Consider the linear inequality:
y > −x + 3

Determine whether the ordered pair (5,-2) is a solution of the inequality.

If the ordered pair is a solution, explain why.

As the sample size (n) increases, the power of the statistical test also increases.

The power of a statistical test measures the ability of the test to detect a true effect or reject a false null hypothesis. In this case, the investigator states that the power of his test at a significance level of 1% is 0.87. If the sample size (n) increases, the power of the test increases.

Increasing the sample size generally leads to an increase in the power of a statistical test. This is because a larger sample size provides more information and reduces the variability in the data. With a larger sample size, the test has a greater chance of detecting a true effect and rejecting the null hypothesis when it is false. Consequently, the power of the test increases.

In summary, as the sample size (n) increases, the power of the statistical test also increases. This is because a larger sample size enhances the test's ability to detect true effects and reject false null hypotheses, resulting in higher statistical power. Therefore, in this scenario, increasing the sample size would lead to an increase in the power of the test.

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Answer:b

Step-by-step explanation:

Answer:

a) 4536= Four thousand five hundred and thirty six.

b) 3456 is the smallest number.

c) 6543 is the largest odd number formed.

The required answer is the y = 3x - 7.

The slope-intercept form of a linear equation is written as y = mx + b, where m represents the slope and b represents the y-intercept. To find the equation of a line when you know the slope and y-intercept, simply substitute the values into the equation.

step-by-step explanation:

1. Start with the equation y = mx + b, where m is the slope and b is the y-intercept.
2. Identify the given slope and y-intercept values.
3. Substitute the given values into the equation.
  - Replace the variable m with the given slope value.
  - Replace the variable b with the given y-intercept value.
4. Simplify the equation by performing any necessary calculations.

For example, the slope is 3 and the y-intercept is -7. substitute these values into the equation:

y = 3x - 7.

The equation of the line, given the slope of 3 and the y-intercept of -7, is y = 3x - 7.

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In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰

We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.

The given angles are

31⁰,  (x+4)⁰,  (3x+9)⁰

The sum of angles of the triangle

31+x+4+3x+9=180⁰

44+4x=180⁰

Collecting like terms

4x=136

Dividing by 4

x=34⁰

Substituting the value of x=34 in the given angles we have

R= 31⁰,             given

 (x+4)⁰   = 34+4=38⁰,  (3*34+9)⁰=111⁰

In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

Step-by-step explanation:

Here's the complete question:

It cost Nike $55.00 to make the Kyrie 5, but it is selling for $130.19. Calculate the markup/percent Increase for the shoe. On Amazon, you found the same shoe for $108. What is the percent difference between the price of the original shoe and the price of the amazon shoe

The percentage Increase of the shoe will be:

= Selling price - Cost/ Cost × 100

= (130.19 - 55.00) / 55.00 × 100

= 75.19 / 55.00 × 100

= 136.71%

The percent difference between the price of the original shoe and the price of the amazon shoe will be:

= (130.19 - 108)/130.19 × 100

= (22.19 / 130.19) × 100

= 17%

Answer:

the negative 5 is showing that you are losing grain in the silo because you are letting some out.

Answer: you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.

To calculate the amount you need to set aside from your lottery winnings, we can use the concept of present value. Present value is the current value of a future amount of money, taking into account the time value of money and the interest rate.

First, let's calculate the present value of receiving $2,000 at the end of every 3 months for 6 years.

Since the interest is compounded semi-annually, we need to adjust the interest rate accordingly. The interest rate of 5% compounded semi-annually is equivalent to a nominal interest rate of 5% divided by 2, or 2.5% per compounding period.

Now, let's calculate the number of compounding periods for 6 years. There are 4 quarters in a year, so 6 years is equivalent to 6 x 4 = 24 quarters.

Using the formula for present value of an ordinary annuity, we can calculate the amount you need to set aside:

PV = P * (1 - (1 + r)^(-n)) / r

Where:
PV = Present Value
P = Payment per period ($2,000)
r = Interest rate per period (2.5%)
n = Number of compounding periods (24)

PV = $2,000 * (1 - (1 + 0.025)^(-24)) / 0.025
PV = $2,000 * (1 - 0.503212) / 0.025
PV = $2,000 * 0.496788 / 0.025
PV ≈ $39,742.72

Therefore, you would need to set aside approximately $39,742.72 from your lottery winnings to receive $2,000 at the end of every 3 months for 6 years, assuming a 5% interest rate compounded semi-annually.

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Answer:

16

Step-by-step explanation:

\(4^{-2} /4^{-4}\\=0.0625/0.0039\\=16\)

The left side of the equation is equal to the right side, which confirms that a = 11/10 is the correct solution.

To solve the equation, we need to isolate the variable "a". The equation is given as a - 1/2 = 3/5.
To eliminate the fraction, we can multiply both sides of the equation by the least common denominator (LCD), which is 10. This will clear the fractions and make the equation easier to solve.
Multiplying the left side of the equation by 10, we get:
10(a - 1/2) = 10(3/5)
10a - 5 = 6
Next, we can simplify the equation by adding 5 to both sides:
10a - 5 + 5 = 6 + 5
10a = 11
Finally, we can solve for "a" by dividing both sides of the equation by 10:
(10a)/10 = 11/10
a = 11/10
Therefore, the solution to the equation is a = 11/10 or a = 1 1/10.
To check the solution, substitute a = 11/10 back into the original equation:
11/10 - 1/2 = 3/5
(11/10) - (5/10) = 3/5
6/10 = 3/5
In summary, the solution to the equation a - 1/2 = 3/5 is a = 11/10 or a = 1 1/10. This solution has been checked and is correct.

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Answer:

5.214

Step-by-step explanation:

Answer:

The average rate of change between year 1 and year 4 is $500-$100/(4-1) years = $400/3 years = $133.33 per year. This statement accurately calculates the average rate of change in cost.

To determine the correctness of the observations based on the graph, we need to carefully analyze the information presented.

Observation 1 states that the cost of maintaining the machine is constantly rising. However, this statement is incorrect as there is a flat spot and a downward trend from 4 to 6 years, indicating a decrease in maintenance costs during that period.

Observation 2 claims that the cost of maintenance is $300 for the first 3 years. This statement is also incorrect since the graph shows a rising trend in the cost during the first 3 years, and it is only in the third year that the cost reaches $300. The cost is not constant for the entire period.

Observation 3 states that the average rate of change between year 1 and year 4 is $400/400 = $100/year. This statement is incorrect because the change in time from year 1 to year 4 is actually 3 years, not 4. Therefore, the correct calculation would be $400/3 years, which is approximately $133.33 per year.

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Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

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 that exactly 4 of the randomly selected HR managers say job applicants should follow up within two weeks is approximately 0.049.

To solve this problem, we can use the binomial probability formula. The formula for the probability of exactly k successes in n trials is:

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

Where:

P(X = k) is the probability of exactly k successes

n is the number of trials

k is the number of successes

p is the probability of success in a single trial

In this case, we have:

n = 9 (number of HR managers)

k = 4 (number of HR managers who say job applicants should follow up within two weeks)

p = 0.65 (probability of success)

Using the formula, we can calculate the probability:

P(X = 4) = (9C4) * (0.65)^4 * (1 - 0.65)^(9 - 4)

Calculating the values:

(9C4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = 126

(0.65)^4 ≈ 0.179

(1 - 0.65)^(9 - 4) ≈ 0.022

P(X = 4) ≈ 126 * 0.179 * 0.022 ≈ 0.049

Therefore, the probability that exactly 4 of the randomly selected HR managers say job applicants should follow up within two weeks is approximately 0.049.

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Answer:

x = 8

Step-by-step explanation:

6x - 3 = 5x + 5

Move variable to the left hand side and change their sign.

Calculate like terms.

Move constant to the right hand side and change their sign.

Check our answer :-

6x -3 = 5x + 5

plug the 8 as x.

LHS = RHS

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Answer:

The number 0 is both real and imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.

Step-by-step explanation:

so i would say no but thats for you to decide

Answer:  The slope of (-8, 18) and (-14, -3) would be 3.5.

Step-by-step explanation:  By using a simple calculator, specifically the TI-84 Plus CE, you can put the points you mentioned in stat and it’ll give you an equation based on those points.  The equation I got was y = 3.5x + 46.  The number attached to the X is your slope.

Answer:

or D

There are 120 different samples of size 3 that can be taken from a finite population of size 10 without replacement.

To calculate the number of different samples of size 3 that can be taken from a finite population of size 10 without replacement, we can use the concept of combinations.

The formula for calculating combinations is given by:

C(n, k) = n! / (k! * (n - k)!)

Where n is the population size and k is the sample size.

In this case, n = 10 (population size) and k = 3 (sample size).

Using the formula, we can calculate the number of combinations:

C(10, 3) = 10! / (3! * (10 - 3)!)

= 10! / (3! * 7!)

= (10 * 9 * 8) / (3 * 2 * 1)

= 120

Therefore, there are 120 different samples of size 3 that can be taken from a finite population of size 10 without replacement.

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Answer:

it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7

Answer:

your slope 1/7x and your y-int is -1/7. Hope this helps!

Step-by-step explanation:

Answer:

9 Hours

Step-by-step explanation:

290 divided by 5 = 58MPH

^  miles divided by hours

522 divided by 58 = 9 Hours

^ miles divided by the MPH

Answer:

9 hours

Step-by-step explanation:

290 miles-->  5 hours

1 miles--> 5/290 hours

522 miles --> (5/290)*522 = 9 hours

Answer:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Step-by-step explanation:

a 64°

b 116°

c 116°

d 64°

e 108°

f 72°

g 108°

h 72°

i 108°

j 108°

k 108°

m 105°

n 79° = opposite angle

p 90° = 180-90=90

q 116° = since m is 105, and the third angle is 180-169=11, the angle next to q is 64.  180-64=116

s 72°

t 119°

Answer:

d = 64°

c = 180° - 64° = 116°

a = 64°

b = 180° - 64° = 116°

m = 180° - 75° = 105°

t = 180° - 61° = 119°

f = 180° - 108° = 72°

g = 108° = e

h = 180° - 108° = 72°

i = j = g = 108°

k = i = 108°

s = 180° - 108° = 72°

n = 79°

p + n + 75° + q = 360° (their vertices form a quadrilateral)

--> q = 360° - 90° - 79° - 75° = 116°

(i see that n,p,q don't have any special relationships at all but i'm not sure about that, sorry)

Answer:

nine dollars and 27 cents

Step-by-step explanation:

if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents

Yw!

Answer:

9.25

Step-by-step explanation:

subtract 5.25 from 14.50

Answer:

Yes.

because 2:3 =0.666...

Step-by-step explanation:

Answer:

yes i agree

Step-by-step explanation:

i agree because 0.66 is 2/3 of 1 if you take 1 and divide it by 3 you get 0.33 which would be 1/3 so 2/3 would be 0.66

Answer:

you can plug the point into the inequality and see if it works

Step-by-step explanation:

If I have xy>4 and I want to test the point 4,6 I would take xy which would be 4 and 6 because those are the numbers from the coordinates. when writing coordinates x is the first number and y is the second. 4 times 6 because x times y which is xy is equal to 24 now we have 24>4 and this is true