List the sides in ΔEFG in order from smallest to largest.

Answer:

105

Step-by-step explanation:

\(g(x)=x^{3}-9x\)

rate of change of g(x) is

\(g^{,}(x)=3x^{2} -9\)

for x=1

\(g^{'}(1)=3(1)^{2} -9=-6\)

for x=6

\(g^{'}(6)=3(6)^{2} -9=99\)

Answer:

I'm pretty sure 8

Step-by-step explanation:

The limit of lim (x − 9)/ (x² − 81)  using the l'Hospital's Rule is 1/18.

                  x→9

We can directly substitute the value 9 in the given limit expression.

We get,

lim (x − 9)/ (x² − 81) = (9 - 9)/(9^2 - 81)

= 0/0

The given limit is in indeterminate form. We can apply L'Hospital's rule here.

Differentiating both the numerator and the denominator with respect to x, we get,

lim (x − 9)/ (x² − 81) = lim (1)/(2x)

Now we can directly substitute the value of x in the above expression.

lim (x − 9)/ (x² − 81) = lim (1)/(2x) = 1/18

Therefore, the limit of the given expression is 1/18.

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Answer:

42%

Step-by-step explanation:

Hope it helps!

The new mean for the given data would be 80.

What is the mean of the numbers?

The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.

Mean = Sum / Count

Firstly 18 students took the test and the mean was 81.

By using the definition of mean we can write

        Mean = sum of scores/number of students

         81 = sum of scores / 18

    Sum of scores = 81 * 18

                             = 1458

Now later the four absent kids made it up and scored 77, 85, 68, and 80.

Now new sum of the scores would be = 1458 + 77 +  85 + 68 + 80

                                                               = 1768

And the total number of students will be = 18 + 4 = 22

New mean = new score/number of students

                  = 1768/22

                   = 80.36

                   ≈ 80

Hence, the new mean for the given data would be 80.

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Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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The number of outcomes in the sample space is 25

First time taking the tile out of urn and marking it down, the possibilities are 1,2,3,4,5

After replacement of the tile, once again there are 5 tiles in the urn.

Second time taking the tile and marking it down, the possibilities are 1,2,3,4,5

The sample space is set of all possibilities, which is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(2,5),(3,1),(3,2),(3,3),(3,4),(3,5),(4,1),(4,2),(4,3),(4,4),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5)}

S=25

The number of outcomes in the sample space is 25

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1. By applying the sum of powers formula, we find that ∫(x²+1)² dx diverges as n approaches infinity.

2. The final result is (1/23) * ((x²³ + 8)³/3) + C].

3. The final result is [\(-t^{(-3)}\) / 3 + C].

A territory's approximate area, known as a Riemann sum, is calculated by summing the areas of various simplified slices of the region. Calculus uses it to formalise the process of exhaustion, which is used to calculate a region's area.

1) Using the limit definition of the integral,

we divide the interval [a, b] into n subintervals of width

Δx = (b - a)/n.

Then, the integral is given by the limit of the Riemann sum as n approaches infinity.

For ∫(x²+1)² dx,

we choose the interval [0, 1] and calculate the Riemann sum as Σ[(x⁴+2x²+1) Δx].

By applying the sum of powers formula,

we find that ∫(x²+1)² dx diverges as n approaches infinity.

2) To evaluate ∫x²(x²³ + 8)² dx using substitution,

let u = x²³ + 8

du = (23x²²) dx.

Rearranging, we have

dx = du / (23x²²).

Substituting these expressions, we get

∫(1/23)u² du

Integrating, we find

(1/23) * (u³/3) + C

Replacing u with x²³ + 8,

The final result is (1/23) * ((x²³ + 8)³/3) + C.

3) The integral ∫\(t^{(-4)}\) dt can be evaluated using the power rule of integration.

By adding 1 to the exponent and dividing by the new exponent, we find \(t^{(-4)}\) = ∫ \(-t^{(-3)}\) / 3 + C

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Answer:

13/6

Step-by-step explanation:

6/13 * x = 1

Multiply each side by 13/6

6/13 * 1/3 6  * x = 1 * 13/6

x = 13/6

formula= LCM ×GCD of the numbers ÷ The first number

Answer: a

Step-by-step explanation:a

The required probability that both are red out of total marbles is 0.0431 or 4.31%.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Total number of marbles in a jar = 40 + 11 = 51

Number of red marbles = 11, blue marbles = 40

At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.

Net probability = 11/51×10/50 = 0.0431

percentage probability = 4.31%

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Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

Okay, here we have this:

Considering the provided points, we are going to identify the corresponding ordered pairs, so we obtain the following:

Let us remember that the coordinate of a point corresponds to (x,y), so from this we have:

Point A: (4,1)

Point B: (-2,3)

Point C: (1, 0)

Point D: (3, -2)

Point E: (0, -4)

Point F: (-1 , -2)

Answer:

nuber 1 is sum 2 is quotient 3 is produckproduct

Step-by-step explanation:

number 1 is sum, 2 is quotient , 3 is product.

A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.

here, we have,

an expression with grouping symbols.

When an expression has more than one set of grouping symbols,

So, the answer is,

number 1 is sum, 2 is quotient , 3 is product.

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Answer:

(x)1.4=Y

Step-by-step explanation:

40% increase of memeber so ita 140% of X

Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

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The mean is the measure of the central tendency most likely to be affected by an outlier.

The following statement is correct.

The term "mean" is another synonym for "average." When there is an outlier in the data set, the mean suffers the most. The only measure of central tendency on which an outlier will always have an effect is the mean.

The mean is the only measure of central tendency that is affected by all values since it is calculated by dividing the total of the values by the number of observations.

The arithmetic mean is the average quantity in a given set of data. It is defined as the sum of all observations in the data divided by the total number of observations in the data. As a result, because it comprises all of the data in a series, the mean is influenced by the extreme values.

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Statistical procedures that summarize and describe a series of observations are called descriptive statistics.

Descriptive statistics involve various techniques and measures that aim to summarize and describe the key features of a dataset. These procedures include measures of central tendency, such as the mean, median, and mode, which provide information about the typical or average value of the data. Measures of dispersion, such as the range, variance, and standard deviation, quantify the spread or variability of the data points.
In addition to these measures, descriptive statistics also involve graphical representations, such as histograms, box plots, and scatter plots, which provide visual summaries of the data distribution and relationships between variables. These graphical tools help in identifying patterns, outliers, and the overall shape of the data.
Descriptive statistics play a crucial role in providing a concise summary of the data, enabling researchers and analysts to gain insights, make comparisons, and draw conclusions. They form the foundation for further statistical analysis and inferential techniques, which involve making inferences about a population based on a sample.

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Work done by the person for the displacement of 100m along +x-axis with constant velocity and mass of 10kg is equal to 0Joule.

As given in the question,

Mass of a person 'm' = 10kg

Displacement of the person while walking along +x axis 'd'= 100m

Constant velocity = 2m/s

Let 'w' be the work done by the person

Work = Force × Displacement

Force = mass × acceleration

Acceleration = (final velocity - initial velocity)/ total time taken

Here, Constant velocity ⇒final velocity - initial velocity = 2- 2

                                                                                      = 0m/s

⇒Acceleration = 0m/s²

⇒Force = 10 × 0

             = 0Kgm/s²

⇒Work done = 0 × 100

                     = 0 Joule

Therefore, work done by the person for the given displacement, velocity, and mass is equal to zero Joule.

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Answer:

2.

What is the probability of the youngest four members of a 15-member choir being randomly selected for a group of four singers?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

CD is equal to 3.2 m

Perimeter is equal to 37.5 m

Where is the triangle?

Answer:

For every one pound there are 16 ounces.

Step-by-step explanation:

We can simply see that by dividing the ounces by pounds, 32/2 = 16, and 48/3 = 16.

Number of ounces: 16, 32, 48, 64, 80, 96

Number of pounds:  1, 2, 3, 4, 5, 6