What is the equation of the line that passes through the point (4, -8) and has a
slope of -12

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

#SPJ2

Answer:

11 x 1 = 11

hope this helped

Brainliest please <3

Answer:

11*1

Step-by-step explanation:

I'm sorry that's all I can think of.

Answer:

22 times 8 is equal to 176

Step-by-step explanation:

Answer:

3375 is the answer.

Step-by-step explanation: 8500- 1025=7475

so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.

I hope this works :)

Answer:

9

Step-by-step explanation:

ya i bthink 9

Answer:

um it like is 10 instead

Step-by-step explanation:

im sorry if this is wrong, imma lol slow:)

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:

(0,6]

Step-by-step explanation:

Answer:

im pretty sure thats a trench ;_;

Step-by-step explanation:

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:

It is 10 Units

Step-by-step explanation:

Mark me brainliest please :)

also this is EDG 2020

Answer:

10 units

Step-by-step explanation:

In the given figure, we may plot a point B with the coordinate pair (-5,-1).

Lets now draw a triangle ABC by connecting A and C with B perpendicularly.

We now know that,

AB = 5+3 = 8 units

CB=1+5= 6 units

[tex]As\ the\ drawn\ triangle\ is\ a\ right\ triangle, \ as\ angle\ CBA\ is\ 90\ degrees.\\Through\ Pythagoras\ Property,\ we\ may\ conclude\ that\ :\\ AB^{2} + BC^2 = CA ^2\\Hence, \\8^2+6^2=AC^2\\64+36=AC^2\\100=AC^2\\AC=10[/tex]

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

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 )

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:

Step-by-step explanation:

Is b) corresponding angles are congruent.

The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".

Angles that are of the same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of the same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.

We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.

Since Alternate interior angles are always congruent to each other.

Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".

Learn more about congruent triangles here:

https://brainly.com/question/16921692

#SPJ6

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: 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)

Read more about spinners at:

https://brainly.com/question/3765462

#SPJ2

Answer: -3 - 1 = -4

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

Answer:

Chloe prepared 32 kilograms if she worked for 8 hours.

Step-by-step explanation:

28 ÷ 7 = 4

4 kilograms per hour worked

4 × 8 = 32

Answer:

32 kilograms

Step-by-step explanation:

The proportion of kilograms of dough to the number of hours worked is [tex]\frac{28}{7}[/tex] which equals to 4 kilograms / hour.

You multiply 4 kilograms/hour by the number of hours she worked which is 8 hours so 4 kg/hour (8 hours) = 32 kilograms.

Answer:

area of triangle is

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

Answer:

John attempted 500 passes.

Step-by-step explanation:

350 / x = 70%

350 = 0.7x

x = 500

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.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Given:

The equation is

[tex]F=\dfrac{9}{5}C+32[/tex]

To find:

Whether there is a proportional relationship between C and F.

Solution:

If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).

Put F=0 and C=0 in the given equation.

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is not true because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Answer:

korrect

Step-by-step explanation:

it looks right

Answer:64

Step-by-step explanation:

Answer:

2fiftguvvbbhb to the following ad listing has ended on the same to ensure everyone I r

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:

5/1

Step-by-step explanation:

Answer:

what are the equations

Step-by-step explanation: