simplify expression -3√2+ 3√8

Answer:

2x-3<x+2<3x+5

2x-3<x+2 or 2x-x<2+3 or x<5

x+2=3x+5 or x-3x<5-2 or 2x<3

Step-by-step explanation:

plz brainless

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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The probability of a random variable X following a continuous uniform distribution from 20 to 45, inclusive, lying between 30 and 40 is 3/5 or 0.6.

The given continuous uniform distribution is defined from 20 to 45, inclusive. The probability that the random variable X lies between two numbers can be determined by calculating the area under the curve between those two numbers using the probability density function (pdf) of the uniform distribution. In this case, the pdf is given by `f(x) = 1 / (b - a)`, where `a` and `b` are the minimum and maximum values of the distribution. Here, `a = 20` and `b = 45`, so `f(x) = 1/25`.

To find `P(30 ≤ X ≤ 40)`, we need to integrate the pdf between 30 and 40, inclusive. The probability can be calculated as follows:

`P(30 ≤ X ≤ 40) = ∫30⁄25`20 `dx + ∫40⁄25`30 `dx`

`P(30 ≤ X ≤ 40) = 1/25 * [x]`3040 `+ 1/25 * [x]`4045

`P(30 ≤ X ≤ 40) = (40 - 30)/25 + (45 - 40)/25`

`P(30 ≤ X ≤ 40) = 10/25 + 5/25`

`P(30 ≤ X ≤ 40) = 15/25`

`P(30 ≤ X ≤ 40) = 3/5`

Therefore, the probability of a random variable X following a continuous uniform distribution from 20 to 45, inclusive, lying between 30 and 40 is 3/5 or 0.6.

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Answer:

(3,-21)

Step-by-step explanation:

Answer:

-32+20x

Step-by-step explanation:

Times the -16 and the two.

The probability of a single introvert (0.5) raised to the 5th power= 0.031

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurrence. It is a way to quantify the uncertainty associated with an event or a set of events. In simple terms, probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the probability that 10 or more are extroverts, we can use the cumulative distribution function (CDF) of the binomial distribution:

P (X ≥ 10) = 1 - P (X < 10)

= 1 - Σi=0^9 (15 choose i) \((0.75^{i}\)) \((0.25)^{15-i}\)

= 1 - 0.040

= 0.960

To find the probability that 5 or more are extroverts, we can use the CDF again:

P (X ≥ 5) = 1 - P (X < 5)

= 1 - Σi=0^4 (15 choose i) \((0.75)^{i}\) \((0.75)^{(15-i)}\))

= 1 - 0.836

= 0.164

To find the probability that all 15 are extroverts, we simply need to calculate the probability of a single extrovert (0.75) raised to the 15th power:

P (X = 15) = \((0.75)^{15}\)

≈ 0.035

(b) Let Y be the number of introverts in a group of 5 computer programmers. Since the probability of any individual being an introvert is 0.5, Y follows a binomial distribution with parameters n = 5 and p = 0.5.

To find the probability that none are introverts, we can calculate P (Y = 0):

P (Y = 0) = \((0.5)^{5}\)

= 0.031

To find the probability that 3 or more are introverts, we can use the CDF of the binomial distribution:

P (Y ≥ 3) = 1 - P (Y < 3)

= 1 - Σi=0^2 (5 choose i) \((0.5)^{i}\) \((0.5)^{5-i}\)

= 1 - 0.438

= 0.562

To find the probability that all 5 are introverts, we simply need to calculate the probability of a single introvert (0.5) raised to the 5th power:

P (Y = 5) = \((0.5)^{5}\)

= 0.031

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A. True

B. True

C. True

D. False

A. In a randomized block design, each block is a group of experimental units that are similar with respect to some known characteristic. Each block is randomly assigned to one treatment to reduce variability within blocks.

B. In a completely randomized experimental design ANOVA procedure, the MSE (mean square error) represents the within-treatment estimate of population variance. The MSE is a measure of the variability of the data within each treatment group.

C. For full factorial experimental design ANOVA procedure, the f-statistic can be calculated by taking the mean square due to treatments divided by the mean square due to error. The f-statistic is used to test whether the treatments have a significant effect on the response variable.

D. Randomization is the process of assigning the treatments to the experimental units in a random and unbiased manner to minimize the effect of extraneous variables. The goal of randomization is to ensure that the differences between the treatment groups are due to the treatments themselves and not to any systematic differences between the groups. Therefore, the statement that randomization is the process of assigning the treatments to the experimental units in a systematic or subjective basis is false.

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Researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

a. The wordings of the questions contain the word "destroyed" and "80 acres per minute," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

b. The question contains the phrase "vanishing tropical forests," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

c. The question is loaded with the phrase "man-made extinction of animal and plant species," hence, the respondents could lean more towards the idea of the need to prevent it. The question is likely to elicit responses directed toward prevention and preservation.

d. The question contains the phrase "changes in the earth’s atmosphere," which suggests a link between the destruction of tropical forests and changes in the earth’s atmosphere. The question is likely to elicit responses that lean towards agreeing with the statement made in the question. 

Therefore, researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

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Answer:

The answer is 14.525

Step-by-step explanation:

10. 347

+ 4. 178

_________

14 . 525

Thus, the answer is 14.525.

Answer:

7:11

Step-by-step explanation:

The ratio is 56:88

We simplify by 8 and get the ratio

7:11

We can't simplify anymore, so the answer is 7:11

Answer:

the best deal is 4 candy bars for $2.80

Step-by-step explanation:

4/5= 80 cents

2.8/4= 70 cents

7.2/10= 72 cents

1.5/2= 75 cents

the best deal is 4 candy bars for $2.80

Answer:

Step-by-step explanation:

210x550=115500

115,500 divide 10,000=11.55?

The congruence theorem that will prove △BDA and △DBC is A. Hypotenuse-leg (HL) congruence.

Determining the right congruence theorem that will prove △BDA and △DBC after being provided a schematic of two right triangles.

Since we are aware that the hypotenuse-leg theorem stipulates that if the hypotenuse and one of the right triangles' legs are congruent with their equivalent hypotenuses in other right triangles, the triangles are said to be congruent.

We can see from our diagram that hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

We can see that triangles BDA and DBC share a common side DB.

Using Pythagorean theorem we will get

CD² = DB²+BC²

AB = DB²+AD²

given that CD=AB, Upon using this information we will get,

DB²+BC² = DB²+AD²

subtracting DB² from both sides of our equation we will get,

BC² = AD²

Cutting squares on both sides

BC = AD

Hence, by HL congruence △BDA ≅ △DBC.

Note that the full question is:

Which congruence theorem can be used to prove △BDA ≅ △DBC?

A. HL

B. SAS

C. AAS

D. SSS

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Answer:117

Step-by-step explanation:

I’m good at math

Answer:

117 Roses

Step-by-step explanation:

234 *0.5 = 117

Answer:

B.

Step-by-step explanation:

214 degree terminates in the 3rd quadrant.

Sine and cosines are both negative there.

This means that sin(214)<0 and cos(214)<0.

If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.

Answer:

20+35x=40+25x, 35x- 25x=40-20, 10x=20, x=2 , 2 sessions

a) Deposit around $6,825.23 annually for 12 years with a 12% interest rate compounded monthly to have $250,000.  b) For continuous compounding, deposit approximately $5,308.94 annually.

a) To calculate the annual deposit required with a 12% interest rate compounded monthly, we can use the formula for the future value of an ordinary annuity:\[ FV = P \times \left( \frac{{(1 + r/n)^{n \times t} - 1}}{{r/n}} \right) \]

Where:FV = Future Value ($250,000)

P = Annual deposit

r = Interest rate per period (12% or 0.12)

n = Number of compounding periods per year (12)

t = Number of years (12)

Rearranging the formula and plugging in the values, we have:

\[ P = \frac{{FV \times (r/n)}}{{(1 + r/n)^{n \times t} - 1}} \]

\[ P = \frac{{250,000 \times (0.12/12)}}{{(1 + 0.12/12)^{12 \times 12} - 1}} \]

\[ P \approx \$6,825.23 \]Therefore, you would need to deposit approximately $6,825.23 annually.

b) If the interest is compounded continuously, we can use the formula for continuous compounding:\[ FV = P \times e^{r \times t} \]

Where:FV = Future Value ($250,000)

P = Annual deposit

r = Interest rate per year (12% or 0.12)

t = Number of years (12)

Rearranging the formula and substituting the given values:

\[ P = \frac{{FV}}{{e^{r \times t}}} \]

\[ P = \frac{{250,000}}{{e^{0.12 \times 12}}} \]

\[ P \approx \$5,308.94 \]Thus, you would need to deposit approximately $5,308.94 annually.



Therefore, a) Deposit around $6,825.23 annually for 12 years with a 12% interest rate compounded monthly to have $250,000.  b) For continuous compounding, deposit approximately $5,308.94 annually.

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If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

There are many different types of symbolism that can be used in literature, art, and other forms of expression. Here are three common types of symbolism - religious, romantic, and emotional symbolism.

Religious symbolism: This type of symbolism uses objects, actions, or concepts that are associated with a particular religion or belief system to represent spiritual or transcendent ideas.

Romantic symbolism: This type of symbolism uses objects, actions, or concepts that are associated with love, romance, or emotion to represent feelings or states of mind.

Emotional symbolism: This type of symbolism uses objects, actions, or concepts that are associated with specific emotions to represent those emotions or to evoke them in the audience.

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We will calculate fF.dr where F=cost i+3sint j: fF.dr = f(cost i+3sint j).dr = (cost i+3sint j).(dx/dt+idy/dt+dz/dt) = cos t+3sin t.Therefore, the options provided in the question are not sufficient for the answer.

Let's find out the value of e value of fF.dr where F

=1+2z3 and F

=cost i+3sint jFirst, let's calculate fF and df/dx and df/dy for F

=1+2z3fF

= f(1+2z3)

= (1+2z3)^2df/dx

= f'(1+2z3)

= 4x^3df/dy

= f'(1+2z3)

= 6y^2

Now, let's calculate fF.dr: fF.dr

= (1+2z3)^2(dx/dt+idy/dt+dz/dt)

= (1+2z3)^2(1,2,3)

.We will calculate fF.dr where F

=cost i+3sint j: fF.dr

= f(cost i+3sint j).dr

= (cost i+3sint j).(dx/dt+idy/dt+dz/dt)

= cos t+3sin t

Therefore, the options provided in the question are not sufficient for the answer.

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Answer:

x cant be 1 or 4 or you will divide by zero

Step-by-step explanation:

Switch x and y and solve for y to get restricted values of y

By studying the mean and standard deviation,

The value of test statistic z is 1.897

What is mean and standard deviation?

Suppose there is a data set. Mean is the average of all the values of the data set

Before knowing about standard deviation, it is important to know about variance first.

Variance is the sum of the square of deviation from mean.

On taking the square root of variance, standard deviation is obtained.

Population mean = 5.5

Population standard deviation = 2

Sample size = 10

Sample mean = 6.7

Test statistic z =

                        \(\frac{6.7 - 5.5}{\frac{2}{\sqrt{10}}}\\\\1.897\)

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Answer:

$116

Step-by-step explanation:

please refer to the above

Answer:

x=1/2, y=4

Step-by-step explanation:

2x+3y=13

or,y=(13-2x)/3 ........eq(i)

4x-y=-2

or,y=4x+2 ..............eq(ii)

From eq(i) and (ii),

(13-2x)/3=4x+2

or,13-2x=12x+6

or,13-6=12x+2x

or,7=14x

or,x= 7/14

x=1/2

y=4×(1/2)+2

y=4

Answer:

89, 90, and 91

Answer: 89, 90 and 91

Step-by-step explanation:

89 + 90 + 91 = 270

Answer:

y = 3.61

Step-by-step explanation:

given y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

to find k use the condition y = 4.75 when x = 38 , then

4.75 = \(\frac{k}{38}\) ( multiply both sides by 38 )

180.5 = k

y = \(\frac{180.5}{x}\) ← equation of variation

when x = 50 , then

y = \(\frac{180.5}{50}\) = 3.61

If y varies inversely with x, it means that their product remains constant.

We can set up the equation as follows:

y = k/x

where k is the constant of variation.

To find the value of k, we can substitute the given values into the equation:

4.75 = k/38

To solve for k, we can multiply both sides of the equation by 38:

4.75 * 38 = k

k ≈ 180.25

Now that we have the value of k, we can use it to find y when x = 50:

y = (180.25)/50

y ≈ 3.605

Therefore, when x = 50, y ≈ 3.605.

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Answer:

x=4

Step-by-step explanation:

5x-20=0

  +20   +20

5x=20

5     5

x=4

Add 20 to both sides cancelling out the left side.

Than  you divide 5 leaving the x on one side and 20 over 5 which is 4