QuestionReflect (4,5) in the x-axis followed by the y-axis. QuestionReflect (4,5) in the x-axis followed by the y-axis

Answer: y=2x+6

Step-by-step explanation:

8x-4y=-24

-8x-4y=-8x

-4y=-8x-24

-4          -4

y=8/4x+24/4

Answer is y=2x+6

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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:

Step-by-step explanation:

s(16/100)=48

16s=4800

s=300

So there are a total of 300 students.

Answer:

The sum of all the even integers between 99 and 301 is 20200

Step-by-step explanation:

For the sum of all the even integers between 99 and 301, this can be calculated using the formula for Sum of n terms in an Arithmetic Progression (AP)

Sum of n terms in an AP \(S_{n}\)= \(\frac{n }{2}[ 2a + (n - 1)d]\)

Where \(n\) is the number of terms

\(a\) is the first term

and \(d\) is the common difference

The AP for the sum of all the even integers between 99 and 301 will look like

100 + 102 + 104 + ... + 300

\(a\) = 100

\(d\) can be calculated by taking the difference of the first two terms or any two consecutive terms of the AP

Hence, \(d\) = 102 - 100 = 2

\(n\) can be determined from the formula used to calculate the Last term of an AP

\(l = a + (n - 1)d\)

Where \(l\) is the last term

In the AP, the last term, \(l\) = 300

Then

\(300 = 100 + (n - 1)2\\300 - 100 = (n - 1)2\\200 = (n - 1) 2\\(n - 1) = 200 / 2\\n - 1 = 100\\n = 100 + 1\\n = 101\)

Hence, there are 101 terms in the AP

Now, to determine the sum

\(S_{n}\)= \(\frac{n }{2}[ 2a + (n - 1)d]\)

\(S_{n} =\frac{101}{2}[ 2(100) + (101 - 1)2]\\ S_{n}=\frac{101}{2}[ 200 + (100)2]\\ S_{n}=\frac{101}{2}[ 200 + 200]\\S_{n}=\frac{101}{2}[ 400]\\S_{n} = 20200\)

Hence, the sum of all the even integers between 99 and 301 is 20200

A model of the expression is shown in the graph attached below.

In Geometry, a number line simply refers to a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values (numbers) that are located at equal intervals along its length.

In this scenario and exercise, we would determine the solution to the given expression by solving for x as follows;

x = -3 - 2 1/3

x = -3 - 7/3

x = (-9 - 7)/3

x = -16/3

In this exercise, we would use an online graphing calculator to plot the given solution x = -16/3 as shown on the number line (graph) attached below.

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Rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.

To rewrite 48 - 28 using the Distributive Property and the GCF of the numbers, follow these steps:
Step:1. First, find the GCF (Greatest Common Factor) of 48 and 28.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 28 are: 1, 2, 4, 7, 14, 28
The GCF of 48 and 28 is 4.
Step:2. Now, use the Distributive Property to factor out the GCF from both numbers.
48 - 28 = 4(12) - 4(7)
Step:3. Distribute the GCF to both terms in parentheses.
48 - 28 = 4(12 - 7)
Step:4. Finally, simplify the expression inside the parentheses.
48 - 28 = 4(5)
So, rewriting 48 - 28 using the Distributive Property and the GCF of the numbers, you get 4(5) = 20.

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1. The sample mean is 24 minutes. The population mean is 27 minutes. The estimated margin of error of the sample population is 3.5 minutes.

2. The difference in the means of the two groups is 7%. The difference in the means is not due to chance.

3. The point estimate for the percent who want to change the town's name is 0.82. The poll's margin of error is 0.04.

1a) The sample mean is calculated as follows:

(31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 12 = 24 minutes

The population mean is calculated as follows:

(31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 27 = 27 minutes

b) The estimated margin of error is calculated as follows:

z * s / sqrt(n) = 1.96 * 6.2 / sqrt(12) = 3.5 minutes

2. The difference in the means of the two groups is calculated as follows:

88% - 81% = 7%

The point estimate for the percent who want to change the town's name is calculated as follows:

(0.86 + 0.78) / 2 = 0.82

The poll's margin of error is calculated as follows:

(0.86 - 0.78) / 2 = 0.04

3. I think the town is most likely to change its name, because the point estimate is greater than 0.5 and the margin of error is small. This means that it is likely that the majority of adults in the town want to change the name.

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Answer:

y=-2/3x-2

Step-by-step explanation:

slope= -2/3

y=-2/3x+b  

enter the given points  

2=4+b  

b=-2  

y=-2/3x-2

hope this helps

Answer:

Step-by-step explanation:

(15-2)

Answer:

2 · 13

Step-by-step explanation:

PEMDAS. c:

The car is traveling with the speed of 0.25 miles/min.

For the stated question:

Distance travelled by car ; d =  5 miles

Time taken by the care: t = 20 minuts.

Using the formula for the speed:

speed = distance /time

s = d /t

s = 5 / 20

s = 0.25 miles/min

Thus, the car is traveling with the speed of 0.25 miles/min.

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the correct question is-

A car travels 5 miles in 20 minutes. How fast was it traveling (in miles/min)

Answer:

Reflection across line y=2

Step-by-step explanation:

Jonathan attempted a total of 960 free throws in the season.

To find the total number of free throws Jonathan attempted, we need to determine the percentage of free throws he made.

Since he misses 5% of the free throws, it means he makes 95% of them.

Let's set up the proportion:

Missed free throws / Total free throws = Percentage missed / 100%

48 / Total free throws = 5 / 100

48 x 100 = Total free throws x 5

4800 = 5 x Total free throws

Total free throws = 4800 / 5

Total free throws = 960

Therefore, Jonathan attempted a total of 960 free throws in the season.

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There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

(A) The modified payoff matrix for the matching pennies game with the updated losing payoffs is as follows:

         Player 2

         Heads (H)     Tails (T)

Player 1  +1, -1        -6, +6

Heads (H)

Tails (T) -10, +10      +1, -1

(B) The diagrams showing each player's pair of expected payoff lines and the other player's equilibrium decision probability are as follows:

Player 1's Expected Payoff Line:

H      T

Probability:  p1     1-p1

Expected Payoff:  p1(-6) + (1-p1)(+1)

Player 2's Expected Payoff Line:

H      T

Probability:  p2     1-p2

Expected Payoff:  p2(-10) + (1-p2)(+1)

The equilibrium decision probability for each player will be the value that maximizes their expected payoff. In this case, player 1 will choose heads (H) with probability p1* and player 2 will choose tails (T) with probability p2*.

(C) To calculate the numerical values of the Nash equilibrium probabilities (p1*, p2*), we need to find the values that maximize each player's expected payoff.

For player 1:

Expected Payoff = p1(-6) + (1-p1)(+1)

= -6p1 + 1 - p1 + p1

= -5p1 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp1 (-5p1 + 1) = -5 = 0

-5 = 0 (No solution)

For player 2:

Expected Payoff = p2(-10) + (1-p2)(+1)

= -10p2 + 1 + p2 - p2

= -9p2 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp2 (-9p2 + 1) = -9 = 0

-9 = 0 (No solution)

There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

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Answer:

13 + 12√2

Step-by-step explanation:

Not sure if there's an easier way, but here's my method:

Draw the radius lines from the center of the circle to each vertex of the octagon.  This will divide the octagon into 8 isosceles triangles, 4 big and 4 small.

Draw the height of one of the big triangles.  Define the angle between the height and the radius as A.  Similarly, draw the height of one of the small triangles.  Define the angle between the height and the radius as B.

Using trig, we can say:

sin A = 1.5 / r

sin B = 1 / r

The vertex angle of the large isosceles triangle is 2A, and the vertex angle of the small isosceles triangle is 2B.  Therefore:

4(2A) + 4(2B) = 360

A + B = 45

If we substitute into the first trig equation:

sin(45 − B) = 1.5 / r

sin 45 cos B − cos 45 sin B = 1.5 / r

1/√2 cos B − 1/√2 (1/r) = 1.5 / r

cos B − 1/r = 1.5√2 / r

cos B = (1 + 1.5√2) / r

If we substitute into the second trig equation:

sin(45 − A) = 1 / r

sin 45 cos A − cos 45 sin A = 1 / r

1/√2 cos A − 1/√2 (1.5/r) = 1 / r

cos A − 1.5/r = √2 / r

cos A = (1.5 + √2) / r

Using SAS area of a triangle, the area of the large triangle is:

Area = ½ r² sin(2A)

Area = ½ r² (2 sin A cos A)

Area = r² sin A cos A

Area = (r sin A) (r cos A)

Area = (1.5) (1.5 + √2)

Area = 2.25 + 1.5√2

Similarly, the area of a small triangle is:

Area = ½ r² sin(2B)

Area = ½ r² (2 sin B cos B)

Area = r² sin B cos B

Area = (r sin B) (r cos B)

Area = (1) (1 + 1.5√2)

Area = 1 + 1.5√2

So the total area is:

Area = 4(2.25 + 1.5√2) + 4(1 + 1.5√2)

Area = 9 + 6√2 + 4 + 6√2

Area = 13 + 12√2

An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure

There are various formulae for isosceles trapezoid area:

Given are the bases a,b, and height h: A = (a + b) * h / 2

Given the bases a,b, and c, determine h using the Pythagorean Theorem (h is the square root of c2 – (a-b)2/4) and A = (a + b) * h / 2

Given are the bases a,b, and angle: h = tan() * (a-b)2 / 4, then A = (a + b) * h / 2.

Given: base a, leg c, and angle If h is defined as c * sin() and b is defined as a – 2 * c * cos(), then A = (a + b) * h / 2

An isosceles trapezoid (also known as an isosceles trapezium by the British; Bronshtein and Semendyayev 1997, p. 174) is a trapezoid with identical base angles on both the left and right sides.

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Answer:

Step 2 is incorrect. It should be -4x +2= -12

Step-by-step explanation:

The percentage of such groups (of 400) would 150 or fewer improve is 16.60.

The percentage is a relative value indicating the hundredth component of any quantity. One percent (symbolized 1%) is the 100th element; as a result, 100 percent represents the entirety and 2 hundred percent specifies twice the given amount. percentage.

As finding 10% of a variety of means to divide through 10, it is not unusual to assume that to locate 20% of a variety you must divide through 20 and so on. Take into account, to discover 10% of the number of manner dividing through 10 because 10 is going into one hundred ten times. consequently, to discover 20% of various, divide via five due to the fact 20 is going into 100 five times.

In arithmetic, a percentage is a number or ratio expressed as a fraction of one hundred. it's far frequently denoted by the usage of the percentage signal, "%", although the abbreviations "pct.", "pct" and on occasion "computer" also are used. A percent is a dimensionless wide variety; it has no unit of size.

In what percentage of such groups (of 400) would

150

fewer improve?

i. e. PC X ≤ 150)

By using

-continuity correction we have to find.

PCX 150.5)= P "X-M1.6.150.5-160°

9.8

= p[ 2 < -0.97

By using the standard Normal table we get,

0.1660

P(X ≤150)

= 0. 1660 = 16.60 (

16.60 percent of such groups (of 400) would 150

fever improve.

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Answer:

I don't speak Spanish I'm Sorry

Answer:

a driver costs $19, while a putter costs $12

Step-by-step explanation:

driver = d

putter = p

1d + 2p = 43

3d + 1p = 69

d + 2p = 43. eq 1

3d + p = 69. eq 2

make d the subject of the equation

d = 43 - 2p. eq 3

substitute the value of d in eq 3 in eq 2

3(43 - 2p) + p = 69

129 - 6p + p = 69

collect like terms

129 - 69 = 6p - p

60 = 5p

p = 12

substitute the value of p in eq 3

d = 43 - 2(12)

d = 43 - 24

d = 19

The volume needed to store 5 moles of helium gas at 350K under a pressure of 190 kPA is approximately 218.79 liters.

To find the volume needed to store 5 moles of helium gas at 350K under a pressure of 190 kPA, we can rearrange the Ideal Gas Law equation as follows:

V = (n * R * T) / P

n = 5 moles

R = 8.314 (universal gas constant)

T = 350 K

P = 190 kPA

Plugging in these values into the equation, we have:

V = (5 * 8.314 * 350) / 190

Calculating the expression:

V = (14549.5 / 190)

V ≈ 76.58 L (rounded to two decimal places)

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The company packs "3" clay pots and "4" plastic pots for maximum packing in one shipment. This will require the fewest shipments.

or,

The company packs "2" clay pots and "6" plastic pots for maximum packing in one shipment. This will require the fewest shipments.

