cordenadas cartesianas​

The probability that a car chosen to random will need:

A) no repairs: 72%

B) No more than one repairs: 89%

C) some repairs: 11%

The total amount of cars that will need some type of repair is 28%; 17% will need to be repaired once + 7% will need to be repaired twice + 4% will need to be repaired more than two times.

The amount of cars that wouldn´t need any type of repairs is the total amount of cars minus the percentage that need some type of repair:                

                                   100% - 28% = 72%.

The amount of cars that will need no repairs or only one repair is the total amount of cars minus the percentage that need more than one of repair:

                             100% - (7% + 4%) = 89%.

The amount of cars that need some repairs is the sum of those cars that need two repairs plus those that need three or more repairs:

                                  7% + 4% = 11%

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To investigate significant differences between the brands of yellow interior latex paint using Tukey's procedure, we need to calculate the difference between each pair of means and compare them to the critical value obtained from the studentized range distribution. If the difference is greater than the critical value, it indicates a significant difference between the corresponding brands.

First, let's calculate the critical value using the significance level α = 0.05 and the degrees of freedom for the denominator (within-group) error, which is the total sample size (n) minus the number of groups (k). In this case, n = 4 (gallons) × 5 (brands) = 20 and k = 5.

Degrees of freedom for the denominator error:

df_denom = n - k = 20 - 5 = 15

Using a critical value table or statistical software, the critical value for α = 0.05 and df_denom = 15 is approximately 3.055.

Next, we calculate the absolute difference between each pair of means and compare it to the critical value:

1. |462.0 - 512.8| = 50.8 > 3.055 (significant difference)

2. |462.0 - 437.5| = 24.5 < 3.055 (no significant difference)

3. |462.0 - 469.3| = 7.3 < 3.055 (no significant difference)

4. |462.0 - 532.1| = 70.1 > 3.055 (significant difference)

5. |512.8 - 437.5| = 75.3 > 3.055 (significant difference)

6. |512.8 - 469.3| = 43.5 > 3.055 (significant difference)

7. |512.8 - 532.1| = 19.3 < 3.055 (no significant difference)

8. |437.5 - 469.3| = 31.8 > 3.055 (significant difference)

9. |437.5 - 532.1| = 94.6 > 3.055 (significant difference)

10. |469.3 - 532.1| = 62.8 > 3.055 (significant difference)

Based on the comparisons above, the pairs of means that differ significantly from one another are:

- Brand 1 (x) and Brand 2 (x): |462.0 - 512.8| = 50.8

- Brand 1 (x) and Brand 5 (x): |462.0 - 532.1| = 70.1

- Brand 2 (x) and Brand 5 (x): |512.8 - 532.1| = 19.3

- Brand 3 (x) and Brand 5 (x): |437.5 - 532.1| = 94.6

- Brand 3 (x) and Brand 4 (x): |437.5 - 469.3| = 31.8

- Brand 4 (x) and Brand 5 (x): |469.3 - 532.1| = 62.8

Therefore, the brands that differ significantly from one another are: Brand 1 (x) and Brand 2 (x), Brand 1 (x) and Brand 5 (x), Brand 2 (x) and Brand 5 (x), Brand 3 (x) and Brand 5 (x), Brand 3 (x) and Brand 4 (x), Brand 4 (x) and Brand 5(x).

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Answer:

-3/19

Step-by-step explanation:

slope = rise/run = (y1 - y2) / (x1 - x2)

s = (19 - 16) / (-9 -10)

s = 3/-19 = -3/19

Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Answer:

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?​

--------

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

Answer:

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

Answer:

16.3p + (-10)

Step-by-step explanation:

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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Answer:

Hi there!

Your answer is:

One piece of metal is equal to 3/8ths of a pound or 6ounces

Step-by-step explanation:

3lbs / 8 pieces

One piece of metal is equal to 3/8ths of a pound or 6ounces

The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

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There will be no change in volume reducing the radius by 10%.

What is Direct Proportion?
The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. Since the other variable is reversed in this case, the inversely proportional relationship is really represented by the same symbol.

For instance, if x and y are two quantities or variables that are intimately linked to one another, we can say x y. The ratio of x and y becomes equal to a constant when the proportionality sign is removed, for example, x/y = C, where C is a constant. In contrast, x and y are represented as x 1/y or xy = C in the case of inverse proportion.
Let the radius be r then
The volume of every sphere is,
\(\mathrm{V}=4 \pi \frac{\mathrm{r}^3}{3}\)
In the given question, It is given:
The volume V of a sphere varies in direct proportion to the cube of its radius.

