Which statement is incorrect?

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

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

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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In linear equation, The solution to this system is (80, 120)

What is a linear equation example?

The following system of equations represents the given situation

x + y = 200

x = y - 40; substituting x from this equation to the first:

y - 40 + y = 200

2y = 240

y = 120

Corresponding value of x:

x = 120 - 40

x = 80

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Answer:

the answer is no solution

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

An equation is an expression used to show the relationship between two or more numbers and variables.

This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.

Hence:

Amount of rice harvested =  7,553 bushels per acre * 690 acres = 5211570 bushels

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

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Answer: B

Step-by-step explanation:

if on edg just took the quiz

The PMF of the Generalized Negative Binomial Distribution, when both α and p are positive integers, is derived using properties of the gamma function and validating the terms involving p and (1 - p).

When both α and p are positive integers, the probability mass function (PMF) of the Generalized Negative Binomial Distribution can be derived as follows:P(X = x) = (Γ(α + x) / (x! Γ(α))) * (p^α) * ((1 - p)^x)

Here, Γ(α) denotes the gamma function evaluated at α, and x! represents the factorial of x.To show this, we need to demonstrate that the PMF satisfies the properties of a probability distribution, including non-negativity, normalization, and the sum of probabilities equaling 1. A more detailed proof would involve using properties of the gamma function, including the relationship Γ(α + 1) = αΓ(α). Additionally, we would need to show that the terms involving p and (1 - p) satisfy the requirements of a valid probability distribution.



Therefore, The PMF of the Generalized Negative Binomial Distribution, when both α and p are positive integers, is derived using properties of the gamma function and validating the terms involving p and (1 - p).

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Answer:

hdhdb

Step-by-step explanation:

The measure of ZAFD is 50 degrees.

Based on the given information:

ZCFE is congruent to ZCFA.

mZCFB = 68°.

mZEFD = 62°.

To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.

Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.

Therefore, mZCFA = mZCFE.

Now, let's find the measure of angle ZCFE:

mZCFE = mZCFB + mZEFD (Angle Addition Postulate)

mZCFE = 68° + 62°

mZCFE = 130°

Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.

Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.

The sum of the angles in a quadrilateral is always 360°.

mZAFD + mZAFB + mZBFD + mZBFA = 360°

We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).

Therefore, we can rewrite the equation as:

mZAFD + 90° + 90° + mZBFA = 360°

Simplifying:

mZAFD + 180° + mZBFA = 360°

Rearranging the equation:

mZAFD + mZBFA = 360° - 180°

mZAFD + mZBFA = 180°

We know that mZBFA is equal to mZCFA, which is 130°.

Substituting the known values into the equation:

mZAFD + 130° = 180°

Subtracting 130° from both sides:

mZAFD = 180° - 130°

mZAFD = 50°

Therefore, the measure of ZAFD is 50 degrees.

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D. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

#1

\(\\ \sf\Rrightarrow -2x=-3x+14\)

\(\\ \sf\Rrightarrow -2x+3x=14\)

\(\\ \sf\Rrightarrow x=14\)

#2

\(\\ \sf\Rrightarrow x^2-3y+12\)

\(\\ \sf\Rrightarrow 5^2-3(5)+12\)

\(\\ \sf\Rrightarrow 25-15+12\)

\(\\ \sf\Rrightarrow 10+12\)

\(\\ \sf\Rrightarrow 22\)

Answer:

Both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to \(1000+300x\)

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to \(2500+150x\)

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve \(1000+300x=2500+150x\)

\(1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10\)

So, both Wolverine and James Bond will have paid the same amount after 10 months.

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Based on the given scenario, the kind of sequence explained is an arithmetic sequence

First term, a = 19

Second term, a + d

28 = 19 + d

28 - 19 = d

9 = d

Third term, a + 2d

= 19 + 2(9)

= 19 + 18

= 37

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In linear equation , height of the statue = 13.18 m

What in mathematics is a linear equation?

In ΔDEC

   tan θ = perpendicular / base

             = ED/DC

    tanθ  = 1.5/1.2

   θ  = tan⁻¹ ( 1.5/1.2 )

   θ =  tan⁻¹ ( 1.25 )

   θ  = 51. 3401°

So, In Δ ABC

   Sin θ   = perpendicular / hypotenuse  = AB/AC

 Sin  51. 3401° = x/16.8

  x =  Sin 51. 3401° ×  16.8

 x = .780867809 × 16.8

x  = 13.1185792

∴ height of the statue = 13.18 m

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Answer:

75%

Step-by-step explanation:

75/100=.75

Answer:

75%

Step-by-step explanation:

75/100 = .75

If it was 50 throws that were completed it would be 50% because 50/100 = .50

We may be 90% confident that the actual proportion of folks who favor the historic Greece math show off lies inside the c language of 0.372 to 0.424.

To make a 90% confidence interval for the given portion of people who favor the ancient Greece math exhibit, we can use the formula:

Confidence Interval = p ± z * sqrt((p * (1 - p)) / n)

Given that:

Number of people polled (sample size), n = 512

Number of people who favor the ancient Greece math exhibit, p = 204

p = 204 / 512 ≈ 0.398

Standard Error = sqrt((p * (1 - p)) / n)

= sqrt((0.398 * (1 - 0.398)) / 512)

≈ sqrt(0.000242) ≈ 0.01556

Confidence Interval = p ± z * Standard Error

= 0.398 ± 1.645 * 0.01556

≈ 0.398 ± 0.02556

≈ (0.372, 0.424)

Thus, based on the sample data, we estimate that between 37.2% and 42.4% of all visitors to the museum would consider the ancient Greece math exhibit as their favorite.

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In the given diagram, the value of x is 15

From the question, we are to determine the value of x

From one of the circle theorems, we have that

Opposite angles of a cyclic quadrilateral are supplementary.

Thus, in the diagram

5x + 7x = 180°

12x = 180°

x = 180°/12

x = 15

Hence, the value of x is 15

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Answer:

2,-1,-2,-1

Step-by-step explanation:

You just replace x with the given numbers

Answer: Let me help ya!

Step-by-step explanation: It's simple, Math is the science of numbers and their operations.

Have a noice day!

Answer:

5:6

Step-by-step explanation:

Answer:

160 ounces

Step-by-step explanation:

multiply the mass value by 16

The mean and the standard deviation of the sampling distribution of x are given as follows:

Mean: 225 seconds.

Standard deviation: 19 seconds.

How to acquire the mean and the standard deviation of the sampling distribution of x?

The mean and the standard deviation of the sampling distribution of x are characterized according to the Central Limit Theorem, which expresses that:

The mean is equivalent to the population mean.

The standard deviation is the division of the population standard deviation by the square foundation of the example size.

The boundaries for this issue are given as follows:

Population mean of 225 seconds.

Population standard deviation of 60 seconds.

Test size of 10 seconds.

Subsequently the standard deviation for the sampling distribution of x is given as follows:

s = 60/sqrt(10) = 19 seconds.

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Answer:

1. Becky's rate of sales is 9 cups per hour

2. Mayisha's rate of sales is 10 cups per hour

3. Becky is selling 1 fewer cups per hour than Mayisha

4. Becky started with 2 fewer cups than Mayisha

Step-by-step explanation:

1. 30-12=18 18/2=9

2. 31-21=10 21-11=10

3. 10-9=1

4. 30+9=39 31+10=41 41-39=2

Answer:

Becky's rate of sales is \(\boxed{\sf 9}\) cups per hour.

Mayisha's rate of sales is \(\boxed{\sf 10}\) cups per hour.

Becky is selling \(\boxed{\sf 1\: fewer}\) cup(s) per hour than Mayisha.

Becky started with \(\boxed{\sf 2}\) fewer cups than Mayisha.

Step-by-step explanation:

Mayisha

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 31 & 21 & 11\\\cline{1-4} \end{array}\)

Becky

\(\begin{array}{|c|c|c|c|}\cline{1-4} \sf Hours\:(x) & 1 & 2 & 3\\\cline{1-4} \sf Cups\: {left}\:(y) & 30 & & 12\\\cline{1-4} \end{array}\)

Selling at a steady rate.

To calculate the rate of sales, use the rate of change formula:

\(\sf Rate\:of\:change = \dfrac{change\:in\:y}{change\:in\:x}\)

Therefore:

\(\textsf{Becky's rate of sales}=\dfrac{12-30}{3-1}=-9\)

Therefore, as the number of cups reduces by 9 each hour, Becky's rate of sales is 9 cups per hour.

\(\textsf{Mayisha's rate of sales}=\dfrac{11-31}{3-1}=-10\)

Therefore, as the number of cups reduces by 10 each hour, Mayisha's rate of sales is 10 cups per hour.

As 9 is one less than 10, Becky is selling 1 fewer cup(s) per hour than Mayisha.

As Becky had 30 cups left after 1 hour, and her rate of sales is 9 cups, then she started with 30 + 9 = 39 cups.

As Mayisha had 31 cups left after 1 hour, and her rate of sales is 10 cups, then she started with 31 + 10 = 41 cups.

As 39 is 2 less than 41, Becky started with 2 fewer cups than Mayisha.

Step-by-step explanation:

(x-2) is not a factor

x = -3 is not a zero

The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.

What is the area of rectangular shape?

In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Given that the length of a cabin is equal to 5 feet more than twice the width.

Assume that the width of the cabin be w.

Then the mathematical expression of twice the width is 2w.

Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.

The area of rectangular shape is product of length and width.

The area of the cabin is (2w + 5)w

Apply distributive property:

= 2w × w + 5 × w

= 2w² + 5w

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The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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Answer:

La respuesta es A

Step-by-step explanation:

simplemente tienes que multiplicar 7 x 3 que te da 21 y luego tienes que sumar el 2 del numerador (siempre multiplica el o los enteros por el denominador y sumale el numerador)

Answer:

A

Step-by-step explanation:

The larger number in a mixed number represents how many "wholes" of the fraction there are. The fraction in a mixed number is sort of like the "leftovers", the amount that doesn't fit into a whole number. In this case, the whole number is 7, meaning there are 7 amounts of 3/3. You would multiply the whole number by the number in the denominator of the fraction, which would equal 21. The improper fraction of the whole number would be 21/3 (21 divided by 3 equals 7). Now you would add that to the fraction 2/3. The answer would be 23/3.

I hope this makes some type of sense, I didn't explain it very well.

To determine the equation of a plane through three points A(2,0,-3), B(1,2,3), and C(0,1,-1), we can use the point-normal form of a plane equation. The equation will be of the form Ax + By + Cz + D = 0.

To find the equation of the plane, we need to find the values of A, B, C, and D in the equation Ax + By + Cz + D = 0.

First, we need to find two vectors that lie in the plane. We can use the vectors AB and AC.

Vector AB = B - A = (1,2,3) - (2,0,-3) = (-1, 2, 6)

Vector AC = C - A = (0,1,-1) - (2,0,-3) = (-2, 1, 2)

Next, we find the cross product of AB and AC to find the normal vector to the plane.

Normal vector = AB x AC = (-1, 2, 6) x (-2, 1, 2) = (-14, -10, -4)

Now, we have the normal vector (-14, -10, -4). We can choose any of the three given points A, B, or C to substitute into the plane equation. Let's use point A(2,0,-3).

Substituting the values, we have:

-14(2) - 10(0) - 4(-3) + D = 0

-28 + 12 + D = 0

D = 16

Therefore, the equation of the plane is:

-14x - 10y - 4z + 16 = 0.

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