_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.

Answer:

12 1/2

1/6

Step-by-step explanation:

5/6 x 15/1

2/3 x 1/4

The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

2x² + 3 = 4x

2x² + 3 - 4x = 0

2x² - 4x + 3 = 0

∆ = (-4)² - (4 × 2 × 3)

= 16 - 24

∆ = 8

√∆ = √8

= 2√2

x1 = -(-4) - 2√2 / (2 × 2)

or

x2 = -(-4) + 2√2 / (2 × 2)

x1 = 4 - 2√2 / 4

or

x2 = 4 + 2√2 / 4

x1 = (2 - √2) / 2

or

x2 = (2 + √2) / 2

Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2

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Answer:

yes it can be bc it is repeating

The total number of notebooks on Sasha's notebook is 2c - 6.

Unitary method:

The unitary method is used to solve problems by first determining the value of a single unit and then multiplying that value by the required value.

So, this method is basically used to find the value of a unit and then the value of a required number of units.

Given,

Sasha has c green notebooks.

She has 6 fewer red notebooks then green notebooks.

So, here we need to find how many notebooks does Sasha have in all.

We know that.

Sasha has c green notebooks.

The number of red notebooks on her is  

=> c − 6.

Here Sasha has either green or red notebooks.

The total number of notebooks on Sasha's notebook is  

=> c + c − 6

=> 2c - 6

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Answer: There are 12 volleyball players

Step-by-step explanation:

If the ratio of basket to volleyball players is 5:2 and there are 30 known basket ball players that means the ratio can be written as 30:x.

If 30 is 5 parts (5x) and volleyball players is 2 parts (2x)  we need to figure out the value of 1 part (x)

This can be done by

5x=30

x=6

Now we know what 1 part is, we can now use that two figure out 2 parts

2x or 2(6)

2(6) = 12

So the ratio is 30:12. This can be confirmed by dividing both sides of the radio by 6 to get 5:2

Answer:

No because their ratios are different and not equivalent

Madelyn reads at the rate of 33.75 pages per hour.

Here rate is defined as the number of pages read per hour. Rate or unit rate is defined as the quantity that is done in 1 unit of time(second, minute or hour). Distance per time is called speed. Velocity per time is called acceleration.

Here it is given Madelyn reads 45 pages in [tex]1\frac{1}{3}[/tex] hours.

Now to find the unit rate we have to divide the number of pages read in the total time taken to read 45 pages.

Unit rate= [tex]45\div 1\frac{1}{3}[/tex]

[tex]=45\div \frac{4}{3}\\=\frac{135}{4} \\=33.75[/tex]

Madelyn reads at the rate of 33.75 pages in 1 hour .

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The cost of 420 grams of cherries is £1.47.

Cherries cost £3.50 per 1000 grams.

Therefore, the cost of 420 grams of cherries can be calculated as follows:

1000 grams of cherries  = £3.50

420 grams of cherries = ?

cross multiply

cost of 420 grams of cherries = 3.50 × 420 / 1000

cost of 420 grams of cherries =  1470 / 1000

cost of 420 grams of cherries = 147 / 100

cost of 420 grams of cherries = £1.47

Therefore, the cost of 420 grams of cherries is £1.47.

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Answer:

Step-by-step explanation:

Cost of 420g cherries

147 ÷ 100

=1.47

therefore the cost of 420 of cherries

= £1.4

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +0}{2}~~~ ,~~~ \cfrac{ y +6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(5~~,~~-8)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x+0}{2}=5\implies \boxed{x=10} \\\\\\ \cfrac{y+6}{2}=-8\implies y+6=-16\implies \boxed{y=-22}[/tex]

Answer: No solution

Step-by-step explanation:

5r + 5 = 3(5r - 4) - 10r  Do multiplication

5r + 5 = 15r - 12 - 10r  combine like terms

5r + 5 = 5r - 12        This is impossible. 5r cannot equal 5 and 12 meaning there is no value of r that makes this equation true so there's No Solution.

You could continue

5r + 17 = 5r

-5r       =-5r

17=0 which is also not true

We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝[tex]\sqrt{x}[/tex] which can again be written as y=[tex]\sqrt{x} k[/tex] where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=[tex]\sqrt{49} k[/tex]=7k⇒12=7k⇒k=[tex]\frac{12}{7}[/tex]

when x=225 then y=[tex]\sqrt{225}[/tex]×[tex]\frac{12}{7}[/tex]=15×[tex]\frac{12}{7}[/tex]=25.7

R is inversely proportional to the cube of S,we can write it as

R∝[tex]\frac{1}{S^{3} }[/tex] ⇒R=[tex]\frac{k}{S^{3} }[/tex]

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=[tex]\frac{k}{27}[/tex]

k=27x8=216

Value of R when S=6 will be

R=[tex]\frac{216}{6^{3} } =\frac{216}{216} =1[/tex]

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝[tex]\frac{\sqrt{t} }{l}[/tex] which can be again written as n=[tex]\frac{\sqrt{t} }{l} k[/tex] where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=[tex]\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k[/tex]

k=[tex]\frac{5}{2}[/tex]

We know that n=10,l=3 and k=[tex]\frac{5}{2}[/tex] substituting these values we can get the value of t

t=[tex](\frac{nl}{k} )^{2}[/tex]=[tex](\frac{10.3.2}{5} )^{2} =12^{2} =144[/tex]

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

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The value of x from the given linear function is 15

A linear function is a function hat has a leading degree of 1

Given the equation below;

2/5x +9 =15

Subtract 9 from both sides

2/5x + 9 - 9 = 15 - 9

2/5x = 15 -  9

2/5x = 6

Multiply both sides by 5

2/5x (5) = 6(5)

2x = 30

x = 15

Hence the value of x from the given linear function is 15

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Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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Answer:

To make AEH(triangle) do a vertical cut from A to H

Step-by-step explanation:

Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.