That means:\(\mathrm{V}\) ∝ \(r^{3}\)
That means:\(4 \pi \frac{\mathrm{r}^3}{3} = kr^{3}\)⇒\(4 \pi \frac{\mathrm{1}}{3} = k\)
So, The equation is independent of radius.
Hence, There will be no change in volume reducing the radius by 10%.

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Answer: d. Mean, median and mode are all equal.

Step-by-step explanation:

Answer:

\(\frac{3}{8}*\frac{7}{9}=\frac{7}{24}\)

Step-by-step explanation:

Solution with Steps

\(\frac{3}{8}*\frac{7}{9}=?\)

For fraction multiplication, multiply the numerators and then multiply the denominators to get

\(\frac{3*7}{8*9}=\frac{21}{72}\)

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 72 using GCF(21,72) = 3

\(\frac{21/3}{72/3} =\frac{7}{24}\)

Therefore:

\(\frac{3}{8}*\frac{7}{9}=\frac{7}{24}\)

Wronskian of y1 = e^{5x} and y2 = e^{−2x} is -7e^{3x}. General solution to differential equation (d²y/dx²) -10(dy/dx) + 25y = 0 is y(x) = c1e^{5x} + c2e^{-2x} on interval of (-∞, ∞).

To compute the Wronskian of the functions y1 = e^{5x} and y2 = e^{−2x}, we use the formula:

W(y1,y2) = y1*y2' - y1'*y2

where y1' and y2' denote the derivatives of y1 and y2 with respect to x, respectively.

Taking the derivatives, we have:

y1' = 5e^{5x}

y2' = -2e^{-2x}

Substituting these values into the formula, we get:

W(y1,y2) = e^{5x}*(-2e^{-2x}) - (5e^{5x})*e^{-2x}

W(y1,y2) = -2e^{3x}- 5e^{3x}

W(y1,y2) = -7e^{3x}

Therefore, the Wronskian of y1 = e^{5x }and y2 = e^{−2x} is -7e^{3x}.

To find the general solution to the differential equation (d² y)/(dx²) - 10(dy/dx) + 25y = 0, we use the fact that y1 and y2 are linearly independent solutions, and thus the general solution has the form:

y(x) = c1y1(x) + c2y2(x)

Substituting y1 and y2, we get:

y(x) = c1e^{5x} + c2e^{-2x}

This is the general solution on the entire real line (-∞, ∞).

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All the trigonometric values for sin θ, cos θ and tan θ are valued below. Each trigonometric value is mentioned.

sin θ has boundaries from 0 to 1.

Since the sine function is a periodic function, we can represent sin 1° as, sin 1 degree = sin(1° + n × 360°), n ∈ Z. ⇒ sin 1° = sin 361° = sin 721°, and so on.

sin \(-\pi /2\)  = -1

sin  \(-\pi /3\) = -0.87

sin \(-\pi /6\) = -0.5

sin 0 = 0

sin \(\pi /6\) = 0.5

sin \(\pi /3\) = 0.87

sin \(\pi /2\) = 1

sin \(2\pi /3\) = √3/2

sin \(5\pi /6\) = 1/2

sin \(\pi\) = 1

sin \(7\pi /6\) = -0.5

sin \(4\pi /3\) = -0.87

sin \(3\pi /2\) = -1

sin \(5\pi /3\)  = -0.87

sin \(11\pi /6\) = -0.5

sin 2\(\pi\) = 0

Similarly cos θ has boundaries.

The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).

cos \(-\pi /2\)  = 0

cos   \(-\pi /3\)  = 0.5

cos \(-\pi /6\)  = 0.87

cos 0 = 1

cos \(\pi /6\) = 0.7

cos \(\pi /3\) = 0.5

cos  \(\pi /2\) = 0

cos  \(2\pi /3\)  = -0.5

cos \(5\pi /6\)  = -0.87

cos \(\pi\)  = -1

cos  \(7\pi /6\) = -0.87

cos  \(4\pi /3\) = -0.5

cos  \(3\pi /2\)  = 0

cos \(5\pi /3\)  = 0.5

cos \(11\pi /6\)  = 0.87

cos2\(\pi\)  = 1

But tan θ has no boundaries.

