can anyone solve 2x-2 <6

The probability that there are no surface flaws in an auto's interior is 93.23%.

For the given question;

The number of surface defects in plastic panels for use in automobile interiors follows a Poisson distribution.

We know that the required number of flaws is calculated using

Expected flaw count = 10×0.007 = 0.07

Thus,

The likelihood there were no surface flaws in an automobile's interior;

P(X=0) = e⁻⁰°⁰⁷

P(X=0) = 0.9323

Thus, the probability that there are no surface flaws in an auto's interior is 93.23%.

To know more about the Poisson distribution, here

https://brainly.com/question/9123296

#SPJ4

The volume of the ice cube is 35.937 mm^3

We know that for a cube of side length L, the volume is defined as:

V = L^3

Here, we do know that each side of our ice cube measures 3.3 mm, so we have:

L = 3.3mm

Then the volume of the cube is just:

V = (3.3 mm)^3 = 35.937 mm^3

We can conclude that the volume of the ice cube is 35.937 mm^3

If you want to learn more, you can read:

https://brainly.com/question/14075019

Answer:

1/16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

4^6/4^8

4^(6-8)

4^-2

We know that a^-b = 1/a^b

1/4^2

1/16

Answer:

D

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) with n > m

= \(\frac{1}{a^{(n-m)} }\) , then

\(\frac{4^{6} }{4^{8} }\)

= \(\frac{1}{4^{(8-6)} }\)

= \(\frac{1}{4^{2} }\)

= \(\frac{1}{16}\) → D

Answer:

3

Step-by-step explanation:

75/15=

             __3_________

   15    /   75

          -    75

     ---------------------------------

                   0

Have a great day

Answer:

B

Step-by-step explanation:

As you can see if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

The pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.

Function is a type of relation, or rule, that maps one input to specific single output. Inverse means that the function is reversed from the original function, f(x).

A:  The original function, f(x) = x/8 + 3. g(x) = 8x - 3. they are not inverse functions.

B:  The original function, f(x) = 10x - 5. g(x) = x - 5/10. they are inverse functions.

C:  The original function, f(x) = 4/x - 3. g(x) = 1/x + 3/ 4, they are not inverse functions.

Hence, the pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Answer:

Step-by-step explanation:

0.0037037045455 of a mile or 19.55556 feet per second

Answer: 1/270 miles per second

Step-by-step explanation:

Speed is equal to distance over time (s=d/t).

We can plug in 10 miles as distance, and 45 minutes as the time; however, you multiply the time by 60 since a minute has 60 seconds. The equation then becomes:

s=10/45*60

s=10/2700

s=1/270

Her speed is 1/270 mps.

Answer:

show us the graph

Step-by-step explanation:

Answer:

gurl please better explain what i need to do

Step-by-step explanation:

Answer:

33 miles

Step-by-step explanation:

Trip to airport:

distance = d1

speed = s1 = 55 mph

time = t1

Trip home:

distance = d2

speed = s2 = 45 mph

time = t2

We are told the same route was used for both trips, so

d1 = d2

The total time was 1 hr 20 min = 1 hr + 20/60 hr = 4/3 hr.

t1 + t2 = 4/3

t2 = 4/3 - t1

speed = distance/time

distance = speed * time

d1 = s1 * t1

d2 = s2 * t2

d1 = d2, so

s1 * t1 = s2 * t2

t2 = 4/3 - t1; s1 = 55; s2 = 45

55 * t1 = 45(4/3 - t1)

55t1 = 60 - 45t1

100t1 = 60

t1 = 0.6

The time to get the the airport was 0.6 hr. Now we find the distance.

d1 = s1 * t1

d1 = 55 * 0.6

d1 = 33

The distance is 33 miles.

The airport is at a distance of 33 miles from Dara's home.

Speed is directly proportional to distance and inversely proportional to time. Its equation is given as:

Speed = Distance/Time.

The other equations, formed using this equation are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are informed that Dara drove from home to the airport to pick up her friend and then came back home on the same route. Her average speed on the way to the airport was 55 miles per hour (mph), and her average speed on the way back home was 45 mph.

We are asked to find the distance between Dara's home and the airport, if the total driving time was 1 hour 20 minutes.

We assume the distance between Dara's home and the airport to be x miles.

As she went to the airport and came back from the airport via the same route, her distance in both the cases will be x miles.

Time taken by Dara to go from home to the airport,

t1 = Distance/Speed = x/55 (Since, her average speed on the way to the airport was 55 mph).

Time taken by Dara on the way back home,

t2= Distance/Speed = x/45 (Since, her average speed on the way back home was 45 mph).

Now, total driving time can be written as,

t1 + t2,

= x/55 + x/45,

= (9x + 11x)/495,

= 20x/495,

= 4x/99.

Now, we know that this time is given as 1 hour and 20 minutes = 1 1/3 hours = 4/3 hours.

Therefore, we an write the equation:

4x/99 = 4/3,

or, x = (4*99)/(4*3) = 33.

Therefore, the airport is at a distance of 33 miles from Dara's home.

Learn more about speed, distance, and time at

https://brainly.com/question/4931057

#SPJ2

Find the inverse Laplace transform f(t) = L^-1 {F(s)} of the function F(s) = 6 - 2s/s^2 + 64. F(t) = L^-1 {6 - 2s/s^2 + 64}
= 6 - 4t + 64e2t


To explain this result, it is necessary to understand the basics of Laplace transforms. A Laplace transform is a mathematical operation used to transform a time-domain signal into a frequency-domain signal. The inverse Laplace transform takes a frequency-domain signal and transforms it back into a time-domain signal. The inverse Laplace transform of a function F(s) is defined as the function F(t), where F(s) is the original Laplace transform of F(t).

To find the inverse Laplace transform of the given function, F(s) = 6 - 2s/s2 + 64, we need to apply the inverse Laplace transform formula. This formula states that, for any given function F(s), the inverse Laplace transform is given by:

F(t) = L-1 {F(s)} = ∫0∞ e-st F(s) ds

Using this formula, the inverse Laplace transform of the given function F(s) = 6 - 2s/s2 + 64 is given by:

F(t) = L-1 {6 - 2s/s2 + 64} =

= 6 - 4t + 64e2t

This result can be obtained by substituting the given function F(s) into the inverse Laplace transform formula and integrating it. This integration is simplified by splitting the integral into two parts: one part with the constant term 6, and the other part with the terms -2s/s2 and 64. The first integral will simply evaluate to 6, while the second integral can be evaluated using the integration by parts method. This method can be used to integrate functions of the form uv, where u and v are functions of the same variable. In this case, the functions u and v are s and e-st respectively, and the integral can be evaluated as follows:

∫0∞ e-st (-2s/s2) ds =

= [e-st (-2/s)]0∞ - ∫0∞ e-st (-2/s2) ds =

= 0 + ∫0∞ 2e-st ds =

= 2 ∫0∞ e-st ds =

= 2 ∫0∞ e-2t dt =

= 2(-1/2)e-2t =

= -e-2t

Adding this result to the constant term 6, we obtain the inverse Laplace transform of the given function F(s) = 6 - 2s/s2 + 64:

F(t) = L-1 {6 - 2s/s2 + 64} =

= 6 - 4t + 64e2t

In summary, the inverse Laplace transform of the given function F(s) = 6 - 2s/s2 + 64 is F(t) = 6 - 4t + 64e2t. This result can be obtained by substituting the given function into the inverse Laplace transform formula and integrating it.

To know more about  inverse Laplace transform refer here:

https://brainly.com/question/1675085

#SPJ11

The given logarithmic equation (3.172 * 10 ⁺ ³ ) ⁶ is calculated to be -14.992

Information given in the equation in the question

Find the log of (3.172*10-³)⁶

logarithm refers to the exponent which a base number should be raised to get a given number

solution for the logarithmic equation

log of (3.172 * 10 ⁺ ³ ) ⁶

= 6 log  (3.172 * 10 ⁺ ³ )  

= 6 log 3.172 + 6 log 10 ⁺ ³

= 6 log 3.172 + 6 * -3 log 10

log ₁₀ 10 = 1

= 6 log 3.172 + 6 * -3 * 1

= 3.008 + ( - 18 )

= -14.992

Learn more about logarithmic equation at: https://brainly.com/question/237321

#SPJ1

Answer:

-6

Step-by-step explanation:

f(x)= (3- 4)(3+3)

=( -1 )(6)

= -6

Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.

In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:

l + 2x = 3w

In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:

l = 2(w + x)

We now have two equations with two unknowns, l and w:

l + 2x = 3w

l = 2(w + x)

Substituting the second equation into the first, we get:

2(w + x) + 2x = 3w

4x = w

Substituting this value of w into the second equation, we get:

l = 2(4x) = 8x

So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.

To find the value of x, we use the measurements given in the diagram:

l + 2x = 60

l = 36

Substituting into the equation l = 2(w + x), we get:

36 = 2(4x + x)

36 = 10x

x = 3.6

So the side length of the square rug is 3.6 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the correct answer is an (x+2)+10

To determine the rate of two people moving apart, consider their velocities as vectors. Person A moves north at 4 ft/s, while Person B walks south for 15 minutes. Calculate position after 15 minutes using velocity vector and distance formula, resulting in 129 ft/min distance between them.

To find the rate at which the two people are moving apart, we can consider their velocities as vectors. Let's assume that the starting point, point P, is the origin of a coordinate system.

Person A is moving north at 4 ft/s, so their velocity vector can be represented as <0, 4>.

Person B starts walking south 5 minutes later, so they have been walking for 15 minutes. Since they are walking south, their velocity vector is <0, -5>.

The position of Person A after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, 4> * 15 = <0, 60>.

Similarly, the position of Person B after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, -5> * 15 = <0, -75>.

The distance between the two people can be calculated using the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Plugging in the values, we get distance = sqrt((0 - 0)^2 + (60 - (-75))^2) = sqrt(0 + 1935^2) = sqrt(3740225) = 1935 ft.

Therefore, the two people are moving apart at a rate of 1935 ft/15 min = 129 ft/min.

To know more about vectors Visit:

https://brainly.com/question/24256726

#SPJ11

Answer:

4√3

Just use Sin rule and cross multiplication method

The given expression is 1 + 6b+d.

Here, we need to find the coefficient of the second term.

The answer is 6.

The second term in the given expression is 6b.

The coefficient of a term in an expression is the numerical factor of that term.

The coefficient of a term is always located before the variable in that term.

Let us find the coefficient of the second term, which is 6b.

The coefficient of the term 6b is 6.

Hence, the coefficient of the second term in the given expression is 6.

Therefore, the answer is 6.

To know more about coefficient visit

https://brainly.com/question/1594145

#SPJ11

In the given word problem, the rate of change is the change in the cost of the ice cream concerning the change in the number of scoops.

That is, the rate of change is the ratio of the change in the cost of ice cream and the change in the number of scoops. Let's first calculate the initial rate of change or slope of the given deal: When we buy a waffle cone, the cost is $3, and we can buy one scoop of ice cream for $1.50.So, for one scoop of ice cream, the total cost would be 3 + 1.50 = $4.50.

We can represent the cost of one scoop of ice cream with the help of a linear equation: y = mx + b. Here, the slope or the rate of change, m = Change in cost of ice cream/ Change in the number of scoops= 1.5/1= 1.5Therefore, the rate of change of the ice cream with respect to the number of scoops is $1.50/scoop.

To know more about linear equation refer to:

https://brainly.com/question/2030026

#SPJ11

Answer:

Your answer should be x = 2

Step-by-step explanation:

149 + 13(2) + 5 = 180.

Hope this helps.

Answer:

x=2

Step-by-step explanation:

You add 149 and 5, which is 154. Then you take the total which is 180, and subtract it by 154. So 180-154=26 Then you take and do 26/13 which is 2.

149+13(2)+5=180

149+26+5=180

Definitely 2.

Hope this helps!!!

computing the average distance between every pair of observations between two clusters

What is Cluster Analysis?

Grouping "things" into "similar" groups is one of the most fundamental, straightforward, and frequently overlooked techniques (or processes) of comprehending and learning, on which cluster analysis is based. To create clusters of a particular type, this process uses a variety of different algorithms and techniques. It is also a component of data management in statistical analysis.

A multivariate data mining technique called cluster analysis aims to group things (such goods, responders, or other entities) based on a set of user-selected features or characteristics. Data compression, machine learning, pattern recognition, information retrieval, and other areas all use this essential and crucial phase of data mining, which is also a widely used method for statistical data analysis.

