The shear strength of each of ten test spot welds is determined, yielding the following data (psi). 362 372 409 389 415 358 371 375 389 367 (a) Assuming that shear strength is normally distributed, es

Answer:

What are you asking?

Step-by-step explanation:

Have a great day!

Answer:

-21+-22+-23=-66

-21,-22,-23

Answer:

$24

Step-by-step explanation:

$36 divided by 3 = 12

12 x 2 = 24

24 = 2/3 of 36

Answer:

-1/2

Step-by-step explanation:

The slope of a line is given by

m= (y2-y1)/(x2-x1)

   = (3-6)/( 4 - -2)

    = -3 / (4+2)

    = -3 /6

   = -1/2

Answer:

0

Step-by-step explanation:|-2 - (-1)| =

|-2 + 1| =

| -1 | =

1.

So, we're one unit away from y = -1.  If we're one unit ABOVE y=-1, we need to move the point to be one unit BELOW it instead.  And if we're one unit BELOW y = -1, we need to move the point to be one unit ABOVE it.  

Since the point has a y-coordinate of -2, its BELOW the line y = -1, by 1 unit.  Now we change the y-coordinate so its instead ABOVE y = -1, by 1 unit:

(y-coordinate of reflection line) + (number of units above that line) =

-1 + 1 =

0.

Our new y-coordinate is 0, so the point is now at

(7, 0).

A more mechanical, but less intuitive approach is as follows:  

Let L = the y-coordinate of the line, and

P = the y-coordinate of the point.

The new y-coordinate is 2L - P.

In this case, L = -1, and P = -2.  So we have

2L - P =

2(-1) - (-2) =

-2 -(-2) =

0.

The image of the given coordinate point after rotation is (7, -2).

Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a center of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.

The given coordinate point is (2, 7).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

So, the image point of (2,7) is (7, -2)

Therefore, the image of the given coordinate point is (7, -2).

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Answer:

Angle K is 55 degrees

Step-by-step explanation:

Angle K corresponds to Angle R

The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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The standard deviation of the population is approximately 11.8 ounces.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The formula to find the standard deviation is given

σ = √( Σ(x - μ)² / N )

where  μ is the mean.

μ = (94 + 113 + 93 + 123 + 93 + 102) / 6 = 100

Next, we can calculate the deviations of each value from the mean:

94 - 100 = -6

113 - 100 = 13

93 - 100 = -7

123 - 100 = 23

93 - 100 = -7

102 - 100 = 2

σ = √( -6)²+( 13)²+( -7)²+( 23)² +( -7)²+( 2)²/ 6 )

=√36+169+49+529+49+4/6

=√836/6=11.8

Hence, the standard deviation of the population is approximately 11.8 ounces.

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The standard deviation for a chi square distribution for given degree of freedom is 7.0711.

The chi-square distribution is parameterized by the number of degrees of freedom (df). As the number of degrees of freedom increases, the shape of the distribution becomes more symmetrical and approaches a normal distribution.

The standard deviation (σ) of a chi-square distribution with k degrees of freedom is given by the formula:

σ = sqrt(2k)

Therefore, for a chi-square distribution with 25 degrees of freedom:

σ = sqrt(2(25)) = sqrt(50) ≈ 7.0711

Rounding this to four decimal places gives a standard deviation of approximately 7.0711.

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Answer:

Bzbsjshhd

Xbdbdhs

Step-by-step explanation:

Answer:

0.99

Step-by-step explanation:

         00.99

     12 11.88

          − 118

               108

               108

                   0

Answer:

1/4

Step-by-step explanation:

In probabilty,

"AND" means "multiplication"

"OR" means "addition"

Here, we want probability of "rolling number less than 4" "AND" "rolling number greater than 3". Thus, we find the inidvidual probabilities and then "MULTIPLY" (since "AND").

In a 6-sided die, the numbers are 1,2,3,4,5, and 6.

Thus,

Probability of rolling a number less than 4 = 3/6 = 1/2 (the numbers are 1,2, and 3)

and

Probability of rolling a number greater than 3 = 3/6 = 1/2 (the numbers are 4,5, and 6)

Thus:

P(less than 4) and P(greater than 3) = 1/2 * 1/2 = 1/4

The probability is 1/4

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The following: (a) λ² + (1/4) = 0. (b)  λ = ±√(-1/4). (c)\(e^{j\frac{\pi}{4n}} \quad \text{and} \quad e^{-j\frac{\pi}{4n}}\). (d) Homogeneous response:\(y_h[n] = C_1 \times e^{\frac{j\pi}{4n}} + C_2 \times e^{-\frac{j\pi}{4n}}\), (e) \(x[n] = (1/2)^n \times u[n]\) as the input, (f) input x[n] (g) \(y[n] = y_h[n] + y_p[n].\)

(a) The characteristic polynomial is obtained by assuming a solution of the form \(y[n] = y_h[n] + y_p[n].\) and substituting it into the difference equation.

(b) To find the characteristic roots, we solve the characteristic polynomial for λ. The roots will be complex conjugates with a negative real part, as indicated by the presence of the square root of a negative number.

(c) The characteristic modes arise from the complex roots and are of the form e^(jωn) and e^(-jωn), where ω is the angle of the roots in polar form.

(d) The homogeneous response is the general solution to the difference equation with the initial conditions set to zero, and it contains the characteristic modes.

(e) The impulse response is found by setting the initial conditions y[-1] and y[-2] to zero and solving the difference equation with x[n] = (1/2)ⁿ × u[n] as the input.

(f) The particular response is the solution to the difference equation with the given input x[n], which can be found using appropriate methods like undetermined coefficients or convolution.

(g) The total response is the sum of the homogeneous and particular responses, which gives the complete output of the system for the given input and initial conditions.

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The angle CAB of the triangle with the given vertices is approximately 137.86 degrees.

To find the angles of the triangle with the given vertices, we can use the dot product and inverse cosine functions.

First, we calculate the vectors AB and AC by subtracting the coordinates of point A from B and C, respectively.

\(AB = (3 - 1, -4 - 0, 0 - (-1)) = (2, -4, 1)\\AC = (1 - 1, 3 - 0, 4 - (-1)) = (0, 3, 5)\)
Next, we calculate the dot product of AB and AC using the formula AB · \(AC = (ABx)(ACx) + (ABy)(ACy) + (ABz)(ACz).\\AB · AC \\= (2)(0) + (-4)(3) + (1)(5) \\= 0 - 12 + 5 \\= -7\)

Then, we calculate the magnitudes of vectors AB and AC using the formula

\(||AB|| = sqrt(ABx^2 + ABy^2 + ABz^2) and ||AC|| \\= sqrt(ACx^2 + ACy^2 + ACz^2).\)

\(||AB|| = sqrt(2^2 + (-4)^2 + 1^2) = sqrt(4 + 16 + 1) = sqrt(21)\\||AC|| = sqrt(0^2 + 3^2 + 5^2) = sqrt(0 + 9 + 25) = sqrt(34)\)

Finally, we can calculate the angle CAB using the inverse cosine function, acos, with the formula \(acos(AB · AC / (||AB|| * ||AC||)).\)

\(CAB = acos(-7 / (sqrt(21) * sqrt(34)))\)

Calculating this angle gives us \(CAB ≈ 137.86\) degrees.

Therefore, the angle CAB of the triangle with the given vertices is approximately 137.86 degrees.

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The equation of line passing through the point (-2,5) that is perpendicular to the line 6x+2y=0 is y = 3x + 11.

To find the equation of a line perpendicular to another line, we need to use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

First, let's determine the slope of the given line. The equation of the given line is 6x + 2y = 0. We can rewrite it in the slope-intercept form, y = mx + b, by solving for y:
2y = -6x
y = -3x
The slope of this line is -3.

Since the line we are looking for is perpendicular, its slope will be the negative reciprocal of -3, which is 1/3.

Now, we have the slope and a point (-2,5) on the line we want to find the equation for. We can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values, we get:
y - 5 = (1/3)(x - (-2))
y - 5 = (1/3)(x + 2)
y - 5 = (1/3)x + 2/3
y = (1/3)x + 2/3 + 5
y = (1/3)x + 2/3 + 15/3
y = (1/3)x + 17/3
Multiplying through by 3 to get rid of the fraction, we have:
3y = x + 17
Rearranging, we get the final equation:
x - 3y + 17 = 0

So, the equation of the line passing through the point (-2,5) that is perpendicular to the line 6x + 2y = 0 is x - 3y + 17 = 0.

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Answer: 80 in

Step-by-step explanation:

Answer:

64 in

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Vertical angles are equal

5x-9 = 8x-30

Subtract 5x from each side

5x-9-5x= 8x-30-5x

-9 = 3x-30

Add 30 to each side

-9+30 = 3x-30+30

21 = 3x

Divide by 3

21/3 = 3x/3

7 = x

Answer:

Coefficents of 2-x: 2, -1.

