the expression p(z<2.87) represents the area under the standard normal curve below a given value of z. what is p(z<2.87)?

Answer:

5 presents

Step-by-step explanation:

40 presents in 2 hours

20 presents in 1 hour (divide by 2)

20 presents in 60 minutes ( 1 hour is 60 minutes )

5 presents in 15 minutes ( divide by 4)

Answer: y = \(\frac{-5x}{3} + \frac{152}{15}\)

Step-by-step explanation:

We know that if the equation is linear, it's in the form y = mx + c

Find the slope by finding the difference of of the y coordinates and dividing it by the difference of the x. \(\frac{3.3-6.3}{4.1-2.3}\) = \(\frac{-3}{1.8}\)  = \(\frac{-5}{3}\)

y = \(\frac{-5x}{3}\) + c Now find c by using one of the coordinates and substituting into x and y.

3.3 = \(\frac{-5(4.1)}{3}\) + c

c = \(\frac{152}{15}\)

So the equation is y = \(\frac{-5x}{3} + \frac{152}{15}\)

Answer:

8/19

Step-by-step explanation:

divide 48/162 on both numbers by 6

(48 divided by 6) / (162 divided by 6)

=8/19

Answer:

(4x-9)^2.

Step-by-step explanation:

If you want to simplify 16x^2 - 72x + 81, you can use a cool trick called the square of a binomial rule. This rule says that if you have something like (a + b)^2, you can expand it as a^2 + 2ab + b^2. So, how do we apply this rule to our problem? Well, first we need to find a and b that make our expression look like (a + b)^2. We can do this by noticing that 16x^2 is the same as (4x)^2 and 81 is the same as 9^2. Then we can check that the middle term is -2 times the product of 4x and 9, which is -72x. So we can write our expression as (4x - 9)^2. That's it! We have simplified our expression using the square of a binomial rule.

It will take 5 seconds to reach the maximum height and the maximum height will be 1220 feet.

We know the maximum or minimum height of a parabola is at the vertex so we need to find the vertex

Now,

Calculating the vertex:

The t - coordinate of the vertex can be calculated with

b = 160

a = 16

   t = \(\frac{-160}{2(-16)}\)

⇒  t = -160/-32

⇒ t =5

We know that with the t coordinate we can find the height at that time

     \(h_{t} = -16(5)^2 +160(5) +20\)

\(h_{t} = 16(25) +800 +20\\h_{t} = 400 +800 +20\\ h_{t} = 1220\)

Therefore, the stone reaches its maximum height of 1220 feet in 5 secs.

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the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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Answer:

the answer is 1240

Step-by-step explanation:

1st you have to find the area of each surface and then add all the numbers together

(22x10)+(22x10)+(22x10)+(22x10)+(18x10)+(18x10)

then solve

220+220+220+220+180+180

1240

Answer:

56.25 ft

Step-by-step explanation:

If it is a square room, it will have four walls so...

We divide 225 by 4 and get 56.25

Hope this helped!

Answer:

228+318=556

Step-by-step explanation: in conclusion that's alot of meat

The answer for this problem would have to be $546

The greatest common factor is the biggest number that divides all of them evenly. For this, we have \(x^4, x^7, x^8\). Let's try \(x^4\). Does it divide all three evenly?

\(x^4/x^4 = 1\\x^7/x^4 = x^3\\x^8/x^4 = x^4\)

Yes, because those are all whole numbers. Is there a bigger number than \(x^4\) which divides all three? No, there can't be, because then it wouldn't go into \(x^4\) evenly. (It would be too big.)

So \($$\boxed{x^4}$$\) must be the greatest common factor.

Answer:

42.84

Step-by-step explanation:

semi circle circumference = pi * r

3.14 * 6 = 18.84

18.84+6+10+8

42.84

Answer:

42.84

Step-by-step explanation:

Circle (SEMI)-------------------- Circumference = Pi R*  <--- (Pie R squared)

Pi R*= 3.14

2. 18.84 + 6 +10 +8 (Add all numbers together)

ANSWER----------------- 42.84

The 6th term of the sequence is 4

The given parameters are:

a1 = -4096

a4 = 64

The nth term of the sequence is:

a(n) = a1 * r^(n-1)

So, we have:

a4 = a1 * r^3

This gives

r^3 = a4/a1

Substitute the known values

r^3 = 64/-4096

Evaluate

r^3 = -1/64

Take the cube roots

r = -1/4

The 6th term is

a(6) =a1 * r^5

This gives

a(6) = -4096 * (-1/4)^5

Evaluate

a(6) = 4

Hence, the 6th term of the sequence is 4

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Answer:

(-0.5,0)

Step-by-step explanation:

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:

Step-by-step explanation:

step 1: multiply both sides by 9π to get V9πr³=2

step 2: divide both sides by V9π to get r³=2/(V9π)

step 3: take the cubed root of both sides to get r=∛[2/(V9π)]

Answer:

16(sin 30degrees) = BC

BC = 8

Answer:

A)65°

B)110°

C)50°

D)55°

E)80°

Step-by-step explanation:

Since the angle on a straight line should be 180, you  simply subtract the given angles from 180

hope I helped

Answer:

16 ounces = 1 pint, 8 times 2 = 16

Step-by-step explanation:

Answer in explanation:

1 pint is 16 ounces so he could make 2 batches of lemonade with 1 pint of lemon juice.

(8 x 2 = 16

your answer is 2

Hope this helps!

Using the inverse variation formula, p × q = k, where k is a constant, we can solve for q when p is equal to 2, given that p and q vary inversely and p is 24 when q is 23 when p is equal to 2, q is equal to 276.

When two variables vary inversely, as one variable increases, the other variable decreases proportionally, and vice versa. In this problem, p and q vary inversely, which means that if we multiply p by some constant, we need to divide q by the same constant to maintain the inverse variation.

First, we need to find the value of k using the given information:

p × q = k

24 × 23 = k

k = 552

Now that we have the value of k, we can use it to solve for q when p is equal to 2:

p × q = k

2 × q = 552

q = 276

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Answer:

k

Step-by-step explanation:

2x+13<5x−20

Subtract 5x from both sides.

Combine 2x and −5x to get −3x.

Subtract 13 from both sides.

Subtract 13 from −20 to get −33.

Divide both sides by −3. Since −3 is negative, the inequality direction is changed.

​

x>11

Answer:

Choice A, x=1

Step-by-step explanation:

So, to start, there's two routes that you can take there. I am going to show one of these routes.

Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.

The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.

With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.

Since they are congruent, they are equal and we can just set them equal to each other.

Starting With:

3x+1 = x+3

Step 1) Cancel out the +1

3x+1 -1 = x+3 -1

3x = x+2

Step 2) Cancel out the x

3x -x = x+2 -x

2x = 2

Step 3) Divide by 2 get x by itself

2x/2 = 2/2

x=1

All done!

The equation of the straight line with a gradient of -1 and passing through the point (-1/2, -1/4) is y + x = -3/4.

To find the equation of a straight line, we can use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where m represents the gradient (slope) of the line, and (x1, y1) represents a point on the line.

In this case, the gradient is -1, and the line passes through the point (-1/2, -1/4).

Plugging the values into the point-slope form:

y - (-1/4) = -1(x - (-1/2))

Simplifying:

y + 1/4 = -1(x + 1/2)

y + 1/4 = -x - 1/2

Now, let's bring the terms to one side of the equation:

y + x = -1/2 - 1/4

Combining the fractions:

y + x = -3/4

Therefore, the equation of the straight line with a gradient of -1 and passing through the point (-1/2, -1/4) is y + x = -3/4.

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The distance traveled is 5 miles and the displacement is 3.61 miles.

Given,

A car first travels 3 miles north and then 2 miles in the east direction.

                2 miles

            ----------------------

            |                       /

            |                   /

    3      |               /    (13)^1/2

miles    |           /

            |       /

            |   /

From this above diagram, it can be understood that traveling 3 miles north and then 2 miles east, can can figuratively be represented as a right angled triangle. This triangle can be used to find the displacement.

Distance can be defined as the total movement of the car irrespective of the direction. In this case, distance = 3 miles + 2 miles = 5 miles

Displacement can be defined as the shortest path traveled between two points. The above triangle can be used to calculate the displacement.

Using Pythagoras theorem,

(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2

=> (Displacement)^2 = 3^2 +2^2

=> Displacement = (13)^1/2 = 3.61 miles

Therefore, we get the total distance as 5 miles and the displacement as 3.61 miles.

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Answer: Neither

Step-by-step explanation:

The y-intercept of Function 1 is 10 because it is in slope-intercept form.

The y-intercept of Function 2 is 10 because that is when x=0.

So, the functions have the same y-intercept.

a) Part A: The perceived image of Jet Airways

Jet Airways is one of the well-known airlines in India. It is headquartered in Mumbai and operates both domestic and international flights. The perceived image of Jet Airways in the minds of its customers is important to the success of the airline. Perceived image refers to what the customers think about the airline, and this is important for customer loyalty and retention.

Constructing a seven-item and semantic differential scale to measure the perceived image of Jet Airways would be as follows:

1. Reliability: how reliable is Jet Airways on a scale of 1 to 7 (with 1 being extremely unreliable and 7 being extremely reliable)

2. Responsiveness: how responsive is Jet Airways to the needs of its customers on a scale of 1 to 7 (with 1 being extremely unresponsive and 7 being extremely responsive)

3. Empathy: how empathetic is Jet Airways to the concerns of its customers on a scale of 1 to 7 (with 1 being extremely unempathetic and 7 being extremely empathetic)

4. Assurance: how assured do you feel when you travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely unassured and 7 being extremely assured)

5. Tangibles: how do you rate the physical appearance of Jet Airways on a scale of 1 to 7 (with 1 being extremely poor and 7 being extremely good)

6. Price: how do you rate the price of Jet Airways on a scale of 1 to 7 (with 1 being extremely expensive and 7 being extremely affordable)

7. Convenience: how convenient is it to travel with Jet Airways on a scale of 1 to 7 (with 1 being extremely inconvenient and 7 being extremely convenient)

The above semantic differential scale helps in measuring the perceived image of Jet Airways. The seven-item and semantic differential scale ensure that the seven under each format correspond to the same seven dimensions.

By answering each question, the customers can rate Jet Airways on various factors, and the airline can use this feedback to improve its service and overall image.

b) Part B:

Examination of a technical and business report

The structure of a technical and business report includes a title page, abstract, table of contents, introduction, main body, conclusion, and references. An examination of a technical and business report from the internet reveals some deviations from the stated structure. One of the significant deviations is the absence of the abstract section. The abstract provides a brief summary of the report, including the purpose, methodology, and findings. The report from the internet did not have an abstract section, and this deviation could be due to the report being a short summary of a more extensive study.

The report from the internet did not have a separate conclusion section. The conclusion is important as it summarizes the findings of the study and provides recommendations for further research. The report from the internet integrated the findings and recommendations into the main body of the report, and this deviation could be due to the length of the report.

Another deviation is the lack of a reference section. The reference section is essential as it provides the sources used in the study. The report from the internet did not have a reference section, and this deviation could be due to the type of report and the fact that it was not a formal research report.

In conclusion, technical and business reports should follow a specific structure to ensure that they are clear, concise, and easily understood. Deviations from the stated structure can affect the quality and accuracy of the report. The deviations in the report from the internet could be due to the length, type, and purpose of the report.

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Answer:

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.

Step-by-step explanation:

Answer:

Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's

Step-by-step explanation:

Given:

Esmeralda's garden = 25 square feet

Genevieve's garden = 4 square yards

Convert Genevieve's units (yards) to feet

Yards to feet

1 yard = 3 feet

4 yards = 4 * 3 feet

4 yards = 12 feet

Genevieve's garden = 12 square feet

Genevieve's garden is 12 square feet and thus, has a smaller area than Esmeralda's

Answer:

The answer is: Genevieve's garden is 36 square feet, and thus, has a larger area than Esmeralda's

Step-by-step explanation:

Answer:

It's bubbled in so it's C.

Step-by-step explanation:

Why did u ask something that was answered?

Thanks for your time.

(>.<) <3 Kris

Answer:

B and C

Step-by-step explanation:

The really tough one to get rid of is A. She's right in her method and it sounds like A should be a deal breaker. Suppose however, you make y = 1/x. Now the equation is linear.

y + 3 = 3y            Subtract y from both sides

3 = 3y - y

3 = 2y                  Now divide this by by 2

3/2 = y          

But they are not the same answer!! You've gotten rid of one problem only to create another. Well yes. I never said it was easy getting rid of A. But remember y = 1/x, so x will equal 1 / y.

x = 1/y = 1//3/2 = 2/3

Now they agree.

That's kind of sneaky you might say. That's right it is. But its not wrong. A is not part of the answer.

B is certainly right.

C is correct as well, That's the way the equation is ultimately solved.

D is nonsense. You can do all sorts of things with the letters in equations