consider n>3 lines in general position in the plane. prove that these lines form at least n - 2 triangles. g

Answer: Welp, here it is.

Step-by-step explanation:

I clicked the keyboard :)

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Answer:

Slope is undefined

Step-by-step explanation:

slope = [tex]\frac{\Delta y}{\Delta x}[/tex]

[tex]\frac{5-8}{-7-(-7)}=\frac{-3}{0}[/tex]

Anything divided by zero is undefined

This should make sense visually as the points describe a vertical line at [tex]x=-7[/tex]

Answer: Split it into 8 pieces.

Step-by-step explanation: If there is 4 halves for your friend, and 3 halves for your other friend, that will be 7. If you add another one, it will be 8. Therefore, you should split the cupcake into 8 pieces.

With an off-course speed of 11 miles per hour, the ship will go 33 miles in 3 hours.

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The components in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the result is the number 54. One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of same size.

Here,

speed of ship= 11 miles/hour

time given= 3 hours

distance= speed * time

=11*3

=33 miles

The ship will cover 33 miles in 3 hours while moving at the speed of 11 miles/ hour off course.

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The most important measure used in regression diagnostics is the simple residual.

What is linear rigression?

In statistics, a scalar response and one or more explanatory factors are modeled using a linear approach called linear regression. Simple linear regression is used when there is only one explanatory variable; multiple linear regression is used when there are numerous explanatory variables.

Hypothesis testing is used to confirm if our beta coefficients are significant in a linear regression model. Every time we run the linear regression model, we test if the line is significant or not by checking if the coefficient is significant.

If there is a significant linear relationship between the independent variable X and the dependent variable Y, the slope will not equal zero.

The null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.

The most important measure used in regression diagnostics is the simple residual (e). This is the difference between each observed and predicted value of Y.

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The correct answer is this inequality {x | x > -6}

What does a math inequality look like?

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

Given that:

-6x < 36

we multiply -1 on both the sides

6x > -36

divide 6 on both the side

x > -6

Hence the correct answer is this inequality {x | x > -6}.

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The probability of finding such people will get closer to 0.61 as the sample gets bigger.

a) This means that if you were to take a large sample of US adults and inquire them about having breakfast, about 61%(i.e. 0.61) will say that they usually have breakfast.

b) It is, for sure, expected that if we take a sample of 100, around 61% of these americans will say that they usually eat breakfast. But if the number will be 61 exactly is not a certainty and it will vary from sample to sample.

The probability of finding such people will get closer to 0.61 as the sample gets bigger.

Explanation has been provided in the answers above due to their descriptive nature.

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Answer:

-40 ,12

Step-by-step explanation:

you will have to look for the factors of 480 that satisfy this condition and for this case , they're -40 and 12

Answer:

eighty-four thousand fifty-two

Step-by-step explanation:

the way i think about it is writing it as the sum of the digits together.  

80000+4000+50+2

eighty-four thousand fifty-two

Answer:

Step-by-step explanation:

The answer is B.

The slope of a verticle line is "undefined" by nature. As it is infinite

Answer:

Equation of the line:

y = x + 15

slope: 1

xy + xz is an even integer & x is even and y + xz is an odd integer &  either (x-1) is even or (y-z) is even .

1. xy + xz is an even integer - SUFFICIENT

Given:

xy + z is odd ...(i)

xy + xz is even ...(ii)

subtracting (ii) from (i)

we get xz - z, which should be odd (* since odd - even = odd)

=> z(x-1) is odd

=> both z and (x-1) is odd

=> since (x-1) is odd, x must be even.

2. y + xz is an odd integer -INSUFFICIENT

Given:

xy + z is odd ...(i)

y + xz is odd ...(ii)

subtracting (ii) from (i)

we get xy + z - y - xz

= (x-1)(y-z) , which should be even

=> either (x-1) is even or (y-z) is even ....insufficient to determine

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The positions through which the equation of f^-1(x) travels are: (4, 1), (6, 4)

A mathematical statement called an equation is comprised of two expressions joined together with the equal sign.

A formula would just be 3x - 5 = 16, for instance.

When this equation is solved, we observe that the value of the variable x is 7.

So, (1, 4) and (4, 6) are points through which the equation of f(x) goes.

If the f (x) equation contains (x, y).

Therefore, the f^-1(x) equation is as follows: (y, x).

Here, the f (x) equation passes through the following points: (1, 4) and (4, 6).

So, (4, 1) and (6, 4) are the points through which the equation of f^-1(x)  goes through.

Therefore, the positions through which the equation of f^-1(x) travels are:

(4, 1), (6, 4)

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Correct question:
If the equation of f(x) goes through (1,4) and (4,6), what points does f^-1(x) go through?

The length of the side  BC Iis equal to 28 units which we get by using congruency.

In other words, if the lengths of the sides and angles are the same for two shapes, they are congruent (the same in shape and size). When two triangles are congruent, it is frequently useful to know.

* In triangle ABC

∵ Angles B and C comes to be congruent

∴ m∠B = m∠C

* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length

∴ AB = AC

∵ AB = 4x - 7

∵ AC = 2x + 7

∴ 4x - 7 = 2x + 7 ⇒ collect same terms

∴ 4x - 2x = 7 + 7

∴ 2x = 14 ⇒ divide both the sides by 2

∴ x = 14 ÷ 2 = 7

* Now we can find the length of side BC

∵ The length of side BC = 4x ⇒ substituting the value of x

∴ The length of side BC = 4 × 7 = 28 units

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What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vertex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x plus 7. The length of side A B is labeled as 4 x minus 7. The length of side B C is labeled as 4 x.

it would be 72.94 ounces of formula per day will the parent need to feed the newborn

In this problem, the infant is fed for every 3 hours.

Then, the frequency of feeding for a day would be: (24hours/day) / 3(hours/times)= 6 times/ day.

The volume of feeding for a day that the infant need would be:  = 473.68ml/day

The number of milk for every fed would be: (473.68ml/day)/ (6 times/day)=  72.94 ml/times

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Answer:

FOR EVERY 1 CLASSROOMS THERE ARE 50 STUDENTS, SO 50 STUDENTS IN EACH CLASSROOM the ration would be 50:1

Step-by-step explanation:

Answer:

I think its 50:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

1593/13

122.538

answer: 122.5

Answer:

16 bags: 2 snicker bars and 5 lollipops in each

Step-by-step explanation:

The greatest common factor of 80 and 3 is 16.

80÷5=16

32÷2=16



And 5 represents the lollipops and 2 represents the snickers.

Answer:

Yes, they can conclude that the grades of their graduates are distributed differently than the general population at the school. This is because the test statistic, chi-squared, is greater than the critical value, which is 7.81. This means that the difference between the observed and expected frequencies is statistically significant.

Step-by-step explanation:

There is a difference between the general population and college prep students in GPA.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

Numbers  Observed  Proportion   Expected  (O - E)   (O - E)²      (O - E)²/E

0 - 0.99      19                  0.07           14              5           25            1.79

1 - 1.99       28                  0.21            42            -14          196          4.67

2 - 2.99      82                  0.37           74              8           64           0.865

3 - 3.99      71                  0.35            70              1             1              0.0142

Now, X² = the sum of (O - E)²/E

= 8.33

The P-Value is .039662. The result is significant at p < .05.

Hence,

H₀: There is no difference between the general population and the college prep students in GPA.

H1: There is a difference between the general population and the college prep students in GPA.

Test statistic = 8.33

p - Value = 0.039662

Therefore, the alternate hypothesis is true.

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The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

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Each strength training exercise should be performed for 2 to 6 sets with no more than 6 repetitions. To encourage the greatest outcomes, the training intensity for each set should be 85% or greater.

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). %, which is a relative figure used to denote hundredths of any amount. Since one percent (symbolized as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

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488601 is the sample size recommended for the hypothesis test.

Given,

The life of the battery = 400 hours

Significance level = 0.02

Mean = 391 hours

The production manager needs a sampling technique that would incorrectly indicate that the batch is acceptable only 10% of the time.

We have to find the sample size recommended for the hypothesis test;

Here,

Margin of error E = Z(α/2) × (σ/n²)

From this equation we get n as

n = (z × σ /E)^2

α = 0.02

From the standard normal table value we get

z(α/2) = 2.33

σ = 30

E= 0.1

Therefore,

n =(2.33*30/0.1)^2

n =488601

That is,

The sample size recommended for the hypothesis test is 488601.

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26 cards must be selected from a standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.

We have given that standard deck of 52 cards.

And we have to find the number of cards must be selected from a deck to get at least four hearts, four diamonds and five clubs.

So four hearts + four diamonds + five clubs = 13 cards

The worst case, we may select all the spade i.e 13 cards before any heart, diamond and club.

So the guarantee that at least four hearts, four diamonds and five clubs are selected, 13 + 13 = 26

Therefore 26 cards must be selected from standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.

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Answer:

The answer is 165,1959 if you don't need to show work.

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Z is the incenter of WXY.

m∠WYX = 86

This means,

m∠WYZ = m∠XYZ = x

m∠WYZ + m∠XYZ = m∠WYX

2x = 86

x = 43

m∠WXZ = 33.

m∠WXZ = m∠WXY

Now,

The triangle WXY.

m∠YWX + m∠WXY + m∠WYX = 180

m∠YWX + 33 + 86 = 180

m∠YWX = 180 - 119

m∠YWX = 61

m∠ZWX = 61/2 = 30.5

Thus,

The values of each measure:

m∠WYZ = 43

m∠WXY = 33

m∠YWX = 61

m∠ZWX = 30.5

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answer:

20-5y+2x=52

step-by-step explanation:

plug in the values of x & y into the expression and calculate using the order of operations to get the answer. hope that helps!

Answer: 52

Step-by-step explanation:

1. plug in x and y into the expression : 20 - 5(-4) +2(6)

2. multiply the numbers in the parenthesis:  20 + 20 + 12
3. add all the numbers together (simplify): 52

well, if we take 160 to be the 100%, what is 104 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 160 & 100\\ 104& x \end{array} \implies \cfrac{160}{104}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{100}{x}\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=\stackrel{\%}{65}[/tex]

Coats sold for 65% of its original price at a sale.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, at a sale, coats were sold for $104 each and the coats originally cost $160 each.

Let x% of $160 be $104.

Now, x% of 160=104

x/100 ×160=104

x=104/160 ×100

x=0.65×100

x=65%

Therefore, 65% of coats original price was a coat sold for.

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