The answer is 2 or -1, but I don't have choices.

Answer:

-1

Step-by-step explanation:

The coefficient is the number in front of the variable along with the sign

2 + -1x

The coefficient is -1

Answer:

( 8 , 15 , 24 )

option d is the correct answer

Answer:

\frac{4a^2p^2r^2tio^3n}{5}

\(\frac{4a^2p^2r^2tio^3n}{5}\\\)

Answer:

80%

Step-by-step explanation:

Given:

10 continental united states assignments

18 south american assignments

20 european union assignments

14 asian assignments

All possible outcome =10+18+20+14 =62

Required outcome is 10 or 14

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

A

Step-by-step explanation:

give me da 20 pointssss

Answer:

What on my screen the pic is blurry?

Step-by-step explanation:

The missing expression that will make the equation valid is (-16x). Thus, the correct equation is d(5-8x²)³ = 3(5-8x²)²(-16x) dx.

To find the missing expression, we can use the chain rule of differentiation. The chain rule states that if we have a function raised to a power, such as (5-8x²)³, we need to differentiate the function and multiply it by the derivative of the exponent.

The derivative of (5-8x²) with respect to x is -16x.

Therefore, when differentiating (5-8x²)³ with respect to x, we need to multiply it by the derivative of the exponent, which is -16x. This gives us d(5-8x²)³ = 3(5-8x²)²(-16x) dx.

By substituting (-16x) into the equation, we ensure that the equation is valid and represents the correct derivative.

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Answer:

the answer is C and D because perimeter is the sum of all sides of a figure

Answer:

Yes

Step-by-step explanation:

Because a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The period of the function is 1.57 s.

The amplitude of the function is 6.

The equation of the midline, y = 6 sin 4x + 0.

The general form of a sinusoidal function is y = A sin(Bx - C) + D,

where:

For the given function y = 6 sin 4x, we can see that:

A = 6 (the amplitude is the absolute value of the coefficient of the sine function)

B = 4 (the coefficient of x inside the sine function determines the period)

C = 0 (there is no horizontal shift)

D = 0 (there is no vertical shift, so the midline is the x-axis)

Therefore, the period T is given by:

T = 2π/B = 2π/4 = π/2 = 1.57 s

The midline is the x-axis, so its equation is y = 0.

The amplitude is A = 6.

Therefore, we can write the equation of the function in the general form as:

y = 6 sin 4x + 0

or

y = 6 sin(4x)

Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.

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Using points of intersection, The resulting sketch should look like a parabolic arch opening upwards with its vertex at (-3, 9) and endpoints at (5, 45) and (-3, 9), with the region below the x axis for x < -3 and above the x axis for x > 5.

The locations on the coordinate plane where two curves meet or intersect are known as the points of intersection.

By locating the places where the two curves overlap and then sketching the area in between, the area bounded by the curves y = |9x| and y = x2 - 10 may be determined.

First, let's find the points of intersection:

y = |9x| = x² - 10

If 9x >= 0, then |9x| = 9x, and we have:

9x = x² - 10

x² - 9x - 10 = 0

This is a quadratic equation and can be solved using the quadratic formula:

x = (9 ± √(81 + 40)) / 2 = (9 ± √(121)) / 2 = (9 ± 11) / 2 = 5 or -3

If 9x < 0, then |9x| = -9x, and we have:

-9x = x² - 10

x² + 9x - 10 = 0

This is a quadratic equation as well and can be solved using the quadratic formula:

x = (-9 ± √(81 - 40)) / 2 = (-9 ± √(41)) / 2 = (-9 ± 6.4) / 2 = -3 or -1.2

So the two curves intersect at the points (5, 45) and (-3, 9).

Next, we can sketch the region enclosed by the curves:

For x < -3, y = |9x| is below y = x² - 10, so the region is below the x axis.

For -3 <= x <= 5, y = x² - 10 is above y = |9x|, so the region is above the x axis.

For x > 5, y = |9x| is above y = x² - 10, so the region is above the x axis.

The resulting sketch should look like a parabolic arch opening upwards with its vertex at (-3, 9) and endpoints at (5, 45) and (-3, 9), with the region below the x axis for x < -3 and above the x axis for x > 5.

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Answer:

please see photo attached for detailed analysis.