A lake contains 200 trout; 50 of them are caught randomly, tagged, and returned. If, again, we catch 50 trout at random, what is the probability of getting exactly five tagged trout?

An inequality that matches the wingspan of the common sparrow is       9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.

In this question, we have been given a statement 'The common sparrow has a wingspan of 9 to 15 centimeters. '

We need to write an inequality that matches the wingspan of the common sparrow.

Let x represents the wingspan of the common sparrow.

According to given statement, the common sparrow has a wingspan of 9 to 15 centimeters.

So, the required inequality would be,

9 ≤ x ≤ 15

Therefore, an inequality that matches the wingspan of the common sparrow is 9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.

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Answer:

All of the above.

Step-by-step explanation:

It is 2 and 3 because they are next to each other and when added together equal to 180 degrees.

It is 5 and 8 for the same reason and so on for the rest.

Answer:

All of the above

Step-by-step explanation:

Supplementary means two angles that add up to 180 degrees.

now, since all of the angles are beside each other, it's automatic that they add up to 180 degrees.

I'm guessing you are learning about transversals and rules on lines.

I did this ixl as well and I understand why you're confused

based on my guessing on what you are learning in school, 4 and 5 would also be supplementary because they are consecutive interior angles

I don't know if you learned this term but that's the best I can explain it.

Answer:56.556cm^2

Step-by-step explanation:
okay so you need to find out the area of the bigger circle (the 20cm one)

the area of finding a semi circle is (πxR^2)/2

so we do 3.142x10^2 and then divide it by 2 to get 157.1cm^2

then we do this for another semi circle so we do 3.142x8^2 and divide it by 2 to get 100.544cm^2

so then to finish it off we do 157.1-100.544 to get 56.556cm^2

Answer:

she would have gotten 300 cents

Answer:

$150

Step-by-step explanation:

hope this helps plz mark brainliest

Random permutations and a random variable X are defined on this probability space such as X = 1 when the product XYZ is even and X = 0 when that product is odd. \(E[X] = \[\frac{53}{63}\]\)

To determine the expected value of the random variable X given the permutation of 10 decimal digits, we will find the probability of the random variable X being odd or even. If the product XYZ is odd, then X is odd, otherwise, X is even.

Consider A be the event that x is odd, B be the event that y is odd and C be the event that z is odd. The probability of A occurring is:

\(P(A) = \[\frac{5}{9}\]\)

since there are 5 odd digits out of the 9 remaining after any digit is chosen as the first digit in x.

, \(P(B) = \[\frac{4}{7}\]\)

since there are 4 odd digits out of the 7 remaining after any digit is chosen as the first digit in y.

Also, \(P(C) = \[\frac{3}{6}\]\)

Since there are 3 odd digits out of the 6 remaining after any digit is chosen as the first digit in z.

Therefore, P(A ∩ B ∩ C) is the probability of the product being odd which is given as:

P(A ∩ B ∩ C) = P(A) × P(B) × P(C)

\(= \[\frac{5}{9}\] \times \[\frac{4}{7}\] \times \[\frac{3}{6}\]\)

= 10/63

Thus, the probability of the product being even

P(A ∩ B ∩ C)¯ = 1 − P(A ∩ B ∩ C) = 1 − 10/63= 53/63

Therefore, the expected value of X is given as:

\(E[X] = (0 \times \[\frac{10}{63}\]) + (1 \times\[\frac{53}{63}\])\)

= 53/63

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Step-by-step explanation:

Hope this help

the function that represents Talia's earnings for driving ℎ hours is E(ℎ) = 34ℎ + 50.

To find Talia's earnings for driving ℎ hours, we need to add her daily pay to the amount she earns for her bonus.

Her daily pay is given by the function P(ℎ) = 25ℎ + 50.

Her bonus earnings for picking up passengers is given by the function B(ℎ) = 45ℎ * 0.20.

To find her total earnings, we add her daily pay and bonus earnings:

E(ℎ) = P(ℎ) + B(ℎ)

     = 25ℎ + 50 + 45ℎ * 0.20

     = 25ℎ + 50 + 9ℎ

     = 34ℎ + 50.

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The probability that the department store will get at most 3 calls in a 55 minute period is 0.066

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.

It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute

Find the probability by Poisson distribution with parameter

λ = 223

P(X = x) = λˣе - λx!

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

   = (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)

  = 0.0006 + 0.004 + 0.018 + 0.043

P(X ≤ 3) ≈ 0.066

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The correct journal entry to recognize the event of a $7,000, 30-day, 12% note not being paid by the maker at maturity on November 21 would be: Debit: Notes Receivable - $7,000 and Credit: Accounts Receivable - $7,000

1. The note is not paid at maturity, which means it becomes a bad debt for the company.

2. The amount of the note, $7,000, should be debited to Notes Receivable because it represents the principal amount of the note that is now considered uncollectible.

3. The credit entry of $7,000 should be made to Accounts Receivable because the maker of the note was initially recorded as a debtor (Accounts Receivable) when the note was created.

