among 6 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the probability that at least one does not function properly.

Answer:

(0,2)

Step-by-step explanation:

x  = [tex]\frac{2-2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0  We are finding the average of the x values (2 and -2)

y = [tex]\frac{-5+9}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2  we are finding the average of the y values (-5 and 9)

The relation between x and y such that the point (x, y) is equidistant from point(2, -5) and(-2, 9) = 2x + 7y = -14

Points (2, -5) and (-2, 9).

let (x, y) be A

Let (2, -5) = (-2, 9) = B

Ax = Bx (length)

Squaring on both sides

Ax² = Bx²

By distance formula

(x - 2)² + (y +5)² = (x + 2)² + (y - 9)²

x² - 4x + 4 + y² +10y + 25 = x² + 4x + 4 + y² - 18y + 81

8x + 28y = -56

by multiplying both sides by 4

2x + 7y = -14

This is the relationship between the points (x, y) which is equidistant to A and B.

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Using the binomial distribution, it is found that:

The probability of no correct answers is 0.1678 = 16.78%.

For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:

n = 8, p = 0.2.

The probability of no correct answers is P(X = 0), hence:

P(X = 0) = (0.8)^8 = 0.1678.

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Step-by-step explanation:

We only combine like terms when the like terms are alike

To combine like terms, we have to add the coefficients and keep the variables the same. We add like terms to make one term. Example: 7x+3x both are like terms we can combine together and write 10x.

When a family's ratio of income to poverty measurement is 1.05 , then the family is considered by the census bureau as rich.

The "economy food plan," which is based on the U.S. Department of Agriculture, is used as the basis for an absolute poverty indicator in the country. The World Bank also uses an absolute definition of poverty. Extreme poverty is defined as surviving on less than $1.90 USD a day.

A ratio of less than 1 generally indicates that the income is below the poverty line. When the ratio is 1, income and poverty level are equal, and when the ratio is larger than 1, income is greater than poverty level. In this case, the family is rich.

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a trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 10 m long. then the height of the water change when the water is 4 m deep is 1/8 m/min

The depth of the water is 4/5 of the depth of the trough, so the width of the surface will be 4/5 of the width of the trough:

 4/5 × 2 m = 8/5 m

Then the surface area of the water is ...

 Area = LW = (10 m)(8/5 m) = 16 m²

The rate of change of height multiplied by the area gives the rate of change of volume:

 2 m³/min = (16 m²)(h')

 h' = (2 m³/min)/(16m²) = 1/8 m/min

Hence , the height of the water change when the water is 4 m deep is 1/8 m/min

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So basically 130+90=220 and 6+8=14. And 220+14=234.

Answer:

4 x 10^7 i.e. 40000000

Step-by-step explanation:

(4x10^7) is obtained by multiplying (5x10^2) by (8x10^4).

The equation can be solved by multiplying the coefficients (5 and 8) first, adding the exponents (2 and 4), and writing the result in scientific notation:

(5 x 8) x 10^(2 + 4) = 40 x 10^6 = 4 x 10^7.

Answer:

m<2= 2x+6

Step-by-step explanation:

so you have +6 or six more than 2x or twice than m<1 so therefore m<2= 2x+6

Answer:4/3-2

Step-by-step explanation:

Answer:

11.1x²

Step-by-step explanation:

The probability of selecting two lemon filled donuts in a row is 7/92.

Probability is used to determine the odds that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. If it is certain that the event would happen, the probability value would be 1. If it is certain that the event would not happen, the probability value is 0.

The donuts are picked without replacement because the donut are eaten as they are picked.

Probability = (number of lemon filled donuts / total number of donuts) x [(number of lemon filled donuts / total number of donuts) - 1]

(7/24) x (6/23) = 7/92

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Answer:

p = 11

Step-by-step explanation:

This Question tests on the concept of Angle Properties.

Given from the diagram above, we can form up a equation:

4p + 7 + 90 + 3p + 6 = 180 (Sum of Angles in a Triangle)

Now we can solve for p from the equation.

[tex]4p + 7 + 90 + 3p + 6 = 180 \\ 7p + 103 = 180 \\ 7p = 180 - 103 \\ 7p = 77 \\ p = \frac{77}{7} = 11[/tex]

The value of the expression is [tex]-2x^2[/tex]-8x + 6.

Given expression:-

[tex](2x^2-5x+4)-(4x^2+3x-2)[/tex]

We have to find the value of the given expression.

We know that, while subtracting quadrating equations, we subtract like terms from like terms.

Like terms

Like terms are those that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only we can combine like terms.

For example : While adding (5x + 3) and (4x - 5), we will add 5x to 4x and 3 to -4 to get the answer that is 9x - 1.

Hence, we can write,

([tex]2x^2-4x^2[/tex]) + (-5x -3x) + (4 -(-2)) = [tex]-2x^2[/tex] -8x + 6.

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Considering the definition of a line, x-intercept and y-intercept, the  x-intercept and y-intercept are (3, 0) and (0,6) respectively.

A linear equation o line can be expressed in the form y = mx + b

where

The point [y-intercept] is where the line crosses the y-axis, and occurs when x = 0.

The point [x-intercept] is that value of x for which the expression is equal to 0 and the line crosses the x-axis.

In this case, the line is 10x +5y=30. Expressed in the form y = mx + b, you get:

5y= 30 - 10x

y= (-10x + 30)÷5

y= -10/5x + 30/5

y= -2x +6

where:

The point [y-intercept] is represented by the value of the y-intercept b. So the point [y-intercept] is (0,6).

Being the point [intersection x] that value of x for which the expression is equal to 0 or y is equal to 0, in this case it is calculated as:

0= -2x + 6

-6= -2x

(-6)÷ (-2)= x

3=x

Finally, the point [x-intercept] is (3,0).

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Answer:

Step-by-step explanation:

9 divided by 1557

(Tell me if you mean 1557 divided by 9 lol the wording is strange :] )

See screenshot!

The answers are subtraction, subtraction, and addition property of equality

There are 9 properties of equality, which are addition, subtraction, multiplication, division, distributive, substitution, reflexive, symmetric, and transitive. In this case, we are using the first 2. In algebra, whatever you do to one side has to be done to the other, in the case of the first problem x is being subtracted on both sides, which represents the definition of the subtraction property (If a = b, then a – c = b – c, a is the one side of the equation, b is the other side, and c is the subtraction done on both sides). The first one is the subtraction property of equality, then, and if we look at problem 2, the same thing is done (apart from that it is done with a number, which doesn't affect the property), so it is also the subtraction property.

Now the last problem seems to do the opposite, it seems to be adding instead, in this case, adding 1 on both sides. This follows the definition of the addition property of equality (If a = b, then a + c = b + c) since it is adding c (1) on both sides. So the last problem is the addition property of equality.

Answer and Explanation:

y = 5x is a line with a constant of proportionality of 5 (it goes through the origin). It goes through quadrants I and III.

See the attached image for a graph.

(a) AB, BC, CD, and DA are, respectively, and long.

(b) AB, BC, CD, and DA have slopes of 0, 0, and 2, respectively.

(c) AC and BD have lengths of 8 and 72, respectively.

(d) AC and BD have slopes of 1 and 1, respectively.

A quadrilateral is a polygon having four sides, four angles, and four vertices.

There is a quadrilateral called ABCD.

The quadrilateral's vertices are A(3,5), B(7,7), C(5,3), and D. (1,1).

The side AB measures [(3-7)2 + (5-7)2] = 20.

The side BC measures [(7-5)2 + (7-3)2]. =√20 .

The side CD measures [(5-1)2 + (3-1)2] in length. = √20.

The side DA measures [(1-3)2 + (1-5)2] = 20 in length.

The diagonal AC measures [(3-5)2 + (5-3)2] = 8 in length.

The diagonal BD is [(7-1)2 + (7-1)2] in length. =√72 .

The slope of side AB is equal to 1/2 (7-5)/(7-3)

The slope of the side BC is equal to zero (7-3)/(7-3)

The side CD has a slope of (3-1)/(5-1) = 1/2.

DA's side has a slope of (5-1)/(3-1) = 2.

The sides AD and BC are parallel to one another and have the same length.

Equal in length and parallel to one another are sides AB and CD.

Each side is parallel to the side next to it.

As a result, we draw the conclusion that ABCD is a quadrilateral.

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Answer: 68.75

Step-by-step explanation: I did the math myself so it may not be correct, but it's at least very close.

Answer:

the correct answer is D:68.75

Answer:

22x + 4y + 13xy

Step-by-step explanation:

First, you add the like terms

(the terms that contain the same variable which is raised to the same power)

6x + 5x + 11x= 22x

2y + 2y = 4y

13xy

Then since nothing else shares the like terms you leave it as 22x + 4y + 13xy

Equation represents a line which is parallel to the line

y = 1/2x +3 with (2,5)

Since you are looking for an equation that is parallel to a line, the slope is the same: m = 1/2

Use Point-Slope equation [y-y1 = m(x-x1)]

with the given point (2,5): y-

5=1/2(x-2)

Distribute the 1/2: y-5=1/2x-1

Move the 5 to the other side to put it in y=mx+b form: y=1/2x-1+5

Answer:

y=1/2x+4

A parallel equation can be located in what way?

In the absence of an intersection, two lines are said to be parallel. Each line has the same slope. In the event that m1=m2, f(x)=m1x+b1 and g(x)=m2x+b2 are parallel. If m 1 = m 2, then f (x) = m 1 x + b1 and g (x) = m 2 x + b2 are parallel.

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Answer:

Similarity: Both are odd numbers

differences:  3 > 1  

Similarity: Both are Consecutive natural numbers

differences: 3 is an odd number and 4 is an even number

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With the two solutions, the quadratic equation is x^2 - 11x + 10 = 0

From the question, we have:

Number of solutions = 2

Variable = x

Where the solutions are

1 and 10

This means that

x = 1 and x = 10

Rewrite the above solutions as

x - 1 = 0 and x - 10 = 0

Multiply the above equations

(x - 1) * (x - 10) = 0

This gives

x^2 - 11x + 10 = 0

Hence, the quadratic equation in standard form is x^2 - 11x + 10 = 0

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The value of x is 18 and the value of ∠A (interior angle) is 73°.

According to the given figure,

We have:

∠A = 6x-35°

∠B = 3x+53°

The two parallel lines have been cut by another line.

(Note that when a line divides two parallel lines then the sum of the interior angles on the same side is 180° and the alternate interior angles are equal to each other.)

So, we will have the following expression:

∠A + ∠B = 180°

(6x-35+3x+53)° = 180°

9x+18 = 180

9x = 180-18

9x = 162

x = 162/9

x = 18

Now, putting the value of x in ∠A,

∠A = 6x-35°

∠A = (6*18-35)°

∠A = (108-35)°

∠A = 73°

Hence, the value of x is 18 and the measurement of ∠A is 73°.

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Using proportions, it is found that Elizabeth should order 42 mugs and 18 t-shirts.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the unit rates, then operations such as multiplication or division are used to find the equivalent amounts.

In the context of this problem, we have to consider that:

Hence the number of mugs that she has to order is found as follows:

256/6 = 42 (rounded down, as the remainder means that the last guest to receive a mug is the 252th guest).

The number of t-shirts that she has to order is given as follows:

256/14 = 18 (also rounded down, following the same logic as the number of mugs).

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The nth term of the arithmetic sequence when the numbers given are 7, 4, 1, -2 is 6 - 3n.

It should be noted that an arithmetic sequence has a common difference. In this case, the values that are given include 7, 4, 1, -2.

First term = 7

The common difference between the numbers include:

= Second term - First term

= 4 - 7

= -3

The nth term will be:

= a + (n - 1)d

where a = 7

d = -3

= a + (n - 1)d

= 7 + (n - 1) -3

= 7 -3n - 1

= 6 - 3n

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Answer: linear equation

Step-by-step explanation:

because x is not squared