one of four different prizes was randomly put into each box of a cereal. if a family decided to buy this cereal until it obtained at least one of each of the four different prizes, what is the expected number of boxes of cereal that must be purchased?

A- The Sum of the series is 2 - 20 + 200 .. is 2/11. B- the 12th term of the geometric sequence is option C -112.

We can observe that each term in the series is obtained by multiplying the previous term by -10.

Let the first term be a = 2, and the common ratio be r = -10.

Using the formula for the sum of an infinite geometric series, we have:

So = a / (1 - r)

So = 2 / (1 - (-10))

So = 2 / 11

So the sum of the given series is 2/11.

b- We can use the formula for the nth term of a geometric sequence to find the 12th term.

aₙ = a1×rⁿ-¹

where a1 is the first term and r is the common ratio.

We are given two terms in the sequence:

a7 = 7

a56 = ?

We can use these to find a1 and r.

First, we can find the common ratio:

r = a7 / a6 = 7 / (a7 / r) = 7 / a56

Next, we can use the formula to find a1:

aₙ = a2×rⁿ-¹

Substituting the values we know:

r = 7 / a56

Simplifying:

a1= a56^6

Now we can use the formula to find a12:

a12 = a1 * r^(12-1)

Simplifying:

a12 = 7^11 * a56^(-5)

Therefore, the 12th term of the sequence is a negative number, and the only negative option given is (c) -112. So the answer is (c) -112.

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The average value of a necklace at Julie's shop is $4.90. For further explanation;-

Julie the jeweler has two gold necklaces worth $105, seven silver necklaces valued at $100, twenty-seven plated necklaces valued at $55, and twenty-two beaded necklaces worth $25. The average value of a necklace at Julie's shop can be calculated by finding the sum of the values of all the necklaces and dividing it by the total number of necklaces.

The total value of all the necklaces is $105 + $100 + $55 + $25 = $285. The total number of necklaces is 2 + 7 + 27 + 22 = 58.

Therefore, the average value of a necklace is $285 / 58 = $4.90. This answer should be rounded to the nearest cent, giving an average value of $4.90 per necklace at Julie's shop.

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The order of rotational symmetry of an equilateral triangle is 3.

The order of rotational symmetry of the isosceles triangle is 1.

What is an equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

When an object is rotated around its own axis, its shape stays the same, which is explained by the rotational symmetry of a shape.

All sides of an equilateral triangle are equal.

When an equilateral triangle rotates 120⁰, then its shape remains the same.

The order of rotational symmetry of an equilateral triangle is 360⁰/120⁰ =3.

All sides of an isosceles triangle are not equal.

When an isosceles triangle rotates 360⁰, then its shape remains the same.

The order of rotational symmetry of an isosceles triangle is 360⁰/360⁰ =1.

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A double cheeseburger costs less than a head of broccoli due to lower ingredient costs, a more efficient manufacturing process and some more reasons which are listed below:

Firstly, cheeseburgers are typically made with cheaper ingredients, such as pre-made patties, processed cheese, and pre-made buns. The manufacturing process is also more streamlined and efficient, which further reduces cost. Additionally, the demand for cheeseburgers is typically higher than that for broccoli, which helps to keep prices low.

On the other hand, broccoli requires more labor to harvest and process. It also requires more storage space, which drives up costs. The demand for broccoli is typically lower than for cheeseburgers, which also keeps prices higher.
Additionally, broccoli is more labor-intensive and requires more storage space, which further drives up its cost.

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Answer:

3.5

Step-by-step explanation:

The parenthesis means you multiply the inside number by the outside number.

the negatives cancel each other out so the answer would be positive 3.5.

As per the combination method, there are 12 people with a triple citizenship.

To find out how many people have a triple citizenship, we need to first find out how many people have two citizenships. We can do this by adding up the number of people with each combination of citizenship:

US-Mexican: 4

US-Canadian: 5

Canadian-Mexican: 6

Total number of people with two citizenships = 4 + 5 + 6 = 15

Next, we need to find out how many people have only one citizenship. We can do this by subtracting the number of people with two citizenships from the total number of people:

Total number of people = 53

Number of people with two citizenships = 15

Number of people with only one citizenship = 53 - 15 = 38

Now, we can use combinations again to find out how many people have a triple citizenship.

However, we need to subtract out the people who have only two citizenships, since we don't want to count them twice:

n(US-Mexican-Canadian) = n(US-Mexican) + n(US-Canadian) + n(Canadian-Mexican) - n(with 2 citizenships)

                      = 4 + 5 + 6 - 3   (since 3 people have 2 citizenships)

                      = 12

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Answer:

B.25

Step-by-step explanation:

use PEMDAS   (Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).)

The probability that the weight of a randomly selected steer is less than 1700lbs is 0.9772.

To solve this problem, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the given data into a standard normal distribution by using the formula:

z = (x - μ) / σ

where z is the z-score, x is the given value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that a randomly selected steer weighs less than 1700lbs. So we need to find the z-score for 1700lbs:

z = (1700 - 1400) / 200

z = 1.5

We can then use a standard normal distribution table or calculator to find the probability that a z-score is less than 1.5. This probability is 0.9332.

However, since we want to find the probability that a randomly selected steer weighs less than 1700lbs (not less than or equal to), we need to add half of the probability of the z-score being exactly 1.5 to this result:

0.9332 + 0.0228 = 0.956

Therefore, the probability that a randomly selected steer weighs less than 1700lbs is 0.9772 (rounded to four decimal places).

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Answer:

[tex]\frac{25}{11}[/tex]

Step-by-step explanation:

an improper fraction is one where the value on the numerator is larger than the value on the denominator.

2 [tex]\frac{3}{11}[/tex] is a mixed number, that is a whole number and a fraction

this can be converted to an improper fraction by summing the 2 parts , that is the whole number and the proper fraction as

2 + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22}{11}[/tex] + [tex]\frac{3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

or

multiplying the whole number by 11 and adding 3 , over 11

[tex]\frac{2(11)+3}{11}[/tex]

= [tex]\frac{22+3}{11}[/tex]

= [tex]\frac{25}{11}[/tex]

Answer:

Step-by-step explanation:

What is an equation of the line that passes through the point (-5, 7) and is parallel

to the line x - 5y = 15?

We have two values, x and y, from our ordered pair.

Plugging those in we have -5 - 35y = 15

Add 5 to both sides: -35y = 20

Divide both sides by 35 : approx. 0.57

Our slope is 0.57

Answer:

64,000,000

Step-by-step explanation:

To find out how many combinations there are, you first must do an equation of multiplying these numbers.

20×20×20×20×20×20

Reason being: There are six different number combinations that all are between 1 and 20, so you must multiply all of these numbers.

If you multiply them all together, you would get 64,000,000 different combinations.

Hope it helped!

Answer:

between 15 and 16

Step-by-step explanation:

31÷2=15.5 meaning 15.5 is between 15 and 16

Therefore , the solution of the given problem of unitary method comes out to be 495 possible configurations for the program for this section.

The objective can be accomplished by utilizing what has been expression learned thus far, making use of this global availability, and incorporating all essential components from earlier changeable study that utilized a particular method. If the anticipated claim result actually occurs, it will be feasible to contact the entity once more; otherwise, both important processes will undoubtedly miss the statement.

Here,

Order doesn't matter in a combination issue like this one. The combination algorithm is as follows:

=> C(n, r) = r! * (n-r)!

where r is the amount of options, and n represents the total number of options. In this instance, r = 8 and n = 12 (the total amount of records) (the number of records to play). Inserting the values:

=> C(12, 8) = 12! / (8! * (12-8)!)

=> 495

There are 495 possible configurations for the program for this section.

