PLEASEEE ASAPPPPP BRAINLIEST

The answer is (b) I = 13/12.

We can use the degree 2 Taylor polynomial of f(x) centered at 0, which is given by:

f(x) ≈ f(0) + f'(0)x + (1/2)f''(0)x^2

where f(0) = e^0 = 1, f'(x) = (-1/2)xe^(-x^2/4), and f''(x) = (1/4)(x^2-2)e^(-x^2/4).

Integrating the approximation from 0 to 1, we get:

∫₀¹ f(x) dx ≈ ∫₀¹ [f(0) + f'(0)x + (1/2)f''(0)x²] dx

= [x + (-1/2)e^(-x²/4)]₀¹ + (1/2)∫₀¹ (x²-2)e^(-x²/4) dx

Evaluating the limits of the first term, we get:

[x + (-1/2)e^(-x²/4)]₀¹ = 1 + (-1/2)e^(-1/4) - 0 - (-1/2)e^0

= 1 + (1/2)(1 - e^(-1/4))

Evaluating the integral in the second term is a bit tricky, but we can make a substitution u = x²/2 to simplify it:

∫₀¹ (x²-2)e^(-x²/4) dx = 2∫₀^(1/√2) (2u-2) e^(-u) du

= -4[e^(-u)(u+1)]₀^(1/√2)

= 4(1/√e - (1/√2 + 1))

Substituting these results into the approximation formula, we get:

∫₀¹ f(x) dx ≈ 1 + (1/2)(1 - e^(-1/4)) + 2(1/√e - 1/√2 - 1)

≈ 1.0838

Therefore, the closest answer choice is (b) I = 13/12.

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The percentage of the total deliveries made by the Mary is equal to 95%.

As given in the question,

Total number of deliveries need to be delivered by the Mary this week = 40

Total number of deliveries completed by Mary is equal to 38

Percentage formula =  [( Number obtained ) / (Total number ) ] × 100

Substitute the value in the formula we get,

The percentage of the completed deliveries made by Mary is

= ( 38 / 40 ) × 100

= 3800 / 40

= 95%

Therefore, the total percentage of the completed delivery made by Mary is equal to 95%.

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Answer:

D

Step-by-step explanation:

add them together

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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(a) Draw a tree diagram for the experiment. (b) Probability of drawing a second blue marble given the first marble drawn was blue: 9/14. (c) Probability of drawing a second purple marble: 6/7.

(a) The tree diagram for the experiment would have two levels. The first level represents drawing a marble from box number 1, and the second level represents drawing a marble from box number 2. Each level would have branches for the possible outcomes, considering the different colors of marbles in each box.

(b) Given that the first marble drawn was blue, the probability of the second marble drawn being blue can be calculated using conditional probability. Let B1 represent the event of drawing a blue marble from box 1, and B2 represent the event of drawing a blue marble from box 2.

We need to find P(B2|B1), which represents the probability of B2 given B1. This can be calculated as P(B2 and B1) / P(B1). Since the marble drawn from box 1 is placed in box 2, the probability of B2 and B1 occurring together is the same as the probability of drawing a blue marble from box 2 initially, which is 3/7.

The probability of drawing a blue marble from box 1 is 4/6 (as there are 6 marbles remaining after the initial draw). Therefore, P(B2|B1) = (3/7) / (4/6) = 9/14.

(c) The probability of the second marble drawn being a purple marble can be calculated similarly using conditional probability. Let P1 represent the event of drawing a purple marble from box 1, and P2 represent the event of drawing a purple marble from box 2.

We need to find P(P2|B1), which represents the probability of P2 given B1. This can be calculated as P(P2 and B1) / P(B1). Since the marble drawn from box 1 is placed in box 2, the probability of P2 and B1 occurring together is the same as the probability of drawing a purple marble from box 2 initially, which is 4/7.

The probability of drawing a blue marble from box 1 is 4/6. Therefore, P(P2|B1) = (4/7) / (4/6) = 6/7.

In summary, the probability of drawing a second blue marble given that the first marble drawn was blue is 9/14, while the probability of drawing a purple marble as the second marble is 6/7.

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Answer:

gracias mijita mia flou del bueno se nesesita flou papumkñlovgjkAqwsZdeXrg

The values of the function h(x) are:

h(0) = 10,

h(4) = 2%.

To find the values of the function h(x) when x = 0 and x = 4, we substitute these values into the given function and simplify the expressions.

Given:

h(x) =

-8, when x < 0

-3x + 10, when 0 < x < 4

2%, when x > 4

When x = 0:

Since x = 0 falls in the range of 0 < x < 4, we use the expression -3x + 10:

h(0) = -3(0) + 10 = 10.

When x = 4:

Since x = 4 falls in the range of x > 4, we use the expression 2%:

h(4) = 2%.

Therefore, the values of the function h(x) are:

h(0) = 10,

h(4) = 2%.

The exact value for 2% depends on the context and how it is intended to be interpreted. If it represents 2% of a specific quantity, it can be further simplified or expressed as a decimal or fraction, depending on the desired format.

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Answer:

(–½, 6)

Step-by-step explanation:

The following data were obtained from the question:

S coordinate = (2, 5)

T coordinate = (–3, 7)

Mid point =..?

The mid point (S, T) can be obtained as follow:

S = (s₁ + s₂)/2

s₁ = 2

s₂ = –3

S =?

S = (2 + –3)/2

S = (2 – 3)/2

S = – ½

T = (t₁ + t₂)/2

t₁ = 5

t₂ = 7

T =.?

T= (5 + 7)/2

T = 12/2

T = 6

Mid point = (S, T) = (–½, 6)

Considering the surface area of the spherical ballon, it will take 7 seconds for the the balloon to fully inflate.

The surface area of a sphere of radius r is given by:

\(S = 4\pi r^2\)

In this problem, the surface area is of \(784\pi\) cm², hence the radius in cm is found as follows:

\(784\pi = 4\pi r^2\)

\(4r^2 = 784\)

\(r^2 = \frac{784}{4}\)

\(r^2 = 196\)

\(r = \sqrt{196}\)

r = 14 cm.

The radius start at 0 cm, inflating at a rate of 2 cm/s, hence it will take 7 seconds for the the balloon to fully inflate, as 14 cm/(2 cm/s) = 7 s.

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Sorry, what is the question? OwO

Answer:

Y=20x is the answer:)

Step-by-step explanation:

Hope this helps!

A relation in math is a set of ordered pairs containing two elements, one from each set. The first element is from the domain and the second from the range.

Relations can be expressed as a set of ordered pairs, as a graph, or as a mapping diagram. A function is a special type of relation in which, for every element in the domain, there is one and only one element in the range. This is expressed mathematically by stating that for every x in the domain, there is one and only one y in the range such that y = f(x). To calculate a relation, the domain and range values are paired with each other, and the ordered pairs are written down. For example, if the domain is {2,3,4,5} and the range is {7,8,9,10}, then the relation would be {(2,7),(3,8),(4,9),(5,10)}.

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Answer:-4 2 6

Step-by-step explanation:edge 2020

Answer: -4 2 and 6

Step-by-step explanation: edge 2020

A mathematical puzzle, where the rational numbers are used is attached with the answer.

A puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge.

In a puzzle, the solver is expected to put pieces together in a logical way, in order to arrive at the correct or fun solution of the puzzle.

Given is to investigate a mathematical puzzle where rational numbers are used.

Refer to the image attached. It shows a mathematical puzzle attached where the rational numbers are used.

Therefore, a mathematical puzzle, where the rational numbers are used is attached with the answer.

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{Question in english -

Investigate a mathematical puzzle where rational numbers are used.}

The percent increase from 250 to 900 is 260%. To find the percent increase from 250 to 900, we can use the percent change formula for an increase.

The formula is:

Percent Increase = (Amount of Increase / Original Amount) * 100

In this case, the original amount is 250 and the amount increased to is 900. Let's substitute these values into the formula:

Percent Increase = (900 - 250) / 250 * 100

Simplifying the numerator:

Percent Increase = 650 / 250 * 100

Now, divide 650 by 250:

Percent Increase = 2.6 * 100

Multiply 2.6 by 100:

Percent Increase = 260

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Answer:

x = 19

Step-by-step explanation:

5x - 37 = 3x + 1      (move over the 3x by subtracting)

2x - 37 = 1      (move over the 37 by adding)

2x = 38      (divide both sides by 2)

x = 19

x=19

Step-by-step explanation:

(5x-37) = (3x+1)

5x - 3x = 1 + 37

5x - 3x = 38

2x = 38

x = 19

The speed of the second train = 357.1 mph

The speed of the first train = 363 mph.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

The sum of the speeds of the two trains is 720.1 miles per hour.

If the speed of the first train is 5.9 mph faster than that of the second train,

Let x be the speed of the second train.

Then,

x + x + 5.9 = 720.1

2x + 5.9 = 720.1

2x = 714.2

The speed of the second train x = 357.1 mph

The speed of the first train x + 5.9 = 363 mph.

Therefore, the speeds are 357.1 and 363 mph.

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Answer:

Yes

Step-by-step explanation:

We know this because the proportion can be used to find another answer.

Example:

How many feet did the elevator ascend in 0.25 minutes?

 750           x

---------- = ----------

    1           0.25

750(0.25) = 1x

187.5 = x

***Sorry about the format. Hope this helps!

To solve for n in the equation log64n=-1/3, we can use the definition of logarithms. The logarithm of a number is the power to which the base must be raised to obtain that number. In this case, the base is 64 and the logarithm is -1/3, so we can write:

64^(-1/3) = n

To simplify this expression, we can use the fact that (a^b)^c = a^(b*c), which means we can rewrite 64 as 2^6:

(2^6)^(-1/3) = 2^(-2) = 1/4

So the solution to the equation log64n=-1/3 is n = 1/4.

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Answer:

−7.6n+9.7

Step-by-step explanation:

First, lets put the equation

≈3.7 - 4.6n - 3n + 6

Add light terms

−7.6n + 9.7

Now were done

Answer:

C. \( \frac{\pi}{4} \)

Step-by-step explanation:

\(terminal \: point \: of \: \theta = \bigg( \frac{ \sqrt{2} }{2}, \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: (x, \: \: y) = \bigg( \frac{ \sqrt{2} }{2} \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: x = \frac{ \sqrt{2} }{2}, \: \: y = \frac{ \sqrt{2} }{2} \\ \\ \because \tan \theta = \frac{y}{x} \\ \\ \therefore \tan \theta = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\\therefore \tan \theta =1 \\ \\ \implies \tan \theta =\tan \bigg( \frac{\pi}{4} \bigg) \\ \\ \implies \: \theta \: = \frac{\pi}{4} \)

The following factors, among others, could be important in determining how much an antique clock will cost:

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The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.

Let us consider the present age of Earl to be x years.

According to the given question, the present age of Robin is twice that of Earl = 2x

And since it is given that Adam is 8 years younger than Earl, then his age

= x - 8

After 6 years, the age of Earl will be x + 6

Robin's age  will be = 2x + 6

Adam's age will be = x - 8 + 6 = x - 2

According to the given question, Robin's age will be thrice the age of Adam.

Hence, 2x + 6 = 3 (x - 2)

⇒ 2x + 6 = 3x - 6     ⇒ 6 + 6 = 3x - 2x     ⇒ 12 = x

Thus, the present age of Earl is 12 years,

Robin's age = 2x = 2 x 12 = 24 years

Adam's age = x - 8 = 12 - 8 = 4 years

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Answer:

8feet

Step-by-step explanation:

Given the equation that models the arch of a school expressed as;

\($y=-0.5\left(x+4\right)\left(x-4\right)$\)

If the x axis represents the ground;

At the ground level, x = 0

Substitute x = 0 into the equation to get y;

y = -0.5(0+4)(0-4)

y = -0.5(4)(-4)

y = -0.5 * -16

y = 8ft

Hence the y axis at the ground level is 8feet

Answer:

1 balloon is = £2 and 1 cake is = £4

Step-by-step explanation:

this is true because 2 balloons = £4

and 3 cakes = £12 so 4 + 12 = 16 and also

4 balloons = £8

and 4 cakes = £16 so 8 + 16 = £24

this is one of the possible answers

Answer:

A cake is £3.50

A Balloon is £2.75

Step-by-step explanation:

Let b be balloons and c be cake

2 balloons and 3 cakes = £16 = 2b + 3c = 16

4 balloons and 4 cakes = £24 = 4b + 4c = 25

First times -2 to the first equation

-4b - 6c = -32

4b + 4c = 25

Now let's find c first by adding the two equations together.

-2c = -7

c = £3.50

Now put 3.50 back in the c

4b + 4(3.50) = 25

4b + 14 = 25

4b = 11

b = £2.75

Answer:

4370

Step-by-step explanation:

Answer:

4,370.0

Step-by-step explanation:

Answer:

yes, contains bias

Step-by-step explanation:

surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

answer :

x = 10, x = 124