(x + a)(x + 3)(2x+1) = bx^3 + cx^2 + dx -1(x + a)(x + 3)(2x+1) = bx^3 + cx^2 + dx -10. find values for a b c and d​

After calculating the between group sum of squares and the within group sum of squares, the next step is to calculate the mean square between and the mean square within. This is achieved by dividing each sum of squares by its respective degrees of freedom. (Option D)

The term sum of squares is a statistical measure used in regression analysis to calculate the dispersion of data points. The sum of squares determines the deviation of data points from the mean value also known as variation. A higher sum of squares indicates higher variability while a lower result indicates low variability from the mean. It is used to determine the function that best fits i.e., which varies the least from the data. To calculate the sum of squares, subtract the data points from the mean, square the differences, and add them together. The mean square is normally defined as the arithmetic mean of the squares of a set of numbers or of a random variable. Mean square is determined by sum of squares by its respective degrees of freedom.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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You can use the law of sines here to find the measure of angle F.

The approximate measure of angle F is given by

Option B : 44. 4°

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{\sin(\angle A)}{a} = \dfrac{\sin(\angle B)}{b} = \dfrac{\sin(\angle C)}{c}\)

Remember that we took  \(\dfrac{\sin(angle)}{\text{length of side opposite to that angle}}\)

See the figure attached below for reference

Using the law of sines, we get;

\(\dfrac{\sin(\angle F)}{|GH|} = \dfrac{\sin(\angle G)}{|FH|} = \dfrac{\sin(\angle H)}{|FG|}\\\\\dfrac{\sin(\angle F)}{28} = \dfrac{\sin(90^\circ)}{40} = \dfrac{\sin(\angle H)}{|FG|}\\\)

First two terms are enough to evaluate the angle F

\(\dfrac{\sin(\angle F)}{28} = \dfrac{\sin(90^\circ)}{40} \\\\sin(\angle F) = 28 \times \dfrac{1}{40} = 0.7\\\angle F = arcsin(0.7)\\\\\angle F = 44.427^\circ\)

(i took that value of angle which comes out non negative(because no reason for distinguishing the sign and we take magnitude) and smaller than 90 degrees since the sum of all three angles of a triangle is 180 degrees)

Thus.

The approximate measure of angle F is given by

Option B : 44. 4°

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Answer: B) 44.4

Step-by-step explanation:

just did it

9514 1404 393

Answer:

     207.24 in²

Step-by-step explanation:

The "r" in the formula stands for the radius of the cylinder. That is half the diameter, so is 3 in. The "h" in the formula stands for the cylinder height, shown as 8 in. Put these values in the formula and do the arithmetic.

  SA = 2πr(r +h) = 2(3.14)(3 in)(3 in + 8 in) = 6.28(33 in²)

  SA = 207.24 in²

The Answer is Never- Hope this helps and have a great day!

Explanation:

We are given that set  A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B  (Since B is a bigger set)

                  Hence, A∩B ≠ A∪B  (Since A≠ B)

Credit to -virtuematane

Answer:

The surface area of Design A is smaller than the surface area of Design B.

The area of Design A is 94.65% of the Design B.

Step-by-step explanation:

The area of a right cone is given by the sum of the circle area of the base and the lateral area:

\( A = \pi r^{2} + \pi rL \)   (1)

Where:

r: is the radius

L: is the slant height  

The slant height is related to the height and to the radius by Pitagoras:

\( L^{2} = H^{2} + r^{2} \)  

\( L = \sqrt{H^{2} + r^{2}} \)    (2)

By entering equation (2) into (1) we have:

\( A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) \)  

Now, let's find the area of the two cases.

Design A: height that is double the diameter of the base, H= 2D = 4r

\( A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) \)  

The volume of the cone is:

\(V = \frac{1}{3}\pi r^{2}H\)

We can find "r":

\( V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} \)

\( r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm \)

The area is:

\( A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} \)  

Design B: height that is triple the diameter of the base, H = 3D = 6r                  

The radius is:

\( r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm \)  

The area is:

\(A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}\)  

Hence, the surface area of Design A is smaller than the surface area of Design B.

The percent of the surface area of Design A is less than Design B by:

\( \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% \)

Therefore, the area of Design A is 94.65% of the Design B.

I hope it helps you!

If x>5, then x+3 is also greater than 5+3=8. Therefore, |x+3| simplifies to x+3. Thus, |x+3| = x+3, if x>5.

The absolute value of a number is its distance from zero on the number line, and it is always a non-negative value. Therefore, if we are given the expression |x+3| and asked to simplify it for x>5, we can use the fact that x+3 is greater than 5+3=8 when x is greater than 5.

Thus, since the absolute value of a number is its distance from zero, we know that |x+3| must be positive when x>5, so we can write:

|x+3| = x+3, if x>5

For values of x less than or equal to 5, |x+3| would have a different simplified form, which would involve a negative sign due to the fact that x+3 would be less than or equal to zero.

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Answer:

Step-by-step explanation:

you get angle one from opposite angles = 85°

second angle :

98° x 2 = 196°

360° - 196° = 164°

164°/2 = 82°

Finding angle x:

82° + 85°  = 167°

180°-167° = 13°

x=13°

Solution:

\(y = \frac{1}{2}\)

Process of Solution:

1. Switch sides.

\(y-1=-\frac{1}{2}\)

2. Add 1 to both sides.

\(y-1+1=-\frac{1}{2} +1\)

3. Simplify.

\(y = \frac{1}{2}\)

Hope this helps!

Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:bgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvddddddddddddddddddddddddddd

Step-by-step explanation:

Answer:

Step-by-step explanation:

well it will be 16 because a square has 4 sides so you multiply by the grams that would be 4. 4*4= 16

Step-by-step explanation:

AD= 10cm DC=10cm

while in part 2

DE= 5m

Step-by-step explanation:

-3(x - 4) + x(2x + 3)

= (-3x + 12) + (2x² + 3x)

= 2x² + 12

= 2(x² + 6).

Answer:

\( - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)\)

2(x^2+6) is the right answer.

Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.

u = initial velocity = 30 :   a = -g = 32 ft/sec^2

s(0) =initial height  =4 ft.

We have the equation

where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration.  Here final velocity is found out as follows

Substitute to get

Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.

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

To reach 25 ft, put s = 25

and v must be atleast 0

Then we have  

Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.

The probability that 3 of the 22 new messages are spam is 0.0832.

The following is true about binomial distribution: the outcomes of the trials are statistically independent of each other.Binomial distribution

Binomial distribution is a discrete probability distribution.

It's commonly utilized to model events that have two possible outcomes.

A simple random sample of n items, each with a probability p of an event of interest occurring, is considered in this distribution. If the event occurs, we can refer to it as a success.

Binomial distribution has the following characteristics: There are n independent trials. There are only two outcomes in each trial. The probability of success, p, is consistent throughout all trials. The outcome of each trial is either success or failure.The formula for binomial distribution is:

\(P (x) = (nCx) (p)x (1−p)n−x\)

where:P (x) is the probability of x successes. n is the total number of trials. p is the probability of success on each trial. 1−p is the probability of failure on each trial.

x is the number of successes.

The probability that 3 of the 22 new messages are spam is 0.0832, rounded to 4 decimal digits.

How to calculate it?

Using the formula,

\(P (x) = (nCx) (p)x (1−p)n−x\)

we have:

\(P (3) = (22C3) (0.3)3 (1−0.3)22−3 = 1540 (0.3)3 (0.7)19 ≈ 0.0832\)

Therefore, the probability that 3 of the 22 new messages are spam is 0.0832.

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Answer:

for 1st depositsx

p=$36000

r=2.6%

t=9years

compound amount =p(1+r/100)^t

=$36000(1+2.6/100)^9=$45355.37

for another deposit.

p=$36000

r=2.6%

t=9years

simple amount

=ptr/100=36000×2.6×9/100=$8424

total amount =$8424+$36000=$44424

the sum of the balances of these accounts at the end of 9 years=$44424+$45355.37=$89,779.37

Answer:

y -3 = -4(x+2)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -3 = -4(x- -2)

y -3 = -4(x+2)

The language \(\bar L\) is the complement of the language L. It consists of all strings over the alphabet Σ= {a,b} that are not in L.

The language L is defined as L= {λ,a,b,aa,bb,ab,ba}. To find the complement of L, we need to determine all the strings that are not in L.

The alphabet Σ= {a,b} consists of two symbols: 'a' and 'b'.

Therefore, any string not present in L must contain either symbols other than 'a' and 'b', or it may have a different length than the strings in L.

The complement of L, denoted by \(\bar L\). includes all strings over Σ that are not in L.

In this case, \(\bar L\) contains strings such as 'aaa', 'bbbb', 'ababab', 'bbba', and so on.

However, it does not include any strings from L.

In summary, \(\bar L\) is the set of all strings over Σ={a,b} that are not present in L.

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Answer:

4.55x10-9

Step-by-step explanation:

The second deal is better and the unit rate of the better deal is;

⇒ $39 per gram.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The pair of better deal are,

⇒ $224 for 7 g

⇒ $324 for 9 g

Now,

First deal is,

⇒ $224 for 7 g

So, For 1 gram = $224 / 7

                      = $32

And, Second deal is;

⇒ $324 for 9 g

So, For 1 gram = $324 / 7

                      = $39

Thus, The second deal is better and the unit rate of the better deal is;

⇒ $39 per gram.

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Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

Step-by-step explanation:

Answer: To solve this problem, we need to use the central limit theorem to find the distribution of the sample means. The central limit theorem states that if we take random samples of size n from a population with a mean μ and a standard deviation σ, the distribution of the sample means approaches a normal distribution with a mean of μ and a standard deviation of σ/√n, as n gets larger.

In this case, we have a population of healthy humans with a mean temperature of μ = 98.6 degrees and a standard deviation of σ = 0.8 degrees. We want to find the probability that the average temperature for a sample of 130 healthy people is 98.25 degrees or higher. The sample size is large enough to use the normal distribution to approximate the distribution of the sample means.

The z-score corresponding to a sample mean of 98.25 degrees is:

z = (98.25 - 98.6) / (0.8 / sqrt(130)) = -1.91

Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than -1.91:

P(Z > -1.91) = 0.9719

Therefore, the probability that the average temperature for a sample of 130 healthy people is 98.25 degrees or higher is approximately 0.9719 or 97.19%.

Step-by-step explanation:

Answer:

numerator and denominator

Answer:

Option one (x-2)(x-3)

Step-by-step explanation:

We have x²-5x+6 =0

X²-3x-2x+6=0

X(x-3)-2(x-3)=0

(x-2)(x-3)=0

Answer:

1/3

Step-by-step explanation:

9/27 simplified is 1/3

According to the question we have  the correct answer is option 2, with a volume of 1664 cubic units.

The volume of the solid lying under the circular paraboloid z = x^2 + y^2 and above the rectangle R = (-4, 4] x [-6, 6] can be found using a double integral. First, set up the integral with respect to x and y over the given rectangular region:

Volume = ∬(x^2 + y^2) dA

To evaluate this integral, we will use the limits of integration for x from -4 to 4, and for y from -6 to 6:

Volume = ∫(from -4 to 4) ∫(from -6 to 6) (x^2 + y^2) dy dx

Now, integrate with respect to y:

Volume = ∫(from -4 to 4) [(y^3)/3 + y*(x^2)](from -6 to 6) dx

Evaluate the integral at the limits of integration for y:

Volume = ∫(from -4 to 4) [72 + 12x^2] dx

Next, integrate with respect to x:

Volume = [(4x^3)/3 + 4x*(72)](from -4 to 4)

Evaluate the integral at the limits of integration for x:

Volume = 1664

Therefore, the correct answer is option 2, with a volume of 1664 cubic units.

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Based on the mentioned boxplot and the informations provided, it appears that there are around 8 undergraduate statistics students who are 69 inches or taller.

A boxplot is a graphical representation of a dataset that summarizes the distribution of the data. The boxplot shows the range of the data, the median, and the quartiles (the 25th and 75th percentiles) of the data. In this specific boxplot, we can see that the upper whisker extends to about 70 inches, which means that any values above that would be considered outliers.

The box also extends up to around 68.5 inches, and since the box contains 50% of the data, we can infer that approximately half of the students are 68.5 inches or taller. Therefore, we can estimate that approximately 8 students (half of the 16 students) are 69 inches or taller.

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The ordered pairs that are solutions to the inequality in this problem are given as follows:

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The ordered pairs that are solutions to the inequality are in the shaded region for this problem, hence they are given as follows:

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The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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