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If the balance will be $1370.55 after 6 years, then The balance will be $1711.03 after approximately 14.3 years.

The formula for calculating the balance in a continuously compounded account is:

[tex]A = Pe^{rt}[/tex]

Where:

A = final balance

P = principal (initial deposit)

e = Euler's number (approximately 2.71828)

r = annual interest rate

t = time in years

We know that the initial deposit is $1000 and the balance after 6 years is $1370.55, so we can use these values to solve for the annual interest rate:

[tex]1370.55 = 1000*e^{6r}[/tex]

⇒ [tex]ln(\frac{1370.55}{1000}) = 6r[/tex]

⇒ [tex]r = \frac{ln(\frac{1370.55}{1000})}{6}[/tex]

⇒ [tex]r = 0.0345[/tex]

Now we can use the same formula to find out when the balance will be $1711.03:

[tex]1711.03 = 1000*e^{(0.0345*t)}[/tex]

⇒ [tex]ln(\frac{1711.03}{1000}) = 0.0345*t[/tex]

⇒ [tex]t = \frac{ln(\frac{1711.03}{1000})}{0.0345}[/tex]

⇒ t = 14.3 years.

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This is not a valid probability value, which means there must be an error in the information given.

(a) To find the values of P(A), P(B), and P(C), we can use the following formula for the probability of the union of two events:

P(A U B) = P(A) + P(B) - P(A n B)

Using this formula, we can find the value of P(A n B):

P(A U C) = P(A) + P(C) - P(A n C) = 0.70

P(Anc) = P(A') = 0.20

Since A and A' are complements, we can use the complement rule to find P(A):

P(A) = 1 - P(A') = 1 - 0.20 = 0.80

Now we can use the formula to find P(C):

P(A U C) = P(A) + P(C) - P(A n C)

0.70 = 0.80 + P(C) - P(A n C)

Since we do not know P(A n C), we cannot solve for P(C) yet. However, we can use the fact that A, B, and C are mutually exclusive, meaning they have no intersection:

P(A n B) = P(A n C) = P(B n C) = 0

Using this fact and the formula, we can solve for P(C):

P(A U C) = P(A) + P(C) - P(A n C)

0.70 = 0.80 + P(C) - 0

P(C) = 0.70 - 0.80 = -0.10

This is not a valid probability value, which means there must be an error in the information given. It is not possible for the probability of the union of A and C to be greater than the probability of A alone. Therefore, the given information is inconsistent.

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Question:

I need help with my homework due this morning

(a) Given the following information about three events A, B, and C. P(AUC) 0.70 P(Anc) 0.20 Find the values of P(A), P(B), and P(C).

Answer:

Step-by-step explanation:

To find the benchmarks between which 3/8 falls, we need to identify the nearest fractions with denominators that are multiples of 8.

The fraction 3/8 is halfway between 1/4 and 1/2, which can be written as 2/8 and 4/8 respectively. So, we know that 3/8 is greater than 2/8 and less than 4/8.

Therefore, the benchmarks between which 3/8 falls are 2/8 and 4/8. Alternatively, we can express these fractions as decimals and say that 3/8 falls between 0.25 and 0.5.

Answer:

25 euros

Step-by-step explanation:

The ratio is 5:2. Sean received 10 euros. This means that Cheryl received 25 euros. You can multiply both sides of the ratio by 5 to get this answer.

this is the answer for the questions

Answer:  The answer is 32.

Step-by-step explanation: Yes since you did 9.5+13.6+5.7+3.2 is 32.00 or 32.

Answer:

Step-by-step explanation:

the answer is

z=0.625

The polynomial x² + x - 4 = 0 is equivalent to the rational equation [2 · (x + 2) - (x + 1)] / [(x + 1) · (x + 2)] = 1 / 2.

