Given P = (3,-4) and Q= (-2, -4) . Sketch PQ. Find the component form, magnitude, and direction of the vector.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

Step-by-step explanation:

-4x+7y=20

y=3x+15

sol

7y/7=20/7+4x7

y=2.857+4/7x

y=3x+15

Answer: \(y=\dfrac12 x\) .

Step-by-step explanation:

We know that \(a f (x)\)  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by \(\dfrac12\).

Then, the equation of the new function is \(y=\dfrac12 F(x)=\dfrac12 x\) .

i.e. \(y=\dfrac12 x\) .

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

Answer:

p= 9/22

Step-by-step explanation:

grouping of like terms

= -4-5 +8p-6p+20p

= -9 +22p

p =9/22

1) Considering the given data, let's turn that mixed number into a decimal form. 3 1/4 is the same as 3.25.

2) Now, we can plug all the data we were told.

Note that we had to round it off to the nearest cent as requested.

Answer:

2 hours and 2 minutes

Step-by-step explanation:

think about it this way 430 + 202 is 632 Wich is 4:30+ 2 hours and 2 minutes is 6:30

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

Step-by-step explanation:

Answer:

Pay for 3 and get one off

Step-by-step explanation:

Because you would get more for your bargain. A 20% coupon would be for one. but to buy 3 and get one free, that's a better deal.

(Pls give brainliest)

Answer:

$47

Step-by-step explanation:

First, we have to find 1% by taking

2.82 divided by 6 = $0.47

To find the original, we take

0.47 times 100 = $47

So, the original price of the sweatshirt is $47

The original price of the sweatshirt is, $47

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Suppose you paid $2.82 sales tax for a sweatshirt in state where the sales tax is 6%.

Let the original price of the sweatshirt is, x

Hence, We can formulate;

6% of x = 2.82

6x / 100 = 2.82

6x = 2.82 x 100

6x = 282

x = 282 / 6

x = $47

Thus, The original price of the sweatshirt is, $47

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Answer:

x = 2, y = 3

Step-by-step explanation:

5x – 4y = -2

2x + 4y = 16

Solve by elimination. (-4y and +4y gives 0)

7x = 14

x = 2

Substitute 2 in one of the equations in order to find y.

5(2) - 4y = -2

10 - 4y = -2

-4y = -12

y = 3

x = 2, y = 3

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 2, x = 3

Step-by-step explanation:

\(\mathrm{Given:}\begin{bmatrix}5x-4y=-2\\ 2x+4y=16\end{bmatrix}\)

\(\mathrm{Step\;by\;step\;solving}:\)

\(\mathrm{Isolate\;x\;for\;5x-4y=-2:\;x=\frac{-2+4y}{5}}\)

\(\mathrm{Then\;substitute\:}x=\frac{-2+4y}{5}\)

\(\begin{bmatrix}2\cdot \frac{-2+4y}{5}+4y=16\end{bmatrix}\)

\(\mathrm{Simplifying}: \begin{bmatrix}\frac{-4+28y}{5}=16\end{bmatrix}\)

\(\mathrm{Next\;Isolate\;y\;for\;\frac{-4+28y}{5}=16}:y=3\)

\(\mathrm{Since,\:}x=\frac{-2+4y}{5}\)\(\mathrm{and\;y\;=\;3}\)

\(\mathrm{Then, substitute\:}y=3\)

\(\mathrm{So,x=\frac{-2+4\cdot \:3}{5}}\)

\(\mathrm{Solving:\;x=2}\)

\(\mathrm{Hence,the\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=2,x=3\)

~Kavinsky~

Answer:To find the inverse, interchange the variables and solve for  

y

.

f

−

1

(

x

)

=

e

x

−

6

Step-by-step explanation:

Answer: x=y−6

Step-by-step explanation:

Step 1: Flip the equation.

x+6=y

Step 2: Add -6 to both sides.

x+6+−6=y+−6

x=y−6

Answer:

The quality

Step-by-step explanation:

A design has if it maintains all characteristics when it is rotated about a point. A point around which a shape can be rotated without changing any of its characteristics.

pls like

Answer:

Step-by-step explanation:

i assume you need x

-3+9x=-6

add 3 on both sides

9x=-6+3

9x=-3

x=-3/9=-1/3

Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Answer:

The roots of a function are the x-intercepts.

Step-by-step explanation:

ANSWER

EXPLANATION

The reef grows 0.18m every week

hence,

after 9weeks, it grows:

For the line segment joining P to Q where P is (0,0,0) and Q is (1,6,4), we can find the vector direction by subtracting P from Q:

Q - P = (1, 6, 4) - (0, 0, 0) = (1, 6, 4)

To find the vector equation, we can use the point-slope form:

r(t) = P + t(Q - P)

Substituting the values:

r(t) = (0, 0, 0) + t(1, 6, 4)

Simplifying:

r(t) = (t, 6t, 4t)

So the vector equation for the line segment joining P to Q is r(t) = (t, 6t, 4t), and the parametric equations are x(t) = t, y(t) = 6t, and z(t) = 4t.

For the line segment joining P to Q where P is (-4, 2, 0) and Q is (3, -1, 7), we can find the vector direction by subtracting P from Q:

Q - P = (3, -1, 7) - (-4, 2, 0) = (7, -3, 7)

To find the vector equation, we can use the point-slope form:

r(t) = P + t(Q - P)

Substituting the values:

r(t) = (-4, 2, 0) + t(7, -3, 7)

Simplifying:

r(t) = (-4 + 7t, 2 - 3t, 7t)

So the vector equation for the line segment joining P to Q is r(t) = (-4 + 7t, 2 - 3t, 7t), and the parametric equations are x(t) = -4 + 7t, y(t) = 2 - 3t, and z(t) = 7t.
For the first line segment joining P(0, 0, 0) to Q(1, 6, 4):

Vector equation:
r(t) = P + t(Q - P), where 0 ≤ t ≤ 1
r(t) = (0, 0, 0) + t((1, 6, 4) - (0, 0, 0))
r(t) = (t, 6t, 4t)

Parametric equations:
x(t) = t
y(t) = 6t
z(t) = 4t

For the second line segment joining P(-4, 2, 0) to Q(3, -1, 7):

Vector equation:
r(t) = P + t(Q - P), where 0 ≤ t ≤ 1
r(t) = (-4, 2, 0) + t((3, -1, 7) - (-4, 2, 0))
r(t) = (-4, 2, 0) + t(7, -3, 7)
r(t) = (-4+7t, 2-3t, 7t)

Parametric equations:
x(t) = -4 + 7t
y(t) = 2 - 3t
z(t) = 7t

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

To summarize: If points a and b are in a straight line, the distance traveled and the displacement will be the same. If points a and b are not in a straight line, the distance traveled will be greater than the displacement.

The distance traveled refers to the total length covered during the journey, regardless of the direction taken. On the other hand, displacement refers to the change in position from the starting point to the ending point, taking into account the direction of travel.

Neglecting the curvature of the corners implies that the path taken is a straight line. In this case, the distance traveled and the displacement will be the same if the points a and b are in a straight line.

If points a and b are not in a straight line, then the distance traveled will be greater than the displacement. This is because the distance traveled considers the entire path covered, while displacement only considers the change in position.

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On simplification, The answer of mathematical expression become 33.

According to the statement

we have to evaluate the expression and the simplify it.

So, For this purpose, we know that the

Mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

And to simplify the expression we use the BODMAS rule here.

BODMAS is used when there is more than one operation in a mathematical expression. There is a sequence of certain rules that need to be followed when using the BODMAS method.

So,The given expression is:

12 / 3 + 5 - 42

According to the BODMAS rule, firstly we have to divide the terms. So,

4+5-42

And then add the terms then

9-42

Then

33.

So, On simplification, The answer of mathematical expression become 33.

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Question:

Evaluate the expression.

12 / 3 + 5 - 42.

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(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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The simplified and rationalized expression is: (4√3)/x.

To simplify the expression and rationalize the denominator, we need to rewrite the expression with a rational denominator.

First, let's simplify the expression: √3 4/0.5x.

To simplify the square root term, we can write it as: √(3 * 4)/(0.5x).

Simplifying the numerator: √12/(0.5x).

Next, let's rationalize the denominator by multiplying both the numerator and the denominator by 2:

(√12 * 2)/((0.5x) * 2).

Simplifying further: (2√12)/(1x).

Finally, simplifying the square root term: (2√(4 * 3))/x.

Simplifying the square root: (2 * 2√3)/x.

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Answer:

blue marbles: 4/15

red marbles: 8/15

Step-by-step explanation:

add all the marbles together then put how many marbles in front as the numerator.

The first partial derivatives of the function z = x sin(xy) is x²cos(xy)

The term partial derivatives is defined as the rate of change of a function with respect to a variable and the derivatives are fundamental to the solution of problems in calculus and differential equations.

Here we have given that the function z = x sin(xy).

And as per the definition of partial derivative the value is calculated as,

Here we have given that

=> f(x, y) = x sin(xy)

And then here we need to find fx​ we treat y as constant and differentiate with respect to x, then we get

=> fx = sin(x y) + xy cos(xy)

Similarly now we have to find fy​ we treat x as constant and differentiate with respect to y

=> fy​ = x²cos(xy)

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This statement is True. The statement is known as the 68-95-99.7 rule, which applies to a normal distribution. According to this rule, approximately 99.7 percent of the sample means will fall within plus or minus two standard deviations of the process mean if the process is under control. This rule is derived from the properties of a normal distribution and provides a guideline for assessing the variability of a process.

In statistical terms, if a process is under control and follows a normal distribution, about 68 percent of the sample means will fall within one standard deviation of the process mean, around 95 percent will fall within two standard deviations, and roughly 99.7 percent will fall within three standard deviations. This rule assumes that the process is stable and does not have any significant shifts or outliers.

The 99.7 percent figure is derived from the empirical rule, which is based on the characteristics of a normal distribution. It is widely used in statistical process control and quality management to assess the performance and variability of a process. By monitoring the sample means and their deviation from the process mean, practitioners can identify if the process is in control or if there are any significant variations that need to be addressed.

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Answer: 24

Step-by-step explanation: