Identify the discrete data.
A. The number of friends you invited to your last party
B. Your height
C. The time it takes you to complete a crossword puzzle
D. Your weight

Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A([tex]x_1,y_1[/tex]) to B([tex]x_2,y_2[/tex]) is given by the formula:

[tex](x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )[/tex]

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

[tex]x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2[/tex]

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

[tex]J = (-6,-2)[/tex]

[tex]K = (8,-9)[/tex]

The ratio is given as:

[tex]m : n =2 : 5[/tex]

The x-coordinate is then calculated using:

[tex]x = (\frac{m}{m + n }) (x_2 - x_1) + x_1[/tex]

So, we have:

[tex]x = (\frac{2}{2 + 5 }) (8 - -6) -6[/tex]

[tex]x = (\frac{2}{7}) (14) -6[/tex]

Expand

[tex]x = (2) (2) -6[/tex]

Open bracket

[tex]x = 4 -6[/tex]

Subtract 6 from 4

[tex]x = -2[/tex]

Hence, the x coordinate of the segment is -2

Read more about line ratios at:.

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Answer:

The function is

[tex]f(x)=0.5x^3-3x^2+5.5x-2[/tex]

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

[tex]f(x)=0.5\cdot g(x-2)+1[/tex]

We start by calculating g(x-2):

[tex]g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6[/tex]

Then, we can calculate f(x) as:

[tex]f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2[/tex]

Answer:

[tex]f^-^{1} (x)=\frac{19}{x}[/tex]

Step-by-step explanation:

To find the inverse of this function, switch the variables like this:

[tex]\frac{19}{x}\\\\x=\frac{19}{y} \\[/tex]

Then, solve for y, like this:

[tex]y= \frac{19}{x} \\[/tex]

Replace y with [tex]f^-^{1} (x)[/tex].

[tex]f^-^{1} (x)=\frac{19}{x}\\[/tex]

Answer:

The equation of the graph after translating one unit to the left is;

[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]

Step-by-step explanation:

The given equation is [tex]y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3[/tex]

We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4

Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;

[tex]y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]

The equation of the graph becomes;

[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex].

Answer:

its C

the increasing part means when y axis is increasing,you can observe it thru that img

Answer:

2x-11

Step-by-step explanation:

2 x X = 2x + 11

Answer:

Step-by-step explanation:

f(x) = 3x + 2

To find f(5) substitute 5 into f(x)

That's

f(5) = 3(5) + 2

= 15 + 2

= 17

Hope this helps you

Answer:

17

Step-by-step explanation:

You just plug 5 into the equation

f(5)= 3(5)+2

=15+2

=17

Hope this helped! :)

Complete Question

The complete question is shown on the first uploaded image  

Answer:

Yes the students are reasonably good at estimating one​ minute

a

  Option A is  correct

b

  The test statistics is  [tex]t = 0.354[/tex]

Step-by-step explanation:

From the question we are told that

    The  set of data is  

               68, 82 ,  38 ,  62 , 41, 25 , 57 ,  64, 67, 47, 61, 71, 91, 87, 64

     The  population mean is  [tex]\mu = 60[/tex]

The  level of significance is given as[tex]\alpha = 0.01[/tex]

    The  critical value for this level of significance obtained from the normal distribution table is  

         [tex]Z_{\alpha } = 2.33[/tex]

   The  null hypothesis is  

           [tex]H_o : \mu = 60 \ seconds[/tex]

   The alternative hypothesis is  

          [tex]Ha : \mu \ne 60 \ seconds[/tex]      

Generally the sample mean is mathematically represented as

       [tex]\= x = \frac{\sum x_i }{n }[/tex]

where  n = 15

 So  

      [tex]\= x = \frac{ 68+ 82 + 38 + 62 + 41+ 25 + 57 + 64+67+ 47+ 61+ 71+ 91+ 87+ 64}{15}[/tex]

      [tex]\= x = 61.67[/tex]