In this problem we find the definition of a rational equation that must transformed into an equivalent polynomial. This can be done by using algebra properties:

2 / (x + 1) - 1 / (x + 2) = 1 / 2

First, use subtraction between fractions of different denominators:

[2 · (x + 2) - (x + 1)] / [(x + 1) · (x + 2)] = 1 / 2

(2 · x + 4 - x - 1) / (x² + 3 · x + 2) = 1 / 2

(x + 3) / (x² + 3 · x + 2) = 1 / 2

Second, eliminate the denominator on both sides:

2 · (x + 3) = x² + 3 · x + 2

2 · x + 6 = x² + 3 · x + 2

x² + x - 4 = 0

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The condition that will never be required for a nonparametric test is The data are interval. so, the correct option is A).

Nonparametric tests do not assume any specific distribution for the data and do not rely on population parameters such as mean and variance. Therefore, they can be used with data that are nominal, ordinal, or interval, without any assumption about the underlying distribution of the data.

Nonparametric tests rely on the rank ordering of the data rather than their exact values, making them robust to outliers and non-normality.

However, it is important to note that some nonparametric tests may have assumptions about the nature of the data, such as the independence of observations, or the symmetry or continuity of the distribution. These assumptions should be carefully considered before applying a nonparametric test. The correct answer is A).

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____The given question is incomplte, the complete question is given below:

which of the following will never be a required condition of a nonparametric test?group of answer choices

A) data are interval.

B) data are ordinal.

C) the samples are drawn from normally distributed populations.

D) the populations being compared are identical in spread and shape.

The probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

The question asks us to calculate the probability that the person is actually innocent given that they have failed the test. The probability that the person is actually innocent is given by the formula: P(innocent | fails test) = P(innocent and fails test) / P(fails test).

Now we need to calculate the values of the probabilities on the right-hand side of this equation. P(fails test) is equal to the sum of the probabilities that a guilty person fails the test and that an innocent person fails the test. Hence, P(fails test) = P(guilty and fails test) + P(innocent and fails test). P(guilty and fails test) = 0.2 × 0.7 = 0.14P(innocent and fails test) = 0.8 × 0.15 = 0.12. Therefore, P(fails test) = 0.14 + 0.12 = 0.26.

Finally, we can calculate the probability that the person is actually innocent given that they have failed the test: P(innocent | fails test) = P(innocent and fails test) / P(fails test)= 0.12 / 0.26= 0.4615 (rounded to four decimal places).

Therefore, the probability that the person is actually innocent given that they have failed the test is 0.4615... or approximately 0.462.

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If the explained sum of squares is 35 and the total sum of squares is 49, then the residual sum of squares is 14.

The total sum of squares is a measure of the total variability in a dataset. It is the sum of the squared differences between the mean of the dataset and each individual data point. The explained sum of squares is the sum of the squared differences between the predicted value of a regression line and the mean of the dataset.

The residual sum of squares is the sum of the squared differences between the predicted value of the regression line and the actual data points. It is the amount of variability in a dataset that is not explained by the regression line.To calculate the residual sum of squares for the given example, we start with the total sum of squares.

The total sum of squares is the sum of the squared differences between the mean of the dataset and each individual data point. The mean of the dataset is calculated by summing all the values and then dividing by the number of data points.

The total sum of squares is then the sum of the squared differences between the mean of the dataset and each individual data point. For the given example, the total sum of squares is 49.

The explained sum of squares is the sum of the squared differences between the predicted value of the regression line and the mean of the dataset. The predicted value of the regression line can be found using the regression equation. The explained sum of squares for the given example is 35.

The RSS is then the difference between the TSS and the explained sum of squares. For the given example, the RSS is 49 - 35 = 14.

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Answer:

165 centimeters squared.

Step-by-step explanation:

Since we have 2 shapes combined, we need to split them to make 2 rectangles. Now that we have split these two, we can find their individual areas. We know the formula to find area is L * W = A.

So now we do 15 * 7 = 105 to find the area of the shape on the left.

To find the area of the shape on the right, we do 10 * 6 = 60.

Now we add these to get 165 centimeters squared.

Alex gave Val three-tenths of a box of pencils, so she began out with three-fifths of a box.

To answer mathematical issues involving proportional relationships between various quantities, one can utilize the unitary method. In other words, given that two values are related in a constant ratio, it is helpful to determine the value of one if the value of another is known. With the unitary technique, a proportion is established based on how the two quantities relate to one another. The unknown amount can then be determined using the percentage.

given

Let's refer to Val's initial supply of pencils as the unknown portion of the box as x.

The three-tenths of a box of pencils Alex provided Val matched the problem statement. Following Alex's donation, Val had the following number of pencils:

x + 3/10

Val currently possesses nine-tenths of a box of pencils, which is also disclosed. We can therefore construct the following equation:

x + 3/10 = 9/10

By taking 3/10 off of both sides, we get at:

x = 9/10 - 3/10 = 6/10

Val thus started with 6/10 of a box of pencils. When we simplify this fraction, we obtain:

x = 3/5

Alex gave Val three-tenths of a box of pencils, so she began out with three-fifths of a box.

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Answer:

she gave her 3/5

Step-by-step explanation:

In the following question, among the conditions given, The greatest value in the data set is 21, the mean is 13.4, the mode is 12, and the median is 12.

The greatest value is the highest number in the set, 21.
The mean is the average of the set, and is calculated by adding all the numbers together and dividing by the number of values, which in this case is 11.  11 + 11 + 12 + 12 + 12 + 12 + 13 + 15 + 17 + 21 + 21 + 21 = 163, and 163 / 11 = 13.4.
The mode is the number that appears the most often, which is 12 in this set.
The median is the middle number when all the numbers are put in order from least to greatest, which is also 12 in this set.

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Rolling-circle replication of plasmids proceeds in one direction from a single fixed origin

Explanation:

Rolling-circle replication of plasmids is a replication mechanism in which the replication process moves in one direction from a single fixed origin. Rolling-circle replication is a process that is often seen in circular plasmid DNA. It is a process that begins with an initiator protein, which is responsible for the nicking of a single DNA strand.The initiation point allows the helix to begin unwinding in one direction.

             As the DNA helix unwinds, replication is carried out in a continuous manner, and the helix is wound up behind it. During the replication process, a new strand is synthesized that is attached to the parent strand's 3' end.

                     Rolling-circle replication, on the other hand, is utilized to produce new plasmids that have a single strand, which can then be employed in other cells for the production of proteins or for research purposes.

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z = 110°

mEB = 90°

mCE = 74°
I’m not sure about x or y but I think these are right.

Answer: 239

Step-by-step explanation:

Darius wrote 2 integers 256 and -17. The question is asking you to solve how much larger is 256 than -17. This means you will subtract 256 by -17 which will give you 239 (256-17). The answer remains positive because 256 is larger

Hope this helps

Answer: They are exactly 273 places away.

Step-by-step explanation:

If a number is larger than another number then you need to subtract it to get the distance. In this case, you look at the subtraction to see how far away they are.

Hope this helps!

Have a blessed day!

The probability of observing the expected value for the distribution of a binomial (100, 0.20) is 0.20 (or 20%).

The probability of observing the expected value for a binomial distribution can be calculated using the following formula:

Probability = (n C r) p^r (1-p)^(n-r)

where n = number of trials,

r = expected value,

p = probability of success

For the given distribution, binomial (100, 0.20), we know that n = 100 and p = 0.20.

The expected value is given by:E(X) = np = 100 * 0.20 = 20

So, to find the probability of observing the expected value of 20, we need to plug in the values of n, r, and p into the formula:

Probability = (n C r) p^r (1-p)^(n-r)=

(100 C 20) (0.20)^20 (0.80)^80≈

0.1875 ≈ 0.20 (rounded to two decimal places)

Therefore, the probability of observing the expected value for the distribution of binomial (100, 0.20) is approximately 0.20 (or 20%).

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