Enter the value for sin(D) as a reduced ratio.

Enter the value for cos (D) as a reduced ratio.

The probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

To solve this problem, we first need to find the expected number of people who will show up on the flight. Since the airline estimates that 96% of people booked will actually show up, we can estimate that 0.96 x 70 = 67.2 people will show up.

Next, we need to find the probability that the number of people who show up will exceed the capacity of the plane, which is 65. To do this, we can use the normal distribution with a mean of 67.2 and a standard deviation of √(70 x 0.96 x 0.04) = 1.63.

We want to find the probability that the number of people who show up is greater than 65. To do this, we can standardize the value of 65 using the formula z = (x - mu) / sigma, where x is the value we want to standardize (65), mu is the mean (67.2), and sigma is the standard deviation (1.63).

z = (65 - 67.2) / 1.63 = -1.35

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.35 is 0.0885. Therefore, the probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

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Answer:490

Step-by-step explanation:

Answer:

No, Marco is not correct. The number does not actually repeat because after each 9 there is an additional 6 before the next 9. The number is not a rational number.

Step-by-step explanation:

Answer:Marco is not correct 69, and 669, and 6,669 are not the same a repeating decimal must have a digit or a group of digits that repeat this is not a rational number.

Step-by-step explanation:

Answer:

Polynomials are algebraic expressions that consist of variables and coefficients. ... We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x2+x-12.

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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The residual sum of Squares (RSS) is 22. Thus, the correct option is d. 22.

To calculate the residual sum of squares (RSS), we need to find the difference between the actual y-values and the predicted y-values (based on the regression line), square those differences, and sum them up.

Given the regression line ŷ = 3 + 2x, we can substitute the x-values from the data points to calculate the predicted y-values. Let's calculate the predicted y-values for each data point:

For the data point (4,8):

ŷ = 3 + 2(4) = 3 + 8 = 11

For the data point (2,5):

ŷ = 3 + 2(2) = 3 + 4 = 7

For the data point (1,2):

ŷ = 3 + 2(1) = 3 + 2 = 5

Now we can calculate the differences between the actual y-values and the predicted y-values:

For the data point (4,8):

Residual = 8 - 11 = -3

For the data point (2,5):

Residual = 5 - 7 = -2

For the data point (1,2):

Residual = 2 - 5 = -3

Next, we square each of the residuals:

(-3)^2 = 9

(-2)^2 = 4

(-3)^2 = 9

Finally, we sum up the squared residuals:

RSS = 9 + 4 + 9 = 22

Therefore, the residual sum of squares (RSS) is 22. Thus, the correct option is d. 22.

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Answer:

Y = 2x + 4

Step-by-step explanation:

y= mx +b

First, find m (aka the slope)

\(\frac{rise}{run}\) = \(\frac{2}{1}\) = 2

m = 2

Find b (aka the y-intercept)

The line touches the y-axis at (0,4). Therefore b = 4

Plug m and b into the slope-intercept equation

y = mx +b

y = 2x + 4

If the denominator is having a poor integer, then we can multiply the numerator and denominator each through -1, to carry the minus signal at the top.

What is supposed through integer ?

The variety 0 (0), a tremendous natural variety (1, 2, three, and so on.), or a terrible integer denoted by way of a minus sign (1, 2, 3, and many others.) are all examples of integers.

The inverse components of the equal superb numbers are the bad numbers.

the lowest organization and ring of the natural numbers are fashioned by using the integers.

to distinguish them from the more common algebraic integers, the integers in algebraic quantity theory are every so often particular as rational integers.

In truth, (rational) integers are rational numbers which are also algebraic integers.

inside the beyond, the word was used to refer to a a couple of of 1 or the whole aspect of a blended quantity.

we will multiply and divide -five with the aid of (-1), to get;

(-five)*(-1) = five

as a result, five is a effective rational range.

1 can be expressed inside the form of ratio, such that,

1 = 1*1

wherein each numerator and denominator, i.e. 1 and 1 are high-quality integers.

therefore, 1 is a high quality rational wide variety.

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1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

the first one

Step-by-step explanation:

kkrkrkrkrkrk

Answer:

(-4,1)

Step-by-step explanation:

True. The cost feasibility of a systems development project is indeed dependent on the project's scope.

The cost feasibility of a systems development project refers to the evaluation of whether the project can be completed within the allocated budget. One of the key factors influencing cost feasibility is the scope of the project. The scope defines the boundaries and objectives of the project, including the features, functionalities, and deliverables that are expected to be developed.

When the scope of a project is well-defined and limited, it tends to be more cost-feasible. A smaller scope usually requires fewer resources, less development time, and ultimately, lower costs. On the other hand, projects with a broader or more complex scope often involve a larger number of requirements, greater integration challenges, and increased development efforts, which can drive up the costs.

Therefore, the scope of a systems development project plays a crucial role in determining its cost feasibility. Project managers and stakeholders need to carefully analyze and define the project's scope to ensure that it aligns with the available resources and budget, thereby increasing the chances of successful and cost-effective project completion.

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P - Parentheses

E - Exponents

M - Multiply

D - Divide

A - Add

S - Subtract

PEMDAS, is just an order of operations...

In our order above, Multiplying comes BEFORE addition OR Subtraction...

40 x 0 = 0

Then moving to the front...

40 - 0 = 40...

Lastly, 40 + 1 = 41

Answer is 41

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as paired samples.

Paired samples are a type of experimental design in which two sets of data are compared for a given set of variables.

The term “paired” refers to the fact that each data point in one set corresponds to a specific data point in the other set.

Paired samples are a statistical method that is used to compare two groups of data.

Each set of data must be obtained from a single source.

A paired sample is where each observation in one group is matched with an observation in the other group.

This is a statistical technique that is frequently used in experimental research to measure the effect of a treatment on a particular group.

An example of a paired sample is when the same set of people are tested twice to determine the effect of a drug.

The first test is performed before the drug is administered, and the second test is performed after the drug has been administered.

The results of the two tests are then compared to determine the effect of the drug on the group of people.

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Answer:

It’s 135

or 67.5

Step-by-step explanation:

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

Answer:

about 11.7 units (Pls mark me as brainy)

Step-by-step explanation:

Find the width:

length⋅width=  area

4w=44    Plug in known values.

4w/4=44/4    Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2=  c^2   Use the Pythagorean Theorem.

16+121=  c^2   Simplify.

137=c^2   Simplify.

±√137​= √c^2   Square root both sides.

11.704699...= c   Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c     Round to the nearest tenth.

The length of the diagonal is 11.7 units.

when we replace the old divider with a new one that is n times faster. The original program execution time can be expressed as T0 = t_divide + t , and the new program can be expressed as T1 = 0.12t_divide(d/n) + 0.88t. The answer is n  2.49 (rounded to two decimal places).

The question requires us to calculate the value of n when the overall speedup for a program containing 12% divide operations is 1.7 when we replace the old divider by a new one that is n times faster. We need to round the answer to two decimal places.Steps to solve the given problem:

Let's consider that the program execution time consists of two parts. One part of the execution time consists of the divide operations and the second part consists of the program.In other words, the original program execution time can be expressed as:T0 = t_divide + t Suppose the old divider was taking d seconds for performing a divide operation, and the new divider takes d/n seconds to perform the same operation. This implies the time required for the divide operation using the new divider is n times faster than the old divider.

Therefore, the time for the new program can be expressed as:T1 = 0.12t_divide(d/n) + 0.88t (Equation 1)Here, we have considered that the divide operations constitute 12% of the program.The overall speedup is given as:T0/T1 = 1.7Solving for n:n = d/T0 * T1/n

Substituting T0 and T1 in the above equation, we get:

n = d / (0.12d/n + 0.88T0/n) Multiplying the numerator and denominator of the right-hand side of the above equation with n, we get

:n = n^2d / (0.12d + 0.88T0)

Taking square root on both sides and simplifying the expression, we get:

n = √(1.7 * 100/12)

≈ 2.49

Therefore, n ≈ 2.49 (Rounded to two decimal places).Answer: n ≈ 2.49 (Rounded to two decimal places).

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Answer:

20cm

Step-by-step explanation:

4cm=1m

van=5m

4x5=20cm

Answer:

160

Step-by-step explanation:

the original price of the shirt is

      \(\frac{32}{20}.100=160\)

Answer:

a: 15

b: 36

Step-by-step explanation:

question A

The question provides you with 5x+3=17.

So first, subtract 3 from both sides to get 5x=14

Now since we know 5x=14, we can plug this into the expression 5x + 1.

14 + 1 is 15.

question B

the question gives you the equation 5 - 3y = 6. Next it wants you to find

(5 - 3y)². If we know 5 - 3y = 6, we can turn this equation, (5 - 3y)²

into this: 6² (because we can substitute the expression with 6)

6² is 36.

Answer: $4.8

Step-by-step explanation:

80*0.06=4.8

Answer:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Step-by-step explanation:

Given the vertex equation:

\(\displaystyle{f(x)=-2(x+2)^2-11}\)

First, apply the perfect square formula, expanding to standard form:

\(\displaystyle{f(x)=-2(x^2+4x+4)-11}\)

Expand -2 in:

\(\displaystyle{f(x)=-2x^2-8x-8-11}\)

Evaluate or simplify:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Hence,

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Answer:

\(\huge\boxed{\sf f(x) = -2x\² - 8x - 19}\)

Step-by-step explanation:

f(x) = -2(x + 2)² - 11

f(x) = -2[(x)² + 2(x)(2) + (2)²] - 11

f(x) = -2(x² + 4x + 4) - 11

Distribute

f(x) = -2x² - 8x - 8 - 11

\(\rule[225]{225}{2}\)

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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Answer:

your mom is gay laugh at that

ok

Step-by-step explanation: SAWP

Answer:

Step-by-step explanation:

5/14 + (-14/5) =

5/14 - 14/5 =

(25 - 196)/70 =

-171/70