The standard deviation is mathematically represented as

     [tex]\sigma =\sqrt{ \frac{ \sum (x_i - \= x )^2}{n} }[/tex]

substituting values

      [tex]\sigma =\sqrt{ \frac{ \sum (68-61.67)^2 + ( 82-61.67 )^2 + (38 -61.67)^2 + 62-61.67)^2 + (41-61.67)^2 +(25-61.67)^2 +( 57+61.67)^2 }{15} }[/tex]           [tex]\sqrt{ \frac{ ( \cdot \cdot + ( 64-61.67)^2 + (67-61.67)^2 +(47-61.67)^2 + (61-61.67)^2+ (71-61.67)^2 + (91 -61.67)^2+( 87-61.67)^2 + (64-61.67)^2}{15} }[/tex]=>   [tex]\sigma = 18.23[/tex]

The  test statistics is evaluated as  

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

       [tex]t = \frac{61.67 -60 }{ \frac{18.23 }{\sqrt{ 15} } }[/tex]

      [tex]t = 0.354[/tex]

Now comparing the statistics and the critical value of the level of significance we see that the the test statistics is less than the critical value

Hence the we fail to reject the null hypothesis which mean that these times are from a population with a mean equal to 60 seconds

So we can state that yes the students are reasonably good at estimating one minute given that the sample mean is not far from the population mean

To drink, kneading the dough, taking a bath, water fields and swimming

In my opinion

Answer:

Step-by-step explanation:

Watering the fields is going to take the most water.

Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.

Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.

Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.

To get the answer the way it is asked, read from the bottom up.

Answer:

75% (I think)

Step-by-step explanation:

1/4 of babies have no hair

2/4 of babies have little hair

1/4 of babies have a lot of hair

Answer:

y=3x+1

Step-by-step explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

Answer:

c is 35

d is 13

Step-by-step explanation:

I multiplied both sides, and then simplified the equation.

( plz give me brainliest, that would be most appreciated! )

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Explanation:

Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.

After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.

Use x = 2 to find the value of y

5x+3y = 31

5(2)+3y = 31

10+3y = 31

3y = 31-10

3y = 21

y = 21/3

y = 7

or

2x+3y = 25

2(2)+3y = 25

4+3y = 25

3y = 25-4

3y = 21

y = 21/3

y = 7

Using either equation has x = 2 lead to y = 7.

Therefore, the solution is (x,y) = (2,7)

If you were to graph the two original equations, then they would intersect at (2,7).

Answer:

You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.

[tex]\frac{3}{8}x+2 \neq \frac{3}{2}x+5[/tex]

For [tex]x=0[/tex], we have

[tex]\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5[/tex]

Notice that the answer is true because 2 is not equivalent to 5.

Therefore, the expression is actually non-equivalent.

Answer:

z = 8.5

Step-by-step explanation:

Let O be the center of the circle, and A, B, C are three points on the circle.

Draw OA and OC are shown in the figure. To make the central angle.

In the figure the measure of arc AC is 118 degrees. measure of central angle and subtrahend arc is same. So, central angle is

[tex]\angle AOC=118^{\circ}[/tex]

Subtended angle on arc AC is  

[tex]\angle ABC=(6z+8)^{\circ}[/tex]

According to central angle theorem of circle, central angle is twice of angle subtended by the arc.

[tex]\angle AOC=2\times \angle ABC[/tex]

[tex]118^{\circ}=2\times (6z+8)^{\circ}[/tex]

[tex]118=12z+16[/tex]

[tex]118-16=12z[/tex]

[tex]102=12z[/tex]

[tex]\dfrac{102}{12}=z[/tex]

[tex]8.5=z[/tex]

Therefore, the value of z is 8.5.

Answer:

d:48:(48+36)

Step-by-step explanation:

cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess

Option d 48:(48+36) is the correct option.

Given that:

Statements that Nora wrote are:

Statement Reason

1. Segment ST is parallel to segment RQ Given

2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent

3. Angle SPT is congruent to angle RPQ Reflexive property of angles

4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate

5. 60: (60+x) = ?

It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.

In the given figure, the above fact is shown symbolically as:

[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]

Thus we have :

[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]

Thus Option d  48:(48+36) is the correct option.

Learn more here:

https://brainly.com/question/10677856

Answer:

1. [tex]\bold{S=f(P) = 0.07P}[/tex]

2. x = 16

3. Part 1: P is the independent variable and S is the dependent variable.

Part 2: x is the independent variable and y is the dependent variable.

Step-by-step explanation:

1. To write the function notation for:

Sales tax is 7% of the total price.

Let the total price be [tex]P[/tex].

And sales tax be [tex]S[/tex].

As per the given statement:

[tex]S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P[/tex]

Writing it in the function notation:

[tex]\bold{S=f(P) = 0.07P}[/tex]

2. To find the value of x such that [tex]f(x) = 14[/tex] and

[tex]f(x) = \dfrac{1}4x + 10[/tex]

Putting the value of [tex]f(x) = 14[/tex]

[tex]14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}[/tex]

3. To find the dependent and independent variable.

Independent variables are those whose value is not dependent on the other variable's values.

Dependent variables are dependent on the value of other variables.

In question 1:

[tex]\bold{S=f(P) = 0.07P}[/tex]

P is the independent variable.

S is the dependent variable.

In question 2:

If we write it as follows:

[tex]y=f(x) = \dfrac{1}4x + 10[/tex]

x is the independent variable and y is the dependent variable.

Answer:

Step-by-step explanation:

Let the first number be x

Let the second number be y

For the first equation

One number is 7 less than 3 times the second number is written as

x = 3y - 7

For the second equation

The sum of the two numbers is 29

So we have

x + y = 29

Substitute the first equation into the second one

That's

3y - 7 + y = 29

4y = 29 + 7

4y = 36

Divide both sides by 4

Substitute y = 9 into x = 3y - 7

That's

x = 3(9) - 7

x = 27 - 7

The numbers are 20 and 9

Hope this helps you

Answer:

  $198,859.03

Step-by-step explanation:

The amortization formula is good for this. Fill in the given numbers and solve for the unknown.

 A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

  1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P

  P ≈ 1340/0.00673844 ≈ $198,859.03

The family can afford a loan for $198,859.

Answer:

-3

Step-by-step explanation:

[tex]F(x)=-\,(-x)\\f(-3)=-(-(-3))\\f(-3)=-3[/tex]

Answer:

b    y = 9sin(36)

Step-by-step explanation:

sin A = opp/hyp

for the 36-deg angle, opp = y, and hyp = 9.

sin 36 = opp/hyp

sin 36 = y/9

y = 9 * sin 36

Answer: b   y = 9sin(36)

Answer:

B and D

Step-by-step explanation:

I think this is the answer

Answer:

The Answer is 180

Step-by-step explanation:

Answer:

6 square units

Step-by-step explanation:

Simply count the number of squares:

There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.

Step-by-step explanation:

The solution is the document i sent please check through.

Answer:

3/8

Step-by-step explanation:

Hey there!

Well we need to turn 3 3/8 into an improper fraction.

3*8 = 24

24 + 3 = 27

27 ÷ 9 = 3

3/8

Hope this helps :)

The answer of the given equation is 0.375

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3 \frac{3}{8} \div 9\\\\ = \frac{27}{8} \div 9\\\\ = 3.375 \div 9\\\\ = 0.375[/tex]

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Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Answer:

Two remote interior angles.

Answer:

its a! sorry im so late

Step-by-step explanation:

Answer:

21x³y^4

Step-by-step explanation:

7xy(3x^2y^3)=

21x³y^4

Answer:

21x^3y^4

Step-by-step explanation:

Multiply each term:

21x^3y^4

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