Mathematics: The graph below have the same shape. What is the equation of the blue graph?

Answer:

[tex]= 8 \frac{27}{132} = 8\frac{9}{44}\\ [/tex]

Step-by-step explanation:

[tex]15 \frac{5}{11} - 7 \frac{3}{12} \\ \frac{170}{11} - \frac{87}{12} \\ \frac{2040 - 957}{132} \\ = \frac{1083}{132} \\ = 8 \frac{27}{132} [/tex]

hope this helps

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Answer:

8 9/44.

Step-by-step explanation:

15 5/11 - 7 3/12

= 15 - 7 + 5/11 - 1/4       The LCD of 4 and 11 is 44 so we have:

15 - 7 + 20/44 - 11/44

= 8 + 9/44

= 8 9/44.

Answer:

10 people

Step-by-step explanation:

Count the x's for more than 1 scarf, which is 2 or 3 scarfs

2 = 9

3 =1

total = 10

Answer:

d = 61.25 m

Step-by-step explanation:

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :

[tex]t=2\sqrt{\dfrac{d}{g}}[/tex] .....(1)

It is required to find the distance covered by ab object in 5 seconds

Solving equation (1) for d. So,

[tex]d=\dfrac{t^2g}{4}[/tex]

Putting all the values we get :

[tex]d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m[/tex]

So, the distance covered by the object is 61.25 m.

The object will fall at a distance of 122.5 meters.

Acceleration is the rate of change of velocity with time, both in terms of speed and direction.

Given that, t = √(2d/g).

t = √(2d/g

t√(g/2) = √d

t²(g/2) = d

Or, d = t²(g/2)

Substitute g = 9.8 and t = 5:

d = 5²(9.8/2)

d = 122.5 meters

Hence, the object will fall at a distance of 122.5 meters.

Learn  more on acceleration here:

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The image of P(-2,1) after it is rotated 90° is (-1,-2).

I'm assuming the limit is supposed to be

[tex]\displaystyle\lim_{x\to3}\frac{\sqrt{2x+3}-\sqrt{3x}}{x^2-3x}[/tex]

Multiply the numerator by its conjugate, and do the same with the denominator:

[tex]\left(\sqrt{2x+3}-\sqrt{3x}\right)\left(\sqrt{2x+3}+\sqrt{3x}\right)=\left(\sqrt{2x+3}\right)^2-\left(\sqrt{3x}\right)^2=-(x-3)[/tex]

so that in the limit, we have

[tex]\displaystyle\lim_{x\to3}\frac{-(x-3)}{(x^2-3x)\left(\sqrt{2x+3}+\sqrt{3x}\right)}[/tex]

Factorize the first term in the denominator as

[tex]x^2-3x=x(x-3)[/tex]

The [tex]x-3[/tex] terms cancel, leaving you with

[tex]\displaystyle\lim_{x\to3}\frac{-1}{x\left(\sqrt{2x+3}+\sqrt{3x}\right)}[/tex]

and the limand is continuous at [tex]x=3[/tex], so we can substitute it to find the limit has a value of -1/18.

Answer:

The 17 disc cases would definitely fit into the box.

Step-by-step explanation:

The given cuboid box has the dimensions 28cm by 15cm by 20cm.

Disc cases are cuboid with dimensions 1.5cm by 14.2cm by 19.3cm.

volume of a cuboid = length × width × height

Volume of the box = 28 × 15 × 20

                               = 8400 cubic centimeters

Volume of each disc case = 1.5 × 14.2 × 19.3

                                           = 411.09 cubic centimeters

When the 17 disc cases are stacked it would have a volume.

