please solve the question.

Answer:

Step-by-step explanation:

25 x 6/5 = 30

Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.

What is Standard deviation?

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

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there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

When rolling five distinguishable dice where no number appears more than once, we are essentially looking for the number of permutations of a set of five distinct objects.

The formula for permutations of n distinct objects taken r at a time is given by:

n!/(n-r)!

In this case, we have n=5 and r=5, so the formula becomes:

5!/0! = 5! = 120

Therefore, there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

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There are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

To determine how many distinguishable outcomes there are when rolling five distinguishable dice where no number

appears more than once, we can use the concept of permutations.

Since there are 6 sides on each die and no number can appear more than once, we need to find the number of ways

to arrange 5 unique numbers out of 6. This can be represented as a permutation, specifically 6P5.

To calculate 6P5, use the formula:

6P5 = 6! / (6-5)!

where "!" represents the factorial function.

Calculating the factorials:

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

1! = 1

Now, divide the two factorials:

6P5 = 720 / 1 = 720

So, there are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

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Point, `P (1, -2, 3)`Vector, `v`Let `l` be the line passing through point `p` with direction `v`.a. Parametric Equation of the line `l`Since, line `l` passing through point `P (1, -2, 3)` with direction `v` which is in the vector form.

So, the equation of the line passing through `P (1, -2, 3)` with direction `v` in vector form is given by:`r = a*v + p`

Where,`r` is the position vector of any point on the line and`a` is any scalar.

Let `r = `

and `v = `.

Therefore, `r =  = a* + <1, -2, 3>``=>  = `

So, the parametric equation of the line `l` passing through `P (1, -2, 3)` with direction `v` is given by:`x = a²+1``

y = b.a-2``

z = c.a+3`

Symmetric Equation of the line `l`. To find the symmetric equation of the line `l`, let `x = t`.

So, `y = bt-2`

and `z = ct+3`.

Therefore, the symmetric equation of the line `l` is:`(x-1)/a = (y+2)/b

= (z-3)/c`c.

Intersection of the line with the XY-plane. The equation of the XY plane is `z=0`.

Putting `z=0` in the equation of the line `l`,

we get:`x = a²+1``

y = b.a-2``0

= c.a+3`

=> `c.a = -3``

=> a = (-3/c)`

Putting `a = (-3/c)` in the equation of `x`,

we get:`x = a²+1

= ((-3/c)²)+1``

=> x = ((9/c²)+1)`

Therefore, the main answers are:a. `x = a²+1,

y = b.a-2,

z = c.a+3`b.

`(x-1)/a = (y+2)/b

= (z-3)/c`c. `((9/c²)+1, (-3b/c)+2, 0).

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Step-by-step explanation:

a=3/4

Answer:

A=30

Step-by-step explanation:

Answer:

What are we suppose to answer...

Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.

Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n

Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))

To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)

As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0

Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.

Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.

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Answer:

all of the answers are correct

Step-by-step explanation:

i took the test and got a hundred! it's a trick question

The statements included in the explanation on the horizontal line test are follows as a reference to the horizontal-line test, a statement that the function is one-to-one. and inverse is a function.

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

In order to pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places.

If this happens, then there is an inverse and the inverse itself is a function.

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The complete question is

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above.

Answer:

x=85

Step-by-step explanation:

let's angle c be x

39+56+x=180

95+x=180

x=180-95

x=85

Answer:

85 degrees

Step-by-step explanation:

In similar triangles, corresponding angles are congruent, or have the same measure.

Therefore, angle B must also be 56 degrees. In a triangle, there are 180 degrees.

A+b+c=180

39+56+c=180

c=85 degrees.

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

Here we have to implement the central limit theorem,

therefore,

the formula is Z = x- a /s where, a = mean , d= standard deviation

let us consider that 42% has myopia

then p = 0.42

size of random sample given is 442

therefore, n = 442

then, a = p = 0.42

standard deviation is

s = \(\sqrt{p(1-p)/n}\)

=\(\sqrt{0.42* 0.58/442}\)

=0.0235

portion between 0.42 +0.03 = 0.45 and 0.42 - 0.03 = 0.39

there for there are two values of X = 0.45 , X = 0.39

Z = X - a/s

Z = 0.45 - 0.42 / 0.0235

Z = 1.28 have a p-value of 0.8997

Z = X - a /s

Z = 0.39 - 0.42 / 0.0235

Z = -1.28 have a p-value of 0.1003

0.8997 - 0.1003 = 0.7994

0.7994 portion of persons with myopia will differ from the population portion by less than 3%.

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Answer:

15.24m

Step-by-step explanation:

1-foot=0,304m then 50-foot=0,304*50=15,2 m

Answer:

Step-by-step explanation:

C:1

The scale factor of triangles ΔRST and ΔUVW is 1.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔRST and ΔUVW have the same measure of the corresponding sides.

So,

RS/UV = 8/8 = 1

ST/VW = 7/7 = 1

RT/UW = 7/7 = 1

Thus,

The scale factor of ΔRST and ΔUVW is 1.

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Answer:

a) x=-1.5

b) x=2

Step-by-step explanation:

The axis of symmetry is what straight line would divide the parabola directly in half.

Answer:

A. -1.5 B.2

Step-by-step explanation:

The Axis of symmetry is the line that goes through the center of the parabola. And resembles a symmetrical shape that makes the parabola look the same on both sides.

In this case for A, -1.5 would be the answer because it is in the center of the parabola on the x-axis. For B, 2 is the axis of symmetry because it lines up in the center of the parabola.

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

Answer:

  0.92

Step-by-step explanation:

Each year, the value declines. This eliminates choices A and D.

The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...

  0.92 . . . . the third listed choice

lateral surface area of this cylinder is 1584/7 or 226.28...cm square.

The  lateral area of the cylinder is 226.2 cm² .

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.

For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:

A = 2πrh.

According to the question

radius of cylinder = 3 cm

height of cylinder = 12 cm

The lateral area of the cylinder:  

A = 2πrh

A = 2 * \(\frac{22}{7}\) * 3 * 12

A = 226.2 cm²

Hence, the  lateral area of the cylinder is 226.2 cm² .

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Answer:

X=107°

Step-by-step explanation:

180-73=107

this is to get the angle on the opposite side of the 73.

corresponding angles are similar hence angle x is 107°

Schriever budgets cucumber

Answer: Hi your questions some required details attached below is the required random number table and missing question

Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78

Step-by-step explanation:

The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The slope of the tangent line will be 3/4. Then the correct option is C.

Given that:

The center of the circle is (4, 6).

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

Then the equation of the line is given as,

(x - 4)² + (y - 6)² = r²

The slope of the tangent line at (10, -2) is calculated as,

2(x - 4) + 2(y - 6)y' = 0

y' = -(x - 4) / (y - 6)

m = -(10 - 4) / (- 2 - 6)

m = 6 / 8

m = 3 / 4

The slope of the tangent line will be 3/4. Then the correct option is C.

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If the events A and B are mutually exclusive, then they are always dependent events because the occurrence of one event precludes the occurrence of the other event.

Mutually exclusive events are events that cannot occur simultaneously. In other words, if event A occurs, then event B cannot occur and vice versa. Therefore, if A and B are mutually exclusive, the occurrence of one event provides information about the occurrence of the other event. This means that the probability of A occurring changes based on the knowledge that B did not occur, and vice versa. Therefore, A and B cannot be independent events.

In probability theory, independent events are events where the occurrence of one event does not affect the occurrence of the other event. Therefore, if two events are mutually exclusive, they cannot be independent.

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Answer: (1) C. 65 + 28H < 250

(2) 6

Step-by-step explanation:

Here is the correct question:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an

hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.

Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A. 28 + 65H < 250

B. 28 + 65H > 250

C. 65 + 28H < 250

D. 65 +28H > 250

2) What is the largest whole number of hours that Anand can afford?​

Since the initial fee charged by the plumber is $65 and an hourly rate of $28, and Anand would like to spend no more than $250. This means that the addition of the initial fee plus the hourly fee based on number of hours worked will have to be less than $250. This can be mathematically expressed as:

= 65 + 28H < 250

That means option C is the correct answer.

Option B and D are incorrect because the greater sign was used but Anand doesn't want to spend more than $250 but the options denoted that he spent more than $250 which isn't correct.

2)'The largest whole number of hours that Anand can afford goes thus:

65 + 28H < 250

28H < 250 - 65

28H < 185

H < 185/28

H < 6.6

Therefore, the largest whole number of hours that Anand can afford is 6.

Answer: The Answer is 65+28H < 250 and the largest amount of hours is 6

Step-by-step explanation:

There is sufficient proof to presume that under 77% of messages are spam.

A statistical hypothesis test  is a technique for measurable induction used to conclude whether the information within reach adequately support a specific theory. Speculation testing permits us to offer probabilistic expressions about populace boundaries.

Given the information in the inquiry;

Test size n = 500

x = 361

p₀ = 77% = 0.77

q₀ = 1 - p₀ = 1 - 0.77 = 0.23

p = x/n = 361/500 = 0.722

Speculation;

Null hypothesis H₀ : p ≥ 77% or 0.77

Alternative hypothesis  Hₐ : p ≥ 77% or 0.77

Test Measurement

z = ( p - p₀ )/√( ( p₀ × q₀ )/n )

so we substitute

z = ( 0.722 - 0.77 )/√( ( 0.77 × 0.23 )/500 )

z = - 0.048/√( 0.1771/500 )

z = - 0.048/√0.0003542

z = - 0.048/0.01882

z = - 2.55

so our p-worth will be;

p-value = p( z < - 2.55 ) {from table }

p-value = 0.0054

at 0.05 degree of importance ∝

p-value ( 0.0054 ) is not as much as importance level ∝ ( 0.05 )

Accordingly we Reject Null hypothesis H₀

Thus, there is sufficient proof to presume that under 77% of messages are spam.

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Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Answer:

5.70

Step-by-step explanation:

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