outside.

Answer:

Step-by-step explanation:

The second one

The true statement is that you can predict whether the product will be less than or greater either of the factors, and the prediction is that the product will be less than either of the factors

The statement is given as:

Predict whether the product of two decimal numbers less than 1 will be less than or greater either of the factors

Let the product equation be represented as:

x * y = z

Where

x and y are decimal numbers less than 1

So, we have

x < 1 and y < 1

Example of such numbers are:

x = 0.1 and y = 0.2

So, we have:

x * y = 0.1 * 0.2

Evaluate the product

x * y = 0.02

The decimal number 0.02 is less than 0.1 and 0.2

This is the same for all decimal numbers with the given characteristics

Hence, the prediction is that the product will be less than either of the factors

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For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

Answer:I think it's C although I might be wrong

Step-by-step explanation:

Answer: B

Hope this helps :)

The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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The sample size cannot be determined from this information alone. A confidence interval for a population mean is calculated based on the mean of a sample, the sample size, and the standard deviation.

Deviation is the difference between the expected value or average of a set of data and the actual value. For example, if the average of a set of numbers is 10 and one of the numbers is 15, the deviation of that number is 5. Deviation is a measure of how much variation exists in a set of data. It is an important tool used to measure the accuracy of a data set and identify outliers within that data set. Deviation is also used to measure the volatility of a stock or other investment, which is a measure of how much its price changes over time.

Therefore, to determine the sample size, the mean, standard deviation, and confidence interval of the sample must all be known.

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Complete Question:
A 95% confidence interval for a population mean was reported to be 152 to 160. If s 15, what sample size was used in this study?

Answer:

80%

Step-by-step explanation:

1. We assume, that the number 56 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 56, so we can write it down as 100%=56.

4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.

5. Now we have two simple equations:

1) 100%=56

2) x%=44.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=56/44.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.8 is what percent of 56

100%/x%=56/44.8

(100/x)*x=(56/44.8)*x       - we multiply both sides of the equation by x

100=1.25*x       - we divide both sides of the equation by (1.25) to get x

100/1.25=x

80=x

x=80

now we have:

44.8 is 80% of 56

Answer:

Hi there!!

Your answer is:

44.8 is 80% of 56!

Step-by-step explanation:

56 = 100%

/56

1 = 1 &11/14

×44.8

44.8 = 80%

I hope this helps!

Question options:

A. Yes, Walter is correct.

B. No 3.612 is less than 13.

C. No, both 3.612 and 3.622 are greater than

D. No, both 3.612 and 3.622 are less than 13

Answer:

C. No, both 3.612 and 3.622 are greater than the square root of 13

Explanation:

13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16

Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai

We get square root of 13 = 3.6055512

This is the same result we get using a calculator to calculate square root of 13= 3.6055512

So yes Walter is not correct

For a normal distribution of the money spent on food per visitor at the san diego zoo, probability that a randomly selected par visitor will spend less than 20 is equals to 0.3488.

There is the money spent on food per visitor at the san diego zoo.

Mean of money = $27.50

Standard deviations= 8

We have to determine the probability that a randomly selected par visitor will spend less than 20, P( X < 20), where X is random variable for spending money. Using the Z-Score formula for normal distribution, \(Z = \frac{X - \mu}{\sigma } \)

where, X --> observed value

μ --> mean

σ --> standard deviations

Substitutes the known values in above formula, \(Z = \frac{20 - 27.50}{8 } \)

\(= \frac{7.50 }{8 } \)

= 0.937

The probability that a randomly selected par visitor will spend less than 20, P( X < 20) = \(P ( \frac{ X - \mu }{\sigma} < \frac {20 - 27.50}{8})\)

= P ( z < 0.937)

Using the Z-distribution table the value of P( z< 0.937) is equals to the 0.3488. So, P( X < 20) = P( z< 0.937) = 0.3488.

Hence, required probability value is 0.3488.

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The series Σ(Cos(n)) diverges. The terms oscillate indefinitely between -1 and 1 without approaching zero. Therefore, the series does not have a finite limit as the number of terms increases, and it diverges.

The series you provided is Σ(Cos(n)), where n is the index of the terms in the series. To determine if the series converges or diverges, we need to analyze the behavior of the individual terms as n approaches infinity.

To analyze the convergence or divergence of the series, let's consider the behavior of the individual terms. The function Cos(n) oscillates between -1 and 1 as n increases. Since there is no limiting value for Cos(n) as n approaches infinity, the series does not converge.

If we take a closer look, the terms in the series do not approach zero as n increases. They alternate between positive and negative values, and the magnitude of the terms remains constant. This means that the series does not satisfy the necessary condition for convergence, as the terms should approach zero for a series to converge.

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Answer:

1.20+2m=15.20

m=7

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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The probability that a single randomly selected value from a normal distribution with mean \($\mu$\) and standard deviation \($\sigma$\) is less than 221.3 is given by \($P(X < 221.3) = \Phi(\frac{221.3-\mu}{\sigma})$\), where \($\Phi$\) is the cumulative distribution function.

The probability that a single randomly selected value from a normal distribution with mean and standard deviation is less than 221.3 is given by \($P(X < 221.3) = \Phi(\frac{221.3-\mu}{\sigma})$\), where the cumulative distribution function. This probability is calculated using the Z-Score formula, which is used to determine the position of a given value in a normal distribution relative to the mean. In this case, the Z-Score is calculated by subtracting the mean from the value 221.3 and dividing the result by the standard deviation. The result is then used to find the probability of a value being lower than 221.3 by looking up the corresponding value in a Z-Table. This is an important concept in statistics as it allows us to determine the probability of a randomly selected value from a normal distribution being less than a given value.

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ANSWER

EXPLANATION

The reef grows 0.18m every week

hence,

after 9weeks, it grows:

Equivalent 4/5 is equals to 20/25 in fractions.

In mathematics, equivalent fractions are those with the same denominator but different numerators. For instance, since they both equal 1, 2/4 and 3/6 are comparable fractions. An element of the whole is a fraction. To represent identical components of the total, equivalent fractions are utilized.

The numerator and denominator of each fraction can be multiplied by the same integer to determine the equivalent fraction. Equivalent fractions are those that, despite visible differences, signify the same value. For instance, if you take a piece of cake, divide it into two equal pieces, and then eat one of them, you will have consumed half of the cake.

= 4/5 ( multiply by 5/5)

= 4/5 * 5/5

= 20/25

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Correct Question:

What is 4/5 as an equivalent fraction?.

The equation for the maximum number of yards per second that can be run is y = 5/3 s.

A direct variation measurement between distance covered and time taken can be composed as:

y=kx,

where,

This is because the athlete's distance travelled directly varies with the amount of time it takes.

Find k using the given values:

y=kx,

10 = k(6)

k = 10/6

k = 5/3

As a result, the equation for the maximum number of yards per second is y = 5/3 s.

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The chance is close to 2/7 or about 0.286, i.e., 28.6% (rounded to one decimal place). In statistics, a Simple Random Sample is a type of probability sampling technique. Option A is the correct answer.

In which every member of the population has an equal probability of being chosen. In order to select a simple random sample, each member of the population is assigned a number. Then a random number generator is used to pick out the sample.The number of possible simple random samples of size two that can be chosen from the seven students in this class is: 7C2 = 21.

Therefore, the probability of Ruby being selected in a simple random sample of size 2 is 1/21 + 1/21 + 1/21 + 1/21 + 1/21 + 1/21 + 1/21 = 2/7 or about 0.286 (28.6%). Hence, option A is the correct answer.

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The price of the pear is $0.6

Given:

The total cost of lunch is $3.50, consisting of a juice, a sandwich, and a pear.The juice cost 1.5 times as much as the pear.The sandwich costs $1.40 more than the pear.

From above statements

Juice + sandwich + pear = $3.50      -----------eq(1)

Juice = 1.5 * pear

sandwich = pear + $1.40

substitute juice and sandwich values in eq(1)

1.5 pear + pear + $1.40 + pear = $3.50

3.5 pear = $3.50 - $1.40

pear = $2.10/3.5

pear = $0.60

Hence the price of the pear is $0.6

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Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

\(C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P\)

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

\(5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P\)...(1)

\(12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P\) ...(2)

Dividing equation (2) by (1), we have;

\(\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }\)

\(Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;\)

\(\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}\)

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

\(\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}\)

\(1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}\)

We get

\(\dfrac{12,066.60}{5,460} =\dfrac{221}{100}\)

\(\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}\)

\(1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}\)

\(\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1\)

\(\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1\)

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

\(5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P\)

\(5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}\)

\(P = \dfrac{100}{21} \times 5,460 = 26,000\)

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

\(CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606\)

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

24.

Step-by-step explanation:

(-1)*(-2)*(-3)*(-4)*(-1)*2​    Work it out in pairs:-

= 2 * 12 * 1

= 24.

Answer:

1/4

Step-by-step explanation:

f(x) = 2 * (1/2) ^x

Let x=3

f(3) = 2 * (1/2) ^3

     = 2 * ( 1/2) * 1/2) * (1/2)

     = 2 * 1/8

    = 2/8

    = 1/4

Answer:

Step-by-step explanation:

Graph #          Matching equation

1                             |-3x|

2                            |-x|

3                           -|2x|

You can tell which one matches by finding the slope and whether the V points up or down

Answer:

D

Step-by-step explanation:

for line on left

calculate the slope of the lines using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = \(\frac{1-0}{0-(-2)}\) = \(\frac{1}{0+2}\) = \(\frac{1}{2}\)

the line crosses the y- axis at (0, 1 ) ⇒ y- intercept = 1

------------------------------------------------------

for line on right

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on line

m = \(\frac{-2-0}{0-(-2)}\) = \(\frac{-2}{0+2}\) = \(\frac{-2}{2}\) = - 1

the line crosses the y- axis at (0, - 2 ) ⇒ y- intercept = - 2

Then

\(\frac{1}{2}\) p = - 1 ( multiply both sides by 2 )

p = - 2

-----------

1 + q = - 2 ( subtract 1 from both sides )

q = - 3