) the probability that a certain make of car will need repairs in the first six months is 31%. a dealer sells four such cars. what is the probability that all four of them will require repairs in the first six months?

i think it is a but i am sorry if it wrong

Step-by-step explanation:

Answer:

Graph

Step-by-step explanation:

If point P has coordinates (x1, y1) and point Q has coordinates (x2, y2), and PQ is reflected across the X-axis, the coordinates of the reflected points P' and Q' can be obtained by flipping the y-coordinates of P and Q and keeping the x-coordinates the same.

Therefore, the coordinates of P' will be (x1, -y1) and the coordinates of Q' will be (x2, -y2).

So, if you want to find the coordinates of the reflected line segment P'Q', you just need to take the coordinates of P' and Q' and connect them with a line. The resulting line segment will have endpoints (x1, -y1) and (x2, -y2).

Note that the length of the reflected line segment P'Q' will be the same as the length of the original line segment PQ, but the orientation of the reflected line segment will be reversed with respect to the X-axis.

I want to try but I am tooooo much bad in math

Answer:

goto chrome and search spankbang

Step-by-step explanation:

thet the answer

The student used 30.0 mL of 3.00 M HCl to make the 50.0 mL sample of 1.80 M HCl.

To find the volume of 3.00 M HCl needed to make a 50.0 mL sample of 1.80 M HCl, we can use the equation:

M₁V₁ = M₂V₂

Where M₁ is the initial concentration, V₁ is the initial volume, M₂ is the final concentration, and V₂ is the final volume.

We are given M₁ = 3.00 M, M₂ = 1.80 M, and V₂ = 50.0 mL. We can rearrange the equation to solve for V₁:

V₁ = (M₂V₂) / M₁

V₁ = (1.80 M * 50.0 mL) / 3.00 M

V₁ = 30.0 mL

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Answer:

Since PQRS is a rectangle and the area of PQRS is 84 cm², then:

PQ x PS = 84

Since PQRS is a rectangle, PS = QR, so we can substitute PS for QR:

PQ x QR = 84

We also know that XY is parallel to PS, so triangle RXY is similar to triangle RQS:

RY/QS = XY/PS

9/QS = XY/PS

QS = 9XY/PS

The area of PXYS is 21 cm², so:

XY x PS = 21

Substitute QS for 9XY/PS:

XY x (9XY/QS) = 21

Simplify:

9XY²/QS = 21

XY² = 21QS/9

Substitute QS for PQ, since PQ = QS:

XY² = 21PQ/9

Substitute 84/PQ for PQ in the above equation:

XY² = 21(84/PQ)/9

XY² = 196/PQ

Now we can substitute PQ for 84/XY in the equation PQ x QR = 84:

(84/XY) x QR = 84

QR = XY

Substitute QR for PS in the equation XY x PS = 21:

XY² = 21/XY

Multiply both sides by XY:

XY³ = 21

XY = ∛21

Since RY = 9 cm, we can find QS:

9/QS = ∛21/PS

QS = 9PS/∛21

Now we can substitute QS and XY into the equation XY x PS = 21 and solve for PS:

(∛21) x PS = 21/((9/∛21))

PS = (21/((9/∛21)))/∛21

PS = 7∛21

Finally, we can solve for a and b:

a = PQ - XY = (84/PQ) - (∛21)

Substitute PQ for 84/XY:

a = (XY²/84) - ∛21

Substitute XY for ∛21:

a = (∛21²/84) - ∛21

a = 1/4 - ∛21

b = RY - QS = 9 - (9PS/∛21)

Substitute PS for 7∛21:

b = 9 - (9(7∛21)/∛21)

b = -54/∛21 + 9∛21

Step-by-step explanation:

Given that <1 and <2 and <2 and <3 are supplements, the Congruent Supplements Theorem shows that <1 and <3 are congruent.

The Congruent Supplements Theorem establishes that two angles that are thought of as supplements to a particular angle must also be congruent.

Congruence exists between two angles when they are supplements of the same angle, often known as congruent angles.

Two cases—one with angles supplementary to the same angle and the other with angles supplementary to congruent angles—must be demonstrated in order to demonstrate the Congruent Supplements Theorem. Additionally, two examples are needed for the Congruent Complements Theorem proof.

Filling in the chart would therefore be:

<1 and <2 are supplementary                                               <1 = <3

<2 and <3 are supplementary            Congruent Supplements Theorem

The complete question is:

Drag each label to the correct location on the chart. Not all labels will be used. Given: and are supplementary and are supplementary Prove: The two linear pairs and one supplementary angle with values of 1, 2, and 3 Statements

Reasons 1. and are supplementary 1. given 2. and are supplementary 2. given 3. 3. congruent supplements theorem Complete the flow chart to show the proof. vertical angles theorem given congruent complements theorem congruent supplements theorem

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Answer:

x=3, y=5

Step-by-step explanation:

Answer:

Option A is correct.

Step-by-step explanation:

Given

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

substituting the values m = 1/4 and the point (4, -8)

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-8\right)=\frac{1}{4}\left(x-4\right)\)

\(y+8=\frac{1}{4}\left(x-4\right)\)

Subtract 8 from both sides

\(y+8-8=\frac{1}{4}\left(x-4\right)-8\)

\(y=\frac{1}{4}x-1-8\)

\(y=\frac{1}{4}x-9\)

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

\(y=\frac{1}{4}x-9\)

\(x=4y+36\)

\(x - 4y = 36\)

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

\(x - 4y = 36\)

Hence, option A is correct.

Answer: Yes, \(15\ m^2\)

Step-by-step explanation:

Given

The surface area of the house \(A=500\ m^2\)

Ayden aims to finish 80% of the painting

The actual painting done by him is \(A_c=415\ m^2\)

Now 80% of the total is

\(\Rightarrow A'=500\times \dfrac{80}{100}=400\ m^2\)

Clearly, actual painting done is more than 80% of the painting

\(\therefore\) Ayden meet his goal

\(\Rightarrow A_c-A'=415-400=15\ m^2\)

He painted \(15\ m^2\) more than his target

An invertible matrix may have fewer than n linearly independent eigen vectors, making it not diagonalizable. The correct answer is A. The statement is false.

To prove let's consider the definitions and properties of invertible matrices and diagonalizable matrices.

An invertible matrix A is a square matrix that has an inverse, denoted as \(A^(-1)\). A matrix is invertible if and only if its determinant is nonzero. In other words, A is invertible if det(A) ≠ 0.

A diagonalizable matrix is a square matrix A that can be expressed as A = PD\(P^(-1)\), where P is an invertible matrix and D is a diagonal matrix. In this diagonal representation, the diagonal entries of D correspond to the eigenvalues of A.

Now, to determine whether the statement is true or false, we need to consider the relationship between invertible matrices and diagonalizable matrices.

It is true that a diagonalizable matrix is invertible. This is because if A =\(PDP^{-1}\), then\(A^(-1) = (PDP^(-1))^(-1) = PD^(-1)P^(-1),\)and since \(D^{-1}\) is also a diagonal matrix, \(A^{-1}\) is invertible.

However, the converse is not necessarily true. An invertible matrix may not be diagonalizable. This happens when an eigenvalue of the matrix has a geometric multiplicity (the number of linearly independent eigenvectors associated with it) that is less than its algebraic multiplicity (the multiplicity of the eigenvalue as a root of the characteristic polynomial).

For example, consider the matrix A = [1 1; 0 1]. The eigen value of A is 1, and it has only one linearly independent eigenvector, namely [1; 0]. Since the geometric multiplicity is 1 and the algebraic multiplicity is 2, A is not diagonalizable despite being invertible.

In general, for an invertible matrix A, it may or may not have a full set of n linearly independent eigenvectors, making it not necessarily diagonalizable. Therefore, option A is the correct answer: The statement is false.

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Answer:

(2x−7)(x+5) is the answer but I'm not sure how to type every working out I done sorry

The distance when the mass is 5kg is 15cm.

When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.

The equation that is used to represent direct variation is:

d = km

Where:

The first step is to determine the value of k:

12 = 4k

k = 12 / 4

k = 3

d = 3 x 5 = 15cm

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During the 24-hour period between 4pm on 12/26/2015 and 4pm on 12/27/2015, the dew point temperature changed substantially. The water vapor content and relative humidity were also affected by this change.

Based on the information provided, it is indicated that the dew point temperature changed substantially during the 24-hour period. The dew point temperature is the temperature at which air becomes saturated, causing water vapor to condense into dew or fog. A substantial change in the dew point temperature suggests a significant shift in the moisture content of the air.

As a result, the water vapor content and relative humidity are also affected. Water vapor content refers to the amount of water vapor present in the air, while relative humidity measures the percentage of moisture in the air compared to its maximum capacity at a given temperature. When the dew point temperature changes substantially, it implies that the air's capacity to hold water vapor has also changed, thus influencing the relative humidity.

Therefore, the main conclusion is that the change in the dew point temperature had a substantial impact on both the water vapor content and the relative humidity during the entire 24-hour period.

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Compound interest formula

where

• A: final amount, in dollars

• P: principal, in dollars

• r: interest rate, as a decimal

• n: number of times interest is compounded per year

• t: time, in years

Substituting with P = $20,000, r = 0.05 (=5/100), n = 4 (quarterly means that the interest is compounded 4 times per year), and t = 3/4 years, we get:

The singular points of a differential equation are the points where the coefficients of the highest and/or second-highest order derivative are zero.

These singular points usually play a vital role in the analysis of the behavior of solutions around them.

Now, let's solve the given differential equations one by one:

1. The given differential equation is `(t² - t - 30)x'' + (t + 5)x' - (t - 6)x = 0`.

We can write the equation in the form of a polynomial as follows: p(t)x'' + q(t)x' + r(t)x = 0,

`where `p(t) = t² - t - 30`, `q(t) = t + 5`, and `r(t) = -(t - 6)`.

The singular points are the values of `t` that make `p(t) = 0`.We can factorize `p(t)` as follows: `p(t) = (t - 6)(t + 5)`.

Therefore, the singular points are `t = 6` and `t = -5`.

So, the answer is "The singular points are t = 6,-5.

2. The given differential equation is `ln(x – 6) y' + sin(6x)y - ey = 0`.

We can write the equation in the form of a polynomial as follows: `p(x)y' + q(x)y = r(x)`where `p(x) = ln(x - 6)`, `q(x) = sin(6x)`, and `r(x) = e^(y)`.

The singular points are the values of `x` that make `p(x) = 0`.For `ln(x - 6) = 0`, we get `x = 7`.

So, the singular point is `x = 7`.

Therefore, the answer is "The singular points are x = 7."

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Answer:

30-60-90

Step-by-step explanation:

It is still the same no matter how it is rotated or translated.

Answer:

Step-by-step explanation:

In the diagram BC=9. Find ABOUT and AC

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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The true statement is (c). The coefficients of x^n and y^n are both equal

From the question, we have the following parameters that can be used in our computation:

(x + y)^n

When the above expression is expanded, we have

(x + y)^n = x^n + ..... + y^n

See that the coefficients of x^n and y^n is 1

This means that they have equal coefficient of 1

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The maximum number of toys they can purchase is 16.

The first step is to determine the total amount of money Chloe and Charlie has.

Amount Charlie has = 1/3 x 30 = $10

Total amount of money they have = $30 + $10 = $40

This equation can be used to represent the total number of items they can purchase given the money they have

$40 = $7 + $2x

Where x represents the maximum number of toys they can purchase

In order to determine the value of x, combine similar terms together

$40 - $7 = $2x

$33 = 2x

Divide both sides by 2

x = 33/2 = 16.5

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Answer:

the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb

Step-by-step explanation:

400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

Given that,

Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.

We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

What is a graph?

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.

Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

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the equation of the line can be written in slope-intercept form as

To get the equation of the line, solve for the value of m and b.

Based on the given plot, the first point (lower point) has the coordinates (-3,-3) while the second point (higher point) has the coordinates (3, 5). We need these to solve for the slope of the line. The slope of the line can be computed using the equation

Substitute the values on the equation above based on the coordinates of the two points and compute

What's left to solve is the value of b. To solve this, use one of the coordinates and input the values on the slope-intercept form of the equation of the line along with the value of m, In this case, I will be using (3, 5). We have

We now have the values for m and b. Just put it on the slope-intercept line form to represent the equation of the line

Answer: y = (4/3)x + 1

Answer:

a) \(\frac{2\pi }{3}\)

b) 330

Work:

a) To convert degrees to radians you multiply by \(\frac{\pi }{180}\)

\(\frac{120}{1}\) x \(\frac{\pi }{180}\)

= \(\frac{6}{1}\) x \(\frac{\pi }{9}\)

= \(\frac{2\pi }{3}\)

b) To convert radians to degrees you multiply by \(\frac{180}{\pi }\)

\(\frac{11\pi }{6}\) x \(\frac{180}{\pi }\)

= \(\frac{11}{1}\) x \(\frac{30}{1}\)

= 330

Average acceleration is defined as

\(a_{\rm ave} = \dfrac{\Delta v}{\Delta t}\)

Instantaneous acceleration is obtained by letting \(\Delta t\to0\).

\(a = \displaystyle \lim_{\Delta t \to 0} \frac{\Delta v}{\Delta t}\)

As velocity is a function \(v(t)\) of time \(t\), we have for some time interval \(\Delta t\),

\(\Delta v = v(t+\Delta t) - v(t)\)

so that

\(a = \displaystyle \lim_{\Delta t \to 0} \frac{v(t+\Delta t) - v(t)}{\Delta t}\)

and the right side is exactly the derivative of \(v(t)\).

The function h is given by h(x) = log2(x^2). The positive value of x for which h(x) = 3 is 2√2.

To solve this, we can start by setting h(x) equal to 3:

log2(x^2) = 3

Next, we can rewrite the equation in exponential form:

2^3 = x^2

Simplifying, we get:

8 = x^2

To solve for x, we can take the square root of both sides:

√8 = √(x^2)

Simplifying further:

√8 = x

However, we need to find the positive value of x. So, the answer is:

x = √8

Now, let's simplify √8. Since 8 can be written as 4 * 2, we have:

x = √(4 * 2)

Taking the square root of 4 and 2 individually:

x = √4 * √2

Simplifying:

x = 2 * √2

Therefore, the positive value of x for which h(x) = 3 is 2√2.

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An open-top rectangular box with a volume of 32 cm3, and a square base is to be made , minimum surface area for the box must be roughly (32) 1/3, or 3.17

total box surface, or 5 x 10.08 x 50.4

L*B + 2(L*H) = S.A. +2(B*H)=50.4

Let L=B =3

9+12H = 50.4

H = 41.4/12 = 3.45, thus raise the height to 3.6.

Box measurements are 3x3x3.6.

It is common knowledge that the rectangular box with edges of x, y, and z has a surface area of 2(xy + xz + yz), yet its volume is xyz.This is because the surface area is a measure of the amount of space that the box takes up, while the volume is a measure of the amount of space inside the box.

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Answer:

4.5kg :7kg

Step-by-step explanation:

2 kg 250g convert in kg is 2.25kg

and 3kg 500g convert in kg is 3.5kg

2.25/3.5

solve the divide

Answer: The answer is x=0

Step-by-step explanation:

Rewrite the equation as a trinomial.

x 2 + 12 x + 0

Move 0 to the right-hand side.

x 2 + 12 x = 0

Divide the coefficient of the  x

-term by 2, then square the result. Add the result to both sides.

12 /2 = 6 ;6^2   = 36

x 2 + 12 x + 36 = 36

Factor the perfect square trinomial  

x 2 + 12 x + 36

on the left-hand side.

( x + 6 ) 2 = 36

Take the square root of both sides and solve for  x .

√ ( x + 6 )^ 2 = ± √ 36 =

x+ 6 =  ± 6

x =  − 6 + 6 = 0

x =  − 6  − 6 = − 12

Check

If  x = 0 :

( 0 ) ^2 + 12 ( 0 ) = 0

0 = 0

If  x = − 12 :

( − 12 ) ^2 + 12 ( − 12 ) = 0

144 − 144 = 0

0 = 0

Answer:

(0 ; 1)

Step-by-step explanation:

Have a great day

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

You can tell by looking at the y-axis (vertical line.)

The monthly payment that Micaylah gives will be $189.1.

Given that:

Principal, P = $8,500

Rate, r = 0.0325 / 12 = 0.0027

Time, n = 4 x 12 = 48

The formula of monthly payment (MP) will be

\(\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\\)

Substitute the values in the above equation, then the monthly payment is calculated as,

MP = $8,500 x 0.0027 x (1 + 0.0027)⁴⁸ / [(1 + 0.0027)⁴⁸ - 1]

MP = $8500 x 0.0027 x (1.1382) / (1.1382 - 1)

MP = $8500 x 0.0027 x (1.1382) / (0.1382)

MP = $8,500 x 0.0027 x 8.2135

MP = $189.1

Thus, the monthly payment that Micaylah gives will be $189.1.

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Answer:

x = 2.4 units

Step-by-step explanation:

'x' is the radius of the circle....and  also one leg of the right triangle...

   so we can use Pythagorean theorem to find x

      x^2 + 7^2  = (5+x)^2

       x^2 + 49 = x^2 + 10x + 25

              24 = 10 x

               x = 2.4  units