MODELING WITH MATHEMATICS The table shows the total numbers y of people who reported an earthquake x minutes after it ended.
a. Use a graphing calculator to find the equation of the line of best fit. Round all values to the nearest integer.

Answer:

9

Step-by-step explanation:

[tex]\frac{12}{4}+3(2) \\ \\ =3+6 \\ \\ =9[/tex]

Answer:

Answer is 9.

Step-by-step explanation:

If x is 12, then do 12 divided by 4, and you get 3. If y is 2, then di 3 times 2, which is 6. 3 plus 6 is 9.

The expected value is 160 and SE for the number of students in the sample is 9.78

a)Given: students of which 25000 of which 10000 are older than 25 and 25000-10000=15000 are not older than 25.

we represent 400 students by drawing 400 tickets from a box that contains 15000 tickets labeled 0 and 10000 tickets labeled 1

Expected value and standard deviation of a box:

First, we determine the expected value of the box, which is the sum of all values on the tickets by the number of tickets.

[tex]expected value box=\frac{15000*0+10000*1}{25000}\\\\ =\frac{10000}{25000} =\frac{2}{5}[/tex]

expected value box=0.4

let us next determine the standard deviation using the shortcut formula:

SD=(big number-small number)*√fraction with small number*fraction with a small number.

[tex]SD=(1-0)*\sqrt{\frac{10000}{25000} *\frac{15000}{25000} \\\\SD=1*\sqrt{\frac{2}{5} *\frac{3}{5} } \\SD=1*\sqrt{\frac{6}{25} } =\frac{\sqrt{6} }{5}[/tex]

SD=0.4899.

Expected value sum=Number of draws*expected value box

                                  =400*0.4

Expected value sum=160

standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.

SE Sum=√number of draws*SD box

SE Sum=√400*0.4899

             =20*0.4899

 SE Sum=9.78

b)EXpected value and standard error:

The expected value of the percentage is the expected value of the sum divided by the number of draws.

Expected value percentage=Expected value sum/Number of draws*100%

                                               160/400*100

                                              =0.4*100%

Expected value percentage=400%

The standard error of the percentage is the standard error for the sum divided by the sample size:

SE%=SE for number/Number of draws*100%

         =9.798/400*100%

          =0.0245*100%

  SE% =2.45%

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The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x.

When one value is dependent on another i.e if one value increases with respect to another or if one value decreases with respect to another then we can say that the two quantities are in direct variation.

In simple words,  It is the relationship between two variables where one of the variables is a constant multiple of the other.

When two values a and b are varies directly then the relation between them can be shown as given below

=> a ∝ b

=> a = kb  here 'k' constant of variation

Here we have

x values    57   63   66  

y values    19    21    22  

Let's assume that y varies directly with x  

=>  y ∝ x

=>  y = kx ---- (1)  

Where k is the proportionality constant    

From (1)

We can write k = x/y

From the above calculations, if y varies directly with x then x/y must be a constant.

Now check whether the given value can give a constant

At  x = 57 and y = 19

[tex]= > \frac{x}{y} = \frac{57}{19} = 3[/tex]  

At  x = 63 and y = 21

[tex]= > \frac{x}{y} = \frac{63}{21} = 3[/tex]  

At  x = 66 and y = 22

[tex]= > \frac{x}{y} = \frac{66}{22} = 3[/tex]    

From the above calculation,

For given x and y values, x/y is always constant

Therefore,  

It is true that y varies directly with x, and the constant of variation is 3    

Here the function rule will be  y = x × constant of variation

=> y = 3x

Therefore,

The value of y varies directly with x, and the constant of variation is 3, and function rule y = 3x

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Answer:

b

Step-by-step explanation:

a variable is an unknown number normally represented by a letter and in this case the variable is b

hopes this helps please mark brainliest

The correct option is the value of the digit 1 in the actual measurement is 110 the value of the digit 1 in the original measurement. (option C)

Here is the place value of each of the digits in the wrong table length :

1 = thousand

6 = hundred

0 = tens

2 = units

5 = tenth

Here is the place value of each of the digits in the actual table length :

1 = hundred

6 = tens

2 = units

5 = tenth

5 has the same value in both the wrong length and the right length.

The value of 6 in the actual measurement is ten times that of the wrong measurement .

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Forever c x stays in the set but x+y may be out side the set.

What is set?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

a consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid x_2 \geqslant 2\right\} .$$[/tex]

where[tex]$x=\left(x_1, x_2\right)$[/tex]

Then for any [tex]$x=\left(x_1, x_2\right), y=\left(y_1, y_2\right) \in A$[/tex]

ere that[tex]$x+y=\left(x_1+y_1, x_2+y_2\right) \in A\left(\right.$ Since $x_2+y_2 \geqslant 2+2$[/tex]

But take [tex](4,2) \in A$.[/tex]

Then [tex]\frac{1}{2}(4,2)=(2,1) \notin A$.[/tex]

ce. [tex]$\frac{1}{2}(4,2)$[/tex] belongs outside the set

i.. I some vectors in A such that[tex]\frac{1}{2} x \notin A$[/tex].

b Consider the set of vectors in [tex]$\mathbb{R}^2$[/tex]

[tex]A=\left\{\left(x_1, x_2\right) \in \mathbb{R}^2 \mid \begin{array}{ll}\frac{1}{2} x_1 \leq x_2 \leq \frac{3}{2} x_1 & \text { if } x_1 \geqslant 0 \\\frac{3}{2} x_1 \leq x_2 \leq \frac{1}{2} x_1 & \text { if } x_1 < 0\end{array}\right\}$$[/tex]

The geometrical representation of this set is

see that for any scalar [tex]$c, \quad c x=e\left(x_1, x_2\right) \in A$[/tex]. But if we take [tex](3,2) *(-2,3-3) \in A$ but $(3,2)+(-2,-3)=(1,-1) \& A$[/tex].

Thus forever c x stays in the set but x+y may be out side the set.

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Hello,

I hope you and your family are doing well!

a. The variable t represents the number of years since 1999, so the constraints for t can be written as t ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

b. To find the value of S(7), we substitute t = 7 into the function: S(7) = 1.084(7) + 17.392 = 22.688.

c. In context, the value of S(7) represents the amount of money, in billions of dollars, that the US government spent on science, space, and technology 7 years after 1999.

d. The key feature that is found when solving S(t) = 0 is the y-intercept of the graph of S(t). The y-intercept is the point where the graph crosses the y-axis.

e. The value for S(t) = 0 is not reasonable for the context because it represents the amount of money spent on science, space, and technology in 1999, which would be a negative number of years after 1999.

-----

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Happy Holidays!

The customer who purchases 10 Microsoft 365 Business Premium licenses at $22 each per month, for a full year, then 6 months later decides they only need 5 licenses for the remainder of the year, would pay a total charge of $1,980 with a credit of $660 for the year.

The total charge the customer will pay is based on the difference between the total charge for the year and the prorated charge of credit for non-usage.

The charge per month for Microsoft 365 =  $22

The charge per month for 10 Microsoft 365 = $220 ($22 x 10)

The charge for 1 year for one Microsoft 365 = $264 (22 x 12)

The charge for 6 months for 10 Microsoft 365 = $1,320 ($220 x 6)

The charge for 12 months for 10 Microsoft 365 = $2,640 (220 x 12)

The prorated charge for 6 months for 5 Microsoft 365 returned = $660 ($2,640 x 5/10 x 6/12)

The initial total charge for the year = $2,640

The total credit for the year = $660

The total charge for the year = $1,980 ($2,640 - $660)

Thus, the customer will pay $1,980 after receiving a prorated credit for 5 returned licenses worth $660.

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Answer:

Step-by-step explanation:

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is known as an algebraic expression.

910x − 2

simplify | 910 x - 2

2 (455 x - 1).

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y = p x is Proportional relationship.

What is proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

The answer depends on the equation given.

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Answer:Żeby obliczyć ilu rodziców wolontariuszy potrzeba, najpierw trzeba obliczyć ile uczniów będzie brało udział w wycieczce. W klasie piątej jest 20 uczniów, z czego 90% ma pozwolenie na wyjazd, czyli 20 x 0,9 = 18 uczniów z piątej klasy pojedzie na wycieczkę. W klasie szóstej jest też 20 uczniów, z czego 90% ma pozwolenie na wyjazd, czyli 20 x 0,9 = 18 uczniów z szóstej klasy pojedzie na wycieczkę. Razem będzie 18 + 18 = 36 uczniów.

Szkoła wymaga 1 rodzica wolontariusza na każdych 8 uczniów, więc na 36 uczniów potrzeba 36/8 = <<36/8=4.5>>4,5 rodziców wolontariuszy. Ponieważ rodzice wolontariuszy trzeba wybrać całymi osobami, to potrzeba ich 5.

Odpowiedź: Potrzeba 5 rodziców wolontariuszy.

Step-by-step explanation:

Option D is the correct answer. Paired samples t-test is the same as the dependent t-test, but different from one sample z-test.

The dependent t-test also called the paired t-test or paired-samples t-test compares which means the two related groups to determine whether there is a statistically significant difference between these means.

The T-test is defined as a univariate hypothesis test that is based on a t-statistic, On the other side, Z-test is also a univariate test that is based on a standard normal distribution.

There is a small comparison between the t-test and z-test:

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Answer: Choice A, Choice B, Choice C

In other words, it's nearly everything but choice D.

====================================================

Explanation:

Let's say we select "2" as the thing to fill the blank.

2x+3 = -4x+17

2x+4x = 17-3

6x = 14

x = 14/6

x = 7/3

We get one solution in this case.

