. The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer

Answer:

not

Step-by-step explanation:

Answer:

non-equivalent

Step-by-step explanation:

the equivalend fraction of \(\frac{2}{3}\) is \(\frac{6}{9}\) not \(\frac{6}{10}\)

Answer:

170

Step-by-step explanation:

\(x+40=210\\x=170\)

If a number, x, is increased by 40 (+40) and is now equal to 210 (=210), then the number, x, is equal to 170.

Answer:

Answer would be B.

Step-by-step explanation:

there are two dors located at x= -4 and x=9

The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.

In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.

The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}

This includes all the possible lights that could be seen on the two mornings by Julie.

Find out more on sample space at https://brainly.com/question/29719992

#SPJ1

Answer:

DF = 45.5 feet

Step-by-step explanation:

∠D = 37°

cos 37 = DF/57

DF = 57·cos 37

DF = 45.5'

The percentage increase China's population from 1970 to 1995 is: 56.25%.

Percentage increase = (Final Value - Original Value)/Original value × 100.

Given the following:

Original value = 0.8 billion

Final Value = 1.25 billion

Final Value - Original Value = 1.25 - 0.8

Final Value - Original Value = 0.45

Percentage increase = 0.45/0.8 × 100 = 56.25%.

Learn more about percentage increase on:

https://brainly.com/question/14129404

#SPJ1

Answer:

48×4.3=184 and that is the easy way how to do it

Answer:

what's the question and no link's

Answer:

490 cu.ft

Step-by-step explanation:

Answer:

x=5i√2,−5i√2

Tap to view steps...

Step-by-step explanation:

math, way, . , com

A graph of triangle ABC is shown below.

A graph of triangle A'B'C, the image of ΔABC after a translation right 1, down 3 is shown below.

A graph of triangle A"B"C", the image of ΔABC after a dilation of 2 is shown below.

ΔA"B"C" does not represent a rigid motion because the pre-image and the image are not congruent.

By translating the pre-image triangle ABC vertically down 3 units and horizontally right 1 unit, the coordinates of the image of triangle A'B'C'D' include the following:

(x, y)                               →                  (x + 1, y - 3)

Coordinate A = (2, 3)   →    Coordinate A' = (2 + 1, 3 - 3) = (3, 0)

Coordinate B = (4, 0)   →    Coordinate B' = (4 + 1, 0 - 3) = (5, -3)

Coordinate C = (5, 4)   →     Coordinate C' = (5 + 1, 4 - 3) = (6, 1)

By applying a dilation with a scale factor of 2 centered at the origin, we have:

Coordinate A = (2, 3)   →    Coordinate A" = (4, 6)

Coordinate B = (4, 0)   →    Coordinate B" = (8, 0)

Coordinate C = (5, 4)   →     Coordinate C" = (10, 8)

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

Answer:

[-5, 7]

Step-by-step explanation:

The value of x for the given trigonometric function is (15/18)π.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right angle.

As per the given,

secx = (-2√3)/3

1/cosx = -2/√3

cosx = -√3/2

x  = 150° = (15/18)π

Thus, x goes into the second quadrant as shown below.

Hence"The value of x for the given trigonometric function is (15/18)π".

For more information about the trigonometric function,

https://brainly.com/question/14746686

#SPJ1

Answer:

Step-by-step explanation:

decimal: 10 + 2 + 0.0 + 0.04

or

decimal: 1 × 1 + 2 × 1 + 0 × 0.1  + 4 × 0.01

12.04 = 12 and 1/25

im not sure how to do the extended form for the fraction but you have the decimal one.

Answer:

See below

Step-by-step explanation:

Domain is the set of all 'x' values a function can have ...this one goes from

-4 to +2 inclusive

[-4,+2]         or       -4 ≤ x ≤ +2

The domain of the graphed function is,

Domain = - 4 ≤ x ≤ 2

We have to given that,

To find the domain of the graphed function.

Since, The collection of potential output values that make up the range is represented by the y-axis.

Remember that the domain and range may be larger than the observable values if the graph extends beyond the area that we can view.

Here, By graph,

The domain of the graphed function is,

Domain = - 4 ≤ x ≤ 2

Therefore, The domain of the graphed function is,

Domain = - 4 ≤ x ≤ 2

Learn more about the domain visit:

brainly.com/question/28934802

#SPJ6

Answer:

Each side will measure 2.25 cm

Step-by-step explanation:

Perimeter is the sum of all the sides of a shape.

Since an octagon has 8 sides and the perimeter is 18,we simply divide 18 by 8.

18 ÷ 8 = 2.25

Have a wonderful day.

Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

Answer: 240 and 360

So there is a total of 600 of something. We can add 2+3 to even find the total which is 5

Now place it in a ration where David's value as, " D " and Paul's value as,     " P "

D/600 = 2/5

D = 2/5 * 600

D = 2 * 120

D = 240

We found David's amount which is 240 . . . Now Paul's amount:

P/600 = 3/5

P = 3/5 * 600

P = 3 * 120

P = 360

We found Paul's amount which is 360 . . .

Brainliest pwease if it is clear and correct! <3 ~ ~ ~ ~ ~ ~

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

The equation explaining the relationship between line segment AC and line segment A"C" is: y_A"C" = y_AC.

To determine the relationship between line segment AC and line segment A"C" in the given transformation, let's consider the properties of translation and dilation.

Translation:

A translation moves an object in a specific direction by a given distance. In this case, the translation (x + 0, y + 2) means that every point of the original triangle A'B'C' is shifted vertically upward by 2 units. So, A' becomes A" when shifted vertically by 2 units.

Dilation:

A dilation scales an object by a certain factor while keeping the same center of dilation. The scale factor of 2 means that every point is multiplied by 2 in both the x and y coordinates. Since the center of dilation is the origin (0, 0), the origin remains fixed.

Considering these transformations, we can deduce the following:

1. Translation: (x, y) ⟼ (x, y + 2)

2. Dilation: (x, y + 2) ⟼ (2x, 2(y + 2))

Applying the dilation to the translated point A", we get:

A" = (2x, 2(y + 2))

Now, we can determine the equation that relates line segment AC and line segment A"C" by comparing their coordinates:

The coordinates of A are (x, y), and the coordinates of C are (0, y) since it is a vertical line segment.

The coordinates of A" are (2x, 2(y + 2)), and the coordinates of C" are (0, 2(y + 2)).

The slope between A and C is given by:

m_AC = (y - (y + 2)) / (x - 0) = -2 / x

The slope between A" and C" is given by:

m_A"C" = (2(y + 2) - (2(y + 2))) / (2x - 0) = 0

Since the slope between A" and C" is zero, it indicates that line segment A"C" is a horizontal line. There is no change in the y-coordinate, implying that the y-value of A" and C" remains the same.

In other words, the y-coordinate of A"C" is equal to the y-coordinate of AC.

For more such questions on segment,click on

https://brainly.com/question/280216

#SPJ8  

The probable question may be:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line segment AC and line segment A"C"?

Answer:

x = ± \(\sqrt{8}\) - 2

Step-by-step explanation:

x² + 4x = 4

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 4 + 4

(x + 2)² = 8 ( take square root of both sides )

x + 2 = ± \(\sqrt{8}\) ( subtract 2 from both sides )

x = ± \(\sqrt{8}\) - 2

Answer:

45%

Step-by-step explanation:

45%

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

For more such questions on length, click on:

https://brainly.com/question/28322552

#SPJ8

Answer:

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

Answer:

To find the average price of all 4 pies, we have to know the price of all 4 pies. You have only given the price of 3 of the pies, so there is no way to figure the average. The best you can do in this case is say that the peach pie costs (6 + 7 + 11 + X) / 4 dollars, where X is the cost of the peach pie.

I think you meant to say that the peach pie cost the average of the prices of the other three pies. In which case, it costs (6 + 11 + 7) / 3, or $8.00.

Step-by-step explanation:

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

x = 8

The number is 8

Step-by-step explanation:

36 – (3x) = 4 + x

36 – (3 • 8) = 4 + 8

36 – 24 = 12

12 = 12

x = 8

I hope this helps.

Answer:

  y = -5/2x +1

Step-by-step explanation:

You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.

The equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:

  5(-2) +2(6) = c

  -10 +12 = c

  2 = c

Now we know the equation of the parallel line can be written as ...

  5x +2y = 2

Solving for y puts this in slope-intercept form:

  2y = -5x +2 . . . . . . . . subtract 5x

  y = -5/2x +1 . . . . . . . . divide by 2

We don't know what your boxes look like, but we can separate the numbers to make it look like this:

  \(\boxed{y=\dfrac{-5}{2}x+1}\)

#95141404393

Answer:

A cookie store sells 6 varieties of cookies. It has a large supply of each kind. How many ways are there to select 15 cookies if at most 2 can be sugar cookies?

The equation for g(x) representing the exponential function f(x) = 2^x after a vertical stretch by a factor of 6 and a reflection across the x-axis is g(x) = -6 * 2^x.

To find the equation for the function g(x) that represents the exponential function f(x) = 2^x after a vertical stretch by a factor of 6 and a reflection across the x-axis, we need to apply these transformations step by step.

Vertical Stretch by a factor of 6:

Multiply the function f(x) by 6: 6 * 2^x

Reflection across the x-axis:

Take the negative of the function obtained from the previous step: -6 * 2^x

Therefore, the equation for g(x) is:

g(x) = -6 * 2^x

To graph both functions, you can plot the points for f(x) using the original exponential function f(x) = 2^x, and then plot the points for g(x) using the transformed equation g(x) = -6 * 2^x. By comparing the two graphs, you will see the effect of the vertical stretch and reflection across the x-axis.

for such more question on exponential function

https://brainly.com/question/19961531

#SPJ8