3.3 Dr Seroto travelled from his office directly to the school 45 km away. He travelled at an average speed of 100 km per hour and arrived at the school at 11:20. Verify, showing ALL calculations, whether Dr Seroto left his office at exactly 10:50. The following formula may be used: Distance = average speed x time
\(distance= average sped \times time\)
​

Answer: Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

Step-by-step explanation:

When dividing fractions, the second term becomes the reciprocal.

Fractions are numbers which are of the form a/b where a and b are real numbers which implies that 'a' parts of a number 'b'.

Here, a is called the numerator and b is called the denominator.

Let a/b and c/d be the two fractions.

Division of these fractions will result as a/b ÷ c/d.

Now the second term c/d will change into d/c and the operation changed into multiplication.

a/b ÷ c/d = a/b × d/c

For example, let 1/2 and 3/4 are two fractions.

We have to divide 3/4 into 1/2 parts.

The actual operation is 3/4 ÷ 1/2.

But using the reciprocal and change in the operation, we will get it as,

3/4 ÷ 1/2 = 3/4 × 2/1 = 3/4 × 2

Dividing 3/4 into 1/2 parts is same as doubling 3/4.

Hence the second term will become reciprocal in the division of fractions.

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Answer: x < 8

Reason: I did some math

Answer:

x<8

Step-by-step explanation:

It is not impossible to construct a frame for a finite population or a target population, but it is impossible to construct a frame for a sampled population.

A frame is a list or map of all the units in a population, which is used to select a sample for a survey or study. If a population is finite, it is possible to list all the units in the population and create a frame. Similarly, if the target population is well-defined and can be identified, a frame can be constructed.

However, if the population is sampled, the frame cannot be constructed because the population is unknown and constantly changing. Therefore, it is impossible to construct a frame for a sampled population.

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The complete question is :

Is it impossible to construct a frame for a sampled population, a finite population, or a target population?

Answer: 118728

Step-by-step explanation:

You can just simply find this answer using a calculator.

Answer:

Θ ≈ 28.07°

Step-by-step explanation:

using the sine ratio in the right triangle

sinΘ = \(\frac{opposite}{hypotenuse}\) = \(\frac{8}{17}\) , then

Θ = \(sin^{-1}\) ( \(\frac{8}{17}\) ) ≈ 28.07° ( to the nearest hundredth )

The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.

In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

So According to the question, the Mean of  5 people in a room =26

When a person enters the room mean age becomes = 33

The sum of their age is = 5*6 =130

when other persons enter the room means the total person becomes =6

and the sum of their age after another person enters the room= \(x+130\)

where x is the age of the other person entering the room.

so, mean = 33= (130+x)/6

 then, 130+x=6*33

   And,130+x=198

so,x=198-130  =68

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Answer:

5

Step-by-step explanation:

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Answer:

a. five, twelve, thirteen

There are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word CRAB? In STATISTICS?

and There are 6 ways to pick first a vowel and then a consonant from CRAB? From STATISTICS?

A) There are 12 ways to pick a sequence of two different letters of the alphabet that appear in the word CRAB, and 20 ways to pick a sequence of two different letters of the alphabet that appear in the word STATISTICS.

B) There are 6 ways to pick first a vowel and then a consonant from CRAB, and 10 ways to pick first a vowel and then a consonant from STATISTICS.

Sequence and series are the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas a series is the sum of all elements

The fundamentals could be better understood by solving problems based on the formulas. They are very similar to sets but the primary difference is that in a sequence, individual terms can occur repeatedly in various positions.

The length of a sequence is equal to the number of terms and it can be either finite or infinite.

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Answer:

The length of Bob's snake = x = 80 inches

The length of Mary's snake = y = 30 inches

Step-by-step explanation:

Let the length of Bob's snake = x

the length of Mary's snake = y

From the above question:

Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake.

x = 3 × y - 10

x = 3y - 10

If both their snakes laid together end to end measure 110 inches, how long is Bob's snake?

x + y = 110 inches

Substance 3y - 10 for x

3y - 10 + y = 110

Add 10 to both sides of the Equation

3y + y -10 + 10 = 110 + 10

4y = 120

y = 120/4

y = 30 inches

x + y = 110 inches

x + 30 inches = 110 inches

x = 110 inches - 30 inches

x = 80 inches

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

There is no graph!

Step-by-step explanation:

Answer:

As time went by, the number of hurricanes tended to increase

Step-by-step explanation:

There is a positive relationship in the data—low values of x are associated with low values of y, and high values of x are associated with high values of y.

As time went by, the number of hurricanes tended to increase.

The statement: transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

What is 3D to 2D projection?

A three-dimensional (3D) object is displayed on a two-dimensional (2D) surface using a 3D projection, also known as a graphic projection. In order to project a complex object for viewing capability on a simpler plane, these projections rely on visual perspective and aspect analysis.

The fundamental method is: u = x / z; v = y / z; if you're converting from world-space (x, y, z) coordinates to screen-space (u, v) coordinates. Before applying the projection matrix, transform (x, y, z) by the view matrix if the camera is not positioned at the origin.

Hence, the statement transformations are mathematical operations that map 3d space to 2d space and so mathematics has standard ways to represent them is false.

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Answer:

 3xyz

 ————

  4  

A function that represents a $750 laptop that decreases in value by 20% each year is f(n)=750(1.2)ⁿ.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, $750 laptop that decreases in value by 20% each year.

Here, f(n)=750(1+20%)ⁿ, where n is the number of years

f(n)=750(1+20/100)ⁿ

f(n)=750(1.2)ⁿ

Therefore, a function that represents a $750 laptop that decreases in value by 20% each year is f(n)=750(1.2)ⁿ.

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The expected value of the minimum of two independent uniformly distributed random variables x and y between 0 and 1 is 1/4. It is found by integrating over the two possible triangles and averaging the results.

Let M be the minimum of x and y. We can find the expected value of M by integrating over all possible values of x and y:

E(M) = ∫∫ min(x,y) f(x,y) dxdy

where f(x,y) is the joint probability density function of x and y.

Since x and y are independent and uniformly distributed between 0 and 1, their joint probability density function is:

f(x,y) = 1, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1

and zero otherwise.

Therefore, we have:

E(M) = ∫∫ min(x,y) f(x,y) dxdy

= ∫∫ min(x,y) dxdy, for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1

To evaluate this integral, we can split the region of integration into two parts: the triangle where x ≤ y and the triangle where x ≥ y. In each part, we can express the minimum of x and y as a function of one of the variables:

For x ≤ y:

E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫x^1 x dy dx

= ∫0^1 (x - x^2/2) dx = 1/3

For x ≥ y:

E(M) = ∫∫ min(x,y) dxdy = ∫0^1 ∫0^y y dx dy

= ∫0^1 y^2/2 dy = 1/6

Therefore, the expected value of the minimum of x and y is:

E(M) = 1/3 * (area of triangle where x ≤ y) + 1/6 * (area of triangle where x ≥ y)

= 1/3 * 1/2 + 1/6 * 1/2

= 1/4

Hence, the expected value of the minimum of x and y is 1/4.

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There are 15 possible combinations for the values of ll and mlml when nnna = 3.

We need to understand what nnna, ll, and mlml represent. nnna refers to the principal quantum number, which represents the energy level of the electron. ll represents the orbital angular momentum quantum number, which determines the shape of the orbital. mlml represents the magnetic quantum number, which specifies the orientation of the orbital in space.

When nnna = 3, the possible values for ll are 0, 1, and 2. For each value of ll, there are 2ll + 1 possible values for mlml. Therefore, when nnna = 3, there are 7 possible values of mlml for ll = 0, 5 possible values of mlml for ll = 1, and 3 possible values of mlml for ll = 2.

To find the total number of possible combinations for ll and mlml when nnna = 3, we need to add up all of the possible combinations for each value of ll. So, the total number of possible combinations is:

7 + 5 + 3 = 15

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Answer:

wouldnt it be. 4 × x+7

Step-by-step explanation:

because x and 7 equal the whole top and 4 is the side

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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The probability of rolling a 3 is 1/6.

The probability of rolling a 7 is 0%.

The probability of rolling a 3 or 4 is 1/3.

The sides on a dice are 1, 2, 3, 4, 5, and 6. They all have a 1/6 chance of rolling.

So,

There is a 1/6 chance of rolling a 3.

There is a 1/3 chance of rolling a 3 or 4.

Since there is no 7 on a dice, there is a 0% chance of rolling it.

Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.

Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.

For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.

Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.

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Answer:

26, 37

Step-by-step explanation:

2-1 = 1. 5-2 =3. 10 - 5 = 5. 17 - 10 = 7.

notice how the differences are 1, 3, 5, 7?

there's a gap of 2 between each difference.

so, let's call our next two terms in the sequence a and b.

a - 17 = (7+2).

a - 17 =9.

a = 26.

b - 26 = (9 +2).

b - 26 = 11.

b = 37.

so, next two terms are 26 and 37

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

No, it is not legal to drive at 80 mph, even if everyone else is driving at that speed, if the posted speed limit is 65 mph. The posted speed limit is the maximum legal speed that drivers are allowed to travel on a particular road, and it is a law that must be followed.

Step-by-step explanation:

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

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

The formula to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

The formula presented derived from the formula for the circumference of a circle, which is C = 2πr. By rearranging the equation and isolating the radius (r) on one side, we get r = C/(2π).

So, if the circumference (C) of a circle is 18 centimeters, you can use the formula r = C/(2π) to find the radius (r). Plugging in the given value for the circumference (C), we get:

r = 18/(2π)

Simplifying the equation gives:

r = 9/π

Therefore, the radius (r) of the circle is 9/π centimeters.

In conclusion, the formula you can use to find the radius (r) of a circle when you know the circumference (C) is r = C/(2π).

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Answer:

f(-7) = 18

Step-by-step explanation:

Add AbS in calculator

or

2(-7) = -14 (AbS) -> 14

-4 -> (AbS) = 4

14+4 = 18

Answer: i am so confused lol

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

First you type shift then s, o, m, e, t, h, i, n, and g