A string measures 30cm. About how many inches long is the string

the probability of  all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.

A sample of 4 different calculators is randomly selected from a group of 16 defective and 30 non defective calculators,

So, we have to find the probability that at least one of 4 calculators in the sample is defective.

total number of calculators= 46.

the probability of one calculator being non defective is 30/46.

when a second is chosen the probability of having non defective is 29/45.

the probability of no defective in the third is 28/44

and the fourth is 27/43.

the probability of non-defective in any one of the

calculators is found by multiplying the individual probability.

[tex](\frac{30}{46})(\frac{29}{45} ) (\frac{28}{44} )(\frac{27}{43} ) =0.168.[/tex]

the probability of of all calculators having no defects is 16.8%. the probability of at least one defect is 83.2%.

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Answer: $0.075

Step-by-step explanation:

$14.95 is roughly $15

and 0.5% is 1/2 of 1/100

1/100 of 15 is 0.15 and 1/2 of that is 0.075

0.7125

Step-by-step explanation:

soln

14.25*5%

=0.7125

[tex]4-6x+2-2x^{2} -4x+6x^{2}[/tex]

Which of these correctly rearranges the terms in this polynomial so like terms are next to each other?

The first step is to identify the same variable.

The equation consists of variables [tex]x, x^{2}[/tex] and constant.

Terms of variable [tex]x^{2}[/tex] are [tex]-2x^{2}[/tex] and [tex]6x^{2}[/tex]

Terms of variable [tex]x[/tex] are [tex]-6x[/tex] and [tex]-4x[/tex]

Terms of constant are [tex]4[/tex] and [tex]2[/tex]

The next step is rearranges the terms in this polynomial so like terms are next to each other

[tex]-2x^{2} +6x^{2} -6x-4x+4+2[/tex] (B)

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The equation of the line is given as y = ( -2/5 )x + 162 , where the slope of the line is m = ( -2/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( -275 , 52 )

Let the first point be represented as P ( -280 , 54 )

Now , the slope of the line is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 54 - 52 ) / ( -280 - ( -275 ) )

On simplifying the equation , we get

Slope m = 2 / ( -5 )

Slope m = -2/5

Now , the equation of line is  y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 52 = ( -2/5 ) ( x - ( -275 ) )

y - 52 = ( -2/5 )x + 110

Adding 52 on both sides of the equation , we get

y = ( -2/5 )x + 162

Hence , the equation of line is y = ( -2/5 )x + 162

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Answer:

The answer would be 52.8 because if the number behind the decimal you want to round is 5 or greater you round one number up. (Sorry if this is a confusing explanation)

When opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram. (PA = RT and PT = AR)

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

A quadrilateral is a specific type of polygon known as a parallelogram if it contains two parallel opposed sides. A parallelogram has the following qualities:

Each coordinate of the Parallelogram :

P (-3, 0) , A(3, -1) , R ( 2, -5) and T(-4, -4)

Length of PA = √((3 + 3)² + (-1 - 0)²) = √(36 + 1) = √37

Lenght of TR = √((-4 - 2)² + (-4 + 5)²) = √(36 + 1) = √37

Length of PT = √((-3 + 4)² + (0 + 4)²) = √(16 + 1) = √17

Length of AR = √((3-2)² + (-1 + 5)²) = √(16 + 1) = √17

Here, PA = RT and PT = AR ,

so when opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram.

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When opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram. (PA = RT and PT = AR)

What is meant by quadrilateral?

Each coordinate of the Parallelogram :

P (-3, 0) , A(3, -1) , R ( 2, -5) and T(-4, -4)

Length of PA = √((3 + 3)² + (-1 - 0)²) = √(36 + 1) = √37

Lenght of TR = √((-4 - 2)² + (-4 + 5)²) = √(36 + 1) = √37

Length of PT = √((-3 + 4)² + (0 + 4)²) = √(16 + 1) = √17

Length of AR = √((3-2)² + (-1 + 5)²) = √(16 + 1) = √17

Here, PA = RT and PT = AR ,

So when opposite sides of a quadrilateral is equal then the quadrilateral is Parallelogram.

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All parts of the expression 10 − 5.25m have been matched with their respective quantities below.

The given expression belongs to a certain mathematical category which is linear equations.  A linear equation is an equation that can be used to denote and solve problem sums. It is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is the form Ax + B = 0. Here, x is a variable quantity, A is a coefficient and B is constant.

Here, 10 = the amount of money that you have

5.25 = Price of each sandwich

n = No. of sandwiches

5.25 = Total cost

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Normal heartbeat of bat = 30 beats per minute

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

Bat's heart rate is about 10 beats per minute.

Normal heart rate is 300 percent of 10 beats per minute

Then normal heartbeat = (300 × 10) / 100

                              = 3 × 10

                              = 30 beats per minute.

Hence, 30 beats per minute is normal heartbeat of bat.

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The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).

The equation of diagonal AC is the equation of the line joining

(−4,6) and (4,−2)

Using the two point formula of a line, we have

           (y−6) / (x+4) = 6−(−2) / (−4−4)

                       x + y = 2

The equation of diagonal BD is the equation of the line joining

(5,6) and (−5,−2)

Using the two point formula of a line, we have

           (y−6) / (x−5) = 6−(−2) /  5−(−5)

                           5y = 4x+10

Multiply equation x + y = 10 by 5 to get 5x+5y=10

Replace 5y=4x+46 using 5x+5y=10

        5x + (4x+10) = 10

        5x + 4x +1 0 = 10

           9x + 10 = 10

               9x=0

                 x=0

Substitute x=0 in eqn(1), To get 0+y=2

                                                         y=2

The point of intersection of the diagonals of the given quadrilateral is (0,2)

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A stationary point of a function f(x) is a point where the derivative of f(x) is equal to 0. These points are called “stationary” because at these points the function is neither increasing nor decreasing.

Once we have identified the dy dx = 0 solutions, we may utilise the first derivative to ascertain the characteristics of the stationary points. Think about the equation y = x2 + 1.

By differentiating and setting the derivative to zero, we may determine that there is a stationary point at x = 0 since dy dx = 2x = 0. Recall that placing f by x and f by y equal to zero will reveal the location of a function f's stationary point.

In this situation, partial differentiation with regard to x while treating y as a constant results in three x squared plus six x. Any stationary point's nature can be ascertained by introducing its x coordinate into the second derivative of the function, f. (x). 

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We can start by using the concept of percentage concentration, which states that the percentage of alcohol in a solution is equal to the number of milliliters of alcohol in the solution divided by the number of milliliters of the solution, multiplied by 100.

Let's call the number of milliliters of Solution B that Linda uses x.

We know that:

Solution A is 50% alcohol, so it contains 50/100 = 0.5 = 1/2 of alcohol.

Solution B is 10% alcohol, so it contains 10/100 = 0.1 = 1/10 of alcohol.

The resulting mixture is a 20% alcohol solution.

Linda uses 400 milliliters of Solution A.

We can set up an equation using the percentage concentration concept and the information provided:

(400 * 1/2) + (x * 1/10) = (x + 400) * (20/100)

Solving for x:

200 + x/10 = (x + 400) * 0.2

x/10 = (x + 400) * 0.2 - 200

x/10 = x * 0.2 + 80

9x/10 = x * 0.2 + 80

9x = x*2 + 800

x = 800/8 = 100

So, Linda uses 100 milliliters of Solution B to make the resulting mixture a 20% alcohol solution.

The probability of the train from Le Havre having to wait at Garde du Nord for the train from Troyes to arrive on any given day is equal to the probability that the latter train is late.

This probability can be calculated using the following formula: P = (1-A)^B, where A is the average arrival time of the train from Troyes and B is the average time it takes for the train from Le Havre to depart after the first train is scheduled to arrive. The expected value of the probability can then be calculated by taking the average of this formula over the long run. For example, if the train from Troyes is typically 5 minutes late and the train from Le Havre leaves 10 minutes after it is due to arrive, the expected probability of a delay is (1-5/60)^(10/60) = 0.7355. Therefore, over the long run, the train from Le Havre will have to wait for the train from Troyes to arrive 73.55% of the time.

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The area of the triangle is 24 square meters.

The area of the triangle can be calculated using the formula A = 1/2bh, where b is the base and h is the height of the triangle. In this case, the base is 8 meters and the height is 6 meters. Therefore, the area of the triangle is A = 1/2bh = 1/2(8)(6) = 24 square meters. Therefore, the answer is D. 24 square meters.

To calculate the area of the triangle, first the base and the height of the triangle must be known. The base is the length of the bottom line of the triangle, and the height is the length of the line from the peak of the triangle to the base. Once the base and height of the triangle are known, the area formula A = 1/2bh can be used.

The formula can be broken down into several steps. First, the base and the height are multiplied together. In this case, it would be 8 x 6. This gives a result of 48. Then, the result is divided by 2, which gives a result of 24. Therefore, the area of the triangle is 24 square meters. When using the area formula, it is important to remember that the result must be divided by 2 in order to get the correct answer.

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Hose 1 takes 7 days.

Hose 2 takes 4 days.

That means in a single day, Hose 1 fills 1/7 of the pool and Hose 2 fills 1/4 of the pool.  So in one day, the two hoses will fill 1/7 + 1/4 of the pool.

If t is the number of days it takes to fill the pool with both hoses being used, then

   [tex]t\cdot \left(\dfrac{1}{7} + \dfrac{1}{4}\right) =1[/tex]

will tell us how many days it will take to fill 1 pool

Solving this:

    [tex]\begin{aligned} t\cdot \left(\dfrac{1}{7}\cdot\dfrac{4}{4} + \dfrac{1}{4}\cdot \dfrac{7}{7}\right) &=1 \\[0.5em]t\cdot \left(\dfrac{4}{28} + \dfrac{7}{28}\right) &=1 \\[0.5em]t\cdot \left(\dfrac{11}{28} \right) &=1 \\[0.5em]t &=\dfrac{28}{11} \\[0.5em]\end{aligned}[/tex]

It'll take 28/11 days, or 2 and 6/11 days, or about 2.54 days.

There are four types of social norms that can help inform people about behavior that is considered acceptable: folkways, mores, taboos, and law.

Social values are the focus of sociology. Cultural norms known as social values describe the overall well-being thought desirable for a structured social existence. These presumptions concern what is morally correct and significant for society. They provide social structures and behavior its ultimate meaning and legitimacy. They are ideals or abstract feelings. "Equality of opportunity" is a prime illustration of social value. It is frequently regarded as a desirable end in and of itself.

When several people interact, a set of norms emerges that governs their interactions and behaviors. Social norms are these standards of group behavior.

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The approximation of the area under the curve f(x) = [tex]2x^2 + 6[/tex] from x = 2 to x = 4 using left rectangles and a step size of Δx = 0.5 is 60.5 square units to one decimal place.

To approximate the area under the curve f(x) = [tex]2x^2 + 6[/tex] between x = 2 and x = 4 using left rectangles and a step size of Δx = 0.5, we have to divide the interval [2, 4] into a number of sub-intervals of width 0.5 and evaluate the function at the left endpoint of each sub-interval.

First find the number of steps: (4-2)/0.5 = 4

The x-coordinates for the left endpoints of each sub-interval are: 2, 2.5, 3, 3.5, 4

We evaluate the function f(x) = [tex]2x^2 + 6[/tex] at each of these left endpoints and multiply the result by the width of the sub-interval (0.5) to find the area of each rectangle.

For [tex]x = 2[/tex], [tex]f(x) = 2(2)^2 + 6 = 14[/tex]

Area = 0.5 * 14 = 7

For [tex]x = 2.5, f(x) = 2(2.5)^2 + 6 = 19.5[/tex]

Area = 0.5 * 19.5 = 9.75

For [tex]x = 3, f(x) = 2(3)^2 + 6 = 24[/tex]

Area = 0.5 * 24 = 12

For [tex]x = 3.5, f(x) = 2(3.5)^2 + 6 = 29.5[/tex]

Area = 0.5 * 29.5 = 14.75

For [tex]x = 4, f(x) = 2(4)^2 + 6 = 34[/tex]

Area = 0.5 * 34 = 17

The sum of the areas of these rectangles is 7 + 9.75 + 12 + 14.75 + 17 = 60.5

Therefore, the approximation of the area under the curve f(x) = [tex]2x^2 + 6[/tex] from x = 2 to x = 4 using left rectangles and a step size of Δx = 0.5 is 60.5 square units to one decimal place.

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There were approximately 5,184 graduates in 2008.

The cubic model is a useful tool for estimating the number of graduates in a given year, as it takes into account the trend of the data points. This allows us to make an educated guess about the number of graduates in a given year, despite not having data points for that year.The cubic model for the number of graduates from an online university since 2002 can be expressed as y = -7.8x^3 + 74.4x^2 + 437x - 9,150. Here, x is the number of years since 2002, and y is the number of graduates in that year. To estimate the number of graduates in 2008, we can plug in x = 6 into the equation, giving us y = 5,184. That is, there were approximately 5,184 graduates in 2008.

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The solution to the differential equation is given by R = ±1/√(C-a*x), where C is a constant of integration.

To solve this differential equation, we first separate the variables and integrate the equation:

dR/dx = a(R^2+16)

∫ dR/dx  = ∫a(R^2+16)dx

R = ±1/√(C-a*x) + K

where K is an arbitrary constant.

To find the constant of integration, we use the initial condition. We plug in the initial values for x and R to find the constant of integration. For example, if x = 0 and R = 2, then we get

2 = ±1/√(C-0) + K

2 = ±1/√C + K

K = 2±1/√C

Therefore, the solution to the differential equation is given by R = ±1/√(C-a*x) where C is the constant of integration.

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Answer:

14( x - 3)

Step-by-step explanation:

1/2x-6 and 2x/7x-21.

simplify (common factors)

[tex] \frac{1}{2(x - 3)},\frac{2x}{7(x - 3)} [/tex]

Find the LCM (smallest positive number that all of the numbers divide into evenly) of the denominators of those values

[tex]2(x−3),7(x−3) [/tex]

Now we get

[tex]14( x - 3)[/tex]

- if you need any further explanation let me know <3

Answer:

60.26°

i have to write more so yea but do you have the answer to 83d and 91c from that chapter

Answer:

d. 9x^2 + 25x + 14

Step-by-step explanation:

Formula of area of a rectangle is L * W;

L being length

W being width

x + 2 is our W

9x + 7 is our L, thus;

(x+2)(9x+7)

[9x^2 + 25x + 14]

The units of distance and speed should match, So kilometers per hour (kph) and miles per hour (mph) are the correct units.

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3.7-3.4-2n+8 = -0.3-2n+8 = 8-2n-0.3 = 8-0.3-2n = 7.7-2n

So, 3.7-3.4-2n+8 = 7.7-2n

Answer:

If 55% of people brought their own skates, 45% did not.

Since 100 - 55 = 45.

45% of 200 = 90

The answer is: 90 people didn't bring their skates.

Answer:

y=-5x+b

Steps:

1. Put slope into y=mx+b formula

2. Plug in point: -8=-5(2)+b

3. Solve for b: 2=b

Answer:

120/20=6 pearl collected 6

Step-by-step explanation:

If Tate collected 20 times as many rare coins as Pearl, we can set up a proportion to find out how many coins Pearl collected. Let x be the number of rare coins Pearl collected. Then we have:

x / 120 = 1 / 20

To solve for x, we can cross-multiply:

20x = 120

Dividing both sides by 20, we get:

x = 6

Therefore, Pearl collected 6 rare coins.

The swimming pool with a volume of 53.7 kL, will be completely filled with 53,700 cubic decimeter

The problem seeks conversion from liters to cubic decimeters

From the conversion table 1 liter is equivalent to 1 cubic decimeter

Because of this, 1 kL will be equal to 1 000 cubic decimeter

Hence if 1 kL is 1 000 cubic decimeter then 53.7 kL is equal to

= 53.7 * 1000

= 53,700 cubic decimeter

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Formulas A and B are not compared to the original formula, which makes this study poorly structured.

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The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be 16 3 / 7.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The value of the fraction 24(1/2 + 2/7) divided by 1 4/8 will be:

= 24(1/2 + 2/7) ÷ 1 4/8:

= 24 9/14 ÷ 1 1/2

= 345 / 14 × 2/3

= 690 / 42

= 16 3 / 7

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Complete question

24(1/2 + 2/7) divided by 1 4/8 will be: