Graph the line with the equation y = 1/5 x +4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

Se refieren a las unidades de tiempo del sistema sexagesimal

9:25 son 9 minutos y 25 segundos

33:41:38 son 33 horas, 41 minutos y 38 segundos.

Step-by-step explanation:

El sistema sexagesimal se utiliza para medir tiempos y ángulos.

El tiempo se mide en horas,minutos y segundos

En cambio, los ángulos se miden en grados,minutos y segundos.

Los dos puntos '':'' sirven para separar las unidades.

La base de este sistema es el número 60 :

60 segundos ⇒ 1 minuto

60 minutos ⇒ 1 hora

Eso en cuanto a tiempo

En cuanto a grados :

60 segundos ⇒ 1 minuto

60 minutos ⇒ 1 grado

Cuando tengo dos números como en 9:25 , el número de la derecha corresponde a los segundos y el de la izquierda a los minutos

Entonces, 9:25 son 9 minutos y 25 segundos

Por otro lado, cuando tengo 3 números, como en 33:41:38, el número de la derecha corresponde a los segundos, el de en medio al de los minutos y el de la izquierda al de las horas (si nos referimos a unidades de tiempo).

Entonces, 33:41:38 son 33 horas, 41 minutos y 38 segundos.

Answer:

C for part a                  D for part b

Step-by-step explanation:

Pretty sure this is correct. Sorry if wrong. Brainliest always appreciated

Trigonometric function sin(2x) = 120/169  and cos(x/2) = -√(13)/13

sin(2x) and cos(x/2) given that sin(x) = -5/13 and 3π/2 ≤ x ≤ 2π, we can use the double angle and half angle identities.

First, let's find cos(x) using the Pythagorean identity

cos(x) = ±√(1 - sin^2(x))

cos(x) = ±√(1 - (-5/13)^2)

cos(x) = ±√(1 - 25/169)

cos(x) = ±√(144/169)

cos(x) = ±12/13

Since x lies in the interval 3π/2 ≤ x ≤ 2π, cosine is negative in this interval. Therefore, cos(x) = -12/13.

Now, let's find sin(2x) using the double angle identity:

sin(2x) = 2sin(x)cos(x)

sin(2x) = 2(-5/13)(-12/13)

sin(2x) = 120/169

So, sin(2x) = 120/169.

Next, let's find cos(x/2) using the half angle identity:

cos(x/2) = ±√((1 + cos(x))/2)

cos(x/2) = ±√((1 + (-12/13))/2)

cos(x/2) = ±√((1 - 12/13)/2)

cos(x/2) = ±√(1/13)

cos(x/2) = ±√(1)/√(13)

cos(x/2) = ±1/√(13)

cos(x/2) = ±√(13)/13

Since x lies in the interval 3π/2 ≤ x ≤ 2π, cosine is negative in this interval. Therefore, cos(x/2) = -√(13)/13.

In summary:

sin(2x) = 120/169

cos(x/2) = -√(13)/13

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Answer:

Pick below

Step-by-step explanation:

Using point(0,-3) slope (9) form the line equation will be :

(y- -3) = 9(x-0)

y +3 = 9x        to convert to y = mx+b form, subtract 3 from both sides)

y = 9x-3          to convert to 'standard(?) 'form  subtract 9x from both sides

y - 9x = -3        or , by multiplying by -1   : 9x -y = 3

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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Answer:

I think it's 8.357,8.409,8.458,8.41,8.47,8.5

Step-by-step explanation:

;)

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

\(7.25\% = 0.0725\) in decimal form

Step 2: Solve with the formula

\(A = 16000(1 + 0.0725)^8\\\\A= 28009.05\)

Answer: 6

Step-by-step explanation:if you add -5 1/3 plus (-2/3) that equals to -6 and if you are adding you gotta add a positive 6 to the negative 6 and that makes 0

\( - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0\)

The missing term

Taking the missing term as "x"

\( - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0 \\ \\ \implies - \frac{ 16}{3} - \frac{2}{3} + x = 0 \\ \\ \implies \frac{ - 16 - 2}{3} + x = 0 \\ \\ \implies \frac{ - 18}{3} + x = 0 \\ \\ \implies \cancel \frac{ - 18}{3} + x = 0 \\ \\ \implies - 6 + x = 0 \\ \\ \implies x = 0 + 6 \\ \\ \implies x = \red6\)

\( \therefore \tt{The \: \: missing \: \: term= 6}\)

It will take the painter more than 40 hours to paint all 20 rooms in stately wayne manor .

Time taken for the first 3 rooms =9hrs

Learning curve rate = 85%

Time taken for the next 20 rooms =?

Time taken for 1 room = 9hrs / 3 rooms = 3 hrs

If it takes 3 hrs to paint 1 room

Therefore, it will take x hrs to paint 20 rooms would take;

Hence, 20 rooms multiplied 3 hrs = 60 hours

It may take 60 hours to complete painting the 20 rooms.

At a learning curve rate of 85%, 15% will be the progress rate

Therefore, it will take additional 15% of 60 hours to paint the 20 room.

60+9(15% of 60) =69 hours

The painter would take more than 40 hours to paint the 20 rooms given his efficiency and learning curve rate.  The answer is derived by relating the data provided in the question to the desired answer.

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In △RST;

The vertices are, R(4, 1), S(7, 3), and T(6, 4)

Here, Translation: (x, y) → (x, y−1)

And, Reflection in the y-axis.