In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.

But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.

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Answer:

B

Step-by-step explanation:

The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope if the fraction -3/4.

Answer:

[tex] \sf \: b) \: \frac{ - 3 \: }{ 4} [/tex]

Step-by-step explanation:

The coordinates are,

→ x1 = 4, y1 = -2

→ x2 = -4, y2 = 4

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (4 -(-2))/(-4 - 4)

→ m = (4 + 2)/-8

→ m = 6/-8

→ [ m = -3/4 ]

Hence, the option (b) is correct.

Only (B) 4.72% of the couples polled have 5 or more children.

To find what number of children occurred the least frequently:

The percentage is as follows:

Therefore, only (B) 4.72% of the couples polled have 5 or more children.

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The complete question is given below;
A random sample of 1,250 couples was asked the question, "How many children presently reside in your household?"

Number of Children—Frequency

0——250

1——-112

2——560

3 ——201

5 or more ——59

What number of children occurred the least frequently? Calculate this percent

A) 2, 55.2%

B)5 or more, 4.72%

C)5 or more, 11.91%

D)4.21.67%

The equation of the line from the given points marked on the graph is:

3. 3x+y+5=0

4. 3x+y+3=0

Given,

3.The points are:

(-1,-2) and (1,-8)

let the points be :

(-1,-2) = (x₁,y₁)

and (1,-8) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-1)/1-(-1) = y-(-2)/-8-(-2)

x+1/2 = y+2/-6

-6(x+1) = 2(y+2)

-6x-6=2y+4

-6x-2y-6-4=0

-6x-2y-10=0

-2(3x+y+5)=0

3x+y+5=0 is the equation of the line.

4.The points are:

(-3,6) and (3,0)

let the points be :

(-3,6) = (x₁,y₁)

and (3,0) = (x₂,y₂)

The equation of the line passing through the points (-1,-2) and (1,-8)

x - x₁/x₂-x₁ = y - y₁/y₂-y₁

For the given points, the equation is:

x-(-3)/3-(-3) = y-6/0-6

x+3/6 = y-6/-6

-6(x+3) = 2(y-6)

-6x-18=2y-12

-6x-2y-18+12=0

-6x-2y-6=0

-2(3x+y+3)=0

3x+y+3=0 is the equation of the line

Hence we get the required equations of the line.

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The sample proportion, p-hat, of engineers who have master's degrees is   68.5% out of 200 engineers.

p-hat proportion:

In this proportion,  "p" denotes the probability of a certain event occurring or a certain parameter being true for a certain population, but when a population is large, it may be impractical or impossible to measure it directly. So, we have used the proportion for that cases.

The general form for calculating p-hat proportion is,

[tex]\hat{p}=\frac{x}{y}[/tex]

where

x  is the number of successes in the sample, and

y is the size of the sample.

Given,

In a random sample of 200 engineers, 137 have a master's degree.

Here we need to find the the sample proportion, p-hat, of engineers who have master's degrees

According to the question,

x = 137 (number of successes in the sample)

and y = 200 (size of the sample)

Now apply the value on the formula then we get,

[tex]\hat{p}=\frac{137}{200}[/tex]

So, the value of p-hat is

[tex]\hat{p}=0.685[/tex]

The results are usually reported as a percentage, which in this case would be

=> 0.685 x 100 = 68.5%

Therefore, the sample proportion, p-hat, of engineers who have master's degrees is 68.5% out of 200 engineers.

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Answer:

B

Step-by-step explanation:

Answer:

mode

Step-by-step explanation:

The mode of the set is 7, as 7 is the number that occurs the most frequently.

By taking the measure of the given line segment and making arc on one of the end points from one point of the line segment and joining those three points will be the line as twice as the given segment.

Following are the steps to construct a line segment that is twice the given segment :

Step 1 : Take the compass and measure the length of the given line segment let’s say AB

Step 2 : Now with that measure put one end of the compass on one of the points of a line segment, either point A or point B.

Step 3 : Now mark an arc on the right side of the point if the compass is on point B or mark the arc on the left side if the compass is on point A.

Step 4 : Mark that arc as point C and join the line AC or BC.

Hence AC or BC will be the new line segment which will as twice as the given line segment.

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Answer:

Shorter piece: 5    Longer piece: 11

Step-by-step explanation:

(2x+1)+(x)=16

3x+1=16

3x=15

x=5

Answer:

Step-by-step explanation:Answer:it Varys depending on the type of problem

Step-by-step explanation:Answer:

It Varys depending on what type of multi step problem

Step-by-step explanation:

if it has parentheses () then you do whatever problem is in the parentheses next is exponents which is the number of times a number is multiplied by itself the next thing you want to do is multiplication and division from left to right the last thing you will do for a multi step problem is Addition and subtraction from left to right always remember P. E.M.D.A.S for parentheses, exponents, multiplication, division, addition and subtraction.

Answer:

33

Step-by-step explanation:

4+10+12+7

The original price of a computer was reduced by $250. If p = the computer's original price in dollars. p-250 is algebraic expression represents the reduced price.

The original price of a computer was reduced by $250

p = the computer's original price in dollars

reduced price = original price - reduction

algebraic expression can be written as:

p-250

The complete cost of purchasing an item is known as the original cost. The whole costs associated with purchasing and using an asset are taken into account when calculating its initial cost.

Listing price, also known as asking price, is the price at which a seller has placed a property on the market, but selling price is the price at which it actually sells. These days, properties that sell for significantly more than their asking or listed price receive a lot of media attention.

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