4. This journal entry reflects the recognition of the uncollectible note and removes the amount from the Accounts Receivable balance.
The entry does not involve the "cash" or "credit notes receivable" accounts because the note is not being paid and does not involve a transaction with cash.

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Answer: opposite/hypotenuse

Step-by-step explanation:

Answer:

3 more than the product of 7 and 4

Step-by-step explanation:

Because of PEMDAS, we are supposed to multiply (M) before we add (A). So our answer has to be the product of 7 and 4 and then something. The first option doesn't work because we're adding 3, not subtracting 3. The second option contradicts the rules of PEMDAS, so it doesn't work either.

The third option works because it shows multiplication first and then addition of 3, but let's test the last option just in case. This one is incorrect because it shows addition before multiplication.

So the third option, 3 more than the product of 7 and 4, is correct. Hopefully that all makes sense! :)

24cm

1) We can find out the slant height of that cone by making use of the following:

2) Plugging into that we can write out:

Hence, the slant height is 24 cm

The closest option which depicts the probability that a person played frisbee given that they do not have a dog is (Option A) 0.297. However, the actual answer is 0.152.

According to the Venn Diagram, the total number of persons who played frisbee given that they do not have a dog is 19.

Since the total number of persons in the sample is 125, hence

The probability that a person played frisbee given that they do not have a dog is 19/125

= 0.152.

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Answer: 101000

Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.

Answer: 111,000 because when you round 994 you get a thousand because that’s the next hundred so you get 111,000

Step-by-step explanation:

Answer: She used 4 sides.

Step-by-step explanation:

2.4 ÷ 0.6 = 4

Answer:

9

Step-by-step explanation:

Points R, S, and T are collinear.

RT = x + 5

ST = 4x - 9

RS = x - 2

First, create an equation to find the value of the variable x

RS + ST = RT (segment addition postulate)

(x - 2) + (4x - 9) = (x + 5) (substitution)

Solve for x

x - 2 + 4x - 9 = x + 5

Collect like terms

5x - 11 = x + 5

5x - x = 11 + 5

4x = 16

Divide both sides by 4

4x/4 = 16/4

x = 4

RT = x + 5

Plug in the value of x

RT = 4 + 5

RT = 9

a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.

c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.

A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.

It is a binary tree in which each node has at most two children, called left and right children.

Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows

(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.

(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.

This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.

Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached

revisit nodes with smaller values.

(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.

Therefore

a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.

b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.

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(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

Addition, Distributive, Addition, Multiplication, Division

Step-by-step explanation:

Answer:

Explanation:

Given the logarithm form of the expression:

To write it in exponential form, the following applies:

0. The Base becomes the base of the index form.

1. The number on the other side of the log operator becomes the index.

2. The number whose log is being found is the answer.

Therefore, the exponential form is:

The diagram below is an illustration:

Answer:

x=-6

Step-by-step explanation:

x=-6

The answer is:

x = -6

Work/explanation:

We're asked to solve the equation \(\boldsymbol{ -15x = 90}\).

This is a one step equation. So we should be able to solve it in just one step.

To solve this equation, divide each side by -15:

\(\sf{-15x=90}\)

\(\sf{x=-6}\)

To generate a list of product names and unit prices ranked by unit price into three categories (1, 2, 3) based on price, you can use a SQL query with the RANK() function.

The highest-priced products will be marked with a 1, the second-highest-priced products with a 2, and so on.

In SQL, you can use the RANK() function along with the ORDER BY clause to rank the products based on their unit prices. The RANK() function assigns a rank to each row in the result set based on the specified ordering criteria. Here's an example SQL query to achieve this:

In this query, products is the name of the table containing the product information. We select the product_name and unit_price columns from the table. The RANK() OVER (ORDER BY unit_price DESC) part ranks the rows based on the unit_price column in descending order, with the highest prices receiving a rank of 1.

The result of this query will include the product names, unit prices, and the assigned price ranks. You can then filter the results based on the price ranks to categorize the products into three categories (1, 2, 3) based on their price rankings.

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Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Answer:  \(\frac{15}{36}\) , \(\frac{8}{36}\)

LCD is 36

Step-by-step explanation:

\(\frac{5}{12} * \frac{3}{3} = \frac{15}{36}\)

\(\frac{2}{9} * \frac{4}{4} = \frac{8}{36}\)

Answer:

D

Step-by-step explanation:

It is the law of cos

C^2= A^2+B^2-2*A*B*cosL where L is the angle between A and B

so C = 32^2 + 35^2 - 2(32)(35)cos120°

The number of overtime hours done by electrician, as found by unitary method, is 4.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given:

To find: Number of Overtime hours

FInding:

Let the number of overtime hours be 'x'.

By unitary method, Charge of 1 regular hour = $24

Charge of 8 regular hours = $24(8) = $192

Again, by unitary method, Charge of 1 overtime hour = $36

Charge of x overtime hours = $36(x)

Cost of Materials = $202

Now, total bill = sum of all the expenses

=> 538 = 192 + 36x + 202

=> 538 - 294 = 36x

=> 144 = 36x

=> 4 = x

Hence, the number of overtime hours as found by unitary method is 4.

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