Hence, New coordinate of the image of △RST are,

⇒ R' = (- 4, 1 - 1) = (- 4, 0)

⇒ S' = (- 7, 3- 1) = (- 7, 2)

⇒ T' = (- 6, 4 - 1) = (- 6, 3)

Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.

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Answer:

13.4

Step-by-step explanation: sin= opposite/ hyp  sin(48) = h/ 18  h =  sin(48) * 18

Answer:

19, I'm pretty sure?

The Answer is (x+9)^2

Answer:

-81/20

Step-by-step explanation:

X^2+10x+25 =8

Answer shown in figures below

The percent change in the cookies sales from Tuesday to Wednesday equals -18.2%.

Number of cookies sold on Tuesday = 132

Number of cookies sold on Wednesday = 108

Percent change between Tuesday and Wednesday sales

= Difference between the two amounts divide by the original amount Tuesday sales and then multiply by 100 to express the change as a percentage.

The difference between the two amounts is,

= 108 - 132

= -24

Negative result because the Wednesday sales were less than Tuesday sales.

Percent change from Tuesday to Wednesday is

= (-24/132) x 100%

= -18.2%

Rounding to the nearest tenth of a percent, we get,

Percent change = -18.2%

Therefore, there was a 18.2 percent decrease in sales from Tuesday to Wednesday.

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Answer:

v > - 78

Step-by-step explanation:

Version 1.

   v

-----------  < 92

-6 + 79

    v

------------  <  92

    73

    v

------------  <  92(73)

    73(73)

v < 6716

-------------------------------------

Version 2

    v

------------ + 79 <  92

    -6       -79      -79

        v

(-) ------------  <  13(6)

        6(6)

-v < 78

÷-1   ÷-1

v > -78

I hope this helps!

Answer:

below

Step-by-step explanation:

The SUM of a n-gon 's interior angles formula is :

  SUM = ( n-2) * 180       n = 7 for this figure ( 7 angles)

    (7-2) * 180  = 900 degrees    

  EACH angle in this REGULAR polygon is then 900 / 7 = 128.57°

Answer:

a = -3

Step-by-step explanation:

35 = -7a + 14

-14 + 35 = -7a + 14 - 14

21 = -7a

21/-7 = -7a/-7

-3 = a

a = -3

Answer:

-3=a

Step-by-step explanation:

35=-7a+14

subtract 14

21=-7a

divide both sides by -7

-3=a

The probability of both Nic and Tim winning the raffle at the same time is 1/100.

Probability is a mathematical measurement of a likelihood of an event to happen. Given that both Nic and Tim each purchase one raffle ticket out of 10 tickets and that there will be two winners selected, the odds of either Nic or Tim winning the raffle out of 10 ticket is 1/10.

Since the odds of either Nic or Tim winning the raffle ticket is 1 out of 10 or 1/10, we can then calculate the mathematical probability of two events occurring at the same time with a multiplication rule formula as follows:

1/10×1/10=1/100

Hence, the odds of both Nic and Tim winning at the same time is 1 out of 100 or 1/100.

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Based on the following data: rRF=5.5%;rM−rRF=6%;b=0.8;D1=$1.00;P0=$25.00;g=6%;rd= firm's bond yield =6.5%, the firm's cost of equity using the CAPM approach is 10.3%.

To calculate the firm's cost of equity using the CAPM (Capital Asset Pricing Model) approach, we use the following formula:

Cost of Equity (re) = rRF + (rM - rRF) * β

Given: Risk-free rate (rRF) = 5.5% Market risk premium (rM - rRF) = 6% Beta (β) = 0.8

Using the provided data, we can calculate the firm's cost of equity:

Cost of Equity = 5.5% + (6% * 0.8) = 5.5% + 4.8% = 10.3%

Therefore, the firm's cost of equity using the CAPM approach is 10.3%.

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(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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The answer to the question is C, which is integers 4,5 or -4,-3.

Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2

The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.

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The function $f(x, y) = 11x - 5y$ has a global maximum of $105$ at $(0, 6)$ and a global minimum of $-54$ at $(0, -9)$, the first step is to find the critical points of the function.

The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

```

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

The function $f(x, y)$ takes on the value $105$ at $(0, 6)$, the value $-54$ at $(0, -9)$, and the value $-5x + 54$ on the boundary of the region.

Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

The first step is to find the critical points of the function. The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

We can evaluate the function at each of the critical points and at each of the points on the boundary of the region. The results are shown in the following table:

Point | Value of $f(x, y)$

The largest value in the table is $105$, which occurs at $(0, 6)$. The smallest value in the table is $-54$, which occurs at $(0, -9)$. Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

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Answer:

huh?

Step-by-step explanation:

The product of the given expression is \(-12s^2 + 11st - 2t^2\).

The product is a result of one or more multiplications of the given set of numbers or equations.

Given expressions are (-3s +2t) and (4s - t).

We need to find the product of the given expression.

Product = \((-3s +2t)(4s - t).\)

Product = \(- 12 s^2 + 3st + 8st - 2t^2\)

Product = \(-12s^2 + 11st - 2t^2\)

Hence we can conclude that the product of the given expression is \(-12s^2 + 11st - 2t^2\).

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Answer:

x+74

Step-by-step explanation:

Answer:

x=42

Step-by-step explanation:

The degree that added up in a triangle is 180°. Thus, you set up the equation to solve for x.

93+45+x=180

add 93+45=138

subtract both side 138 which get you

x=42

Answer:l-11.2-4.7l

Step-by-step explanation: