In the past month Lisa res Ted 6 video games and 5 dvds the rental price for each veideo game was $2.10 the rental price for each dvd was $2.90 what is the total amount Lisa spent on video games and dvd rentals in the past month

Answer:

The standard deviation increases, it's mean, medium and mode, if you put them in order and then go through and get your middle number it'll be 81.

If a score of 50 is added to the data set,

The standard deviation increases.

The range increases.​

"It is the average of all elements of the data set."

"It is the middle number in a sorted list of numbers."

[tex]SD=\sqrt{\frac{\sum{(x-M)^{2}} }{N} }[/tex]

where, SD is the population standard deviation

N : the size of the population

x : each value from the data

M : the mean of the data

range = maximum value - minimum value

For given situation,

Consider the original set of test scores: 71, 75, 80, 81, 81, 84, 89, 93

N = 8

range R = 93 - 71

⇒ R = 22

Mean M = (71 + 75 + 80 + 81 + 81 + 84 + 89 + 93)/8

⇒ M = 654/8

⇒ M = 81.75

Now, we find the median K

First we sort given data set: 71, 75, 80, 81, 81, 84, 89, 93

The middle numbers are 81 and 81

So, the median is the average of 81, 81

So, K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(89-81.75)^{2}+(93-81.75)^{2}] }{8} }[/tex]

⇒ SD = 6.61

Consider, the set of test scores with 50 added to the data set.

N = 9

range R = 93 - 50

⇒ R = 43

Mean M =  (71 + 75 + 80 + 81 + 50 + 81 + 84 + 89 + 93)/9

⇒ M = 704/9

⇒ M = 78.22

Now, we find the median K

First we sort given data set: 50, 71, 75, 80, 81, 81, 84, 89, 93

The middle number is 81.

So, the median is K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(50-81.75)^{2}+(93-81.75)^{2}] }{9} }[/tex]

⇒ SD = 11.76

So, we can observe that if a score of 50 is added to the data set, the correct statements are:

The standard deviation increases.

The range increases.​

Learn more about mean, standard deviation, median, range here:

https://brainly.com/question/17998130

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Answer:

4x-7

Step-by-step explanation:

Answer:

8x^2-1

Step-by-step explanation:

8x^2-x+4+x-5=8x^2-x+x+4-5=8x^2+4-5=8x^2-1

Answer:

The answer is 0.15

Step-by-step explanation:

In this 2/5 of 3/8 is about endangered species

Therefore to obtain the answer we need to multiply the two fractions

2/5 × 3/8

Fraction of the cover page about endangered species is therefore = 2/5 × 3/8

= 0.15

Answer:

the ask a question about the question isnt working

Step-by-step explanation:

but can you zoom in its really glitchy and blurred from far away

Yeah I would also need it zoomed in please.

Answer:

what are the equations

Step-by-step explanation:

Answer:

The function [tex]a_n=2n-3[/tex] describes the arithmetic sequence.

Step-by-step explanation:

Given the sequence

-1, 1, 3, 5, 7, 9, 11, 13

An arithmetic sequence has a constant difference 'd' is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Compute the differences between all the adjacent terms:

[tex]1-\left(-1\right)=2,\:\quad \:3-1=2,\:\quad \:5-3=2,\:\quad \:7-5=2,\:\quad \:9-7=2,\:\quad \:11-9=2,\:\quad \:13-11=2[/tex]

As the difference between all of the adjacent terms is the same and equal to

[tex]d=2[/tex]

As the first element is

[tex]a_1=-1[/tex]

so the term will be:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=2\left(n-1\right)-1[/tex]

[tex]a_n=2n-3[/tex]

So, the function [tex]a_n=2n-3[/tex] describes the arithmetic sequence.

Answer:

YES

Step-by-step explanation:

The equation, [tex] 3(x + 1)2 = (3x + 3)2 [/tex], would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

[tex] 3(x + 1)2 = (3x + 3)2 [/tex]

[tex] 3(1 + 1)2 = (3(1) + 3)2 [/tex]

[tex] 3(2)2 = (3 + 3)2 [/tex]

[tex] 12 = 12 [/tex] (TRUE)

✍️Substituting x = 2 into the equation:

[tex] 3(x + 1)2 = (3x + 3)2 [/tex]

[tex] 3(2 + 1)2 = (3(2) + 3)2 [/tex]

[tex] 3(3)2 = (6 + 3)2 [/tex]

[tex] 18 = 18 [/tex] (TRUE)

✍️Substituting x = 3 into the equation:

[tex] 3(x + 1)2 = (3x + 3)2 [/tex]

[tex] 3(3 + 1)2 = (3(3) + 3)2 [/tex]

[tex] 3(4)2 = (9 + 3)2 [/tex]

[tex] 24 = 24 [/tex] (TRUE)

Therefore, we can conclude that the equation, [tex] 3(x + 1)2 = (3x + 3)2 [/tex], is an identity.

Answer:

umm let me look at this one more time then I will answer:)

Answer:

the constant is 15

Step-by-step explanation:

because it is constantly going up. the slope (15x) is what changes.

Answer:

slope of fig 1st(m)= 1/4

y-intercept of 1st fig=-1

slope of fig 2= -1

y-intercept of 2nd fig=2

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

Noah         Andre

4                2          =6       1hr

8                4           =12     2hr

12               6           =18     3hr

10                5          =15      2.5hr

Answer:

$1116

Step-by-step explanation:

6% of 900 = $54

54*4 = $216

900 + 216 = $1116

Answer:

The answer is 2.5 minutes per lap.

Step-by-step explanation:

Divide the number of minutes by the amount of laps:

25/10 = 2.5

To check your answer, multiply 2.5 my the amount of laps.

2.5 x 10 = 25

I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)

Answer:

40 seconds per lap

Step-by-step explanation:

10 divided by 25 is 0.4

So im pretty sure the anser is 40 secounds

Sorry if im wrong- im not that great at math eaither I just used a calculator.

Answer:

area of triangle is

[tex]\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24[/tex]

Reasonable Answer:

If x is 4, then the answer is 13 or 5.

Step-by-step explanation:

 9-4=5

For another reason it's 13.

4 minus 13 =9

~~~Hope this helps~~~:)

Answer:

yes

Step-by-step explanation:

multiply 6 for the numerators and denominaters

Answer:

Yes they are proportional

Step-by-step explanation:

May I please have brainliest?

Answer:

Two.

Step-by-step explanation:

200 + 10 + 6 = 216

216 divided by 100 is 2.16

Therefore there are two hundreds in 200 + 10 + 6

Answer:

im pretty sure thats a trench ;_;

Step-by-step explanation:

Answer:

23.8

Step-by-step explanation:

2(5.2) + 2(6.7) = 23.8

Answer:

23.8 ...............

Step-by-step explanation:

I asked my alexa.

Answer:

0 is a rational, whole, integer and real number. Some definitions include it as a natural number and some don't (starting at 1 instead).

Answer:

0 is a rational, whole, integer and real number.

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

[tex] \frac{100}{115}\times {115}{} [/tex]

[tex]100 \: people[/tex]

Answer:

525 miles it can go

6.6 gallons t go 100 miles

Step-by-step explanation:

Answer:

the first one is 21 and the second one is 11

Step-by-step explanation:

I am not 100 percent sure