The tangent function 'or' Tan Theta is one of the three most common trigonometric functions, along with sine and cosine. The tangent function in a right-angle triangle is defined as the ratio of the opposite side to the adjacent side.

tan  \(-\pi /2\) = undefined

tan   \(-\pi /3\)= -0.8

tan \(-\pi /6\)= -1.73

tan 0 = 0

tan \(\pi /6\)= \(\frac{1}{\sqrt{3} }\)

tan \(\pi /3\) = \(\sqrt{3}\)

tan  \(\pi /2\) = undefined

tan   \(2\pi /3\) =-3

tan \(5\pi /6\)  = -0.5774

tan \(\pi\)  = undefined

tan  \(7\pi /6\) = -1.73

tan  \(4\pi /3\) = 1.73

tan  \(3\pi /2\) = undefined

tan \(5\pi /3\) = -1.73

tan  \(11\pi /6\) = -0.58

tan2\(\pi\)  = 0

Hence, all the values mentioned in the table, were written above.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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The three-number integer that Samya is thinking of include 562, 566, 571, 575, 577, and 586.

From the information, it is not a multiple of four, it is greater then 560 but less than 590.

In this case, the numbers will be between 561 to 589. It should be noted that 576 is a perfect square.

Also, 568, 580 are divisible by 4.

In this case, 562, 566, 571, 575, 577, and 586 are the numbers.

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Answer: josie can buy 3 sets of dishes

Step-by-step explanation: im assuming that a set would cost 45 including shipment fee

45x3 = 135

Answer:

3

Step-by-step explanation

45*3= 135

45*4=180 so there fore you can onlt get 3

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer:

Step-by-step explanation:

In the image attaches you can observe the Free Throws Made and the Free Throws Attempted.

Team Rockets Made 8 Free Throws, and Attempted 24, which give a ratio of

\(R=\frac{8}{24}=\frac{1}{3}\)

Team Turbos Made 16 free throws and attempted 36, which give a ratio of

\(T=\frac{16}{36}=\frac{8}{18} =\frac{4}{9}\)

As you can see, the ratio are diferent.

Therefore, the ratios are not equivalent.

Answer:

no

Step-by-step explanation:

The total area of the colored rectangles is 62 square feet

Given that: the room is  12 x 16 with an 8 x 10 piece of linoleum centered in the room

The shape will be treated as a composite rectangle. Thus, the room can be divided into smaller rectangles as shown in the image attached.

For the Yellow part:

Length(L) = 8 + 2 = 10 feet

width(W) = 3 feet

Area(A) = L × W

A = 10 × 3 = 30 square feet

For the Blue part:

Length(L) = 2 feet

Width(W) = 3 + 10 = 13feet

Area(A) = L × W

A = 13 × 2 = 26 square feet

For the Green part:

Length(L) = 2 feet

width(W) = 3 feet

Area(A) = L × W

A =  2 × 3 = 6 square feet

Total colored area = Area of Yellow +  Area of Blue +  Area of Green

Total colored area = 30 + 26 + 6 = 62 square feet

Therefore, the total colored area is 62 square feet

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Answer:

A=45°

B= 110°

C=25°

Step-by-step explanation:

X + (X+65) +25= 180

2X + 90=180

X=45°

Answer:

∠A = 45°

∠B = 110°

∠C  = 25°

Step-by-step explanation:

We know that

 the sum of the interior angles in a triangle is 180°.

Accordingly,

x + 65 + x + 25 = 180

Combine like terms.

2x + 90 = 180

Subtract 90 from both sides.

2x = 180 - 90

2x = 90

Divide both sides by 2.

x = 45°

Now let us find the exact value of the angles.

∠ A = x = 45°

∠ B = x + 65 = 45 + 65 = 110°

∠C  = 25°

Answer:

The Answer is D

Step-by-step explanation:

Just wanted to let everyone know so that they don't have to deal with the other answer.

The definition of the piecewise function in this problem is given by:

a. y = x + 1, x ≤ 2.

   y = x + 1, x > 2.

A piecewise function is a function that has different definitions, depending on the input.

here, we have,

For x until x = 2, we have a linear function with an intercept of 1 and slope of 1, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

The definition of the piecewise function in this problem is given by:

a. y = x + 1, x ≤ 2.

   y = x + 1, x > 2.

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complete question:

the picture is given.

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

Answer:

grpuirpfs better luck next time

Step-by-step explanation:

Answer:

M=10d+5

Step-by-step explanation: