What is the range of the function f(x) = -1/3 |x-1| -2?
O all real numbers
O all real numbers less than or equal to - 2
all real numbers less than or equal to 1
all real numbers greater than or equal to -2

The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188​), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).

To compute the probabilities:

P(X = 2): nb(2;6, 8/18)

P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)

P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)

To calculate the mean value and standard deviation of X:

Mean (μ) = r * (1 - p) / p

Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))

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To construct a truth table for the expression `(x+y′)(x′+z′)(y′+z)`, follow the steps given below:

Step 1: Write the given expression, `(x+y′)(x′+z′)(y′+z)`.

Step 2: List out all possible combinations of the given variables in a table. There are three variables x, y and z, so there will be 2³ = 8 combinations. Let's list them as follows: x=0, y=0, z=0 x=0, y=0, z=1 x=0, y=1, z=0 x=0, y=1, z=1 x=1, y=0, z=0 x=1, y=0, z=1 x=1, y=1, z=0 x=1, y=1, z=1

Step 3: Evaluate the expression `(x+y′)(x′+z′)(y′+z)` for each combination of variables, and write the output values in the truth table. To do this, substitute the given variable values in the expression and then simplify to get the output.

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Answer:

When in public, wear a mask

Just a teeny, weeny task

It helps keep is safe and sound

Health and care, all around

On your mouth, and on your nose

Good to cover both of those

Step-by-step explanation:

It's called the mask song you can ask Google assistant to sing it for you:)

A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.

Find the attachment answer

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The solution is, the table is, for, x= 0, 1, 2, we get, y= 0, 6, 16.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

y = 2x² + 4x

now, for, x= 0 , y = 0

for, x= 1, y = 6

for, x= 2, y = 16

Hence, The solution is, the table is, for, x= 0, 1, 2, we get, y= 0, 6, 16.

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Answer:

1. \( \triangle WXZ \cong \triangle YZX\)

Step-by-step explanation:

\( \triangle WXZ \cong \triangle YZX\)

The sample's initial mass and the remaining mass after 3 days are

\(&{\left[A_0\right]=10 \mathrm{mg}} \\\) ,  \(&{\left[A_t\right]=0.08245 \mathrm{mg}}\)

Given that:

Half life =10.4 hours

\($$t_{1 / 2}=\frac{\ln 2}{k}$$\)

Where, k is rate constant

So,

\(&k=\frac{\ln 2}{t_{1 / 2}} \\\)

\(&k=\frac{\ln 2}{10.4} \text { hour }^{-1}\)

The rate constant, k=0.06664 hour -1

Time =24 hours

Using integrated rate law for first order kinetics as:

\($$\left[A_t\right]=\left[A_0\right] e^{-k t}$$\)

Where,

\($\left[A_t\right]$\)

is the concentration at time\($\mathrm{t}=2 \mathrm{mg}$\)

\($\left[A_0\right]$\)

is the initial concentration =?

So,

\(&2 \mathrm{mg}=\left[A_0\right] \times e^{-0.06664 \times 24} \\\)

\(&{\left[A_0\right]=10 \mathrm{mg}}\)

Now, time =3 days =3 × 24 hours =72 hours ( 1 day =24 hours)

\($$\left[A_0\right]=10 \mathrm{mg}$$\)

Thus,

\($$\left[A_t\right]=10 \times e^{-0.06664 \times 72} \mathrm{mg}=0.08245 \mathrm{mg}$$\)

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Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?

Answer:

A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.

Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study

Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study

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The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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6.2w + 18.76 + 1.9w = -16.39 + 4.4w

Put on one side of the equation the w values and in the other sides the number values:

6.2w+1.9w-4.4w= -16.39-18.76

3.7w= -35.15

Divide both sides of the equation by 3.7

3.7w/3.7 = -35.15/3.7

w= -9.5

Answer: w=14 cm

Step-by-step explanation: w=A

l=266

19=14cm

Answer:

Area = length x width

so you do 266/19 = 14

hope that answers your question

Don't hesitate to comment if you don't understand something.

Step-by-step explanation:

A measurement using a ruler marked in cm is reported as 12 cm. The range of values for the actual measurement can be from 11.5 cm to 12.5 cm.

A measurement is a quantification of a characteristic, such as the weight, height, volume, or size of an object. Measurements of physical parameters such as length, mass, and time are commonly used.

The size of a quantity, such as 12 meters or 25 kilograms, is usually given as a number.

The value of the quantity is the numerical answer, while the unit is the type of measurement used to express it.

In the question, it is given that a measurement is reported as 12 cm, but the actual measurement can have some deviations or uncertainties. This deviation is called the uncertainty of the measurement.

The range of values for the actual measurement can be given by the formula:

Measured value ± (0.5 x smallest unit)where 0.5 is the uncertainty associated with the measurement using a ruler marked in cm

.In this case, the smallest unit is 1 cm, so the range of values for the actual measurement can be calculated as:

12 cm ± (0.5 x 1 cm)

= 12 cm ± 0.5 cm

Therefore, the range of values for the actual measurement is from 11.5 cm to 12.5 cm.

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The value of z if the area to the left of z is 0.9082 will be 1.2816.

The area to the left of a standard normal random variable Z is given by the cumulative distribution function (CDF) of the standard normal distribution. If the area to the left of Z is 0.9082, this means that P(Z <= z) = 0.9082. To find the value of z, we can use a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution, often denoted as "norminv" or "z^-1". In this case, we would find that z = 1.2816, as P(Z <= 1.2816) = 0.9082.

The value of z in this case is 1.2816, as we found that the area to the left of z is 0.9082, which means P(Z <= z) = 0.9082. This value can be found by using a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution.

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We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.

The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.

In the given case, we have two types of workers: H-type and L-type.

The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.

We are to determine how to allocate the workers to get the maximum output.

The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.

Here's how we arrive at the solution:

For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.

We can have two possible groupings as follows:

{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.

{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.

The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.

Thus, to get the maximum output, we should allocate the workers as follows:

{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above

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The standard equation of the circle whose diameter is the line segment with endpoints (-3, 4) and (3, -4) is x^2 + y^2 = 100.

To find the standard equation of a circle given its diameter, we need to find the center and the radius of the circle.

The center of the circle can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints of the diameter. In this case, the x-coordinate of the center is (-3 + 3)/2 = 0, and the y-coordinate of the center is (4 + (-4))/2 = 0. Therefore, the center of the circle is (0, 0).

The radius of the circle is half the length of the diameter. In this case, the distance between the endpoints (-3, 4) and (3, -4) is given by the distance formula: √[(x2 - x1)^2 + (y2 - y1)^2]. Plugging in the values, we get √[(3 - (-3))^2 + ((-4) - 4)^2] = √[6^2 + (-8)^2] = √(36 + 64) = √100 = 10. Therefore, the radius of the circle is 10.

The standard equation of a circle with center (h, k) and radius r is given by (x - h)^2 + (y - k)^2 = r^2. Plugging in the values, we get (x - 0)^2 + (y - 0)^2 = 10^2, which simplifies to x^2 + y^2 = 100.

Therefore, the standard equation of the circle whose diameter is the line segment with endpoints (-3, 4) and (3, -4) is x^2 + y^2 = 100.

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The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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Answer:

6

Step-by-step explanation:

if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.

The step in which Yvonne fist make an error while solving the quadratic equation by completing the square, is step 1.

A quadratic equation is the equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

\(6x^2+ 24x+ 7 = 0\)

He is solving the above equation by completing the square.

First steps to solve this quadratic equation by completing the square is,

Take the constant value 7 at the opposite side of the equation as,

\(6x^2+ 24x= -7\)

Here, the number seven was a positive number, which we have changed to negative because this number bring the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

\(6x^2+ 24x= 7\)

Here, Yvonne does not change the sign of the number 7 while taking it other side of the equation.

Hence, the step in which Yvonne fist make an error while solving the quadratic equation by completing the square, is step 1.

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Answer:  step 1

Step-by-step explanation: took the test

Answer:

3 buses and 5 cars

Step-by-step explanation:

There were a total number of 8 vehicles used to carry the students and 110 students in total.

The maximum number of buses there could have been was 3 because 30 goes into 110 3 times so there is 3 buses.

This leaves 20 students remaining and each car could carry 4 students.

20 divided by 4 = 5 which meant there were 5 cars.

This means there must have been 5 cars and 3 buses taken to the beach.

Answer:

(-1, -4.5)

(-1.5, -2.5)

Step-by-step explanation:

To find the midpoint add the coordinates and divide by 2

19.( -8,-2) (6,-7)

((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)

20. ( 6,5) (-8,-10)

(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)

Answer:

19. (-1, -4.5)

20. (-1, -2.5)

Step-by-step explanation:

19.

Use the midpoint formula.

\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)

Substitute the values.

\(\frac{-8+6}{2},\frac{-2-7}{2}\)

Add/Subtract the numerators.

\(\frac{-2}{2},\frac{-9}{2}\)

Divide.

-1, -4.5

20.

Use the midpoint formula.

\(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\)

Substitute the values.

\(\frac{6-8}{2},\frac{5-10}{2}\)

Add/Subtract the numerators.

\(\frac{-2}{2},\frac{-5}{2}\)

Divide.

-1, -2.5

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

27 is your answer

Step-by-step explanation:

if 2;3 is your ratio and u have 18 peppermint gum then divide 18 by 2 and u get 9 then u multiply 9 by 3 and u get 27

The total number of spearmint gums will be 27

Given is that a container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of peppermint gum to spearmint gum is 2 : 3.

Let the number of spearmint gum be {x}. So, we can write -

2/3 = 18/x

{x} = (18 x 3)/2

{x} = 27

Therefore, the total number of spearmint gums will be 27.

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Answer:

A product of a number and 12 is increased by 23

Answer:

-5

Step-by-step explanation:

Subtracting a negative is just like adding a positive. A way to think about this is that the negative cancel each other out are you left with a positive number.

You can rewrite this as -87 + 82.

Then, you solve and get -5.

Answer:

-5

Step-by-step explanation:

When you are subtracting a negative number, it is the same as adding a positive. We can re-write the expression as:

-87 + 82

When adding a negative and positive number, the one with the larger absolute value controls what sign the sum has. In this case the sum would be negative because 87 > 82. Also, we would subtract these absolute values: 87-82 = 5. This has to be negative, meaning the answer is -5.

The probability of event A occurring given that event B happens is expressed using the probability notation p(A|B).

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

Contrast unconditional probability with conditional probability. The likelihood that an event will occur regardless of whether any previous occurrences have occurred or any other circumstances are present is known as unconditional probability.

Contrast unconditional probability with conditional probability.

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Answer:

0.26

Solve it, it is very easy

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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Answer:

1/2 that is the right answer

Main Answer: the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

Supporting Question and Answer:

How can we find the sum of an infinite geometric series and apply it to simplify the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠?

To determine the sum of an infinite geometric series, we use the formula

S = a / (1 - r). By applying this formula and simplifying the expression, we can determine that the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

Body of the Solution:

To find the value of the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠, let's break it down step by step.

First, let's consider the first sum,

∑n=0∞arn:

∑n=0∞arn = a^0r^0 + a^1r^1 + a^2r^2 + a^3r^3 + ...

This is a geometric series with the common ratio of r.

Substituting the values into the sum of the geometric series's formula, we get:

∑n=0∞arn = a / (1 - r)

Next, let's consider the second sum,

∑n=1∞arn:

∑n=1∞arn = a^1r^1 + a^2r^2 + a^3r^3 + ...

This is also a geometric series with the common ratio of r. Similarly,

∑n=1∞arn = a × (r / (1 - r))

Now, let's substitute these values back into the original expression:

⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ = ⎛⎝a / (1 - r)⎞⎠ − ⎛⎝a * (r / (1 - r))⎞⎠

Simplifying this expression:

=  \(\frac{(a - ar)}{(1 - r)}\)

= \(\frac{a(1-r)}{(1-r)}\)

= a

Final Answer:

Therefore, the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.

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