Write the given rate as a fraction in simplest form 135 points in 225 minutes

Answer:

See below

Step-by-step explanation:

1. The sum of two numbers is 72. Lets say the two numbers are x and y:

   x + y = 72

If one number is 3 times the other,

  x = 3y

what is the largest number?

 Substitute the second into the first expression

x + y = 72

3y + y = 72

4y = 72

 y = 18

2.  From 6:30am to noon is 5 1/2 hours.  From noon to 1:30 is another 1 1/2 hours.  The sum is (5.5 + 1.5) = 7 hours

3.  I'm assuming the bottom two angles are the same (diffiuclt to read).  If so, we know that the sum of the interior angles of a triangle is 180 degrees.  

        2x + x + x = 180

        4x = 180

          x = 45 degrees

4.  (1.5 meters)*($22.50/meter) = $33.75

5.  (0.5 L)*(1000 ml/L) = 500 ml

The new average salary of the people on the bus is $84,44,96,111.11  and the median salary will not change and will remain same.

Given, we know that average salary of the 9 people on the bus is $65,000.

Formula for Average = sum of salary of all people/ the number of people.

Let us say average salary of first 8 people is 'S'. Given, salary of the 9th guy on the bus is $120,000 Now, we can write it like this :

⇒$65,000  = (S + $120,000)/9

⇒585,000 = S + $120,000

⇒S = $465,000

Therefore, average salary of 8 people is $465,000 after the 9th guy gets off. Now Bill Gates enters the bus with a salary of $7,600,000,000. New average salary :

⇒ (S + $7,600,000,000) / 9

⇒$84,44,96,111.11

Median will not change since, The median of a set of numbers is the number in the middle when you list them in order. For example, the median of {1, 3, 6, 9, 13} is 6. If you replace the highest number with a different number, the median will not change. In this example, {1, 3, 6, 9, 100} still has a median of 6.

Therefore, the new average yearly income of the people on the bus along with Bill Gates is $84,44,96,111.1111.

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The length of 175 metres and width of 87.5 metres will maximise the area 15312.5 square metres.

We have been given that Farmer Ed has 350 metres of fencing and wants to enclose a rectangle mat plot that borders on a river. Farmer Ed does not fence the side along the river.  

First of all we will make a relevant figure to represent the perimeter of fencing for 3 sides as shown in the attachment.

Since Ed will not fence the side along the river, fencing is needed for 3 sides and the perimeter of the fencing would be x + x + y = 2x + y.

Now we will equate perimeter with 350 as: 2x + y = 350

y=350-2x

We know that the area of the rectangle is width times length.

A = X•Y

Upon substituting the value of y in area equation, we will get:

A = x•(350-2x)

A(x) = 350x -2x²

Now we will find derivative of area function as:

A'(x) = d(350- 2)/dx

A'(x) = 350-4x

Now we will equate derivative with 0 and solve for x as:

0 = 350-4

4x = 350

x = 350/4 - 87.5

Upon substituting x = 87.5 in equation y = 350-2x, we will get:

y = 350 - 2x

 = 350 - 2(87.5)

 = 350-175

y = 175

Therefore, the length of 175 metres and width of 87.5 metres will maximise the area.

on substituting x = 87.5 in area function, we will get:

A(87.5) = 350(87.5)-2(87.5)²

A(87.5) = 30625-2(7656.25)

A(87.5) = 30625-15312.5

A(87.5)= 15312.5

Therefore, the largest possible area enclosed would be 15312.5 square metres.

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—--------- CORRECT QUESTION FORMAT IS GIVEN BELOW —----------

(Q).

Farmer Ed has 350 meters of fencing and wants to enclose a rectangle mat plot that borders on a river. If farmer Ed does not fence the side along the river find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed ?

Answer:

B. Jamie is incorrect. Since spinning a number from 1-3 is certain, the probability is 1.

Step-by-step explanation:

Probability is on a scale of 0 to 1, with 0 being impossible, and 1 being certain.

As the possibility of spinning and landing on a number less than or equal to 3 is 100%, as all numbers on there are less than or equal to 3, the probability would be 1, not 3.

Answer:

here are signs for (A), (B) and (C) hope this helps :)

Step-by-step explanation:

(a) The signs of two rational numbers whose sum is positive can be either both positive or both negative. If the signs are different, the absolute value of one number is greater than the absolute value of the other.

Example:

1/2 + 3/4 = 1/4 (positive sum, both numbers are positive)

-2/3 + 4/5 = 2/15 (positive sum, both numbers are negative)

(b) The signs of two rational numbers whose product is positive can be either both positive or both negative.

Example:

1/3 * 4/5 = 4/15 (positive product, both numbers are positive)

-2/7 * -3/4 = 3/14 (positive product, both numbers are negative)

(c) The signs of two rational numbers whose quotient is positive can be either both positive or both negative.

Example:

2/3 ÷ 1/4 = 8/3 (positive quotient, both numbers are positive)

-5/6 ÷ -2/3 = 5/4 (positive quotient, both numbers are negative)

The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours

The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.

That is 200 inversely related 1/number of people

That is;

200 × number of people = k

Therefore, 15 people (N1)= 8 hours(T1)

24 people (N2)= X hours(T2)

using the constant of the inverse relationship above;

N1T1 = N2T2

15×8 = 24 × X

X = 15×8/24

X = 120/24

X = 5 hours.

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The quadratic equations with roots that are whole numbers and fractions are listed below:

Case 2: 9 · x² - 78 · x - 27 = 0

Case 3: 7 · x² - 26 · x - 8 = 0

Case 4: 4 · x² + 2 · x - 32 · x - 16 = 0

Case 6: 4 · x² - 5 · x - 6 = 0

Case 7: 7 · x² + 38 · x - 24 = 0

In this problem we find eight cases of quadratic equations of the form a · x² + b · x + c = 0, where a, b, c are real coefficients. All roots can be found by means of algebra properties:

Case 1

5 · x² + 8 · x + 4 = 0

5 · [x² + (8 / 5) · x + 4 / 5] = 0

5 · (x + 4 / 5 - i 2 / 5) · (x + 4 / 5 + i 2 / 5)

Case 2

9 · x² - 78 · x - 27 = 0

9 · [x² - (26 / 3) · x - 3] = 0

9 · (x - 9) · (x + 1 / 3) = 0

Case 3

7 · x² - 26 · x - 8 = 0

7 · [x² - (26 / 7) · x - 8 / 7] = 0

7 · (x - 4) · (x + 2 / 7) = 0

Case 4

4 · x² + 2 · x - 32 · x - 16 = 0

4 · x² - 30 · x - 16 = 0

4 · [x² - (15 / 2) · x - 4] = 0

4 · (x - 8) · (x + 1 / 2) = 0

Case 5

2 · x² - 20 · x + 32 = 0

2 · (x² - 10 · x + 16) = 0

2 · (x - 8) · (x - 2) = 0

Case 6

4 · x² - 5 · x - 6 = 0

4 · [x² - (5 / 4) · x - 3 / 2] = 0

4 · (x - 2) · (x + 3 / 4) = 0

Case 7

7 · x² + 38 · x - 24 = 0

7 · [x² + (38 / 7) · x - 24 / 7] = 0

7 · (x - 4 / 7) · (x + 6) = 0

Case 8

x² - 5 · x - 6 = 0

(x - 6) · (x + 1) = 0

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Answer:

x = 12

The sum of ∠A and ∠C is 90°.

Step-by-step explanation:

Interior angles of a triangle sum to 180°.

[tex]\implies m \angle A + m \angle B + m \angle C = 180^{\circ}[/tex]

From inspection of the given right triangle:

Substitute the given angles into the equation and solve for x:

[tex]\implies m \angle A + m \angle B + m \angle C = 180^{\circ}[/tex]

[tex]\implies (2x+1)^{\circ} + 90^{\circ} + (5x+5)^{\circ} = 180^{\circ}[/tex]

[tex]\implies (2x+1)^{\circ} + 90^{\circ} + (5x+5)^{\circ}-90^{\circ} = 180^{\circ}-90^{\circ}[/tex]

[tex]\implies (2x+1)^{\circ} + (5x+5)^{\circ} = 90^{\circ}[/tex]

[tex]\implies 2x+1 + 5x+5 = 90[/tex]

[tex]\implies 2x+ 5x+1 +5 = 90[/tex]

[tex]\implies 7x+6 = 90[/tex]

[tex]\implies 7x+6 -6= 90-6[/tex]

[tex]\implies 7x=84[/tex]

[tex]\implies 7x\div7=84\div7[/tex]

[tex]\implies x=12[/tex]

Therefore, the value of x is 12.

To find the measure of each angle, substitute the found value of x into the expression for each angle:

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

A right angled triangle is given to us and we need to find out the value of " x " . The two unknown angles are (2x + 1)° and (5x + 5)° .

We know that, the Angle sum property of a triangle is 180° . So the sum of all the given angles inside the triangle will be 180° .

And as per question one of the angle is 90° . So the sum of other two angles will be 90° .

Hence ,

2x + 1 + 5x + 5 + 90 = 180

7x + 96 = 180

7x = 180 - 96

7x = 84

x = 84/2

x = 12

Hence the value of x is 12 .

And we are done!

