Multiply.
(х4 + 1)(3х2 + 9x + 2)

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.​

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Answer:

The value is [tex]\sigma_{p} = 0.022[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  900

    The population proportion is  [tex]p = 0.65[/tex]

Generally the standard error of the distribution of sample proportion is mathematically represented as

       [tex]\sigma_{p} = \sqrt{\frac{ p(1 - p)}{ n} }[/tex]

=>     [tex]\sigma_{p} = \sqrt{\frac{ 0.65 (1 - 0.65 )}{ 900} }[/tex]

=>     [tex]\sigma_{p} = 0.022[/tex]

Answer:

what are the equations

Step-by-step explanation:

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Using the above highlights, the possible set of A are:

Hence, the true statements are (A) and (B)

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Answer:

i think A diagonals

just a guess ok

Answer:

0.15 or 3/20

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

9/10 = 0.9

0.9/6 = 0.15

0.15 = 3/20

Answer:

im pretty sure thats a trench ;_;

Step-by-step explanation:

Answer:

Continuously

Step-by-step explanation:

Continuously

here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

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.

It is D

I just took the test and got it right

The biconditional statement is x = 5 if and only if x + 5 = 10.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Biconditional statement.

This means,

The statement and its converse are both true.

Now,

x = 5 if and only if x + 5 = 10

This shows that both the statement and its converse are true.

Thus,

x = 5 if and only if x + 5 = 10 is a biconditional statement.

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Answer:

8,677

Step-by-step explanation:

because the chemical in 87b is the same as 17yu so it would be 8,677.

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:

the first one is 21 and the second one is 11

Step-by-step explanation:

I am not 100 percent sure

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:

area of triangle is

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

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:

y = 1/3x + 8

Step-by-step explanation:

Step 1:

x = 3y - 24           Equation

Step 2:

x + 24 = 3y            Add 24 on both sides

Step 3:

1/3x + 8 = y              Divide

Answer:

y = 1/3x + 8

Hope This Helps :)

Answer: -3 - 1 = -4

Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.

Answer:

????

Step-by-step explanation:

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:

5/1

Step-by-step explanation:

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

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )