correlations based on a subset of all possible scores may be different than those based on the whole range. this concept is called

Answer:

The answer will be A

hope this helps :)

Answer:

2

a=-3 , b=-7 , c=2

a=quadratic term

b=linear term

c=constant term

Answer: 1.5

Step-by-step explanation:

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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There are 45 handshakes that can be made between 10 people.

According to the given question.

Number of people invited in a party = 10

As we know that

The formula for the number of handshake possible with n people is given by

Number of handshakes = n(n -1)/2

This is because each of the people can shake with n -1 (they would not shake their own hand), and the handshake between two people in not counted twice.

Therefore, the number of hands each person shook

= 10(10 -1)/2

= 10(9)/2

= 45

Hence, there are 45 handshakes that can be made between 10 people.

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The answer is y(x) = C1*cos(x) + C2*sin(x) - cos(x) * ln|sec(x) + tan(x)|

Hi! I'd be happy to help you with your differential equation problem. First, let's find the complementary function, which represents the homogeneous solution.

Given the differential equation: y'' + y = csc(x)

The corresponding homogeneous equation is: y'' + y = 0

This is a second-order linear homogeneous differential equation with constant coefficients. To find the complementary function, we can use the characteristic equation:

r^2 + 1 = 0

Solving for r, we get r = ±i. This gives us a pair of complex conjugate roots, which means our complementary function will be of the form:

yc(x) = C1*cos(x) + C2*sin(x)

Now, to find the general solution of the non-homogeneous differential equation, we need to apply the method of variation of parameters. However, as the answer should be concise, I will provide the general solution without going into the detailed steps.

Therefore, general solution, combining the complementary function and particular solution, will be:

y(x) = C1*cos(x) + C2*sin(x) - cos(x) * ln|sec(x) + tan(x)|

Here, C1 and C2 are arbitrary constants.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

The expression, \(y^{-8}\), can be rewritten as positive exponents as 1/\(y^{8}\).

According to the question,

We have the following expression:

\(y^{-8}\)

Now, we know that if a power of a number is in negative and we have to convert the power into positive then the complete term is inversed and the term then has positive exponents.

(More to know: numbers with same base in multiplication will result in addition of exponents.)

For example, \(y^{-2}\) can be rewritten using positive exponents as 1/\(y^{2}\).

In the same, the given expression can be rewritten using positive exponents as:

1/\(y^{8}\)

Hence, the correct option is C (the third one).

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Answer:

Skewed left

Step-by-step explanation:

The outlier extends the curve making it skewed left is what i think

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}\)

so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7\)

To solve equations with fractions and variables in the denominator, we need to eliminate it by moving it to the other side. To do this, we multiply both sides of the equation by the term in the denominator. This will cancel out the fraction and leave us with a simpler equation to solve.

For example, suppose we have the equation (3 + x) / x = 2. To get rid of the fraction, we multiply both sides by x. This gives us: x * (3 + x) / x = x * 2. The x in the numerator and denominator cancel out, leaving us with:

3 + x = 2x. Now we can solve for x by subtracting x from both sides: 3 = x

This is the solution of the equation.

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The integral for solving dy/dx = sin(6x) when y(0) = -10 is y is (-1/6)cos(6x) - 10 + (1/6).

To set up an integral for solving dy/dx = sin(6x) when y(0) = -10, we can use the following steps:
1. Start with the given differential equation: dy/dx = sin(6x)
2. Rearrange the equation so that dy is on one side and dx is on the other: dy = sin(6x) dx
3. Integrate both sides of the equation:

∫dy = ∫sin(6x) dx
4. Use the formula for the integral of sin(ax) to find the integral of sin(6x):

∫sin(6x) dx = (-1/6)cos(6x) + C
5. Use the initial condition y(0) = -10 to solve for C: -10 = (-1/6)cos(6x0) + C => C = -10 + (1/6)
6. Substitute C back into the equation to get the general solution:

y = (-1/6)cos(6x) - 10 + (1/6)

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The equation of the line with slope 1/3 and passing through (6,14) is y = x/3+12.

According to the question,

We have the following information:

Slope of the line = 1/3

Points through which line is passing = (6,14)

Now, we know that following formula is used to find the equation of the line:

y-y' = m(x-x')

In this case, we have x' = 6 and y' = 14.

y-14 = 1/3(x-6)

y-14 = x/3-2

Adding 14 on both sides:

y = x/3-2+14

y = x/3+12

Hence, the equation of the line with slope 1/3 and passing through (6,14) is y = x/3+12.

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Answer:

c:8

Step-by-step explanation:

10/25 = r/20

25r = 200

25       25

r = 8

(A) The fireworks are shot into the air from the ground with an initial velocity of 128 feet per second. So an equation that represents the maximum height of the fireworks is h(t) = -16t^2 + 128t.

(B) If the firework explodes at the maximum height, then using the formula t = -b/2a the firework will take 4 s for the firework to explode.

In the given question, the fireworks are shot into the air from the ground with an initial velocity of 128 feet per second.

A) We have to write an equation that represents the maximum height of the fireworks.

h(t) = -16t^2 + 128t is the equation that represents the maximum height of the framework, as the height of the projectile motion is given by:

y(t) = V(y)t - gt^2/2

where g = 9.8 m/s^2 and V(y) = 128 feet per second.

Converting the value of g into feet/s^2 we get:

g = 32.15 m/s^2

Therefore putting the value of g and V in the equation we get

y(t) = -16ť^2 + 128t

or, h(t) = -16t^2 + 128t

B) If the firework explodes at the maximum height, then we have to find how long will it take for the firework to explode.

If the firework explodes at maximum height then the time to explode is

t = -b/2a

t = -128/-2*16

t = -128/-32

t = 4 s

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The complete question is:

A fireworks company plans a Labor Day display every year. The fireworks are shot into the air from the ground with an initial velocity of 128 feet per second.

A) Write an equation that represents the maximum height of the fireworks.

B) If the firework explodes at the maximum height, how long will it take for the firework to explode?

Answer:

I am pretty sure its 5

Step-by-step explanation:

The ratio of pencils to all the item on the desk is 1 : 10

According to Gary,

    Number of pencils on the desk = 4

    Number of markers on the desk = 12

   Number of crayons on the desk = 24

Total number of item son the desk = 4 + 12+ 24

                                                             = 40

The ratio of pencils to all the item is given as = (number of pencils)/(total number of items)

                                                                                = 4/40

                                                                                = 1/10

                       Which in ratio can be written as 1 : 10

Thus the ratio of pencils to all the item is 1 : 10  

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Answer:

3oz of pasta per serving

Step-by-step explanation:

Given parameters:

Number of oz of pastas used = 2oz

Quantity of serving  = \(\frac{2}{3}\)

Unknown:

Number of oz of pasta per serving  = ?

Solution:

To solve this rate problem use;

  Number of oz of pasta per serving = \(\frac{number of oz of pasta}{number of serving}\)  

 Number of oz of pasta per serving  = \(\frac{2}{\frac{2}{3} }\)  = 2 x \(\frac{3}{2}\)   = 3oz of pasta per serving

a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

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The exact value of cosθ in simplest form is cosθ = -2√3/7.

The answer is cosθ = -2√3/7.

Given that sinθ = -√13/7 and angle θ is in Quadrant III, we can determine that cosθ is negative in Quadrant III. Using the Pythagorean identity sin²θ + cos²θ = 1, we can solve for cosθ. Since sinθ = -√13/7, we have (-√13/7)² + cos²θ = 1. Simplifying, 13/49 + cos²θ = 1, and rearranging, we find cos²θ = 36/49. Taking the square root of both sides, we have cosθ = ±6/7. Since cosθ is negative in Quadrant III, the exact value of cosθ in simplest form is cosθ = -6/7. Simplifying further, we get cosθ = -2√3/7.

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Answer:

B

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = \(\frac{1}{4}\) × 2³ = \(\frac{1}{4}\) × 8 = 2 → B

Answer:

2

Step-by-step explanation:

f(3)=1/4×2^3

f(3)=1/4×8

f(3)=8/4=2

Answer:

Down below

Step-by-step explanation:

P = 2L + 2W

P = 108

L = 2W+12

108 = 2(2W+12) + 2W

108 = 4W + 24 + 2W

108 = 6W + 24

84 = 6W

14 = W

W = 14

If the width is 14, then the length is twice that plus 12, or 38

38 + 38 + 14 + 14 = 108

Step-by-step explanation:

When a number is grouped with the x in this problem it will move the graph right (if it is is minus) and it will

move it left ( if it is plus), therefore the original graph will be move to the left 5 units.

Question: find the slope of the line that passes through these two points. (1,3) (4,6)

Solution:

By definition, the slope of a line is given by the following equation:

where (X1,Y1) and (X2,Y2) are points on the line. In our case, we can take the points:

(X1,Y1) = (1,3)

(X2,Y2) = (4,6)

and replace them into the slope equation:

then, we can conclude that the correct answer is:

net cash flow - cash outflow = net cash inflow

Because u add net to the equation even if not equal or addiotion :0

To determine the appropriate warranty period for the Cook-Easy steamer, we need to use the concept of reliability engineering. The mean time before failure (MTBF) of 3535 months indicates that, on average, the steamer will operate without failure for 3535 months.

The standard deviation of 33 months tells us how much the actual failure times may deviate from the mean. To calculate the warranty period, we need to determine the failure rate of the steamer. This can be done by dividing 1 by the MTBF, which gives us a failure rate of 0.000282 failures per month.

To ensure that the manufacturer does not have more than 10% of the steamers returned, we need to calculate the proportion of steamers that will fail within the warranty period. This can be done using the normal distribution with a mean of 3535 months and a standard deviation of 33 months. We can use a z-score of 1.28 (corresponding to the 90th percentile) to find the corresponding failure time, which is 3600 months (rounded up).

Therefore, the manufacturer should offer a warranty period of 65 months (rounded up) to ensure that no more than 10% of the steamers are returned. This means that if the steamer fails within the warranty period, the manufacturer will repair or replace it free of charge.

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