Y= ab + b a = 3.1 b = 12.9 r2 = .9886831276 r = -.9943254636 what is the line of best fit?

Answer:

,twenty five divided by five

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

1230

Step-by-step explanation:

60 times 13 you  get the answer of 780 then you add 450 to it and boom

The point at coordinates (4, 0) meters, directly in front of one of the speakers and perpendicular to the plane of the speakers, will experience maximum constructive interference.

In the scenario of two speakers, when a point is located directly in front of one of the speakers and perpendicular to the plane of the speakers, it is in what is known as the "forward direction". This means that the sound waves from both speakers are in phase at that point, leading to constructive interference.

Constructive interference occurs when the peaks of two sound waves align, resulting in a combined wave with a higher amplitude. Since the point is equidistant from the two speakers and directly in front of one of them, the sound waves from both speakers will reach the point in phase, reinforcing each other and producing maximum constructive interference.

As a result, at the point (4, 0) meters, there will be an increased sound intensity due to the constructive interference of the sound waves from the two speakers.

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Answer:

30 ft

Step-by-step explanation:

Answer:

122 ft

Step-by-step explanation:

The 100 ft and the 70 ft are two legs of a right triangle....their distance apart is the hypotenuse of this triangle ....use Pythagorean theorem

d^2 = 100^2 + 70 ^2

  d = 122 ft

The rate of increase in the volume of sphere when  diameter is 100 mm is 94285.71 mm³/s.

Let the radius of the sphere be 'r'.

The radius of a sphere is increasing at a rate of 3 mm/s .

Then,

dr / dt = 3 mm/s

Volume of sphere is given as;

v = 4/3 π r³

Then, the change is volume is;

dv / dt = (4/3)  π 3r² .dr/dt

         = 4πr² x 3

         = 12πr²

For radius = 100/2 mm = 50 mm

dv / dt  = 12 x 22/7 x 50²

dv / dt  = 94285.71 mm³/s

Thus, the rate of increase in the volume of the sphere when diameter is 100 mm is 94285.71 mm³/s.

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Answer:

True the product of a number and its reciprocal is equal to one.

Step-by-step explanation:

let the number be X

Now the reciprocal will be 1/X

And when we multiply them

X ×1 /X = 1

The coordinates of line segment are (2,2)

The section formula is the method used to get the coordinates of a point on a line segment that divides it into two segments.Lets’s imagine that the line segment marked with the coordinates A (\(x_{1}\),\(y_{1}\)) and B has a point P(x,y) that splits it (\(x_{2}\),\(y_{2}\)). To find the coordinates, we use the section formula, which is described mathematically as.

P(x, y) =(\(\frac{m.x_{2}+n.x_{1} }{m+n}\),\(\frac{m.y_{2}.n.y_{1} }{m+n}\))

Given that : the point on the directed line segment from (-6,-10) to (6,8) that partitions the segment into a ratio of 2 to 1

Consider two points P(\(x_{1} ,y_{1}\)) and Q(\(x_{2},y_{2}\)).Finding the coordinates of the point R that divides PQ in the ratio m: n is necessary because \(\frac{PR}{RQ}\) = \(\frac{m}{n}\).

Here , p = (-6, -10)

Q= (6, 8)

m :n = (2,1)

x = \(\frac{m.x{2} +n.x_{1} }{m+n}\)

y = \(\frac{m.y_{2}+n.y_{1} }{m+n}\)

by putting value we get,

x= 2 , y= 2

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Answer:

5400

Step-by-step explanation:

To form an equation we need to replace the words by letters, let's just use x and y for this.

Let hour = y and bacteria = x

1 hour = 3 bacteria

So this can be written as:

(a) y = 3x

Now we're told that there are 150 bacteria.

Bacteria = 150 and, x will be as well.

(b) x = 150

y = 3x = 3(150) = 450

y = 3x = 3(150) = 450 12y = 450 × 12 = 5400

y = 3x = 3(150) = 450 12y = 450 × 12 = 540013 hours = 5400 bacteria

Answer: 45.50

Step-by-step explanation:

You do 0.065*700=45.50 which is your answer you get 0.065 from converting the percentage to a decimal!

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

The first and second polygons are exactly the same, the only difference is that the second is bigger! If we look right the first polygon is 4 cm and the second is triple which means that we will have to triple the area of ​​the First polygon to discover the area of ​​the second polygon!

if the first polygon is 4 cm long and the second 12 cm means that the second polygon has three times the area of ​​the first polygon!

\((4 cm.3=12 cm)\\A-10 cm^{2}.3=30 cm^{2}\)

the second polygon has \(30 cm^{2}\)  of area

\(A=30 cm^{2}\)

The two expressions are equivalent.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

The two expressions are equivalent.

At x = 6

2x + 3    and     3 + 2x

2(6) + 3   and    3 + 2(6)

12 + 3     and     3 + 12

   15        and       15

Both are equal.

At x = 2

2x + 3    and     3 + 2x

2(2) + 3   and    3 + 2(2)

 4 + 3     and      3 + 4

    7        and        7

Both are equal.

Thus the two expressions are equivalent.

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Answer:

if both expressions have the same value after submitting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, 6 for each variable, x, in both expressions. The value on both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Step-by-step explanation:

Sample response. Wait, have you smiled today? its very important:)

Hello !

\((x {}^{a} ) {}^{b} = x {}^{a \times b} \)

\((b {}^{5} ) {}^{2} = b {}^{ 5\times 2} = b {}^{10} \)

→ Answer D

Answer:

D

Step-by-step explanation:

using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\) , then

\((b^5)^{2}\) = \(b^{5(2)}\) = \(b^{10}\)

A singular matrix is a square matrix that does not have an inverse. Inverses, on the other hand, are properties of only square matrices. As a result, this exercise appears to be in error.

We'll be unable to discover the inverse of a singular matrix. A singular matrix is a matrix with a determinant of zero. A singular matrix does not have an inverse. The determinant of a 2 x 2 matrix can be found using the formula ad - bc. This formula may be used to verify whether or not a matrix is singular. A matrix is singular if and only if its determinant is zero. A matrix with a determinant of zero is said to be linearly dependent, and it may have many solutions. If a matrix is singular, it means that the matrix's rows are linearly dependent on one another, and one row can be generated by multiplying another by a scalar. The inverse of a matrix is defined as the matrix that, when multiplied by the original matrix, produces the identity matrix. The inverse of a matrix is only defined for square matrices. If a matrix is not square, it is referred to as a rectangular matrix. The inverse of a matrix A, denoted by A-1, exists only if A is non-singular, i.e., determinant of A is not equal to zero. In this exercise, we are given two singular matrices, A and B. We cannot find the inverse of these matrices. When a matrix is singular, it means that the matrix's rows are linearly dependent on one another, and one row can be generated by multiplying another by a scalar. Therefore, these matrices do not have an inverse. To find the values of x and y, we can use the fact that the matrix is singular and equate the determinant to zero.

For matrix A, |A| = (-10*2)-(6*-5) = 20+30 = 50 ≠ 0.

Therefore, we cannot find the values of x and y for matrix A.

For matrix B, |B| = (2*-29)-(-20*3) = -58 ≠ 0.

Therefore, we can find the values of x and y for matrix B.

(4 -2 -8 x) x = (-2y -32 16 4y) y= We equate the determinant of matrix B to zero to find the values of x and y. |B| = -58 = (4*-2*4y) - (-8x*16) - (-8x*-2y) = -128y + 128x, or 64y - 64x = 29. y = \(\frac{(29+64x)}{64}\). Therefore, the solution is y = \(\frac{(29+64x)}{64}\)

Singular matrices do not have an inverse. Inverses only exist for square matrices that are non-singular. To find the values of x and y for a singular matrix, we can equate the determinant to zero and solve for x and y.

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The value of the double integral is -6.

To evaluate the double integral of the function f(x, y) = 4xy + 1 over the region R defined by R = (x, y) : -2 ≤ x ≤ 3, 1 ≤ y ≤ 2, we can express the integral as:

∫∫_R (4xy + 1) dA

To evaluate this integral, we'll integrate with respect to \(y\) first and then with respect to x.

First, let's integrate with respect to y. Since the limits of integration for (y) are fixed from 1 to 2, the integral becomes:

∫_{-2}^3 (∫_1^2 (4xy + 1) dy) dx

Next, let's evaluate the inner integral with respect to \(y\):

∫_{-2}^3 [2xy + y]_1^2 dx

Applying the limits of integration, we have:

∫_{-2}^3 [(4x + 2) + 2x + 1] dx

Simplifying the expression:

∫_{-2}^3 (6x + 3) dx

Integrating with respect to (x), we get:

[{6x²/2} + 3x]_{-2}^3 \]

Applying the limits of integration, we have:

[[(9 + 9) - (12 + 6)]

Simplifying further:

18 - 18 - 6 = -6

Therefore, the value of the double integral is -6.

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answer:

y= -5x -2

hope it helps

The probability that the couple will have more than 2 girls is 1/2.

Here, we are given that a couple is planning to have 3 children.

Let us list down all the possible combination of outcomes-

GGG, GGB, GBB, BBB

Here G stands for a girl and B for a boy.

Thus, there are a total of 4 outcomes. We need to find the probability that the number of girls is greater than or equal to 2.

Out of the listed outcomes, 2 combinations- GGG and GGB have number of girls ≥ 2.

We know that probability = Number of favorable outcomes/ total number of outcomes

P(x ≥ 2) = 2/4

= 1/2

Thus, the probability that the couple will have more than 2 girls is 1/2.

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SOLUTION

Write out the equation

The first step in solving this equation is to multiply both sides by 2 this is called

MULTIPLICATION PROPERTY OF EQUALITY

Step1; MUltiply both sides by 2

The next step in solving this equation is to add 7 to both sides of

the equation this is called ADDITION PROPERTY OF EQUALITY

step2: Add 7 to both sides of the equation

Hence the solution to the equation is y=-15

The steps are

Step1; MULTIPLICATION PROPERTY OF EQUALITY

Step2: SIMPLIFYING

Step3: ADDITION PROPERTY OF EQUALITY

Step4: SIMPLIFYING

The correct formula for finding the present value of an investment is given by option D) PV = FV x 1/(1 + r)^n.

The present value (PV) of an investment is the current value of future cash flows discounted at a specified rate. The formula for calculating the present value takes into account the future value (FV) of the investment, the interest rate (r), and the number of periods (n).

Option D) PV = FV x 1/(1 + r)^n represents the correct formula for finding the present value. It incorporates the concept of discounting future cash flows by dividing the future value by (1 + r)^n. This adjustment accounts for the time value of money, where the value of money decreases over time.

In contrast, options A), B), and C) do not accurately represent the present value formula and may lead to incorrect calculations.

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Answer: ?

Step-by-step explanation:

Jerry worked for 4.3 hours to install the equipment based on a rate of $20 per hour.

This problem can be solved using a linear equation.

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1.

Let's say the number of hours Jerry worked to install the equipment is "h".

According to the problem, Jerry charges $50 to schedule a repair visit, which means that the remaining amount after deducting the scheduling fee from the total bill ($136) is used to pay for the equipment installation.

So, the amount Jerry earned from the equipment installation is:

$136 - $50 (scheduling fee) = $86

We know that Jerry charges $20 per hour to install equipment. Therefore, the equation we can set up is:

$86 = $20 × h

Solving for "h", we get:

h = $86 / $20 = 4.3 hours (rounded to one decimal place)

Therefore, Jerry worked for 4.3 hours to install the equipment.

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Answer: See explanation

Step-by-step explanation:

Since Jack receives 55 rewards points just for signing up and earns 12.5 points for each visit to the movie theater and needs at least 205 points for a free movie ticket.

The inequality which can be used to determine v, the number of visits Jack can make to earn his first free movie ticket will be:

55 + 12.5v ≥ 205

12.5v ≥ 205 - 55

12.5v ≥ 150

v ≥ 150/12.5

v ≥ 12

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

Answer:

slope = difference in y / difference in x

slope = 6/3 = 2 <===

(B) 108 minutes is Ryan's time.

So,

Ryan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.

Ryan's time:

Therefore, (B) 108 minutes is Ryan's time.

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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.

a. 480 minutes

b. 180 minutes

c. 8 minutes

d. 3 minutes

Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x