When estimating f'(2) for f(x)=x using the formula
f'(x) ≃ [f(x+h)-f(x)]/h and h=0.1.
The truncation error is: Select one:
a. 0.1
b.0.2
c. 0
d. 1

1)

a) 1/20

b) 19/20

c) 12/20

d) not sure

e) 8/20

2)

a) 3/6

b) 2/6

c) not sure

d) 3/6

Please mark brainlist took 5 minutes to do

The value that has 25% of the population above it is approximately 64.1.

To find the value that has 25% of the population above it, we can use the Z-score formula and the standard normal distribution.

The Z-score formula is given by:

Z = (X - µ) / σ

Where:

Z is the Z-score,

X is the value we want to find,

µ is the population mean, and

σ is the population standard deviation.

To find the value with 25% of the population above it, we need to find the Z-score corresponding to the 75th percentile. The 75th percentile corresponds to a cumulative probability of 0.75.

Using a Z-table or a Z-score calculator, we can find the Z-score that corresponds to a cumulative probability of 0.75, which is approximately 0.6745.

Now, we can rearrange the Z-score formula to solve for X:

Z = (X - µ) / σ

Rearranging, we have:

X = Z * σ + µ

Substituting the values we have:

X = 0.6745 * 19 + 51

X ≈ 13.1295 + 51

X ≈ 64.13

Rounded to at least one decimal place, the value that has 25% of the population above it is approximately 64.1.

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Answer:

\(x = \frac{2(A_T) }{(AB) + (AC) + (BC)} \)

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

she should use 2 by 6

Step-by-step explanation:

2 divided by 6 will give 0.3 in 1d.p

Answer:(5)(10)

Step-by-step explanation:

Answer:

(5)(10)

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

  3

(-----)*2 = 3/4

  8

Answer:

3/4

Step-by-step explanation:

1) multiply numerator x numerator

3 x 2 = 6

2) mantain the same denominator

6/8

3) divide numerator and denominator by 2

3/4

Answer:

Option C II and III  is the right choice.

Step-by-step explanation:

The statement or statements that accurately represent possible effects of a long-term credit purchase on your credit score are :

II. Making only minimum payments for an extended time can hurt your score. (prolonged debt accumulation can lower credit scores)

III. Regularly paying off a credit balance can boost your score

please mark me brainliest i need one more to become and expert!!

Answer:

option c

Step-by-step explanation:

just took the test

The statement is true.

In the case of a fair die, where all six faces are equally likely to occur, the face value of the throw (denoted as "x") follows a discrete uniform distribution.

In a discrete uniform distribution, each possible outcome has an equal probability of occurring. In this case, the face values 1, 2, 3, 4, 5, and 6 all have an equal probability of being the result of a fair die roll.

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Answer:

-

Step-by-step explanation:

The solution of the system of equation is , x= -4 & y= -8.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given graph we get,

one line is passing through the points (0,10) , ( 4,28)

so, the equation of the line can be,

4y= 18x + 40

and, second line is passing through the points (0,8) , (1,12)

so, the equation of the line can be,

y= 4x+8

solving the equations we get,

x= -4

y= -8

Hence, The solution of the system of equation is , x= -4 & y= -8.

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Answer:

How do you except me to know

Step-by-step explanation:

Bruh I came here to find the Awnser not to actually work for it

Answer:

The temperature of the oven after 6 minutes is 125 degrees and after 10 minutes its 165 degrees.

Step-by-step explanation:

10 x 6 = 60

60+65=125

10 x 10 = 100

100+65=165

The solutions to the quadratic equation x² + 6x - 3 = 0, obtained by completing the square, are:

x = -3 + √12

x = -3 - √12

To solve the quadratic equation x² + 6x - 3 = 0 by completing the square

Move the constant term to the other side of the equation:

x² + 6x = 3

Take half of the coefficient of the x term (which is 6) and square it:

(6/2)² = 3² = 9

Add the result from step 2 to both sides of the equation:

x² + 6x + 9 = 3 + 9

x² + 6x + 9 = 12

Factor the left side of the equation as a perfect square:

(x + 3)² = 12

Take the square root of both sides of the equation:

√((x + 3)²) = ±√12

x + 3 = ±√12

Solve for x:

x = -3 ± √12

Therefore, the solutions to the quadratic equation x² + 6x - 3 = 0, obtained by completing the square, are:

x = -3 + √12

x = -3 - √12

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The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:19.7

Step-by-step explanation:

Sin‐(7.5/22.3) on your calculator

The answer to 3 significant figures is 19.7

Size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).

" Angle is defined as when two rays meet at one point known as vertex."

Formula used

\(sin\theta = \frac{ opposite side }{Hypotenuse}\)

According to the question,

As shown in the figure,

In triangle YXZ,

Angle X = 90 degrees

Opposite side to ∠YZX , XY = 7.7cm

Hypotenuse ,  ZY = 22.3 cm

Substitute the value in the formula to get the value of size of angle YZX,

\(sin YZX = \frac{XY}{ZY}\)

⇒\(sin YZX = \frac{7.5}{22.3}\)

⇒\(sin YZX = 0.3363\)

⇒ \(YZX = sin^{-1} (0.3363)\)

⇒∠YZX = 19.651°

Hence, size of angle YZX for the given measurements of triangle YZX is equal to 19.651°( 3 significant figure).

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Answer:

2/5

Step-by-step explanation:

.4 is 40% out of a 100 so it is 2/5

Answer:

4 over 10

Step-by-step explanation:

the .4 is in the 10 place in the destimal sot here forever when u make it a fraction it would be ⁴/10

Answer:

A -4

Step-by-step explanation:

x- 6 = 5(x+2)

x- 6= 5x +10

-6-10 = 5x - x

-16 = 4x

x = -16/4

x = -4

Answer:

Step-by-step explanation:

Tienes que multiplicar el seis y el cuatro lo que te multiplicarlo por 3,14y después dividirlo por dos

Step-by-step explanation:

AD= 10cm DC=10cm

while in part 2

DE= 5m

In part (a), we will show that if the average cost is at a minimum, then the marginal cost equals the average cost.

This is a fundamental result in economics, known as the "minimum average cost principle." In part (b), we will apply this principle to a specific cost function and find the cost, average cost, and marginal cost at a production level of 1000 units. We will also determine the production level that minimizes the average cost and calculate the minimum average cost.

(a) To show that if the average cost is at a minimum, the marginal cost equals the average cost, we can use calculus. The average cost function c(x) = C(x)/x can be written as c(x) = C(x)*x^(-1). The derivative of the average cost function with respect to x is c'(x) = C'(x)*x^(-1) - C(x)*x^(-2), where C'(x) and C(x) are the derivatives of C(x) with respect to x. Setting c'(x) equal to zero gives us C'(x)*x - C(x) = 0, which simplifies to C'(x) = C(x)/x. Thus, when the average cost is at a minimum, the marginal cost equals the average cost.

(b) Given the cost function C(x) = 16,000 + 200x + 4x^(3/2), we can find the cost, average cost, and marginal cost at a production level of 1000 units. Plugging x = 1000 into C(x), we get C(1000) = 16,000 + 200(1000) + 4(1000)^(3/2) = 16,000 + 200,000 + 4,000 = 220,000 dollars. The average cost at x = 1000 is c(1000) = C(1000)/1000 = 220,000/1000 = 220 dollars per unit. To find the marginal cost, we take the derivative of the cost function: C'(x) = 200 + 6x^(1/2). Evaluating C'(x) at x = 1000 gives us C'(1000) = 200 + 6(1000)^(1/2) = 200 + 6(31.62) = 200 + 189.72 = 389.72 dollars per unit.

To find the production level that minimizes the average cost, we need to find the value of x that makes c'(x) = C'(x)/x = C(x)/x^2 equal to zero. From the cost function, we have C'(x) = 200 + 6x^(1/2) and C(x) = 16,000 + 200x + 4x^(3/2). Setting C'(x)/x = 0 gives us (200 + 6x^(1/2))/x = 0, which implies 200 + 6x^(1/2) = 0. Solving for x, we find x = (200/36)^(2/3) ≈ 25.53. Therefore, the production level that minimizes the average cost is approximately 25.53 units.

Finally, to calculate the minimum average cost, we substitute the value of x = 25.53 into the average cost function: c(25.53) = C(25.53)/25.53 = (16,000 + 200(25.53) + 4(25.53)^(3/2))/25.53 ≈ 199

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The probability that in a given ten-minute interval, 15 cars arrive at the booth, and 10 of these are japanese imports = 0.0002

We know that the conditions for the Poisson distribution.

1) The occurrence of one event does not affect the probability another event will occur. i.e., the events are independent events.

2) The average rate i.e., the ratio events per time period is constant.

3) Two events cannot occur at the same time.

and the formula for the Poisson distribution is:

\(P(X = k)=\frac{e^{-\lambda}\times {\lambda}^k}{k!}\)

Here, the cars arrive at a toll booth according to a Poisson process at a rate of 3 arrivals per minute.

We need to find the probability tthat in a given ten-minute interval, 15 cars arrive at the booth, and 10 of these are japanese imports.

Here, we need to multiply the Binomial probability of 10 out of 15 cars being Japanese with the Poisson probability of 15 cars arriving in a 10 minute period.

The Binomial probability of 10 out of 15 cars would be:

P₁(x = 10) = ¹⁵C₁₀ (0.6)¹⁰ (0.4)¹⁵⁻¹⁰

P₁ = 0.18594

And the Poisson probability of 15 cars arriving in a 10 minute period.

So we use λ = 30.

P₂(X = 15) = \(\frac{e^{-30}\times {30}^{15}}{15!}\)

P₂ = 0.0010

So, the required probability would be:

P = P₁ × P₂

P =  0.18594 ×  0.001

P = 0.00018594

P= 0.0002

Therefore, the required probability is 0.0002

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The complete question is:

Cars arrive at a toll booth according to a Poisson process at a rate of 3 arrivals per minute.

b) Of the cars arriving at the both, it is known that over the long run 60% are Japanese imports. What is the probability that in a given ten-minute interval. 15 cars arrive at the booth, and 10 of these are Japanese imports? State your assumptions clearly.

The equation that shows an example of the associative property of addition is:

\(\((-7+i)+7i = -7 + (i+7i)\)\)

According to the associative property of addition, the grouping of numbers being added does not affect the result. In this equation, we can see that both sides of the equation represent the addition of three terms:

\(\((-7+i)\), \(7i\),\)  and  \(\(i\).\)  The equation shows that we can group the terms in different ways without changing the sum.

The equation  \(\((-7+i)+7i = -7 + (i+7i)\)\)  demonstrates the associative property by grouping  \(\((-7+i)\)\) and  \(\(7i\)\)  together on the left side of the equation, and  \(\(-7\)\) and  \(\((i+7i)\)\)  together on the right side of the equation. Both sides yield the same result, emphasizing the associative nature of addition.

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Solution

David simplified a polynomial

For the first step

Open the brackets

The first step is correct.

For the second step

Collect like terms

The second step is correct

For the third step

Add up the like terms

The third step is correct.

Hence, David did not make a mistake

Answer: d=162km

Step-by-step explanation:

the equation of this question is:

speed = distance / time

s=d/t

18=d/9

d=18*9

d=162km