The statement "some days are snowy" has 16 letters (treating different appearances of the same letter as distinct). Pick one of them uniformly at random (i.e. each with equal probability 1/16 ). Let X be the length of the word to which the letter which was chosen belongs. Determine the possible values that X may attain, and the probability mass function of X.

Answer:

28.5

Step-by-step explanation:

19 x 1.5

The type of sampling used in this scenario is A Systematic sampling.

Systematic sampling involves selecting every kth element from a population list after randomly selecting a starting point. In this case, Christopher collects data from all the band members in his class, indicating that he is sampling systematically from a known list of band members.

This method ensures that every band member in the class has an equal chance of being selected, and it simplifies the process by following a predetermined systematic approach rather than relying on random selection or stratification.

Therefore, the type of sampling used in this scenario is A Systematic sampling.

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Complete question is below

To study the sleeping habits of all band members in his school, Christopher collects data from all the band members in his class. Which type of sampling is used? Select the correct answer below:

A Systematic sampling

B Stratified sampling

C Cluster sampling

D Convenience sampling

The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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Answer:

H is the hypotenuse (the one in the middle) and the legs are the other two sides of the triangle.

Step-by-step explanation:

between 30 and 50 is approximately 40

Answer:

ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1. this is an example i found on the internet.

Step-by-

hope this helps, good luck

The ratio of the change in distance to the corresponding change in time

gives the speed of a runner.

Reasons:

The tables are;

Andrew

\(\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right]\)

Karleigh

\(\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right]\)

The duration each on the treadmills is 1 hour = 60 minutes

\(\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}\)

Therefore;

\(\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}\)

\(\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}\)

\(\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}\)

\(\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}\)

Therefore;

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Answer: Profit of $3,750

Step-by-step explanation:

Sold half of the sets at a profit of 25%;

= (15,000 * 5 sets) * 25%

= $‭18,750‬

Sold the other half at a loss of 20%;

= (15,000 * 5) * 20%

= $15,000

Profit (loss) = 18,750 - 15,000

= $3,750

Answer:

2x²+3x-54

Step-by-step explanation:

(2x-9)(x+6)

=x(2x-9)+6(2x-9)

=2x²-9x+12x-54

=2x²+3x-54

Answer: 2x and y= 4+

Step-by-step explanation:

x = 2 times 2 and so on....

y = 4 plus 4 plus 4 etc....

Answer:

What is 80% of 63?

50.4 is the right answer

(a) To find the matrix [T]B'B relative to the bases B and B', we need to evaluate T for each basis vector in B and express the results as linear combinations of the vectors in B'.

For T(1, 0, 0):
T(1, 0, 0) = x(1 + 0(x - 5) + 0(x - 5)²) = x

Expressing x as a linear combination of the vectors in B':
x = 1(1) + 0(1 + x) + 0(1 + x + x²) + 0(1 + x + x² + x³)

Therefore, the first column of [T]B'B is [1, 0, 0, 0].

Similarly, we can find the other columns:
For T(0, 1, 0):
T(0, 1, 0) = x(0 + 1(x - 5) + 0(x - 5)²) = x(x - 5)

Expressing x(x - 5) as a linear combination of the vectors in B':
x(x - 5) = 0(1) + 1(1 + x) + 0(1 + x + x²) + 0(1 + x + x² + x³)

Therefore, the second column of [T]B'B is [0, 1, 0, 0].

For T(0, 0, 1):
T(0, 0, 1) = x(0 + 0(x - 5) + 1(x - 5)²) = x(x - 5)²

Expressing x(x - 5)² as a linear combination of the vectors in B':
x(x - 5)² = 0(1) + 0(1 + x) + 1(1 + x + x²) + 0(1 + x + x² + x³)

Therefore, the third column of [T]B'B is [0, 0, 1, 0].

Therefore, [T]B'B = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]].

(b) To compute T(1, 1, 0) using [T(v)]B' = [T]B',B[v]B, we have:
[T(1, 1, 0)]B' = [T]B',B[(1, 1, 0)]B

Using [T]B'B = [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]], we can compute:
[T(1, 1, 0)]B' = [1, 0, 0, 0][1, 1, 0] = [1, 1, 0, 0]

Therefore, T(1, 1, 0) = (1, 1, 0, 0).

To verify this result directly, we can compute T(1, 1, 0) by substituting into the expression for T(a, b, c):
T(1, 1, 0) = x(1 + 1(x - 5) + 0(x - 5)²) = x(1 + x - 5 + 0) = x(x - 4)

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Answer: Therefore, the total number of favorable outcomes is 6 * 125 = 750.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes = 750 / 1296 = 125 / 216.

Hence, the probability that no two people sitting next to each other will roll the same number after they each roll the die once is 125/216.

Step-by-step explanation: To calculate the probability that no two people sitting next to each other will roll the same number after they each roll the die once, we can approach the problem using the principle of counting and probability.

First, let's consider the number of possible outcomes for each person rolling a six-sided die independently. Since each person has six possible outcomes (numbers 1 to 6), the total number of possible outcomes for all four people is 6 * 6 * 6 * 6 = 6^4 = 1296.

Now, let's count the number of favorable outcomes where no two people sitting next to each other roll the same number. We can start by fixing the number for the first person arbitrarily, let's say person A rolls a 1. Now, person B sitting next to A has 5 possible numbers to roll (excluding the number rolled by A). Similarly, person C sitting next to B also has 5 possible numbers to roll (excluding the numbers rolled by A and B). Finally, person D sitting next to C also has 5 possible numbers to roll (excluding the numbers rolled by A, B, and C).

Since we arbitrarily fixed person A's roll to be 1, we have 5 * 5 * 5 = 125 favorable outcomes for this particular case. However, this can be done for any number that person A rolls, so we need to multiply this by 6 to consider all possible cases.

Answer:
slope: -1/3

Y-intercept: 0

Step-by-step explanation:

The line crosses the y-axis at 0, and the pibe decreases by 1 down and goes to the side by 3, using rise over tu it would be -1/3

I hope it helps! Have a great day!

Pan~

Answer:

Slope: -1/3

Y-intercept: 0

Step-by-step explanation:

I hope it helps! Have a great day!

bren~

The simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable is

M = \(\beta\)0 + \(\beta\)1W + ε

The car rental company can use this model to determine the effect of weight (of the car) on miles per gallon.

Given: To write a simple linear regression equation with Miles per gallon as the response variable and weight as the predictor variable.

What is simple linear regression?

Simple linear regression is used to estimate the relationship between two quantitative variables.

Let's say "Miles per gallon" is represented as M and

"Weight" be represented as W

The simple linear regression equation is :

M = \(\beta\)0 + \(\beta\)1W + ε

where,

How might the car rental company use this model?

The car rental company might use the regression model to determine the

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Answer:

what event there is no picture or words to tell me please explain

Step-by-step explanation:

The mark up is $30.

As stated, markup is the distinction between a product's selling price and its cost price. Retail minus Cost is markup. The term "markup" describes the discrepancy between a product's selling price and its actual cost. It is specified as a percentage over the price. In other words, the seller makes a profit when the price of the commodity or service is higher than the overall cost. A unit's gross profit, which is the sales price less the cost to create or buy it for resale, is divided by its cost to determine the markup %. The markup percentage is computed as (12 - 8) / 8 and is equal to 50% if an item costs the business $8 to produce but is sold for $12.

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Answer:

$0.04

Step-by-step explanation:

Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Two previos numbers of n are ( n - 1 ) and ( n - 2 ) Thus :

( n - 2) + ( n - 1 ) + n = 3n - 3

The sum of a number (n) and its two previous numbers would be \(3n - 3\).

Given:

Number n

To find the sum of a number (n) and its two previous numbers, you need to determine the values of the two previous numbers.

Assume that the two previous numbers are (n-1) and (n-2), then the sum would be:

Sum = \((n-1) + (n-2) + n\)

Simplify the expression:

Sum = \(n - 1 + n - 2 + n\)

Simplify further:

= \(3n - 3\)

The correct answer is \(3n - 3\).

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Three problems would arise if the frequency of scrum was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.

It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.

If the frequency was reduced to every two or three days, there would be three issues.

(A) The chances to review and modify the Sprint Backlog may be missed.

(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.

(C) Too much time is spent before meetings updating the scrum board.

Therefore, three problems would arise if the frequency was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

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Answer:

first you have to move the varible so

5x +10=5y

then thats as far as i can go

good luck

Answer:

x-y=-2

Step-by-step explanation:

8x-3x-5y=-10

5x-5y=-10

x-y=-2

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, and Q is referred to as the conclusion. "If P then Q" implies that Q must be true sometimes when P is true.

The type of conditional statements are as follows:

A statement in which a conclusion is true if the conditions of a particular hypothesis are true is called a conditional statement.

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The range of the function is all values of y such that y is greater than or equal to -3. So, the range is [-3, infinity).

In mathematics, a function is a rule that assigns a unique output for each input in a set. The set of inputs is called the domain, while the set of outputs is called the range. Functions can be represented in various forms, such as an algebraic expression, a table of values, a graph, or a set of ordered pairs. Functions are essential in mathematical modeling, problem-solving, and data analysis in various fields such as science, engineering, economics, and finance.

Here,

The domain of this function is all values of x such that x - 1 is greater than or equal to zero, which means x is greater than or equal to 1. So, the domain is [1, infinity).

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Answer:

$350,000

Step-by-step explanation:

lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000

Answer:

x = 8\(\sqrt{5}\)

Step-by-step explanation:

Using the Altitude- on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse )

x² = 16 × (16 + 4) = 16 × 20 = 320 ( take square root of both sides )

x = \(\sqrt{320}\) = \(\sqrt{64(5)}\) = 8\(\sqrt{5}\)

When measuring angles, it is important to have a patient and precise attitude. Be sure to measure the angle precisely and double-check your measurements for accuracy.

When measuring angles, it is important to observe the personal attitude of precision and accuracy. This means that you should be careful and attentive in your measurements, and try to be as accurate as possible. It is also important to be patient, as measuring angles can be a time-consuming process. Additionally, it is important to be open to learning and willing to double-check your measurements if necessary. By observing these personal attitudes, you can ensure that your angle measurements are as accurate as possible.

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The last step (6th step) in isolating time (t) in the series of equations is t = 1/H. Using the research value of H as 75.1 km/sec/Mpc, the approximate age of the universe can be calculated.

The given series of equations aim to isolate time (t) on the left side of the equation. The steps are as follows:

H = RV/D

H = D/t/D

H = D/t/D/1

H = D/t x 1/D

H = 1/t

t = 1/H

In the last step, by taking the reciprocal of both sides of the equation, we can isolate time (t) on the left side.

If the research value of H is 75.1 km/sec/Mpc, we can substitute this value into the equation t = 1/H to find the approximate age of the universe. The calculated age would be approximately 13.4 billion years.

Therefore, the approximate age of the universe based on the given value of H is 13.4 billion years.

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Answer: 181 square inches

Step-by-step explanation:

The probability that exactly two people out of a group of five have responded to a telephone poll is approximately 26%.

The probability that exactly two people out of a group of five have responded to a telephone poll can be calculated using the binomial distribution. The probability of a single person responding to a call in a poll is 15%, and the probability of a single person not responding to a call in a poll is 85%.

The probability of two people out of a group of five responding to a call in a poll can be calculated using the formula for the binomial probability mass function:

\(P(X=2) = (5 choose 2) * (0.15)^2 * (0.85)^3\)

where (5 choose 2) is the binomial coefficient, which represents the number of ways to choose 2 people out of a group of 5.

Plugging in the values, we get:

\(P(X=2) = (10) * (0.15)^2 * (0.85)^3 = 0.2574\)

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Step-by-step explanation:

you can see that answer directly at x = 0. because y is then exactly the missing "?".

and that is 4.

so,

? = 4