What's the surface area of this triangular prism

Answer: 4x -8+ 125x -4x +5

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

A:Label with units

Step-by-step explanation:

units are important for understanding what's being plotted or investigated in the graph

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Answer:

x >= 74

Step-by-step explanation:

x/10 (* 10) + 6 >= 8 (* 10)

x + 6 (- 6) >= 80 (- 6)

x >= 74

Answer:

does the dog talk spanish

Step-by-step explanation:

hope this helps :)

............

Answer:

hope this helps you

Therefore, based on the given formula, the peak of the mountain is infinitely high.

To determine the height of a mountain peak using the given formula, we can solve for x when P equals zero. Since atmospheric pressure decreases as altitude increases, reaching zero pressure indicates that we have reached the peak.

Setting P to zero and rearranging the formula, we have 0 = 14.7e^(-0.21x). By dividing both sides by 14.7, we obtain e^(-0.21x) = 0. This implies that the exponent, -0.21x, must equal infinity for the equation to hold.

To solve for x, we need to find the value of x that makes -0.21x equal to infinity. However, mathematically, there is no finite value of x that satisfies this condition.

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When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.

After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).

model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.

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Check the picture below.

Answer:

24/1

Step-by-step explanation:

24/1. because when you dive you get 24. 24 in fraction form is 24/1.

Using the permutation formula, it is found that the approximate probability that exactly one of the four characters will be a number is of 44%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the order is important, as a different order means a different password, hence the permutation formula is used.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

P₍ₙ,ₓ₎ = n!/(n-x)!

In this problem, the total outcomes are given by 4 characters from a set of 36(26 lower-case letters and 10 digits), hence:

P₍₃₆,₄₎ = 36!/(36-4)! = 1413720

For the desired outcomes, we have:

One number from a set of 10.

Three letters from a set of 26.

4 possible arrangements(N-L-L-L, L-N-L-L, L-L-N-L, L-L-L-N), hence:

P₍₂₆,₃₎ = 26!/(26-3)! = 624000

Hence, the probability is of:

p = D/T = 624000 /1413720 = 0.4414

Hence of approximately 44%.

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Answer:

x > -4

Step-by-step explanation:

-2x-3<5

    +3 +3

-2x<8

/-2   /-2

x>-4

Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Answer:

The radius of the circle is 3, so

Circumference = 2(3)π = 6π = 18.84

Area = π(3^2) = 9π = 28.26

Answer:

9 hours

Step-by-step explanation:

The dimensions of the box that minimize the surface area where x is the length of each side of the base and y is the height of the box are 8 cm x 8 cm x 2 cm.

To design a rectangular box with a square base and an open top, we need to determine the dimensions of the box that will minimize the surface area.

Let x be the length of each side of the base and y be the height of the box. The volume of the box must be 128 cm, so we can write the equation as x^2y=128.

Using the volume equation, we can solve for y in terms of x: y=128/x^2. Substituting this into the surface area equation, we get:

A=2x^2+4x(128/x^2)=2x^2+512/x.

We can find the critical points by taking the derivative and setting it to zero: A'(x)=4x-512/x^2=0.

Solving for x, we get x=8 cm. Substituting this into the volume equation, we get y=2 cm.

Therefore, the dimensions of the box that minimize the surface area are 8 cm x 8 cm x 2 cm.

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Using the proportional impact of perceived of the building and the flagpole, the length of the shadow cast by the nearby building will be 125 feet.

To calculate the length of both the building's shadow:

Flagpole length = lf = 40 feets

shadow of a flagpole = sf = 25 feet

Building length = lb = 200 ft

building's shadow = sb =?

(LF/SF) = (LB/SF)

(40 / 25) = (200 / sb)

Multiply by 2:

40 × sb = 200 × 25

40 × sb = 5000

sb = 5000 / 40

sb = 125 ft.

As a result, the building's shadow will indeed be 125 feet long.

Shadow Length Calculator

Divide the height of the item either by tangent of the angle from the object towards the source of light to determine the duration of the shadow.

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Answer:

-9

Step-by-step explanation:

-9, -2, 5, 12,.........

The first term is the first number in the sequence

-9

\(\sf{   }\) 

The first first term in the following arithmetic sequence

-9, -2, 5, 12, .. is -9

Answer:

The correct answer would be 9! hope this helped you

Answer:

5.21

Step-by-step explanation:

3.21x+4=10.3041+2x

1.21x=6.3041

x=5.21

Answer:

Step-by-step explanation:

V = 1/3bh or V=bh/3

cross multiply

3V = bh

divide both sides by b

3V/b = h or h = 3V/b

Answer:

your answer would be 9. hope this helps!

Answer:

-Dividing 3,024 by 336 would give you 9:

\(3,024 \div 336 = 9\)

Answer:

Ues math w/a/y

Step-by-step explanation:

ues it

Answer:

48^2 =2304 < 2345 < 2401 = 49^2

=> Smallest number should be: 2401 - 2345 = 56

Hope this helps!

:)

Answer:

56

Step-by-step explanation:

sqrt(2345) = 48.425...

Nearest integer is 49

So, the nearest perfect is 49²

49² = 2401

To be added:

2401 - 2345

56

The global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Given function is `f(x,y)=11x−5y`We need to determine the global extreme values of the given function under the following conditions:y ≥ x - 3y ≥ -x - 3y ≤ 11Now, we need to find the critical points of the given function. For that, we'll calculate partial derivatives of the given function w.r.t x and y.`∂f/∂x = 11``∂f/∂y = -5`As we can see, the partial derivative of the function w.r.t x is positive. Therefore, the critical points of the given function would be the points where `∂f/∂y = -5 = 0`.Since there's no such point satisfying the above equation under given conditions, we can say that there's no critical point under given conditions.Now, let's evaluate the function at the boundaries given:At `y = x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(x - 3)``= 6x + 15`At `y = -x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(-x - 3)``= 16x + 15`At `y = 11`, `f(x,y) = 11x - 5y``= 11x - 5(11)``= 11x - 55`Now, to find the maximum value of `f(x,y)` under given conditions, we need to choose the maximum value among the above calculated values.In this case, `f(x,y)` is maximum at `y = -x - 3`, which is `16x + 15`.Therefore, the maximum value of `f(x,y)` under given conditions is `16x + 15`.Similarly, to find the minimum value of `f(x,y)` under given conditions, we need to choose the minimum value among the above calculated values.In this case, `f(x,y)` is minimum at `y = 11`, which is `11x - 55`.Therefore, the minimum value of `f(x,y)` under given conditions is `11x - 55`.Hence, the global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

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Answer:

1/5 divided by 3 is 1/15

Step-by-step explanation:

Answer:

D. one fifteenth

Step-by-step explanation:

The common difference is 5

The formula for the nth term of an arithmetic sequence is ;

Tn = a + ( n - 1)d

Given that the parameters are;

Substitute the values

T₆ = 10 + ( 6-1) d

Subtract the values

35 = 10 + 5d

collect like terms

25 = 5d

Divide the values, we have;

d = 5

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Notando's argument for showing that the series 1 - 1/2 - 1/3 - 1/4- 1/5 - 1/6 + 1/7... is alternating

Notando's argument for showing that the series 1 - 1/2 - 1/3 - 1/4- 1/5 - 1/6 + 1/7... is alternating involves the following steps

First, he observes that the denominators of the terms in the series are all positive integers, and that they increase without bound. This means that the series does not have a finite limit, and may not converge.

Next, he considers the terms of the series in pairs, by adding together consecutive terms. Specifically, he adds the first two terms, then subtracts the third term, adds the fourth term, and so on. This gives him a new series consisting of the sums of pairs of terms

1 - (1/2 + 1/3) - (1/4 + 1/5) - (1/6 + 1/7) - ...

Notando then observes that the terms in each pair have opposite signs, and that the magnitude of the second term in each pair is strictly smaller than the magnitude of the first term. This is because the denominators of the second terms are always larger than the denominators of the first terms.

Since the terms in each pair have opposite signs and decreasing magnitudes, Notando concludes that the series consisting of the sums of pairs of terms is alternating.

Finally, Notando argues that if a series consisting of the sums of pairs of terms is alternating, then the original series is also alternating. This is because adding or subtracting a series of alternating terms preserves the alternating property.

Therefore, Notando concludes that the series 1 - 1/2 - 1/3 - 1/4- 1/5 - 1/6 + 1/7... is alternating.

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\(\bold{\huge{\purple{\underline{ Solution }}}}\)

Show that,

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{=}}{\bold{\dfrac{1}{2}}}\)

Simplifies to,

\(\bold{ 2x² + 3x - 6 = 0 }\)}

Here, We have to show that,

\(\bold{\blue{\dfrac{ 2}{2x+11}}}{\bold{\blue{-}}}{\bold{\blue{\dfrac{ 1}{x - 4}}}}{\bold{\blue{ = }}}{\bold{\blue{\dfrac{1}{2}}}}{\bold{\blue{= 2x² + 3x - 6 = 0}}}\)

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{=}}{\bold{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ 2(x-4) - 1(2x + 11)}{(2x+11)(x-4)}}{\sf{=}}{\sf{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ 2x - 8 - 2x - 11)}{2x(x-4)+11(x - 4)}}{\sf{=}}{\sf{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ - 19 }{2x² -8x + 11x - 44}}{\sf{=}}{\sf{\dfrac{1 }{2}}}\)

\(\sf{\dfrac{ - 19 }{2x² + 3x - 44}}{\sf{= }}{\sf{\dfrac{1}{2}}}\)

\(\sf{ - 19 × 2 = 2x² + 3x - 44}\)

\(\sf{ - 38 = 2x² + 3x - 44 }\)

\(\sf{ 0 = 2x² + 3x - 44 + 38}\)

\(\bold{ 2x² + 3x - 6 = 0 }\)

Hence, It is proved

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{ = }}{\bold{\dfrac{1}{2}}}{\bold{= 2x² + 3x - 6 = 0 }}\).

The required equation has been proved as shown

We are to show that 2/(2x+11) - 1/(x-4) = 1/2

Find the LCM of the expression

\(\frac{2(x-4)-(2x+11)}{(2x+11)(x-4)}=\frac{1}{2}\\ \frac{2x-8-2x-11}{(2x+11)(x-4)}=\frac{1}{2}\\\)

Cross multiply

(2x+11)(x-4) = -19(2)

2x^2 -8x + 11x - 44 = -38

2x^2 + 3x = -38 + 44

2x^2 + 3x = 6

2x^2 + 3x - 6 = 0 (prove)

The required equation has been proved

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