Let, the number of clay flower pots - "c"

the number of plastic flower pots is "p".

We can write:

\(2\leq c + p\leq 8\)

Also,

Weight of clay pot = 15 pounds

Weight of plastic pot = 7.5 pounds

Max Weight of Shipment = 100 pounds

Weight of container = 20 pounds

The weight of Packing material inside the container = 1 pound

Thus, the maximum weight of pots will be less than

                               = 100 - (20+1) = 100 - 21 = 79

We can write another inequality:

\(1.5c + 7.5p < 79\)

To assure the first inequality, we have points,

c = 0, p = 8

p =0, c = 8

c = 1, p = 7

etc. and so on...

So,

The company packs "3" clay pots and "4" plastic pots for maximum packing in one shipment. This will require the fewest shipments.

or,

The company packs "2" clay pots and "6" plastic pots for maximum packing in one shipment. This will require the fewest shipments.

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The complete question is:

A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 pounds. Each shipment container weighs 20 pounds, and there is 1 pound of packing material. A clay flower pot weighs 15 pounds, whereas a plastic flower pot weighs 7.5 pounds. The company wants to fill each shipment as full as it can get when they send shipments to garden supply stores. There is a similar demand for each type of pot. What is the best solution for the company if they want to ship the fewest shipments? Justify your reasoning.

Answers:

===================================================

Work Shown:

Let's isolate x^2

a = x^2 + 4

x^2 + 4 = a

x^2 = a - 4

----------

Then we'll apply substitution

(x^2+4)^2 + 32 = 12x^2 + 48

a^2 + 32 = 12x^2 + 48 ........... replace x^2+4 with 'a'

a^2 + 32 = 12(a-4) + 48 ......... replace x^2 with a-4

a^2 + 32 = 12a-48+48 ....... distribute

a^2 + 32 = 12a

a^2 + 32 - 12a = 0

a^2 - 12a + 32 = 0

The last equation is in standard form.

The coefficient of the 'a' term is -12 since it is the number to the left of the 'a'. We don't focus on a^2 here.

The constant term is the term without any variable attached, so the constant is 32.

Answer: Choice C and Choice D

========================================================

Explanation:

Answer:

[] Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.

[] Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.

Reasoning:

[✗] The first story, with Diego, does not work because the whole is $1 in the problem and $7 in the diagram.

[✗] The second story, with Elena, does not work because the 7 is ignored entirely and the x becomes a known value, 57.

[✓] The third story, with Noah, does work because he splits seven grapes equally among three friends (the x's) and eats one.

[✓] The fourth story, with Andre, does work because 7 hours were spent studying. One on English and the rest (three subjects) split evenly (x).

[✗] The fifth story, with Lin, does not work because the total is $3 when it should be 7.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answers:

===================================================

Explanations:

For either problem, you could find the decimal form, but I think the fraction form is better (since it's exact instead of approximate).

The conversion rate is the proportion of sales leads that become paying clients, or the proportion of clients who make a purchase.

The percentage of sales leads that become actual customers, or customers who make a purchase, is known as the conversion rate. It is a crucial number for e-commerce companies since it allows them to assess the success of their sales and marketing initiatives.  The conversion rate is derived by dividing the total number of leads by the number of successful sales or conversions. It gauges how effectively a website converts leads into paying clients. Companies can improve their websites and marketing tactics to raise conversion rates by measuring conversion rates and identifying areas for improvement. Additionally, businesses can utilise conversion rate to assess the efficiency of various marketing initiatives and campaigns and identify the ones that are most successful at generating sales.

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If a number cube is rolled 25 times and 6 appears only four times, then the experimental probability of getting 6 is 4/25.

The experimental probability of an event happening is the number of times the event occurred divided by the total number of trials. In this case, a number cube is rolled 25 times and lands on 6 four times. Here are the steps to determine the experimental probability of landing on 6:

So, the experimental probability of landing on 6 is 4/25, which means that if we roll the number cube many more times, we would expect to get a 6 approximately 4 out of every 25 rolls.

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Answer:

(3,-2)

Step-by-step explanation:

(0,-2)

you move 3 right

you change the x-axis

(3,-2)

Answer:

(3, -2)

There you go!! rlly hope this helps!!

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3