Problem 9: You are given 1000 coins. Among them, 1 coin has heads on both sides. The other 999 coins are fair coins. You randomly chose a coin and toss it 10 times. Each time, the coin turns up heads. What is the probability that the coin you choose is the fair one

Answer:

C

Step-by-step explanation:

they have the same variable

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

To find the pooled sample variance of the two samples from populations A and B, follow these steps,

1. Calculate the weighted variance for each sample:
  - For sample A: (Sample size A - 1) * Sample variance A = (18 - 1) * 8490 = 17 * 8490 = 144,330
  - For sample B: (Sample size B - 1) * Sample variance B = (21 - 1) * 6330 = 20 * 6330 = 126,600

2. Calculate the total degrees of freedom:
  - Total degrees of freedom = (Sample size A - 1) + (Sample size B - 1) = 17 + 20 = 37

3. Calculate the pooled sample variance:
  - Pooled sample variance = (Weighted variance A + Weighted variance B) / Total degrees of freedom = (144,330 + 126,600) / 37 ≈ 7,316.22

The pooled sample variance, rounded to 2 decimal places, is 7,316.22.

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Answer:

10:30

Step-by-step explanation:

Half an hour is 30 min

The inverse of the function f(x) = 2x - 10 is f-1(x) would be x/2 + 5.

Lets try to solve it,

We will be using the inverse function to solve this.

f(x) =\(2x - 10\)

Replace f(x) with y.

\(y = 2x - 10\)

Interchange x and y

\(x = 2y - 10\)

Solve for y

\(y = (x + 10) / 2\)

Replace y with f-1(x).

\(f-1(x) = x/2 + 5\)

Thus, the inverse of the function f(x) = 2x - 10 is f-1(x) = x/2 + 5

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Answer:

First one:

1², 2², 3² and so on (Square of 1,2,3,4,5,6,7.....)

Second one:

2, 13, 26, 41...

add 11, add 13, add 15 (add increasing odd numbers, beginning from 11)

Third one:

4, 14, 29, 49

+10, +15, +20 and so on (add the multiple of 5,beginning from 10)

Fourth one:

1, 8, 27, 64

1³, 2³, 3³, 4³ and so on(cube of 1,2,3,4,5,6,7.....)

Brainliest please

Answer:

After calculating, your answer should be:

(0.80-0.5 m/s)/(4.0 s) = (0.075 m)/s^2

I hope this helps you! (This was for the 100 point brainly thing you said you wiuld give me 100 points?)

Answer:

The answer is D. 62.8

Step-by-step explanation:

I used this formula.

Circumference = 2πr

Answer:

The sum of the probabilities of all possible outcomes must equal 1.

Step-by-step explanation:

To solve this problem, we can use the binomial distribution, since we have a fixed number of trials (two children) and each trial has two possible outcomes (boy or girl) with a known probability of success (0.48 for a girl).

Let X be the random variable representing the number of girls born to the family. Then X follows a binomial distribution with parameters n = 2 (the number of trials) and p = 0.48 (the probability of success). The probability mass function (PMF) of X is given by:

P(X = k) = (n choose k) * \(p^{k}\) * \((1 - p)^{(n - k)}\)

where (n choose k) =  \(\frac{n! }{(k! * (n - k)!)}\) is the binomial coefficient.

To find the probability that the family has 0, 1, or 2 girls, we need to calculate the values of P(X = 0), P(X = 1), and P(X = 2):

P(X = 0) = (2 choose 0) * \(0.48^{0}\) * \(0.52^{2}\) = 0.2704

P(X = 1) = (2 choose 1) *  \(0.48^{1}\)  *  \(0.52^{1\\}\) = 0.4992

P(X = 2) = (2 choose 2) *  \(0.48^{2}\)  * \(0.52^{0}\) = 0.2304

Therefore, the probability that the family has 0, 1, or 2 girls is:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2704 + 0.4992 + 0.2304 = 1

Note that the sum of the probabilities of all possible outcomes must equal 1.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

901  boys and 1007 girls

Step-by-step explanation:

let b be the number of boys

let g be the number of girls

\(b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007\)

The relational algebra operator that selects rows from a single table based on a specified condition is called the "selection" operator.

In relational algebra, the "selection" operator is used to filter rows from a single table based on a given condition or predicate. It is denoted by the Greek symbol sigma (σ). The selection operator allows us to retrieve a subset of rows that satisfy a particular condition specified in the query.

The selection operator takes a table as input and applies a condition to each row. If a row satisfies the specified condition, it is included in the output; otherwise, it is excluded. The condition can be any logical expression that evaluates to true or false. Commonly used comparison operators like equal to (=), not equal to (<>), less than (<), greater than (>), etc., can be used in the condition.

For example, consider a table called "Employees" with columns like "EmployeeID," "Name," and "Salary." To retrieve all employees with a salary greater than $50,000, we can use the selection operator as follows: σ(Salary > 50000)(Employees). This operation will return a new table containing only the rows that meet the specified condition.

Overall, the selection operator in relational algebra enables us to filter and extract specific rows from a table based on desired conditions, allowing for flexible and precise data retrieval.

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Bao spent $2.50 to buy the paper cups.

Determine the cost per cup: Bao sells lemonade for $0.35 per cup.

Calculate the number of paper cups bought: Bao bought 50 paper cups.

Determine the cost per paper cup: Bao bought the paper cups for $0.05 each.

Calculate the total cost of the paper cups: Multiply the cost per paper cup by the number of paper cups bought.

  $0.05 * 50 = $2.50

Bao spent $2.50 to buy the paper cups.

Bao spent a total of $2.50 to purchase the 50 paper cups, as each cup cost $0.05.

This amount accounts for the expenses incurred solely on buying the paper cups, separate from the cost of the lemonade itself.

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Changing the order of the factors does not change the product, according to the commutative property of multiplication.

Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

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m = 0............................

The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

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It would take approximately 4.8 hours for Donald and his apprentice to build the wall together.

Donald can build a brick wall in 8 hours, while his apprentice can complete the same job in 12 hours. To determine how long it takes for them to build the wall together, we can use the concept of their combined work rates.

Let's calculate the work rates of Donald and his apprentice:

Donald's work rate: 1 wall / 8 hours = 1/8 walls per hour

Apprentice's work rate: 1 wall / 12 hours = 1/12 walls per hour

To find their combined work rate, we add their individual work rates:

Combined work rate = Donald's work rate + Apprentice's work rate

                 = 1/8 + 1/12 walls per hour

                 = (3/24) + (2/24) walls per hour

                 = 5/24 walls per hour

The combined work rate represents the fraction of the wall that can be built in one hour by both Donald and his apprentice working together.

To calculate the time it takes for them to build the wall together, we can use the formula:

Time = 1 / Combined work rate

Substituting the value of the combined work rate:

Time = 1 / (5/24) hours per wall

     = (24/5) / 1 hours per wall

     = 4.8 hours

Therefore, it would take approximately **4.8 hours** for Donald and his apprentice to build the wall together.

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Answer:

its a or c

Step-by-step explanation:

Answer:

Mr. Mustard is 44 years old

Step-by-step explanation:

70 - (11+15) = 44

44 + (11+15) = 70

Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

Answer:

j + 3 ≤ 12

Hope this helps :)

Solution, Explanation, & Check part below

Step-by-step explanation:

1. Isolate variable by doing the inverse operation which is subtracting 3 on both sides of the equation.

j + 3 ≤ 12

- 3 - 3

j ≤ 9

j can be any number that is less than 9 or equal to 9.

Check:

9 + 3 ≤ 12

12 ≤ 12

12 is equal to 12 ✓

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The volume of the pyramid will be 14 cubic meters.

The volume of the pyramid is defined as the space occupied by the triangular pyramid in three-dimensional space.

The volume of a pyramid is a measure of the amount of space it occupies and is defined as one-third the product of the area of the base and the height of the pyramid.

Calculate the area of the base of the pyramid,

Area = 1/2 x 4 x 3

Area = 6 square meters

Calculate the volume of the pyramid as

Volume = 1/3 x ( 6 x 7 )

Volume = 14 cubic meters

Therefore, the volume of the pyramid will be 14 cubic meters.

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The number of prizes Sam able to buy = 5

Given that;

Sam bought 1 prize for each 5 tickets

Which means he can buy 1 prize for 1 ticket

Since number of ticket Sam has = 5

Therefore he can buy

1 prize for 1 ticket

2 prizes for 2 tickets

3 prizes for 3 tickets

4 prizes for 4 tickets

5 prize4s for 5 tickets

Hence Sam can buy maximum 5 prizes.

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After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.

To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.

The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:

S = a / (1 - r)

where 'a' is the first term of the series.

In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.

Applying the formula, we have:

S = 1 / (1 - 2)

Simplifying, we get:

S = 1 / (-1)

S = -1

However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.

Hence, we conclude that the given infinite series does not converge to 1.

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Answer:

1,2,5,10

Step-by-step explanation:

hope this helps

Answer:

Progression in increments of value 12

Step-by-step explanation:

13 25 37 49 61 73 85 97 .....

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Miss Hawaii