The user of two website are asked to grade them for ease of use .they used a scale of 1 to 5.1 was poor 5 was excellent . The results are shown in this table.use average to decide which website is better

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

To construct the Cayley's table for the group U₂, we need to find the result of multiplying each element of the group with every other element modulo 9.

The group U₂ is defined as follows:

U₂ = {k e Z | gcd(k, 9) = 1} - {0}

The elements of U₂ are all the integers in Z that are coprime to 9, excluding 0. These elements are: ±1, ±2, ±4, ±5, ±7, and ±8.

To construct the Cayley's table, we multiply each element with every other element modulo 9. Here's the Cayley's table for U₂:

  *  |  1   2   4   5   7   8  

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

  1  |  1   2   4   5   7   8  

  2  |  2   4   8   1   5   7  

  4  |  4   8   7   2   1   5  

  5  |  5   1   2   4   8   7  

  7  |  7   5   1   8   4   2  

  8  |  8   7   5   7   2   1  

Now let's find the cyclic subgroups generated by each element of U₂:

Cyclic subgroup generated by 1: {1}

Since 1 raised to any power modulo 9 will always be 1, the cyclic subgroup generated by 1 consists only of the element 1 itself.

Cyclic subgroup generated by 2: {1, 2, 4, 8}

The powers of 2 modulo 9 are: 2, 4, 8, 7, 5, 1. The cyclic subgroup generated by 2 contains these elements.

Cyclic subgroup generated by 4: {1, 4, 7, 8}

The powers of 4 modulo 9 are: 4, 7, 1. The cyclic subgroup generated by 4 contains these elements.

Cyclic subgroup generated by 5: {1, 5, 7, 8}

The powers of 5 modulo 9 are: 5, 7, 8, 4, 2, 1. The cyclic subgroup generated by 5 contains these elements.

Cyclic subgroup generated by 7: {1, 7}

The powers of 7 modulo 9 are: 7, 4, 1. The cyclic subgroup generated by 7 contains these elements.

Cyclic subgroup generated by 8: {1, 8}

The powers of 8 modulo 9 are: 8, 1. The cyclic subgroup generated by 8 contains these elements.

These are all the cyclic subgroups generated by each element of U₂.

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Answer:The student needs to score 20 points

Step-by-step explanation:

? /50= 40/100Cross multiply:100*? = 40*50⇒? = 40*50/100= 20

Therefore, the probability of pumping gas into more than 5 cars during the 30-minute period is 0.

To find the probability of an event, we sum the probabilities of the individual outcomes that make up the event. In this case, we want to find the probability that the service station will pump gas into more than 5 cars during the 30-minute period.

The given probabilities for pumping gas into 0, 1, 2, 3, 4, and 5 or more cars are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively.

To find the probability of pumping gas into more than 5 cars, we need to sum the probabilities of pumping gas into 0, 1, 2, 3, 4, and 5 cars and subtract it from 1:

P(more than 5 cars) = 1 - [P(0 cars) + P(1 car) + P(2 cars) + P(3 cars) + P(4 cars) + P(5 cars)]

P(more than 5 cars) = 1 - (0.03 + 0.18 + 0.24 + 0.28 + 0.10 + 0.17)

P(more than 5 cars) = 1 - 1.00

P(more than 5 cars) = 0

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Answer:

X=-1

Y=1

Solve using Elimination.

Step-by-step explanation:

Multiply the second equation by 7.

The two equations are now:

7x+6y=-1

-7x +14y=21

Combine the two equations

7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.

The equation is now

20y=20, divide 20 on both sides to get Y=1.

Now, substitute 1 as Y in the second equation for -x+2(1)=3

-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us

-x=1.

Divide both sides by -1 for X=-1

Final answers being X=-1, Y=1

Hope this helps! Let me know if you have further questions!

Answer:

1. The perimeter of a parallelogram is the sum of the lengths of all four sides. If two consecutive sides of a parallelogram measure 4 m and 9 m, respectively, then the other two sides must also measure 4 m and 9 m, respectively (since opposite sides of a parallelogram are equal in length). Therefore, the perimeter of the parallelogram is:

Perimeter = 4 m + 9 m + 4 m + 9 m = 26 m

So the perimeter of the parallelogram is 26 meters.

2. In a square, both diagonals are equal in length. If one diagonal measures (2x + 4) in and the other diagonal measures 16 in, then we can write:

2x + 4 = 16

Solving for x, we get:

x = 6

So the value of x is 6 inches.

3. In a trapezoid, the length of the median is equal to the average of the lengths of the two parallel sides. If QR is parallel to TS and mQR = 12 cm, then mTS must also be equal to 12 cm. Let x be the length of the base of the trapezoid.

Then, we have:

mUV = (mQR + mTS)/2

Substituting the given values, we get:

24 cm = (12 cm + 12 cm + x)/2

Simplifying, we get:

24 cm = (24 cm + x)/2

Multiplying both sides by 2, we get:

48 cm = 24 cm + x

Subtracting 24 cm from both sides, we get:

x = 24 cm

So the length of the base of the trapezoid is 24 cm, and the length of the median UV is 24 cm.

(If this isn't right, I'm sorry!)

4. In an isosceles trapezoid, the diagonals are equal in length. If one diagonal measures 42 cm and one leg measures 23 cm, then we can use the Pythagorean theorem to find the length of the other leg:

d^2 = l^2 + (b/2)^2

where d is the length of the diagonal, l is the length of each leg, and b is the length of the base. Substituting the given values, we get:

42^2 = 23^2 + (b/2)^2

Simplifying, we get:

b^2/4 = 42^2 - 23^2

b^2/4 = 1253

Multiplying both sides by 4, we get:

b^2 = 5012

Taking the square root of both sides, we get:

b = sqrt(5012) ≈ 70.77

So the length of the other diagonal is also 42 cm.

5. The area of a kite is equal to half the product of the lengths of its diagonals. If mHP = 10 cm and mOE = 18 cm, then we can write:

Area = (mHP x mOE)/2

Substituting the given values, we get:

Area = (10 cm x 18 cm)/2 = 90 cm^2

So the area of the kite is 90 square centimeters.

I hope this helps! I'm sorry if this was wrong. If you need more help, ask me! :]

In the given equation r = 2/5 t "r" is the dependent variable.

In mathematics, a variable is a symbol that represents a quantity that can take on different values. In many cases, variables can be divided into two types: dependent variables and independent variables.

An independent variable is a variable that can be changed freely, and its value is not dependent on any other variable in the equation.

A dependent variable is a variable whose value depends on the value of one or more other variables in the equation

Here we have

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups.

She writes the equation r = 2/5 t to describe the relationship.

In the equation, r = 2/5 t, "t" represents the total number of cups, while "r" represents the number of cups of red paint.

Here "t" is the independent variable because it represents the total number of cups, which can be changed arbitrarily.

The value of "r" depends on the value of "t" because the number of cups of red paint is always 2/5 of the total number of cups.

Therefore,

In the given equation r = 2/5 t "r" is the dependent variable.

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Complete Question:

Lin notices that the number of cups of red paint is always  2/5 of the total number of cups. She writes the equation r = 2/5 t to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Answer:179.5

Step-by-step explanation:

Answer:

6:16 :)

Step-by-step explanation:

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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The annual percentage yield (APY) for the given savings account is 3.038%.

Now, For calculate the annual percentage yield (APY) for a savings account with an annual percentage rate (APR) of 3% compounded quarterly, we can use the following formula:

⇒ APY = (1 + (APR / n))ⁿ⁻¹

where, n represents the number of compounding periods per year. In this case,

Since, the interest is compounded quarterly, n = 4.

So, plugging in the values, we get:

APY = (1 + (0.03 / 4))⁴⁻¹

        = (1.0075)³

        = 0.03038

        = 3.038%

Therefore, the annual percentage yield (APY) for the given savings account is 3.038%.

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Answer:

Part A

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

192 bottles

Step-by-step explanation:

The given parameters are;

The selling price of a can of lemonade = $2.50

The selling price for each bottle of water = $1.25

The amount the club needs to raise to cover the cost of renting costumes, A = $600

The maximum acceptable cans and bottles = 460

Part A

Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;

The situation can be represented by the following system of inequalities

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

The number of cans of lemonade sold, x = 144

Therefore, we have;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles

Answer:

hi

Step-by-step explanation:

Answer:

00234567890987654321

Answer

$7

Explaination :

3 bracelet - $5( for 1)

3 necklace - (unknown)

Total amount paid - $40

change - $4

Calculation for all 3 bracelet

$5×3=$15

Calculation for the real amount

$40-$4=$36

Calculation for 3 necklace

$36-$15=$21

Calculation for 1 necklace

$21÷3=$7

There reason I divide it with 3 was because I got the total amount for 3necklace now I only want 1..

Final answer - $7#

Hope this helped :)

Answer:

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

Each bracelet cost $5 and necklace costs x.

The total for 3 of each is:

Set equation and solve for x:

Yes, we can indeed support the claim that at 0.01 level of significance, the  mean completion time has decreased under new management because  the calculated t-value (-2.64) is less than the critical value (-2.492), hence we reject the null hypothesis that says the mean completion time has not decreased

The p-value is 0.005

There is need to perform a one sample t-test at 0.01 level of significance to test the claim.

The null hypothesis is that the mean completion time has not changed

Alternate hypothesis is that the mean completion time has decreased

The test statistic is given by:

t = (x - μ) / (s / √(n))

where x is the sample mean

μ is the population mean

s is the sample standard deviation

n is the sample size.

by substituting for the the given values, we have;

t = (14.2 - 14.7) / (1.7 / √(80))

t = -2.64

Using a t-distribution table with 79 degrees of freedom (n-1),

the critical value for a one-tailed test with a significance level of 0.01 is -2.492.

Since the calculated t-value (-2.64) is less than the critical value (-2.492), we reject the null hypothesis  and consider the alternative hypothesis as valid.

Therefore, there is sufficient evidence to support the claim that the mean completion time has decreased under new management.

To get the p-value, we can use a t-distribution table.

The p-value for a one-tailed test when df is 79 and calculated t-value is -2.64 is approximately 0.005.

Therefore, the p-value is 0.005 (rounded to at least 3 decimal places).

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True. The cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.

The cartesian product of two sets A and B, denoted by A × B, is the set of all possible ordered pairs where the first element comes from set A and the second element comes from set B. In other words, each element in set A is combined with every element in set B to form a pair.

For example, let A = {1, 2} and B = {3, 4}. The cartesian product A × B would be {(1, 3), (1, 4), (2, 3), (2, 4)}, which includes all possible combinations of elements from A and B.

The cartesian product is a fundamental concept in set theory and plays a crucial role in various areas of mathematics, including algebra, combinatorics, and geometry. It allows for the systematic exploration of all possible combinations between sets and is often used in defining relations, functions, and mappings between different mathematical structures.

Therefore, it is true that the cartesian product of two sets is a set of pairs combining all elements from the first set with each of the elements in the second set.

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Answer:

A = 6 m²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{3}\) bh ( b is the base and h the perpendicular height )

Here b = 4 and h = 3 , then

A = \(\frac{1}{2}\) × 4 × 3 = 2 × 3 = 6 m²

Answer:

The commutative property of addition indicates that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

volume of a rectangular prism

Step 02:

geometry:

1. volume of a rectangular prism

- One formula for the volume of a right rectangular prism is V = l w h , where l represents length , w represents width , and h represents height.

- Another formula for the volume of a right rectangular prism is V = Bh , where B is the base area and h is the height.

That is the solution.

Answer:

$358.4

Step-by-step explanation:

To calculate the salesperson's commission, you can multiply the total sales by the commission rate. In this case, the commission is $3600 * 0.099 = $<<3600*0.099=358.4>>358.4. So the salesperson's commission would be $358.4.

The probability that the first person to enter the room will be randomly seated at a walnut table is approximately 0.129, or 12.9%.

To calculate the probability that the first person to enter the room will be randomly seated at a walnut table, we need to determine the total number of tables and the number of walnut tables specifically.

The total number of tables in the room is the sum of the walnut, poplar, cedar, and cherry tables:

Total number of tables = 4 walnut tables + 9 poplar tables + 7 cedar tables + 11 cherry tables = 31 tables.

The probability of being seated at a walnut table can be calculated by dividing the number of walnut tables by the total number of tables:

Probability = Number of walnut tables / Total number of tables = 4 walnut tables / 31 tables ≈ 0.129.

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The required cost of hosta and ornamental grass is $6 and $3.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
let the cost of each hosta be x and ornamental grass be y,
According to the question,
For
Trevon,
5x + y = 33 - - - - - (1)

For, Scott,
x + 12y = 42 - - - - - - (2)

Solving equations 1 and 2 by substitution method,
x=6, y=3

Thus, the cost of hosta and ornamental grass is given as $6 and $3.

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Answer:

Moore's Law states that the number of transistors on a microchip will double approximately every two years. So, if a microchip in a given year could hold 922,200 transistors, 19 years later, it could hold approximately 922,200 * 2^(19/2) = 922,200 * 2^9.5 = 922,200 * 15,564,224 = 14,225,067,008,000 transistors.

Answer:

(4, 1 )

Step-by-step explanation:

the solution to a system of equations given graphically is at the point of intersection of the 2 lines.

the lines intersect at (4, 1 )

then the solution is (4, 1 )

Answer: 42 gallons

Step-by-step explanation:

given data:

average gas mileage/day = 29miles/gallon

distance travelled each day by James = 87miles

How much gas does he use in 14days drive.

solution:

james drives 87miles daily, so in 14 days he would have travelled

= 87miles * 14

= 1218miles travelled.

gas used in 14days

1218miles distance traveled in 14 days

29miles/gallon

= 1218miles / 29miles

= 42gallons of gas have been used by janew to fuel his truck in 14days.

Answer:

85-86%

Step-by-step explanation:

Make it an equation

You want to find the percent out of a hundred, so 42 is 100 since it is all of the questions and 36 is the unknown percent X

36/42 = X/100

36             X

42             100

Cross multiply

Do math and solve for X

36 x 100 = 42 x X

3600=42X

X=85.71

Answer:

4. (9, -8)

(✿◠‿◠)

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

Jon is filling the tub at a rate of 0.5 ft3/min is 0.3125 ft/min.

If we take a look at a rectangular bathtub, the volume of the bathtub can be expressed as:

Volume (V) = length × breadth × height

where;

the base = length × breadth = 16ft²

∴ the volume of the rectangular bathtub = 16h ---  (1)

Using differentiation to differentiate 16h with respect to t implicitly, then:

dV/ dT = 16 dH /dT

When the rate of rising of the volume is 0.5 ft³/min

Then:

0.5 = 16 dH /dT

dH /dT = 1 / 16 * 0.5

dH /dT = 0.3125.

Jon is filling the tub at a rate of 0.5 ft3/min is 0.3125 ft/min.

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Answer:

No, he is wrong

Step-by-step explanation:

To find that probability, the first thing we need to know is the total number of coins present.

Mathematically, that would be 3 + 2 + 3 = 8

Since there are 8 coins, the probability of selecting a dime is number of dimes/total number of coins = 2/8 = 1/4

The probability we want to work with is that the two selections are dimes, let’s say with replacement.

That means; first selection is a dime and second selection is also a dime

Mathematically in probability, the term and means that we have to multiply our results.

So the probability that both are dimes would be 1/4 * 1/4 = 1/16

And this makes his answer wrong