The volume of 17 disc cases = 17 × volume of a case

                                               = 17 × 411.09

                                               = 6988.53 cubic centimeters

Thus comparing the volume for 17 disc cases and that of the cuboid box, the disc cases would definitely fit into the box.

i.e           =   [tex]\frac{volume of box}{volume of 17 disc cases}[/tex]  

              = [tex]\frac{8400}{6988.53}[/tex]

             = 1.20

Answer:

Step-by-step explanation:

27.5×14.5×19.5 =7775.625 cm³

1.55 x 14.25 x 19.35=427.393125

427.393125 x 17=7265.683

7775.625>7265.683

19.5x27.5x14.5=7775.625

1.45x14.15x19.25=394.961875

394.961875x17=6714.35

7775.63>6714.35

1.55x17=26.35

27.5>26.35

Answer:

A. 1/2

Step-by-step explanation:

In this uniform distribution (from 6 to 12 pounds), the probability of any given range (from 'a' to 'b' pounds) is determined by:

[tex]P = \frac{b-a}{12 - 6}[/tex]

For a = 8 pounds and b = 11 pounds, the probability is:

[tex]P=\frac{11-8}{12-6}\\P=\frac{3}{6}=\frac{1}{2}[/tex]

The probability of the range of pounds lost being between 8 pounds and 11 pounds is 1/2.

Answer:

By plotting the graph of f(x)=lnx, you can conclude that when x is small, dy/dx has a larger value. For instance, the gradient of the curve when x=0.5 is 2. However, as you move along the x axis, you will see that the graph levels off, indicating a decrease in the slope, or dy/dx. For example, if x=10, dy/dx = 0.1 and when x=20, dy/dx= 0.05 and so on. Eventually, when x is large enough the value of dy/dx will be negligible.

Thus, as x increases, the slope decreases.

Answer:

Explanation shown below

Step-by-step explanation:

f(x)=lnx;

The rate of change is defined as dy/dx;

dy/dx[Inx] = 1/x

and dy/dx is defined as the slope

The nature of the slope is as x increases ; the slope decreases and conversely meaning as x decreases, the slope increases.

Answer:

28

Step-by-step explanation:

Because the lines are parallel:

[tex]\dfrac{m}{21}=\dfrac{8}{6} \\\\m=\dfrac{8}{6}\cdot 21=28[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

We will examine and outline the details of this chi-square test and then conclude in context.

(A) A population of women have just been treated for a urinary tract infection.

(B) Since the chi-square test is done for categorical variables, we will pick out the variable involved here.

That variable is: "UTI Recurrence"

Hence, we are looking at the recurrence of a urinary tract infection, among samples of the population of women who have recently been treated of it.

(C) There are three samples from this population and they are distinguished thus:

SAMPLE 1: Those drinking cranberry juice daily

SAMPLE 2: Those taking lactobacillus drink

SAMPLE 3: Those abstaining from both drinks (the placebo sample)

(D) The result of the test gave good evidence that SAMPLE 1 has the lowest value of the categorical variable involved; as compared to the values from SAMPLE 2 and SAMPLE 3.

In other words, on the average (average here is equal to mode or frequency of occurrence of the variable), the lowest number of UTI recurrences stems from Sample 1, as compared to the numbers of UTI recurrences in the other two samples

.

2.

.

I hope it helps you

Answer:

The number of possible outcomes in each trial of this game is 12

Step-by-step explanation:

Given

Rolling of a 6 sided die followed by tossing of a fair coin

Required

Number of possible outcomes

The first step is to list out the possible outcomes of rolling a die and tossing a coin

Rolling a fair die = {1,2,3,4,5,6}

Tossing a coin = {Head, Tail}

Let Head be represented by H and Tail be represented by T;

So,

Rolling a fair die = {1,2,3,4,5,6}

Tossing a coin = {H, T}

The question states that a roll of a 6 sided die is followed by a toss of a fair coin

This means that each trial is {A roll of die and A toss of coin}

So, the sample space is as follows

Sample Space = {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}

Number of outcomes in the sample space is 12.

Hence, the number of possible outcomes in each trial of this game is 12

Answer:

the total number of possible outcomes in each trial of this game is 12

Step-by-step explanation:

uhhhhhh none :) kk bye <3

Answer:

36 cm

Step-by-step explanation:

Since all measurements of the figure are the same, that means that this figure is a square.  To find the area of a figure multiply length by width.  Since this figure is a square and all sides are equal, we multiply 6 by 6 for an area of 36 cm.

Answer:

n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.

Step-by-step explanation:

Answer:

5,586.17

Step-by-step explanation:

A = $ 5,586.17

A = P + I where

P (principal) = $ 4,000.00

I (interest) = $ 1,586.17

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Answer:

There are 5 number of temperature readings.

Step-by-step explanation:

9, 7, 9, 10, 9

5 readings recorded in the range of 6-10°C.

Answer:

10.

A. 10240

6.

B. 2^18 = 262144

Step-by-step explanation:

Answer:

55.9139785%

Step-by-step explanation:

Is means equals and of means multiply

52 = P * 93

Divide each side by 93

52/ 93 = P

.559139785

Change to percent form

55.9139785%

Complete Question

The complete question is shown on the first  and second uploaded image

Answer:

a

  [tex]\= HK = \= t + \= u[/tex]

b

  [tex]\= GL = \= s - \= t[/tex]

c

[tex]\= JH = \= u + \= s[/tex]

Step-by-step explanation:

Now looking at the diagram

Following the direction of the unit vectors [tex]\= u , \= s, \= t[/tex]

     [tex]\= {HK} = \= {KI} + \= KL[/tex]

=>   [tex]\= HK = \= t + \= u[/tex]

And  

    [tex]\= GL = \= GH + \= GF[/tex]  jjj

=>   [tex]\= GL = \= s - \= t[/tex]

Also

    [tex]\= JH = \= JG + \= JI[/tex]

=>  [tex]\= JH = \= u + \= s[/tex]

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

 (270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or  

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

 180° and -180° around the origin we change only the signs of the

 coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

 we will change the sign of x-coordinate and switch the two

 coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

Answer:

R(O , -90°) & R(O , 270)

Step-by-step explanation:

Answer:

The sample size required is 289.

Step-by-step explanation:

Let p be population proportion of people that would buy the product.

It is provided that the nationwide poll on this type of product and price was run earlier this year, with percentages running from 75% to 80%.

Assume that the sample proportion of people that would buy the product is, [tex]\hat p=0.75[/tex].

A 95% Confidence Interval is to be constructed with a margin of error of 5%.

We need to determine the sample size required for the 95% Confidence Interval to be within 5% of the actual value.

The formula to compute the margin of error for a (1 - α)% confidence interval of population proportion is:

[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The critical value of z for 95% confidence interval is,

z = 1.96.

Compute the sample size required as follows:

[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\ \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\cdot \sqrt{0.75(1-0.75)} }{0.05}]^{2}\\\\=(16.9741)^{2}\\\\=288.12007081\\\\\approx 289[/tex]

Thus, the sample size required is 289.

Answer:

x = 15, AOB = 15, BOC = 165

Step-by-step explanation:

Assume that this is a straight line

2x - 15 + 11x = 180

Combine like terms

13x - 15 = 180

Add 15 on both sides

13x = 195

Divide 13 on both sides

x = 15

Substitute x for 15 in both equations

2(15) - 15 = 15

11(15) = 165

(For checking purposes, 165 + 15 = 180)

Answer:

only allow 3 decimals

90.284 is the answer we removed all others except for 3

Answer:

The situations c, d and e are Inferential statistics.

Step-by-step explanation:

Inferential statistics is used to determine reasons for a situation or phenomenon. It helps to draw conclusions grounded on extrapolations, and is hence fundamentally dissimilar from descriptive statistics that only summarizes the data that has truly been measured.

Descriptive statistics are short-term descriptive coefficients that condenses a given data set, which can be a demonstration of the whole or a sample of a whole population.

All descriptive statistics are either central tendency measure or variability measure. Measures of central tendency define the epicenter position of a distribution for a data set.  

From the provided situations the Inferential statistics are:

c. The mean of a sample set of scores is calculated to characterize the sample.

d. The sample data from a poll are used to estimate the opinion of the population.

e. A correlational study is conducted on a sample to determine whether educational level and income in the population are related.

Thus, the situations c, d and e are Inferential statistics.

The one that demonstrates inferential statistics would be:

c). The mean of a sample set of scores is calculated to characterize the sample.

d). The sample data from a poll are used to estimate the opinion of the population.

e). A correlational study is conducted on a sample to determine whether the educational level and income in the population are related.

Inferential statistics is denoted as the kind of statistics that is concluded through a small sample employed which will act as the representative of the larger population.

The smaller sample's characteristics are analyzed and deductions are made in general about the entire population.

The above statements exemplify these characteristics by calculating the mean of the sample population and performing a correlational examination.

Thus, options c, d, and e are the correct answers.

Learn more about "Statistics" here:

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Answer:

Only 16 whole sandwiches can be produced

Step-by-step explanation:

From the question, we know that we will need two slices of bread to make a full sandwich.

We can divide the number of slices of bread by two to check how many full sandwiches can be made.

Number of complete sets of bread = 32/2 = 16 sets

Similarly, we can divide the number of slices of cheese by 3 to find out the number of complete sets of cheese that will be there:

Number of complete sets of cheese = 51/3 = 17 sets

Since we have more cheese than bread, the number of whole sandwiches that can be made will be limited to the number of sets of bread available. (in this case, the ingredient smaller in quantity will be used to limit the production) which is = 16

Therefore only 16 whole sandwiches can be produced

Answer:

Step-by-step explanation:

I am not really sure because u did not finish the question but is u are asking how much time it takes to fit one tyre:

answer is time/tyres

56min./4

14 min. Per type

Answer:

Step-by-step explanation:    AS YOU KHOW THW ABSOLUTE VALUE OF A QUESTION IS NUMBER ITSELF IF THERE IS MINUS SIGH THEN THE  SIGH OF A NUMBER WILL BECOME PLUS OR IF THERE IS A PLUS SIGH THEN THERE IT WILL REMAIN AS IT IS. IF THERE IS NO NUMBER WITH THE MINUS SIGH THEN THE MINUS SIGH WILL REAMIN AS IT IS.

+2 +9  -   +2

The answer has same sigh, then Plus answer will you get is

+11 - 2 then you will minus the answer will be

+9

HOPE IT HELP YOU

Answer:

x=2

Step-by-step explanation:

Original width = 6

New width 6+x+x

Orignal length 12

New length  12+x+x

A = l*w

160 = ( 6+2x) ( 12+2x)

Factor

160 = 2( 3+x) 2(6+x)

Divide each side by 4

40 = (3+x) (6+x)

FOIL

40 = 18+ 6x+3x+ x^2

40 = 18 +9x+x^2

Subtract 40 from each side

0 = x^2 +9x -22

Factor

0 = (x +11) (x-2)

Using the zero product property

x +11 =0   x-2 =0

x= -11   x=2

Since we cannot have a negative  sidewalk

x =2

Answer:

2

Step-by-step explanation:

Original width = 6

New width = 6 + x + x = 6 + 2x

Orignal length = 12

New length = 12 + x + x = 12 + 2x

A = l * w

160 = (6 + 2x)(12 + 2x)

160 = 2(3+x) * 2(6+x)

160 = 4 * (3 + x)(6 + x)

160/4 = (3 + x)(6 + x)

40 = 18 + 6x + 3x + x^2

40 = 18 + 9x + x^2

x^2 + 9x - 22 = 0

= x^2 + 11x - 2x - 22 = 0

= x(x + 11) - 2(x + 11) = 0    

= (x + 11) (x - 2) = 0

x = - 11, 2

Since we cannot have a negative width because it's a dimension,

x = 2 is right