Answer: x should be equal to -2

Step-by-step explanation:

8x + 6 = 14 - 4(2 - 2x)

8x + 6 = 14 - 8 - 4x

8x + 6 = 6 - 4x

8x = - 4x

x = -2

In the model above, the 8 that the arrow points to is 1/10 times the 8 to the left of the arrow and 10 times the 8 to the right of the arrow.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the 8 that the arrow points to is tens and as such, we have the following:

8 = 80 × 1/10

8 = 0.8 × 10

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A function to represent the total charges for your hotel and car rental is Option C.

In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.

Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.

Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.

Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.

The total charges for the hotel and car rental can be found by adding the charges for the hotel and the car rental. Therefore, the function that represents the total charges can be found by adding the two given functions:

p(x) = 135x + (45 + 79x)

p(x) = 135x + 45 + 79x

p(x) = 214x + 45

Therefore, the function that represents the total charges for the hotel and car rental is p(x) = 214x + 45.

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Answer:l^3x+28l=-6

or 0

Step-by-step explanation:

Answer:

1 milliliter = 0.00105669 liquid quart

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 milliliter it is equivalent to 0.00105669 liquid quart.

The statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

What is meant by the central limit theorem?

According to the central limit theorem, a statistical theory, samples with large sample size and a finite variance will have a normal distribution and a mean that is about equal to the mean of the entire population. The central limit theorem proves that, in many circumstances, given identically distributed independent samples, the standardised sample mean tends towards the conventional normal distribution even though the original variables themselves are not normally distributed.

Since the given sample is small, the histogram will not have a bell shape.

This is because according to central limit theorem, the normal approximation may not be very accurate when the sample size is small, Yet, the normal approximation gets better as the sample size increases.

Therefore the statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

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Answer: True, False, False

Step-by-step explanation:

Answer:

8. true

9. false

10. false

A p-value two-tailed calculator is a statistical tool used to calculate the p-value for a two-tailed test of a population mean or proportion.

A p-value two-tailed calculator is an online tool used in statistical analysis to determine the probability value of a two-tailed hypothesis test. This calculator helps researchers and analysts to determine if there is a significant difference between two population means or proportions. It calculates the p-value, which is the probability of obtaining results as extreme or more extreme than the observed results under the null hypothesis.

Users input sample data, population parameters, significance level, and type of test to obtain the calculated p-value. This tool is essential in hypothesis testing in fields such as psychology, medicine, and economics.

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The number of different simple random samples of size 4 that can be obtained from a population of size 45 is 1,011,690. This means there are over a million possible combinations of individuals that can be selected from the population.

The number of different simple random samples of size 4 that can be obtained from a population of size 45 is given by the combination formula:

C(45, 4) = 45! / (4! * (45 - 4)!) = (45 * 44 * 43 * 42) / (4 * 3 * 2 * 1) = 1,011,690

Therefore, there are 1,011,690 different simple random samples of size 4 that can be obtained from a population of size 45. This means that if we were to randomly select 4 individuals from the population, there would be over a million possible combinations of individuals that we could select.

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The relation can be a function is discussed below.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

Given:

We Know that in a function a input have only one output.

There no input value whose have the two distinct output at a same time.

We have attached question is not understood.

let us take example

Is A = {(1, 5), (1, 5), (3, -8), (3, -8), (3, -8)} a function?

We write the above data in table format then

x     y

1     5

1     5

3     -8

3     -8

3     -8

Here we have input value 1 have two outputs but same value 5.

Thus, the Given relation A is a function

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Answer: 56.2455

Step-by-step explanation:

1. The first measurement is 15.708

2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.

The diameter is . . .

d = 2r

d = 2 × 5inch

d = 10 inch

The radius is . . .

r = 5 inch

The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!

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Answer: The price is now 1.5 of what it was before is the correct answer.

Step-by-step explanation:For the given situation,

The statement is given as price increased by 1/2.

Let us assume, we have an item costs 1$.

Now the price is increased by 1/2, so we need to add the fraction to 1.

The official currency of 20 of the EU's 27 member states is the euro (symbol: €; code: EUR) (EU).

4 5 euros in dollars is equivalent to about 53.10 US dollars (45 x 1.18).

The euro and the US dollar are among the world's most popular currencies. On the other hand, the EUR to USD conversion asks you to get familiar with specific pointers such as the exchange rate today. The US dollar is widely accepted as a kind of currency in many places. As a result, foreign currency values are calculated by comparing them to the US dollar. Take a look at this comprehensive guide to help you convert EUR to USD. As of my current knowledge cutoff date of September 2021, one euro was approximately equal to 1.18 US dollars. Based on that exchange rate.

However, please note that exchange rates can fluctuate and the actual value of 45 euros in US dollars may be different depending on the current exchange rate.

45 euros would be equivalent to about 53.10 US dollars (45 x 1.18).

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AC=3x-4 AB=62 BC=x-2, x = 17. This can be solved by using the concept of simplification.

A line is an endlessly long object without breadth, depth, or curvature in geometry. So, despite the fact that they can exist in two, three, or more dimensional environments, lines are one-dimensional things. The term "line" can also refer to a line segment that has two locations that serve as its endpoints in daily life.

The most clear and simple way to calculate depreciation is along a straight line. It is most beneficial when an asset's value declines slowly over time at a pace that is close to constant.

Given that,

AC=3x-4

AB=62

BC=x-2

As we can clearly see in line AB:

AC+BC= AB

=>(3x-4)+(x-2)= 62

=>4x -6 = 62

=>4x = 62+6

=>4x = 68

=>x = 68/4

=>x= 17

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The complete question is as follows:

Answer: 2,380 people attend the game

Step-by-step explanation:

The correct options for the given polynomial are:

To analyze the end behavior of a polynomial we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12, so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

NEG/EVEN

That means that in both ends the polynomial tends to negative infinity, so:

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The table mentioned in the question is not provided. However, we can use the following formula to find the probability of two independent events occurring together:

P(A and B) = P(A) x P(B)

Here, A represents the event of the coin landing heads up, and B represents the event of the pointer landing on either 1, 2, or 4.

Assuming that the spinner has equal sections, the probability of the pointer landing on either 1, 2, or 4 is 3/8 (since there are three out of eight possible sections on the spinner).

The probability of flipping a fair coin and getting heads is 1/2.

Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is:

P(A and B) = P(A) x P(B) = (1/2) x (3/8) = 3/16

So, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

The probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

Given that, a spinner is spined and coin is flipped,

P(A and B) = P(A) x P(B)

Here, A represents the event of the coin landing heads up, and B represents the event of the pointer landing on either 1, 2, or 4.

Assuming that the spinner has equal sections, the probability of the pointer landing on either 1, 2, or 4 is 3/8 (since there are three out of eight possible sections on the spinner).

The probability of flipping a fair coin and getting heads is 1/2.

Therefore, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is:

P(A and B) = P(A) x P(B) = (1/2) x (3/8) = 3/16

So, the probability of the coin landing heads up and the pointer landing on either 1, 2, or 4 is 3/16.

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Answer:

24 years old

Step-by-step explanation:

Jim = 2x + 4

Mark = x

Sum of their ages = 34

2x + 4 + x = 34

2x + x = 34 - 4

3x = 30

3x / 3 = 30 / 3

x = 10

Mark = 10 years old

Jim = 2x + 4

= 2 ( 10 ) + 4

= 20 + 4

= 24

Therefore, Jim is 24 years old

The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because mean 12 is the median. Hence, I went with 16 and 9.

The mean of a dataset, sometimes referred to as the arithmetic mean, is the sum of all results multiplied by the number of values . This is the most popular way to measure central tendency and is sometimes refereed to as the "mean." This is obtained by dividing the total total of values within the dataset by the sum of the values. Calculations may be performed using both raw data and information that has been compiled into frequency tables. The average of a number is referred to as average. Calculating the following is easy: After adding all the digits, divide by the number of digits. the sum split by the count.

The query is not complete. It would still be 9 and 16 if the question asked for the two numbers that may represent the lowest and highest scores.

9 numbers in total. List them in descending order. Your Median is the middle number. The gap between the greatest and the lowest number called the range. The probabilities are therefore 8-1, 9-2, 10-3, 11-4, 12-5, 13-6, 14-7, 15-8, 16-9, 17-10, 18-11, and 19-12. The possibility of any other range other than 13-6 through 17-10 with several recurring values (mode) is not possible because 12 is the median. Hence, I went with 16 and 9.

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The vertex form of the quadratic equation g is:

g(x) = 25*(x - 4)²

We start with the parent quadratic function:

f(x) = x²

We know that first we apply a translation of 4 units to the right, so we will get:

g(x) = f(x - 4)

And then we compress it horizontally by a factor of 5, then we can write:

g(x) =f( 5(x - 4))

Replacing the actual function we will get:

g(x) = ( 5*(x - 4))²

Distributing the exponent we will get:

g(x) = 5² *(x - 4)²

g(x) = 25*(x - 4)²

That is the quadratic equation in vertex form.

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By looking at the data under PURCHASE BEHAVIOR, we can see that the consumers in this segment purchase a backpack at a range of purchase every five years. The Option E is correct.

We have several factors that can determine a consumer's purchase interval, including:

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Answer:

Step-by-step explanation:

answer is c. once every year