If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.
11/5
55
33/15

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The median, mode, and means are the same. At its centre, or the mean, the curve is symmetric. To the left of centre, precisely half of the values are located, and to the right, exactly half. The curve has a total area under it of one.

The answer for normal distribution is 4

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

The answer to your question is A.

Step-by-step explanation:

Answer:

a. 64

b. 24

c. 16

d. 6/16

e. 1/8

Explanation:

a. How many different codones are there?

Answer: there are 64 different codons

b. How many different codons are there in which all three bases are different?

Answer:there are 24 different codons in which all three bases are different

c. The base A and G are called purines, while C and T are called pyrimidines. How many different codons are there in which first base is purines and second base is pyrimidines

Answer: there are 16 different codons where the which first base is purines and second base is pyrimidines

d. What is the probability that all three bases are different?

Answer: probability of all three bases being different is

Number of codons with three different bases / total number of codons

= 24/64 = 6/16

e. What is the probability that first base is purines and second and third base is pyrimidines?

Answer: prob is number of codons with first base being purine and second and third base being pyrimidines / total number of codons

= 8/64 = 1/8

Answer:

use long divison  ike this

      16

  -------

8 | 132

    8

  -----

    52

    48

  -----

     4

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                         132/8 = 16 with 4 leftover

                                             32 divided by 8 is 4, 96 divided by 8 is 12, the                                                                  

                                                  extra 4 left over

Check the picture below.

The final answer is the sum of the number of possibilities for each case:

Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.

To find the number of valid strings that satisfy the given properties, we can break down the problem into several cases and count the possibilities for each case.

Case 1: The first and last symbols are distinct digits.

There are 10 choices for the first digit (0-9) and 9 choices for the last digit (since it cannot be the same as the first digit). The middle characters can be any combination of letters and digits. Since there are no restrictions on the middle characters, we have a total of (36)^n possibilities, where n is the number of middle characters.

Case 2: Precisely four symbols in the string are the letter 'a'.

There are (nC4) ways to choose the positions of the four 'a' characters in the string, where n is the number of total characters in the string. For each arrangement of 'a's, the remaining characters can be any combination of letters and digits, which gives us (36)^(n-4) possibilities.

Case 3: Precisely three characters are elements of the set, and these characters are all distinct.

There are (36C3) ways to choose three distinct characters from the set of 36 (26 lowercase letters + 10 decimal digits). Once the three characters are chosen, they can be arranged in (nC3) positions in the string, where n is the total number of characters. The remaining characters can be any combination of letters and digits, which gives us (36)^(n-3) possibilities.

To find the total number of valid strings, we need to consider all possible combinations of these cases. Therefore, the final answer is the sum of the number of possibilities for each case:

Total possibilities = Sum[(10 * 9 * (36)^n) * (nC4) * (36)^(n-4) * (36C3) * (nC3) * (36)^(n-3)] for all valid values of n.

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Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

Answer:

We are given the rule: the speed is the ratio between the distance and the time. So we have

s = d/t = 100/2.5

The function for the given value is f(-2) = -1.

Given function f(x) = |x| - 3. To evaluate the function for the given value of x when x = -2. we need to find f(-2).

when substituting x = -2 in the function

f(x) = |x| - 3, it will become f(-2) = |-2| - 3

                                                  = 2 - 3

                                                  = -1

Therefore, when x = -2, the value of the function f(x) = |x| - 3 is -1.

So, the function for the given value of x is f(-2) = -1.

The function f(x) evaluated at x = -2 gives us the value -1.

f(x) is a function. It maps elements of a set A to a set B. For all x ∈ A, the function f(x) returns a unique value f(x) ∈ B. The function value of f(x) at some point x = a is f(a).

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Median length of time required to review an application = (45 + 100)/2= 72.50 Hence, the correct option is A, 72.50

Given times (in minutes) that several underwriters took to review applications for similar insurance coverage are 100, 110, 42, and 45 and we need to find the median length of time required to review an application.What is the median?The median is the middle value when a data set is ordered from least to greatest.To find the median of a data set, the first step is to write the data set in order from least to greatest. In the above given dataset,Let's first order these numbers from least to greatest;42, 45, 100, 110 Now we can see the median will be between 45 and 100, so we just need to find the mean of these two numbers. the correct option is A

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Step-by-step explanation:

3/2=x/1

3=2x

x=3/2

x=1.5

so the unit rate of price per melon is 1.5

Answer:

Step-by-step explanation:

unit rate is another way of saying  "slope of the line"

3/2 is the slope of the line..just from inspection of the graph

1.5  is another way to say  3/2  and that's how me might normally say the cost of one watermelon... it's a  $1.50 so the unit rate is 1.5 units.. and here the units are dollars

Answer:

Step-by-step explanation:

x+2y+z=-5

2x-y-3z=5

x+y+2z=0

The given system of equations is a 3×4 matrix:

\(\left[\begin{array}{ccccc}1&2&1&|&-5\\2&-1&-3&|&5\\1&1&2&|&0\end{array}\right]\)

We need to find the echelon form of the rows of this matrix

Multiply line 1 by (-2) and add it to line 2:

\(\left[\begin{array}{ccccc}1&2&1&|&-5\\0&-5&-5&|&15\\1&1&2&|&0\end{array}\right]\)

Multiply line 1 by (-1) and add it to line 3:

\(\left[\begin{array}{ccccc}1&2&1&|&-5\\0&-5&-5&|&15\\0&-1&1&|&5\end{array}\right]\)

Divide the line 2 by (-5) and add it to row 3:

\(\left[\begin{array}{ccccc}1&2&1&|&-5\\0&-5&-5&|&15\\0&0&2&|&2\end{array}\right]\)

Consequently, the matrix in the form of an echelon of rows has the form:

\(\left[\begin{array}{ccccc}1&2&1&-5\\0&-5&-5&15\\0&0&2&2\end{array}\right]\)

After 4 hours, approximately 85.26 mg of the radioactive element will remain from the initial 120 mg sample, considering a decay rate of 3.4% per hour.

To calculate how much of the radioactive element will remain after 4 hours, we need to consider the continuous decay rate of 3.4% per hour.

The decay rate can be expressed as a multiplication factor: 1 - (3.4/100) = 0.966.

To find the amount remaining after 4 hours, we multiply the initial sample size of 120 mg by the decay factor raised to the power of 4 (since there are 4 hours of decay):

Remaining amount = 120 mg * (0.966)^4

Calculating this expression, we find:

Remaining amount = 120 mg * 0.8703

Remaining amount ≈ 85.26 mg (rounded to two decimal places)

Therefore, approximately 85.26 mg of the radioactive element will remain after 4 hours, given the continuous decay rate of 3.4% per hour.

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Answer:

18:11

Step-by-step explanation:

33÷3=11

54÷3=18

so its 18:11

hope it helped! :D

\(\large\huge\green{\sf{Answer:-}}\)

ratio= 54 t shirt/33 sweatshirt

ratio= 54/33

ratio= 18/11

Market power exists when a company can sell its products at prices that are higher than the market average or when its costs are lower than those of its primary rival.

Market power is a company's relative capacity to influence the market price of a product by influencing supply, demand, or both. Producers must be price takers in markets with perfect or near-perfect competition because they have little pricing power.

Cutthroat valuing is the method involved with choosing key costs to best exploit an item or administration based market comparative with the opposition.

A cutthroat valuing technique permits organizations to keep a benefit by decisively setting costs above, underneath, or equivalent to their immediate rivals. Pricing based on competition can be very effective, but not all businesses should use it.

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P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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Event A and B = 4

Event A or B = 2, 3, 4, 5, 6, 8

Complement of Event B = 1, 2, 7, 8

Event A: The marble selected has an even number.

The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.

Event B: The marble selected has a number from 3 to 6.

The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.

Event A and B:

The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.

Therefore, the outcome for Event A and B is: 4.

Event A or B:

The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.

Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.

Complement of Event B:

The complement of an event includes all the outcomes that are not part of the event.

In this case, the complement of Event B includes the numbers that are not from 3 to 6.

Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.

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Complete question

A marble is selected from a bag containing eight marbles numbered 1 to 8.

The number on the marble selected will be recorded as the outcome.

Consider the following events.

Event A: The marble selected has an even number.

Event B: The marble selected has a number from 3 to 6.

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

Event A and B =

Event A or B =

Complement of the event B=

Answer:

They are 24, 692 feet aprart

Step-by-step explanation:

Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.

Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.

Pluto's location to the sea level = 24,568 feet

Goofy's Location to the sea level = 124 feet

their distance apart = 24,568 feet + 124 feet =24, 692 feet apart

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = 6x + 1

Comparing with the general equation above

Slope = 6

Since the lines are parallel their slope are also the same

Slope of parallel line = 6

The equation of the line using point (-7,1) and slope 6 is

\(y - 1 = 6(x + 7) \\ y - 1 = 6x + 42 \\ y = 6x + 42 +1\)

We have the final answer as

Hope this helps you

Answer:

y = 6x + 43

Step-by-step explanation:

The answer on khan

Answer:

A

Step-by-step explanation:

a would be the correct answer to create a rectangle

In such a situation, I would choose not to endorse the athlete.

From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.

When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.

It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.

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If the production of wood tables on an assembly line increases from 1600 tables per shift to 2000 tables per shift, the labor productivity will increase by 25%.We need to determine the percentage change.

To calculate the increase in labor productivity, we need to compare the difference in production levels and determine the percentage change.The initial production level is 1600 tables per shift, and the increased production level is 2000 tables per shift. The difference in production is 2000 - 1600 = 400 tables.

To calculate the percentage change, we divide the difference by the initial production and multiply by 100:

Percentage Change = (Difference / Initial Production) * 100 = (400 / 1600) * 100 = 25%.

Therefore, the correct answer is option C) 25%, indicating that labor productivity will increase by 25% when the production is increased to 2000 tables per shift.

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Answer:

7 rows north of refreshment stand

Step-by-step explanation:

8 rows north and then 2 rows east followed by 1 row south and then 2 rows west will put you directly north of the refreshment stand but since you have traveled one row south, it will be 8-1 = 7 rows north of the refreshment stand

The attached graphic may help you understand better

Hope that helps

Cute Root: C

Exponential: D

Logarithmic: A

A function assigns the value of each element of one set to the other specific element of another set. The options can be matched with the function as C, D, and A, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of different functions is mentioned below.

Hence, the options can be matched with the function as C, D, and A, respectively.

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In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).

15 x 12 = 180.

If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.

The answer is 180^2, or 180 squared.

I was hoping that you'd give me Brainiest as I'm trying to rank up. If you want to, please do!

Answer:

The answer is 180 squared.

Step-by-step explanation:

Happy to help!

In the congruent triangles both triangle are same . In this triangle 2.3.3 congruent triangle image given below to understand better.

According to the question, given that

2.3.3 congruent triangle under congruence triangle are explain:

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle. We can see from the examples PQR and XYZ that PQ = XY, PR = XZ, and QR = YZ, and thus P = X, Q = Y, and R = Z. Then, we can state that XYZ and PQR.

To be congruent, the two triangles must be the same size and shape. It is necessary for both triangles to be superimposed on one another. A triangle appears to be in a different place or have a different look as we rotate, reflect, and/or translate it.

Two triangles must meet five requirements in order to be congruent. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

SSS Congruence Criteria

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

The three angles of BAC must be identical to the corresponding angles of XYZ if, according to the SSS condition, BAC XYZ.

SAS Congruence Criteria

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

The third side (AB) and the other two angles of ABC must be identical to the equivalent side (XY) and the angles of XYZ if ABC XYZ under the SAS condition.

ASA Congruence Criteria

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

AAS Congruence Criteria

Angle-Angle-Side criterion is also known as the AAS criterion. Two triangles are said to be congruent according to the AAS criterion if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.

RHS Congruence Criteria

Right angle-hypotenuse-side congruence is referred to as the RHS criterion. If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then two triangles are said to be congruent according to this criterion.

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