Here as per the given question, there are two clusters given.

Hence, computing the average distance between every pair of observations between two clusters.

Learn more about Cluster Analysis, here

https://brainly.com/question/29555301

#SPJ4

The limit of this expression as x approaches 0 is 1. To prove this, we can use L'Hospital's Rule.

Take the natural log of both sides and use the chain rule to simplify:

lim x→0 cot(3x)sin(9x) = lim x→0 ln(cot(3x)sin(9x))

Apply L'Hospital's Rule:

lim x→0 ln(cot(3x)sin(9x)) = lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)]

Apply L'Hospital's Rule again:

lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)] = lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)]

Simplify each side of the equation:

lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)] = lim x→0 −3/9

= -1/3

Since the limit of both sides of the equation is the same, the original limit must also be -1/3.

However, since cot(0) and sin(0) both equal 0, the limit of the original expression is 1.

To learn more about L'Hospital's Rule visit:

https://brainly.com/question/31398208

#SPJ4

The limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

We can use the properties of trigonometric functions to simplify the expression without needing to apply L'Hôpital's rule.

Recall that cot(x) = cos(x) / sin(x). Applying this to the expression:

lim(x→0) (cos(3x) / sin(3x)) sin(9x)

The sin(3x) term in the numerator and denominator cancels out:

lim(x→0) cos(3x) sin(9x) / sin(3x)

Next, we can simplify the expression further by applying the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) to sin(9x):

lim(x→0) cos(3x) (sin(3x)cos(6x) + cos(3x)sin(6x)) / sin(3x)

Now, we can cancel out the sin(3x) term in the numerator and denominator:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1

As x approaches 0, all trigonometric functions in the expression approach their respective limits. Therefore, we can evaluate the limit directly:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1 = cos(0) (cos(0) + cos(0)sin(0)) / 1 = 1(1 + 1(0)) = 1(1 + 0) = 1

Hence, the limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

To know more limit refer here:
https://brainly.com/question/30532760#

#SPJ11

The mean score has an equal probability of occurring of the scores in the uniformly distributed quiz is 5.5.

In a uniform distribution where the scores range from 1 to 10, each possible score has an equal probability of occurring. To find the mean (or average) of the scores, we can use the formula:

Mean = (Sum of all scores) / (Number of scores)

In this case, the sum of all scores can be calculated by adding up all the individual scores from 1 to 10, which gives us:

Sum of scores = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

The number of scores is 10 since there are 10 possible scores from 1 to 10.

Plugging these values into the formula, we get:

Mean = 55 / 10 = 5.5

Therefore, the mean of the scores in this quiz is 5.5.

Learn more about the probability at

https://brainly.com/question/31828911

#SPJ4

The question is -

Suppose a professor gave a quiz where the scores are uniformly distributed from 1 to 10. What is the mean of the scores?

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Answer:

rate=55 percent

Step-by-step explanation:

SI=PRT

p=90

r=?

t=2

si=99

R=SI÷PT

R=99÷90×2

r=99÷180=0.55

r=0.55×100

R=55%

Answer:

See below.....Something is wrong with your question

Step-by-step explanation:

v = k d^3    or     k = v/d^3   = 576/12^3 = 1/3

when depth (???   m??)  is 1300 :

  1/3 =  v / (1300^3)  = 732 333 333 .3 cm^3

Solution

A relation can be thought of as a set of ordered pairs. We consider the first element of the ordered pair to be related to the second element of the ordered pair. Definition: A relation R from a set X to a set Y is a subset of the Cartesian Product X x Y, if (x, y) ∈ R, we write x R y and say that x is related to y.

The inputs ... the x values ... are on the left ...(from)

The outputs ... the y values ... are on the right ... (ro)

The coordinates are:

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: c = \pi d\)

\(\qquad \sf  \dashrightarrow \: c = 3.14 \times 10\)

\(\qquad \sf  \dashrightarrow \: c = 31.4 \: cm\)

Answer:

31.4cm

Step-by-step explanation:

d = 2*r

r = 5

d = 10

circumference = d(3.14) = 10*3.14 = 31.4 cm

Hope this helps!!!

Please mark as brainliest!!!