Find the next term of the following sequence. 25, 10, 4, ...
1.) 0
2.) 8/5
3.) -5​

Answer:

0.0016283

Step-by-step explanation:

Given that:

Proportion of defective bulbs, p = 30% = 0.3

Sample size, n = 19 bulbs

Probability that the lot will pass inspection :

P(none of the 19 is defective) Or P(only one of the 19 is defective)

P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19

0.7^19 = 0.0011398

P(only one of the 19 is defective) :

P(1 defective) * P(18 not defective )

(0.3) * (1 - 0.3)^18

0.3 * 0.7^18

0.3 * 0.001628413597910449 = 0.0004885

Hence,

P(none of the 19 is defective) + P(only one of the 19 is defective)

0.0011398 + 0.0004885) = 0.0016283

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

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The associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

Now, The p-value for a one-tailed t-test with a sample size of 18 and a test statistic of 1.9,

Hence, we need to look up the t-distribution table.

So, Using a one-tailed test with,

df = n - 1

= 18 - 1 = 17 degrees of freedom

We find that the area to the left of 1.9 under the curve is 0.0359.

This means that there is a 3.59% probability of observing a t-statistic less than or equal to 1.9 if the null hypothesis is true.

Therefore, the associated p-value for this left-tailed t-test is 0.0359 or 3.59%.

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Answer:

Point estimate = 76.4

Margin of Error = 2.680

Step-by-step explanation:

Given that distribution is approximately normal;

The point estimate = sample mean, xbar = 76.4

The margin of error = Zcritical * s/√n

Tcritical at 95%, df = 42 - 1 = 41

Tcritical(0.05, 41) = 2.0195

Margin of Error = 2.0195 * (8.6/√42)

Margin of Error = 2.0195 * 1.327

Margin of Error = 2.67989

Margin of Error = 2.680

Answer: 10

Step-by-step explanation:

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

The p-value of 4.91541E-15 (or 4.91541 x 10^-15) is considerably beneath the conventional significance level of 0.05 employed in statistical hypothesis testing.

In hypothesis testing, the p-value symbolizes the probability of detecting the test statistic (or an even larger value) under the null hypothesis. A p-value of 0.05 or below often appears statistically relevant, suggesting powerful evidence contrary to the null hypothesis.

Therefore, a p-value of 4.91541E-15 being far less than 0.05 implies very compelling evidence against the null hypothesis.

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The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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By the graph of function we say that,

⇒ The graph has a domain of {x | 0 < x < ∞} and an x - intercept of (1, 0).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f (x) = ln x

Now, When we draw the graph of function f(x) = ln x, we get;

The graph has a domain of {x | 0 < x < ∞}

And, The graph has an x - intercept at (1, 0).

Thus, The correct statement is,

⇒ The graph has a domain of {x | 0 < x < ∞} and an x - intercept of (1, 0).

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None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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Answer:

The solution is 9

Ages of children falls in the Ratio of the variable . Ages of children: 4 years, 5 years, 6 years, 7 years, and 8 years

What level of measurement is the ages of children?

Technically, age is a continuum and a ratio. The age of a person does, after all, have a meaningful zero point (birth), and if you measure it well enough, it is continuous.

Age is what kind of variable and what scale of measurement?

The quick response is that age is taken into account a ratio variable because it has a "true zero" value.

                         The age of a person can be zero (a baby), and we can claim that the age difference between 0 and 10 years is equal to the age difference between 10 and 20 years.

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Answer:

3 ithinks so it lol haha

Answer: 12

Step-by-step explanation:

The are 4 1/4 in 1

3x4=12

Answer:

770000

Step-by-step explanation:

multiply the volume value by 100000

Answer:

770,000cL

Step-by-step explanation:

kL= kiloliter

cL= centiliter

cL=kL*10^5

so basically add 5, 0's to whatever you have

7.7*10^5=770,000

or 7.7*100,000

Answer:

0

Step-by-step explanation:

I don't see any variables so simplify both sides.

-8 - 20 = -40 - 20

-28 = -60

is a false statement. No solutions.

The scores she had on her five tests according to the task content are; 78, 82.7, 85.4, 87.7, 90.

It follows from the task content that the range of her scores was 12 and mode is 90.

Hence, her lowest score must be; 90-12 = 78.

The other two scores apart from the median are therefore; (78+85.4)/2 = 82.7 and (85.4+90)/2 = 87.7.

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The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

If cars did not exist people could do as the did before they were invented. Such as walk to where they need to go or use a horse and buggy or carriage.

Step-by-step explanation:

Answer:

The first one!

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

All of them can be divided by 7, which make them proportional.

7/7=1, 14/7=2, 28/7=4, and 35/7=5

Answer:

19/5= 3 4/5.

Step-by-step explanation:

19 divided by 5 equals 3 with a left over of 4. So 3 and 4/5 should be the answer. hope this helps! have a good day!

Answer:

x< - 8

Step-by-step explanation:

3x <-24

x < - 24

3

x< - 8

x < - 8

Step-by-step explanation:

3x < - 24

Divide 3 on both sides,

3x / 3 < - 24 / 3

x < - 8

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

The equation that represents the property that opposite angles in an inscribed quadrilateral are supplementary is 8x + 3y = 171.

If two angles sum up to 180 degrees, they are referred to as supplementary angles. When combined, supplementary angles make a straight angle (180 degrees).

If two angles x and y are supplementary, then x + y = 180.

A quadrilateral is inscribed in a circle.

The four internal angles of the quadrilateral are:

14x + 7, 3y + 12, 2y + 11, 8x - 3

The opposite angles in an inscribed quadrilateral are supplementary.

Therefore,

14x + 7 + 2y + 11 = 180

14x + 2y + 18 = 180

14x + 2y = 162

Similarly,

3y + 12 + 8x - 3 = 180

8x + 3y + 9 = 180

8x + 3y = 171

Hence the correct equation is (d).

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Answer:

C I got that

shdjdhfbfhfkdnfhfhfhfbf it wants me to do 20 characters long