The same applies for the values 5 and 7. I'll let you do those steps.

In contrast, if we filled the blank with -4, then,

-4x+3 = -4x+17

-4x+4x = 17-3

0x = 14

0 = 14

We get a contradiction which leads to "no solutions".

Visually, the equations y = -4x+3 and y = -4x+17 are parallel lines that never intersect. We need them to intersect if we want a solution. Recall that parallel lines have equal slopes but different y-intercepts. Both sides have a slope of -4 in this case.

Therefore, the quick rule of thumb is this: if the slopes are not equal, then the linear equation has exactly one solution.

Answer:

x = -3

Step-by-step explanation:

0.2x + 2 = 0.2(4 - x)

0.2x + 2 = 0.8 - 0.2x

0.4x = -1.2

x = -1.2/0.4

x = -3

(a) The population of the state was 18.5 million in 2000. (b) The population of the state reaches 26.6 million by 2002

A population is a distinct collection of people, whether that group consists of a nation or a population that shares a particular trait. A population is the people from which a statistical sample is taken in statistics. As a result, a population can be defined as any group of people with something in common.

(a) The right response is 18.5

Given that

t = 0,

A = 18.5

(b) 2002.

Using the formula

18.5e 0.173 x t

Given,

A= 26.6

Then,

A = 18.5 x

[tex]e^{(0.1708t)} 26.6 = 18.5 x[/tex]

[tex]\frac{26.6}{18.5}= e^{(0.1708t)}[/tex]

[tex]1.437838 = e^{(0.1708t)}[/tex]

[tex]Ln \frac{1.437838}{0.1708}[/tex]

About

t = 2.126116

t =2

As a result, 2 represents the closest year when rounding down.

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Answer:

x = 3

Step-by-step explanation:

Since ∠CAT = ∠DOG, ∠CAT = ∠DGO

Therefore AC = DO

8x - 6 = 3x + 9

8x - 3x = 9 + 6

5x = 15

x = 15/5

x = 3

To find the slope of a line that passes through two points, you can use the formula:

slope = (y2 - y1)/(x2 - x1)

In this case, the two points are (0,0) and (1/3, 7/3). Substituting these values into the formula, we get:

slope = (7/3 - 0)/(1/3 - 0)

slope = 7/3

Therefore, the slope of the line that passes through (0,0) and (1/3, 7/3) is 7/3.

(i) At a total of 100 Songs the Charges for Company A and Company B will be Equal.

(ii) I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable have the form ax + b = 0 and are solved using simple algebraic techniques.

Solution:

Let, Songs Downloaded be x

Total Charges of Company A = 15 + 0.75*x

Total Charges of Company B = 0.9*x

(i) Total Charges by Company A = Total Charges by Company B

15 + 0.75*x = 0.9*x

15 = 0.15*x

x = 100 songs

(ii) Charges by Company A to Download 150 Songs = 15 + 0.75 * 150

= 15 + 112.5 = $127.5

Charges by Company B to Download 150 Somgs = 0.9 * 150 = $135

I would rather suggest to select Company A as the Total Charges to download 150 Songs is $127.5

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Answer:

25%

Step-by-step explanation:

is that even a question bro?

Answer:

Pie heysgeusuwhueywgyssyywyw

Answer: 13h

Step-by-step explanation:

126 + 20 = 146
250 - 146 = 104
104 : 8 = 13

He will need 13h

Answer:

13.5

126 plus 20 is $146

250 minus 146 is 108

108 divided by 8 is 13.5

Answer:

2.4 and 2

Step-by-step explanation:

x-0.4

Answer:

2.4, 2, 1.6

Explanation:

The sequence is counting down by 0.4.

The critical probability of a critical value of α = 0.47 is [tex]Z_{0.47}[/tex] = 0.77.

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries, or the level of statistical significance for a given test.

Given:

The critical value, α = 0.47

Calculate the critical probability by the formula given below,

[tex]Z_\alpha = 1 - ( \alpha / 2)[/tex]

[tex]Z_{0.47}[/tex] = 1 - (0.47 / 2)

[tex]Z_{0.47}[/tex] = 1 - 0.235

[tex]Z_{0.47}[/tex] = 0.765 = 0.77

Therefore, the critical probability of a critical value of α = 0.47 is [tex]Z_{0.47}[/tex] = 0.77.

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Answer:

Problem

Solution

Solve for the missing components of the triangle.

A

=

69.62591065

B

=

65.69947977

C

=

44.67460956

a

=

18

b

=

17.5

Answer:

I haven't got a real clue

Step-by-step explanation:

I did some learning about it, I may be wrong(most likely)

but I think it might be SAS.

The shape can be proven congruent.

if you can find an angle which I think is H and K then most likely SAS. If this is a test and is very important then don't listen to this I am most likely wrong