in regression, the variable being predicted (b) is known as the dependent variable. a. true b. false

\( \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3\)

The answer is option d. X = 3

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

Answer: 60%, or D. hope this helps!

Step-by-step explanation:

Add all Blue - 30 + 20 = 50  so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%

Answer:

D. 60%

Step-by-step explanation:

50 total blue candies (20 + 30)

30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%

Answer:

37.7

Step-by-step explanation:

Large circle = \(\pi\)r² = \(\pi\)5² = 78.54

Medium circle = \(\pi\)3²= 28.27

Small circle = \(\pi\)2²= 12.57

78.54-28.27-12.57 = 37.7

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we find the square root of 100(for this we use a calculator)

\(\sqrt{100\\}\) = 10

The square root of 100 is 10.

Now locate 10 on a number line.

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides

(a)

P = a + b + c + d

  = x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms

 = 12x + 19

(b)

If x = 4 , then

P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67

(c)

If x = 2 , then

P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43

(d)

P = a + b + c + d

   = x² + 4x + 8 + 2x² + x ← collect like terms

   = 3x² + 5x + 8

\(\dfrac{2}{3} (n-6)=5n-43\)

Distribute:

\((\dfrac{2}{3} )(n)+(\dfrac{2}{3} )(-6)=5n-43\)

\(\dfrac{2}{3} n-4=5n-43\)

Subtract 5n from both sides:

\(\dfrac{2}{3} n-4-5n=5n-43-5n\)

\(-\dfrac{13}{3} n-4=-43\)

Add 4 to both sides:

\(-\dfrac{13}{3} n-4+4=-43+4\)

\(-\dfrac{13}{3} n=-39\)

Multiply both sides by -3/13:

\(-\dfrac{3}{13} \times(-\dfrac{13}{3} n)=-\dfrac{3}{13} \times(-39)\)

\(\fbox{n = 9}\)

The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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Answer:

Stuck In same question Jinx

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

They are corresponding angles if M and N are parallel

Answer:

m∠b = 65°

Step-by-step explanation:

∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.

Answer:

25

Step-by-step explanation:

5 x 5 = 25

Answer:

the area is 20

Step-by-step explanation:

each side is 5 and a square has 4 sides

5x4=20

Answer:

x=5

Step-by-step explanation:

Answer:

a. 8/20 - 2/5

b. 2/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a child is chosen at random, we are picking from all the children, of which there are a total of 20 (it says that at the top). You could also just add up all the numbers in the boxes to see that there are 20 students. There are a total of 8 girls. So the answer to a. What is the probability that the chosen child is a girl is the ratio of girls to total children:

\(\frac{8}{20}\).  But always reduce if you can, so the actual ratio of girls to total students is

\(\frac{8}{20}=\frac{4}{10}=\frac{2}{5}\).  So

a. \(\frac{2}{5}\)

Now we want to know, out of girls only, what is the chance we will pick a left-handed girl. Out of the 8 girls total, only 2 of them are left-handed (not too many of us around!). Stating that as a ratio (which is another way to say "fraction"), we have

\(\frac{2}{8}\). But again, reduce if you can, so

b. \(\frac{1}{4}\)

The answer should be A. 4 Meters

Answer:

B

Step-by-step explanation:

The numbers in the other functions are less than one which means that they are decreasing.  

Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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Answer:

73

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1

73

Decimal Form:

0.01369863

…

Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

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Answer:

15c

Step-by-step explanation:

3c x 5c =

3 x 5= 15

15c

the easiest way to do this problem is take away the c's in the expression and add them to your answer at the end which you would just be multiplying 5 x3 which = 15 then you would put the c next to the 15 so the answer would be 15c

From the description of the construction of the congruent angle, we have;

The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X

The reason for making the above selection is as follows:

The steps to construct an angle congruent to another angle are;

Step 1: Given an angle PQR, draw a working segment NT

Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively

Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X

Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y

Step 5: The points Y and N are joined with a straight line to form the congruent angle

Analysis of the steps:

Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X

Therefore;

Step 3 is best described by the following statement;

Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X

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Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

This option gives us the step 3.

This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at  point X.

This can be explained more with the help of a diagram.

Two angles are equal when their dimensions are equal.

Arcs of equal length would give congruent angles.

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A 99% confidence interval for the population proportion of adults who have started paying bills online in the last year, based on a survey of 3091 adults where 1413 reported doing so, is approximately (0.448, 0.492). This means that we can be 99% confident that the true population proportion falls within this interval.

To construct a confidence interval for the population proportion, we can use the formula:

CI = p ± z * sqrt((p * (1 - p)) / n)

where p is the sample proportion, z is the z-score corresponding to the desired confidence level (99% in this case), and n is the sample size.

Given that 1413 out of 3091 adults in the survey reported starting to pay bills online in the last year, the sample proportion is p = 1413/3091 ≈ 0.457.

Using a z-score for a 99% confidence level, which corresponds to approximately 2.576, and substituting the values into the formula, we can calculate the margin of error as follows:

ME = 2.576 * sqrt((0.457 * (1 - 0.457)) / 3091) ≈ 0.022

Therefore, the confidence interval is approximately 0.457 ± 0.022, which simplifies to (0.435, 0.479) when rounded to three decimal places.

Interpretation: We can be 99% confident that the true proportion of adults who have started paying bills online in the last year is between 0.448 and 0.492. This suggests that a significant portion of the adult population has transitioned to online bill payments.

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c = z * SE = 1.8808 * (120 / sqrt(61)). The value of c represents the margin of error or the range within which the sample mean is expected to fall with a 0.94 probability, assuming a normal distribution and a known population standard deviation.

To find the value of c such that the probability of the sample mean falling within c of the population mean is 0.94, we need to use the concept of the standard error of the mean.

The standard error of the mean (SE) is given by the formula:

SE = σ / sqrt(n)

where σ is the population standard deviation and n is the sample size.

In this case, the sample size is 61 and the population standard deviation is 120.

SE = 120 / sqrt(61)

To find the value of c, we need to consider the desired probability and the corresponding z-score from the standard normal distribution. The z-score represents the number of standard errors away from the mean.

Since the desired probability is 0.94, the corresponding z-score can be found using the standard normal distribution table or calculator. For a 0.94 probability, the z-score is approximately 1.8808.

Now, we can calculate the value of c:

c = z * SE = 1.8808 * (120 / sqrt(61))

By evaluating this expression, we can find the specific value of c.

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The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

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Possessive adjectives and possessive pronouns are used to indicate ownership or possession. Here's a more detailed explanation for each sentence:

I am wearing my raincoat.

In this sentence, "my" is a possessive adjective that shows ownership. It indicates that the raincoat belongs to the speaker.

He is wearing his t-shirt.

In this sentence, "his" is a possessive adjective that indicates ownership. It shows that the t-shirt belongs to the person being referred to as "he."

She is wearing her skirt.

In this sentence, "her" is a possessive adjective indicating that the skirt belongs to the person being referred to as "she."

We are wearing our shorts.

In this sentence, "our" is a possessive adjective indicating that the shorts belong to the group of people being referred to as "we."

They are wearing their socks.

In this sentence, "their" is a possessive adjective showing that the socks belong to the group of people being referred to as "they."

You are wearing your pants.

In this sentence, "your" is a possessive adjective indicating that the pants belong to the person or people being referred to as "you."

These shorts are mine. (i)

In this sentence, "mine" is a possessive pronoun that replaces the need for a noun and possessive adjective. It indicates that the shorts belong to the speaker.

This tie is his. (he)

In this sentence, "his" is a possessive pronoun that replaces the need for a noun and possessive adjective. It indicates that the tie belongs to the person being referred to as "he."

This belt is hers. (she)

In this sentence, "hers" is a possessive pronoun indicating that the belt belongs to the person being referred to as "she."

These sneakers are ours. (we)

In this sentence, "ours" is a possessive pronoun showing that the sneakers belong to the group of people being referred to as "we."

These dresses are theirs. (they)

In this sentence, "theirs" is a possessive pronoun indicating that the dresses belong to the group of people being referred to as "they."

In summary, possessive adjectives are used before a noun to show ownership, while possessive pronouns can stand alone to indicate ownership without the need for a noun.

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Answer:

\(9,11,13\)

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be \(x,x+2,x+4\).

According to question,

\(x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9\)

So, the integers are \(x=9,x+2=9+2=11,x+4=9+4=13\)

Numbers from least to the greatest: \(9,11,13\)

Based on the analysis, the equations can be ordered from least to greatest based on the number of solutions as follows:

-3x + 6 = 2x + 1

-4 - 1 = 3(-x) - 2

3x^3 = 2x - 2

To determine the number of solutions for each equation and order them from least to greatest, let's analyze each equation:

-3x + 6 = 2x + 1

This equation is a linear equation. By simplifying and combining like terms, we have:

-3x - 2x = 1 - 6

-5x = -5

x = 1

This equation has one solution.

-4 - 1 = 3(-x) - 2

By simplifying both sides of the equation, we get:

-5 = -3x - 2

Adding 3x to both sides and simplifying further:

3x - 5 = -2

3x = 3

x = 1

This equation also has one solution.

3x^3 = 2x - 2

This equation is a cubic equation. To determine the number of solutions, we need to solve it or analyze its behavior further.

Since the exponents on both sides of the equation are different (3 and 1), it is unlikely that they intersect at more than one point. Therefore, we can conclude that this equation also has one solution.

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let the unknown side be x , so we have :

25^2 = 20^2 + x^2

625 = 400 + x^2

x^2 = 625 - 400

x^2 = 225

x = √225

x = 15

Answer:

All you have to do is image flipping the triangle on the right over and then you'll see they are equal. You can also look at AB and DE and see they both are right angles.

Step-by-step explanation:

The resulting expressions for \((f\,\circ\,g)(x)\) and \((g\,\circ\,f)(x)\) are \(5- 2\cdot x^{2}\) and \(-4\cdot x^{2} + 12\cdot x -5\), respectively.

A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:

\((f\,\circ\,g) (x) = f(g(x))\) (1)

\((g\,\circ \,f)(x) = g(f(x))\) (2)

If we know that \(f(x) = 2\cdot x - 3\) and \(g(x) = 4 - x^{2}\), then we have the following compositions:

\((f\,\circ\, g) (x) = 2(4-x^{2})-3\)

\((f\,\circ\,g)(x) = 5-2\cdot x^{2}\)

\((g \circ f) (x) = 4 - (2\cdot x-3)^{2}\)

\((g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5\)

The resulting expressions for \((f\,\circ\,g)(x)\) and \((g\,\circ\,f)(x)\) are \(5- 2\cdot x^{2}\) and \(-4\cdot x^{2} + 12\cdot x -5\), respectively.

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