The standard deviation of Y is 100. The square root of the sum of the squared residuals divided by n-2 equals 15. Does this suggest that regression fits the data well or that it does not fit the data well?

Answer:

Qualquer função booleana que é expressa como uma soma de mintermos ou como um produto de maxtermos é considerada em sua forma canônica. Para converter de uma forma canônica para outra, troque os símbolos Σ e Π e liste os números de índice que foram excluídos da forma original.

Step-by-step explanation:

espero que isto ajude

Você pode, por favor, marcar minha mente

 e tenha um ótimo dia:)

Answer:

-12x + 2

Step-by-step explanation:

(-6) + 8 - 3x -9x

Add like terms

(-6) + 8 = 2

(-3x) + (-9x) = -12x

Put the term with the variable in front

Answer:

(- 5, - 4 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(- 5, 4 ) → (- 5, - 4 )

Answer: 51g : 26g

Step-by-step explanation:

       First, we need to find out what "the rest" is, since that is sugar. We will subtract the grams of strawberries and blackberries from the total grams of sugar.

100g - 23g - 51g = 26 g

       Now, the ratio asks for blackberries to sugar.

Blackberries : Sugar

51g : 26g

      Lastly, it asks for the simplest form. This ratio is already in the simplest form.

51g : 26g

Answer:

1. - 8

2. 3

3. - 2

Step-by-step explanation:

1.

80 = - 10b

- 10b = 80

b = 80 / - 10

b = - 8

2.

6 = 2n

2n = 6

n = 6 / 2

n = 3

3.

- 16r = 32

r = 32 / - 16

r = - 2

Answer:

x-value

Step-by-step explanation:

I got it right on the test :)

First number in an ordered pair of numbers that corresponds to a point on a coordinate system is the x-value.

Coordinate system is used to locate the position of any point and that point can be plotted as an ordered pair (x, y) known as Coordinates. The horizontal number line is called X-axis and the vertical number line is called Y-axis and the point of intersection of these two axes is known as the origin and it is denoted as ‘O’.

According to the question

In coordinate system, point is (x, y)

x ⇒ x-value

y ⇒ y-value

So, the first number in an ordered pair is the x-value.

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P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Perimeter = 184 m

But what is 6y + 4? is it a side?

184 = 4(6y + 4)

184/4 = 6y + 4

46 = 6y + 4

46 - 4 = 6y

42 = 6y

y = 42/6

y = 7

Answer:

d = 7.2

Step-by-step explanation:

12 + d = -4.8

subtract 12 from both sides and you get

d = 7.2

Answer:

  -16.8

Step-by-step explanation:

The equation can be solved by performing the inverse of the operation that is done to the variable. Here, 12 is added to the variable. The inverse of that operation is addition of the "additive inverse", or "opposite" of 12:

  12 + d = -4.8 . . . . . . given equation

  12 -12 +d = -4.8 -12 . . . . . the same operation is done to both sides

  d = -16.8

The value of d that makes the equation true is -16.8.

_____

The addition (subtraction) property of equality tells you that adding (subtracting) the same number from both sides of an equation will not change the value of the variable.

Thus,  the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

The given equation for the total cost of producing q units of a product is c = 5000 + 6q.

To find the average cost per unit for an output of q units, we need to divide the total cost by the number of units produced.

Thus, the average cost per unit can be written as c/q.

Substituting the given equation for c in terms of q, we get

c/q = (5000 + 6q)/q.

Simplifying this expression, we get c/q = 5000/q + 6.

Now, we are given that the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

The total cost equation c can be written as the sum of the fixed cost and the variable cost, i.e., c = 12000 + cv. Substituting the given equation for cv, we get c = 12000 + 7q.

Substituting this equation for c in terms of q in the expression we derived earlier for c/q, we get c/q = (12000 + 7q)/q. Simplifying this expression, we get c/q = 12000/q + 7.

Therefore, the average cost per unit for an output of q units is given by the equation c/q = 12000/q + 7, where the fixed cost is $12,000 and the variable cost is given by the function cv = 7q.

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

240

Step-by-step explanation:

1. The given situation can be described in the following inequality:

2. To solve the prevous inequality, proceedas follow:

write 216 as 6^3 and 36 as 6^2, then, apply log_6 both sides:

then, solve for t, as follow:

Hence, from t = 38 hours the number of type A bacteria will be less than the type B bacteria

3. In a number line, you obtain:

The only solutions to the differential equation y' = 3y - 10y = 0 are y(x) = 0 and y(x) = Ce^(-7x), where C is a constant.

The differential equation y' = 3y - 10y = 0 can be rewritten as y' = -7y = 0, which has a general solution of the form y(x) = Ce^(-7x), where C is a constant.

A) y(x) = e^x is not a solution to the differential equation, because when we substitute it into the equation, we get y' - 3y + 10y = e^x - 3e^x + 10e^x = 8e^x, which is not equal to zero.

B) y(x) = -2x is not a solution to the differential equation, because when we differentiate it, we get y' = -2, which is not equal to 3y - 10y = -7y.

C) y(x) = Sx is not a solution to the differential equation, because when we differentiate it, we get y' = S, which is not equal to 3y - 10y = -7y.

D) y(x) = e^(Sx) is not a solution to the differential equation, because when we substitute it into the equation, we get y' - 3y + 10y = Se^(Sx) - 3e^(Sx) + 10Se^(Sx) ≠ 0 for any value of S.

E) y(x) = 0 is a solution to the differential equation, because y' = 0 and 3y - 10y = 0.

F) y(x) = e^(-2x) is not a solution to the differential equation, because when we substitute it into the equation, we get y' - 3y + 10y = -2e^(-2x) - 3e^(-2x) + 10e^(-2x) = 5e^(-2x), which is not equal to zero.

G) y(x) = e^* is not a well-defined function, so it cannot be a solution to the differential equation.

Therefore, the only solutions to the differential equation y' = 3y - 10y = 0 are y(x) = 0 and y(x) = Ce^(-7x), where C is a constant.

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The area of rectangle ABCD would be,

⇒ Area = 6x² + 15x

Since, A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Since, We have to given that;

In a rectangle,

Lenght of rectangle (L)= 3x

And, Width of rectangle (B) = (2x + 5)

We know that;

Area of rectangle is,

⇒ A = length x width

Substitute given values, we get;

⇒ A = 3x (2x + 5)

Multiply we get;

⇒ A = 3x × 2x + 3x × 5

⇒ A = 6x² + 15x

Therefore, The area of rectangle ABCD would be,

⇒ Area = 6x² + 15x

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Answer:

4/18 and 15/18

Step-by-step explanation:

trust me bro

Answer:4/18 and 15/18

Step-by-step explanation:trust the progres kk

Yvonne can either run 3/8 part of 2/8 part of the race before stopping for water and then continue to finish the race.

Yvonne has completed 3/8 part of the race. Hence, the remaining part of race is 5/8 parts. Based on the diagrammatic representation of fraction of the race, she can choose among the two ways to stop for drinking water one more time before finishing the race.

Either she can run 3/8 part of the race more and then drink the water followed by finishing the race. Or, she can run 2/8 part of the race more before drinking water and finishing the race.

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The complete question is attached in figure.

Answer:

125

Step-by-step explanation:

start with 10, and go backwards

10-6=4   4x100=400   400-150=250   250/2=125

checked answer:

125x2=250  250+150=400   400/100=4   4+6=10

Answer:

126

Step-by-step explanation:

It's 125

Answer:7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

420÷60 is the same as 42÷6.

42 goes into 6, 7 times:

6, 12, 18, 24, 30, 36, 42.

Therefore, 420÷6 is 7.

Please use a calculator next time.

Answer:

There will be 3 1/6 present in 1/2

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3/6 is equal to one half, and you need 6/6 to make the whole, so add 6+3=9

Answer:

376 cm^2

Step-by-step explanation:

SA=((8x6) x2) + ((10x8) x2) + ((6x10) x2)

SA=(48x2) + (80x2) + (60x2)

SA=96+160+120

SA=376 cm^2

The statement that could be true for h for given function is Option C  h(2) = 16 is correct.

The set of all potential values for the independent variable (typically designated as x) for which the function is specified is known as the domain of a function. In other terms, it refers to the entire set of input values for which a function returns a result.

We can state that for any value of x between -3 and 11, the corresponding value of h(x) will be between 1 and 25 because the function h has a domain of -3 x 11 and a range of 1 h(x) 25.

Indicates that the function h is not fixed and that its values change depending on the value of x.

Now, evaluate your options:

Option A h(-3) = -1 - This statement is false because the range of h(x) is stated to be between 1 and 25, so h(-3) cannot be less than 1.

OptionB h(13) = 18 - This statement cannot be true because h(x) is specified to have a range between -3 and 11, so h(13) is not defined.

OptionC h(2) = 16 - The statement may be accurate given that the value of h(x) for any x between -3 and 11 could range from 1 to 25, and there is no evidence to the contrary.

OptionD h(8) = 21 - Since we know that h(8) = 19, this assertion is false.

Therefore, the statement that could be true for h is: h(2) = 16

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The rate of change of the length of the man's shadow when he is 60 feet away from the lamppost is approximately 1.11 ft/sec.

To solve this problem, we can use similar triangles and the chain rule of differentiation. Let y be the length of the man's shadow and x be his distance from the lamppost. Then we have the following ratio of corresponding sides: (6 ft)/(y ft) = (60 ft + x ft)/(22 ft). Solving for y, we get y = (22/6)(60 + x). To find the rate of change of y with respect to time, we differentiate both sides with respect to time and apply the chain rule: dy/dt = (22/6) d/dt (60 + x) = (22/6)(dx/dt). Plugging in the given values, we get dy/dt = (22/6)(5/12) = 1.11 ft/sec. Therefore, the rate of change of the length of the man's shadow when he is 60 feet away from the lamppost is approximately 1.11 ft/sec.

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The graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.

What is a misleading graph?

A misleading graph, sometimes referred to as a distorted graph, misrepresents data, amounts to statistical abuse, and may lead to the drawing of an inaccurate conclusion.

What is a data set?

A data set is a grouping of connected, discrete pieces of connected data that can be viewed separately, together, or handled as a single unit. A data structure of some kind is used to arrange a data set.

Here, we have

2 events with a cost of 1,000-1,499;

4 events with a cost of 1,500 to 1,999;

3 events with a cost of 2,000 to 2,499;

1 event with a cost of 3,000 to 3,499

We concluded from the given dataset that the cost of the event is plotted on the x-axis.

In a given dataset, the entry from 2500 to 2599 is missing.

The graph generates a point cluster that isn't actually displayed on the data components because of the missing item.

Hence, the graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.

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There are approximately 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

Anna has 2 dozen Rollo bars, which is equivalent to 2 x 12 = 24 Rollo bars.

She also has 1 dozen apples, which is equivalent to 1 x 12 = 12 apples.

So, Anna has a total of 24 + 12 = 36 treats to hand out.

Now, she needs to hand out 1 treat to each of the 36 children who come to her door.

This can be thought of as selecting 1 treat from the total of 36 treats for each child, without replacement, as each child can only receive 1 treat.

The number of ways to do this is given by the concept of permutations, denoted by "nPr", which is calculated as;

nPr = n! / (n - r)!

where n is the total number of items (treats) to choose from, and r is the number of items (treats) to choose.

In this case, n = 36 (total number of treats) and r = 36 (number of children).

Plugging in the values, we get;

36P36 = 36! / (36 - 36)! = 36! / 0! = 36!

Since 0! (0 factorial) is equal to 1, we can simplify further:

36! / 1 = 36!

36! ≈ 3.72 x 10⁴¹

So, there are 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

Olya would like to find a way to reduce her current debt.  The table below shows Olya’s monthly income, expenses and net income.

Olya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.

In the second option, she has to skip the montly payment of her school loan which is not possible.

Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she  can pay the credit card payment faster.

Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

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Answer:

answer is B

Step-by-step explanation:

To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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