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The probability that none of the five identical pieces of equipment will fail during a year is approximately 59.049%, calculated using the statistical independence of each piece's probability of not failing, which is 0.9, raised to the power of 5.

The question is asking for the probability that none of the five pieces of equipment fails within a year when there is a 1 in 10 chance of failure for each piece of equipment. To calculate this, we use the principle of statistical independence. If the chance that one piece of equipment does not fail is 9 in 10 (or 0.9), then the probability that all five do not fail is 0.9 raised to the power of 5.

Mathematically, this is calculated as:

[tex](0.9)^5[/tex]= 0.9 * 0.9 * 0.9 * 0.9 * 0.9

Performing the multiplication, the probability that none of the five pieces fail during a year is approximately 0.59049.

In conclusion, there is a 59.049% chance that none of the identical pieces of equipment will fail during a year, assuming that the failures are statistically independent events.

The number of rows in the auditorium is 45, and each row has 59 seats.

This problem can actually be solved using Algebra. If we let 'x' represent the number of rows in the auditorium, then the number of seats in each row would be x + 14 (since the number of seats in each row exceeds the number of rows by 14). Since the total number of seats is 1320, we can now set up and solve an equation: x(x + 14) = 1320.

Solving the equation, we get [tex]x^2[/tex] + 14x - 1320 = 0. This can be factored to (x - 45)(x + 29) = 0. The positive solution is x = 45. Therefore, there are 45 rows in the auditorium.

Substituting x = 45 back to our original equation x + 14, we find out that there are 45 + 14 = 59 seats in each row.

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Answer:

The two triangles are similar by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Remember that

The sum of the internal angles of a triangle must be equal to [tex]180\°[/tex]

so

In the triangle CDE

Find the measure of angle E

[tex]m<C+m<D+m<E=180\°[/tex]

substitute the values and solve for m<E

[tex]60\°+53\°+m<E=180\°[/tex]

[tex]m<E=180\°-(60\°+53\°)=67\°[/tex]

The measures of internal angles triangle CDE are [tex]60\°-53\°-67\°[/tex]

In the triangle FGH

Find the measure of angle G

[tex]m<F+m<G+m<H=180\°[/tex]

substitute the values and solve for m<G

[tex]60\°+m<G+67\°=180\°[/tex]

[tex]m<G=180\°-(60\°+67\°)=53\°[/tex]

The measures of internal angles triangle FGH are [tex]60\°-53\°-67\°[/tex]

therefore

The two triangles are similar by AAA

The number whose 140% is 364 is 260.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number = M

140% of M = 364.

140/100 x M = 364

Solve for M.

M = 364 x 100 / 140

M = 260

Thus,

140% of 260 is 509.6.

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Final answer:

The linear equation describes the algebraic relationship between two variables in a paired sample data set, with the slope and y-intercept being key components of this equation.

Explanation:

Given a collection of paired sample data, the linear equation algebraically describes the relationship between the two variables, x and y. The most fundamental representation of a linear association is through a linear equation, which graphically manifests as a straight line in a scatter plot. Two commonly used forms of linear equations are y = mx + b and y = a + bx. The latter is frequently used in statistical contexts to differentiate from the algebraic context.

In these equations, m or b (when used as a coefficient) is known as the slope, indicating the rate of change or how much y changes as x changes. The y-intercept represented by a is the point at which the line crosses the y-axis, typically where x equals zero. A linear relationship between two variables is confirmed when a scatter plot of the pair shows points that approximate a straight line.

Answer: The average rate of change from x = 0 to x = 20 is decreasing

✔ slower than

the average rate of change from x = 0 to x = 15.

Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?

-3.9

Step-by-step explanation:

So, the two answers are: Slower than, and -3.9

Answer: with the problem you can see that

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of 3

Answer:

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of

Answer:

C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.

Step-by-step explanation:

The resulting graph of the rational function is the Graph at the top right graph 2.

To depict the rational function f(x) =  2/(x - 1) + 3, we must consider its characteristics. The function has a vertical asymptote at x = 1 because the function is undefined at that point, and it has a horizontal asymptote at y = 3 due to the behavior of the function as x approaches infinity. The graph will approach these asymptotes but never cross them.

For values of x greater than 1, the function will decrease towards the horizontal asymptote because the (x - 1) in the denominator increases, which causes the value of f(x) to decrease.

However, because of the '+3' term in the function, the curve will approach y = 3 as x goes to infinity.

To graph this function, plot several points where x is not equal to 1, then draw the curve that passes through these points while approaching the respective asymptotes.

The portions of the graph should fall above the horizontal line y = 3 for x < 1 and approach y = 3 from below for x > 1.

Therefore, the resulting graph of the rational function is the Graph at the top right graph 2.

The probable question may be:

Which graph represent the rational function f(x)=2/x-1+3

The binomials below are a factor of this trinomial that will be x + 2. Option A  is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that, the expression is, x² - 3x - 10

Binomials in algebra are two-term expressions joined by a plus or minus sign, such as ax+b. While the second term might or might not, the first term always contains a variable.

A binomial can be solved or simplified for further work by factoring, which is the process of looking for simpler terms that, when multiplied together, produce the original binomial expression.

Thus, the binomials below are a factor of this trinomial that will be x + 2. Option A  is correct.

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Answer:

"  A DMP allows you to deposit a set amount of money with a credit counseling organization each month, which is then strategically dispersed to your various creditors "

" DMPs are designed to help consumers work off their debt as quickly as possible by leaving these decisions largely to credit counseling professionals "

Before sending monthly payments to the organization handling your DMP, confirm with your creditors that they have in fact accepted the plan.

Before you make any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that they have accepted the plan.

A Debt Management Plan is a laid-out framework for settling debts that is coordinated by a credit counseling organization. A certain amount of money is deposited with these organizations that help the debtor to offset his bills in a strategic manner.

So, before making any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that the plan for repayment is acceptable by them.

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Answer: (x4-81) I searched it up..

Step-by-step explanation:

B- $47.80 for apex that's what i got.

The full price of the purse is C) $60.85.

The price at which the purse is bought = $25

The price paid = $35.85

To find the full price of the purse, we need to add the discount amount to the price Veronica paid.

Since she got $25 off, the discount amount is $25.

Therefore, the full price of the purse is

= $35.85 + $25

= $60.85.

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Answer:

Its 6 feet

Step-by-step explanation:

Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

Answer:

B) Corresponding

Step-by-step explanation:

Hello! The answer to this question is that <2 and <3 are corresponding angles.  If you know the definition of corresponding angles and how they appear on a figure such as this, you should have no problem answering these problems in the future. Hope this comes to your help!

General Idea:

If A and B are independent, then the probability that events A and B both occur is:

[tex] p(A\; and\; B) = p(A) \times p(B). [/tex]

In other words, the probability of A and B both occurring is the product of the probability of A and the probability of B

Applying the concept:

Five cards are drawn from a standard deck of cards. Each card is replaced after being drawn.

There are four 3's in a deck of card, four 2's in a deck of card. In a deck of card there are 52, so...

[tex] \\[tex] p(3\; and\; 3\; and\; 3 \; and \; 2 \; and\; 2)=\frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \\ \\ Multiply \; numerator \; with \; numerator \; and \; denominator \; with \; denominator\\ \\ \frac{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}{52 \cdot 52 \cdot 52 \cdot 52 \cdot 52} \\ \\ Cancel \; Common\; Factor\\ \\ \frac{1 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{13 \cdot 13 \cdot 13 \cdot 13 \cdot 13} =\frac{1}{13^5} =\frac{1}{371293} [/tex] \; =\; p(3) \times \; p(3) \times \; p(3) \times \; p(2) \times p(2) [/tex]

Answer: [tex]\dfrac{-5}{2}[/tex]

Step-by-step explanation:

We know that equation in intercept form is given by :-

[tex]y=mx+c[/tex] , where m is the slope of the line {Coefficient of x}

The given equation of a line : [tex]5x+2y=6[/tex]

First rewrite the given equation in intercept form , we get

[tex]2y=6-5x\\\\\Rightarrow\ y=\dfrac{1}{2}(6-5x)\\\\\Rightarrow\ y=\dfrac{-5}{2}x+\dfrac{6}{2}\\\\\Rightarrow\ y=\dfrac{-5}{2}x+3[/tex]

Comparing to the general intercept form , we have , the slope of the line = [tex]\dfrac{-5}{2}[/tex]

Since the slopes of two parallel lines is equal.

Therefore, the  slope of a parallel line to [tex]5x+2y=6[/tex] : [tex]\dfrac{-5}{2}[/tex]

√9 = 3

3 is a real number , a whole number , a rational number , an integer and a natural number ,

So last option is correct

Set of all natural numbers , set of all whole numbers , set of all integers, set of all rational numbers , set of all real numbers.

Answer:

Hence, the length of the chord joining two perpendicular radii is:

6√2 inches.

Step-by-step explanation:

Let r denote the radius of circle.

i.e. r=6 inches.

Let AB be the chord that connects two perpendicular radii i.e. OA and OB whose lengths are given to be 6 inches.

We can apply pythagorean theorem to find the length of the chord.

[tex]AB^2=OA^2+OB^2\\\\AB^2=6^2+6^2\\\\AB^2=36+36\\\\AB^2=72\\\\AB=\sqrt{72}\\\\AB=6\sqrt{2}[/tex].

Hence, the length of a chord connecting two perpendicular radii is:

6√2 inches.