oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long what is the percent error in this situation? , please tell me how you got the answer. Will give brainliest

Answer: strong negative

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = Number of adults who use their smartphones

The above situation can be represented through the binomial distribution;

\(P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......\)

where, n = number of trials (samples) taken = 15 adult smartphones

           r = number of success = at least 4

           p = probability of success which in our question is the % of adults

                 who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X \(\geq\) 4)

P(X \(\geq\) 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= \(1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}\)

= \(1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})\)

= 0.1773

Answer:

c) x > -3 or x ≤ 2

Step-by-step explanation:

We are asked to solve this algebraic expression

-9 < 4x+3 ≤ 11.

We have two parts:

a) -9 < 4x+3

b) 4x+3 ≤ 11

For

a) -9 < 4x+3

Subtract 3 from both sides

-9 - 3 < 4x + 3 -3

-12 < 4x

-12/4 < x

-3 < x

x > -3

b) 4x+3 ≤ 11

Subtract 3 from both sides

4x + 3 -3 ≤ 11 - 3

4x ≤ 8

x ≤ 8/4

x ≤ 2

Hence, our answer is

x > -3 or x ≤ 2

Based on the fact that every 2 inches represented 1 foot, the graph that best represents the relationship is Graph C.

If every 2 inches of the model is 1 foot on the statue, then the following values of the model and the statue should be correct:

From the given graphs, the only graph that has these figures intersecting is graph C which means that it best shows the relationship.

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Answer:

C. 2 1/10

Step-by-step explanation:

15 7/10-13 3/5= 15 7/10 - 13 6/10=

2 1/10

3.63/34= 0.1067647058823...

that means each oz of soda is 10.7 cents

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

i dont know

Step-by-step explanation:

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer: 30 inches

Step-by-step explanation:

20/8 = x/12

20(12) = 8x

240 = 8x = 30

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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In the exponential decay, A) r = -0.0839 , B) r = -8.39% , C) Value=$11,800.

What is exponential decay?

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

To find the annual rate of change between 1992 and 2006, we can use the formula:

r = \((V_2/V_1)^{1/n}-1\)

where V1 is the initial value, V2 is the final value, and n is the number of years between the two values.

=>r = -0.0839

Therefore, the rate of change between 1992 and 2006 is -0.0839.

To express the rate of change in percentage form, we can multiply the result from part A by 100:

=>r = -0.0839 x 100

=> r = -8.39%

Therefore, the rate of change between 1992 and 2006 is a decrease of 8.39%.

To find the value of the car in the year 2009, we can assume that the value continues to drop at the same percentage rate as calculated in part A.

From 2006 to 2009, there are 3 years. So, using the formula for exponential decay, we have:

where V0 is the value in 2006, r is the rate of decrease, and n is the number of years between 2006 and 2009.

=>V = 11792.51

Therefore, the value of the car in the year 2009 would be approximately $11,800 (rounded to the nearest $50).

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6 red face cards

->in favour:

6/52

= 3/26

-> against:

52-6= 46

46/52

=23/26

The value of period of function is,

Period = 2

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The graph of function is shown in figure.

Since, The distance between the repetition of any function is called the period of the function.

And, For a trigonometric function, the length of one complete cycle is called a period.

Hence, By definition of period, we get;

The value of period of function is,

Period = 3 - 1

Period = 2

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The graph of the piecewise function can be seen in the image attached below where (x+2)² terminates at x = -1,  |x - 1| between the interval of x = -1 to x = 1, and  \(-\sqrt[3]{x}\) from +x-axis to infinity \(\infty\)

A piecewise function is a type of function that has different expressions or formulas for different parts or intervals of its domain. This means that the formula that defines the function changes depending on which part of the domain we are looking at.

Now, to graph the piecewise function, we need to start by identifying the different intervals on which the function is defined and the corresponding expressions that define the function on each interval.

If we have a piecewise function f(x) defined as:

The graph of the piecewise function can be seen in the image attached below.

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Answer:

12 and 53

Step-by-step explanation:

let 'x' = one number

let 'y' = other number

System of Equations:

x + y = 65

x - y = 41

Substitution Method:

x = 41 + y

41 + y + y = 65

2y = 24

y = 12

x + 12 = 65

x  = 53

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Though the difference is not numerically significant, it is important to unitary method keep in mind that there might still be a real difference that this group does not account for.

The unit method is a strategy for handling issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply stated, the unit method is used to extract a unique unit number from a multiple that is given. For example, 40 pens would cost 400 rupees, which is equal to the expense of one pen. This procedure might follow a conventional procedure. a distinct nation. anything with a distinct character. Its adjoint and inverse are identical in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.

The disparity in reaction latencies between conventional incandescent lights and LED lights has a 99% confidence range of (-30.83, 271.17) milliseconds. We cannot definitively determine whether the average difference is positive or negative because the interval includes both positive and negative numbers.

The best conclusion is option 5, which states that there isn't much of a difference between the two kinds of lighting's typical response rates. Though the difference is not numerically significant, it is important to keep in mind that there might still be a real difference that this group does not account for.

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Answer:

Step-by-step explanation:

14x2=28

50 divided by 2 = 25 pages

14pages=28mins

page=2mins

so

pages =50/2

=25

The area of shaded region is calculated as: 24π m²

The length of arc ADB is calculated as: 8π m.

Recall the two formulas below:

Area of shaded region = ∅/360 * πr²

Length of arc = ∅/360 * 2πr.

Given the following:

∅ = 360 - 120 = 240°

radius (r) = 6 m

Plug in the values:

Area of shaded region = 240/360 * π * 6² = 24π m²

Length of arc = 240/360 * 2 * π * 6

Length of arc = 8π m

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So on solving the provided question, we can say that by unitary method saving = 25 - 7.3333333336 = $17.6666666664

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

by unitary method,

12 pack of can, costs = $2

cost of 3 12 pack can - $2 *3 = $6

12 pack can = 12 days

1 can = $2/12 = $0.1666666667

8 can = $0.1666666667*8 = $1.3333333336

original cost of 1 can = $1.25

ordinal cost of 20 cans = $1.25*20 = 25

sale cost of 20 cans = $1.3333333336 +  $6 = 7.3333333336

saving = 25 - 7.3333333336 = $17.6666666664

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

%0.00032

Step-by-step explanation:

.2x.2x.2x.2x.2x

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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