What is the median of the data set?


30 52 68 65 69 61 68 75 85 78
Question 2 options:


61


65.1


68


69

Option: D is the correct answer.

D = a group of events whose later outcomes are affected by previous outcomes.

We know that two events Event A and event B are said to be dependent if the occurrence of one outcome affects the occurrence of the other outcome.

For example--

If we have a bag containing 5 blue marbles, 2 red marbles and 3 green marbles then if we draw first marble and then draw second without replacement.

Then the event of drawing a blue marble first and then a green marble are dependent events.

Answer:

[tex](x, y) \rightarrow (-x, -y)[/tex]

Step-by-step explanation:

Rotation of any point in the form of (x, y) about the origin O through 180 degree in anticlockwise or counterclockwise direction, it will takes the new position (-x, -y)

i.e,

The rule of rotation about the origin through 180 degree is given by:

[tex](x, y) \rightarrow (-x, -y)[/tex]

For example:

Let the point A(-4, 6) rotate by the rule [tex]R_{0, 180^{\circ}}[/tex]

then;

[tex]A(-4, 6) \rightarrow (4, -6)[/tex]

⇒the coordinate of  image of the point A is, (4, -6)

Therefore, the rule represents [tex]R_{0, 180^{\circ}}[/tex]  is, [tex](x, y) \rightarrow (-x, -y)[/tex]

Answer:

B

Step-by-step explanation:

You can convert time from minutes to seconds by multiplying the number of minutes by 60. Therefore, if the train is due in 32 minutes and 30 seconds, the train will arrive in 1950 seconds.

To answer your question, we need to understand that 1 minute is equal to 60 seconds.

So, if the train arrives in 32 minutes, then it will arrive in 32 minutes * 60 seconds per minute, which equal 1920 seconds. And we have additional 30 seconds. So, the total time the train will arrive in is 1920 + 30 = 1950 seconds.

https://brainly.com/question/36044379

#SPJ2

Answer:

The restaurant needs to earn $839 on Sunday.

Step-by-step explanation:

Consider the provided information.

Let $x needs to earn on Sunday, to average $1000 per day .

It is given that the average earn should be $1000

[tex]Average=\frac{\text{Sum of observations}}{\text{Total number of observation}}[/tex]

[tex]Average= \frac{1240+921+x}{3}[/tex]

[tex]Average= \frac{2161+x}{3}[/tex]

The average should be $1000, so substitute 1000 for average and solve for x.

[tex]\frac{2161+x}{3} =1000\\\\ 2161+x=3000\\\\x=3000-2161\\\\x=839[/tex]

Thus, the restaurant needs to earn $839 on Sunday.

The required equation is [tex]\frac{1240+921+x}{3}=1000[/tex].

Answer:

the answer is A. 15h>750+3.5h

Im 100% sure.  Good luck!

Answer:

The answer is C. x÷30 = (x + 300)÷55

Step-by-step explanation:

The equation that could be used to find the number of miles the trains will travel is C. x÷30 = (x + 300)÷55.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph.

The equation will be

Total speed = Total distance / time taken

x ÷ 30 = (x + 300) ÷ 55

The equation that could be used to find the number of miles the trains will travel is C. x÷30 = (x + 300)÷55.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

When measuring the volume of a swimming pool, larger units of capacity like liters and gallons are used. For an Olympic-sized pool, the volume is often measured in megaliters or cubic meters.

When measuring the volume of a swimming pool, we are dealing with a very large capacity, therefore using small capacity units like milliliters would not be practical due to the large numbers it would involve. In cases such as filling a pool, larger units of capacity are more appropriate. Common units of measure for such large volumes are liters and gallons. For very large swimming pools, like Olympic-sized ones, volume is often expressed in megaliters (ML) because one megaliter equals one million liters. For instance, an Olympic-sized swimming pool holds about 2,500,000 liters, which can also be expressed as 2.5 megaliters (ML).

Additionally, when working with the volume of a pool, it would also be possible to measure in cubic meters (m³). This is particularly common in scientific contexts or in regions where the metric system is standard for all measurements.

The number of pages of the book is 315.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the sum of the page numbers on the facing pages of a book is 629.

Basically, these numbers have to be consecutive because they're facing pages.

To calculate the number of the pages divide this by 2, and then add one to the second number.

N = 629/2 = 314

Therefore, the number of pages of the book is 315.

To know more about an expression follow

https://brainly.com/question/24014972

#SPJ2

Answer:

[tex]\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text {AUD}}[/tex]

Step-by-step explanation:

We are told that 1.2 Australian dollars equals to 1 US dollar. We are supposed to write an expression that can be used to convert 22 Australian dollars to US dollars.

To find the amount of US dollars in 22 Australian dollars we will divide 22 by amount of Australian dollars that is equal to 1 US dollar (1.2 AUD).

[tex]22\text{ AUD}=\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text{ AUD}}[/tex]

Australian dollars will cancel out with Australian dollars from unit parts and our unit will be in American dollars.

[tex]22\text{ AUD}=\frac{22\cdot 1\text{ USD}}{1.20}[/tex]

Therefore, our desired expression that can convert 22 Australian dollars to US dollars will be  [tex]\frac{22\text{ AUD }\cdot 1\text{ USD}}{1.20\text { AUD}}[/tex].

Answer:

C. He should have found 8 as the exponent, not –8.

Step-by-step explanation:

We have been given an expression [tex](2^{-4})^{-2}[/tex]. We are asked to find the Pablo's error in simplifying the expression.

Let us check steps done by Pablo.

In first  step Pablo has simplified [tex](2^{-4})^{-2}[/tex] to [tex](2)^{(-2*-4)}[/tex] using power rule property of exponents which states that to raise a power to a power we have to multiply the exponents. Therefore, his first step is correct.  

Now let us check Pablo's second step. We can see that Pablo multiplied -2 by -4 and simplified to [tex]2^{-8}[/tex].  

Since we know that multiplying a negative number with another negative number gives a positive result, therefore, Pablo made mistake in second step. He should have found 8 instead of -8 as the exponent.    

The correct steps for simplifying the given expression will be [tex](2^{-4})^{-2}=2^{(-2*-4)}=2^{8}[/tex].  

Upon looking at our given option we can see that option C is the correct statement about Pablo's error.  

Answer:

Step-by-step explanation:

I forgot

1. protects against loss from automobile accidents of insured - Automobile insurance.

2. protects against loss to insured's home and furnishings - Homeowners insurance

3. protects against loss from fire on insured's property - Fire insurance

4. protects against loss from injury to others on insured's property - Liability insurance

5. protects against loss from lawsuits against insured - Malpractice insurance

6. protects against loss from death of insured - Life insurance

The value of the  numerator of the calculation of the variance= 258

and Variance= 51.6

We know that in order to calculate the variance we need to follow following steps:

The data points are:

   90, 75, 72, 88, 85

The mean of these data points are:

[tex]Mean=\dfrac{90+75+72+88+85}{5}\\\\\\Mean=\dfrac{410}{5}\\\\\\Mean=82[/tex]

Now on finding the difference terms i.e.

90-82=8

75-82= -7

72-82= -10

88-82=6

and  85-82=3

The square of these difference term is:

8²=64

(-7)²=49

(-10)²=100

6²=36

and  3²=9

Hence, the mean of these squared quantity i.e. Variance is:

[tex]Variance=\dfrac{64+49+100+36+9}{5}\\\\\\Variance=\dfrac{258}{5}\\\\\\Variance=51.6[/tex]