Can you say a coefficient is
significantly different from zero at 5% level if the coefficient of
a variable is twice as large as its estimated standard error?
Explain.

The area of triangle ABC from the given vertices is gotten as; 7.5

We are given the vertices of the triangle as;

A(1, 2)

B(4, 0)

C(1,-4)

The formula for area of a triangle with 3 vertices is;

Area = ¹/₂[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Thus;

Area = ¹/₂[1(0 + 4) + 4(-4 - 1) + 1(1 - 0)]

Area = ¹/₂(4 - 20 + 1)

Area = -7.5

Read more about area of triangle at; https://brainly.com/question/17335144

#SPJ1

The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

To know more about the right circular cylinder, here

https://brainly.com/question/12762578

#SPJ4

Answer:

75

Step-by-step explanation: 100 divided by 4 = 25.

100 - 25 = 75.

Answer:

75$

Step-by-step explanation:

Original Price of the Item: $

100

Discount Percent (% off):

25

%

Results:

Amount Saved (Discount): $

25

Sale / Discounted Price: $

75

Answer:

2

Step-by-step explanation:

It is the smallest among the given numbers.

Answer:

2 is the smallest number.

Step-by-step explanation:

2 is the smallest number because, if you will see all these numbers, they are in decimal and after decimal more values are given which is not equal to zero it is greater than zero. If you will convert the number 2 into decimal it will become 2.0, now here also after decimal more value is given but, it is equal to zero not greater than zero, if there were more zero then also its value will 2 only, but if we will put a number greater than zero then it can be greater than 2 but here it is not. So 2 is the smallest number.

Answer:

\(\sqrt{10}, 2\pi , \sqrt{20}\)

Step-by-step explanation:

These are all irrational.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

The decimal expansion of an irrational number is neither terminating nor repeating.

irrational numbers are real numbers only.

The domain and range of the given function are [−3,∞) and [0,∞) respectively.

The given function is f(x)=2√(x+3).

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

Domain: [−3,∞),{x|x≥−3}

Range: [0,∞),{y|y≥0}

Therefore, the domain and range of the given function are [−3,∞) and [0,∞) respectively.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ1

On solving the provided question, we can say that the equation are cost of producing t units is C = 3t2 + 8t, revenue generated from sales is R = 4t2 + t if t>0 then C = 43t and is t>7 then C =D = 32t

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation are

cost of producing t units is C = 3t2 + 8t,

revenue generated from sales is R = 4t2 + t

if t>0

then C = 43t

and is t>7

then C =D = 32t

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

the answer is c srry if i am wrong

Step-by-step explanation:

if you look at it it says 3rd quartile witch it is at the front so it says 50.5

and the rest is less than that so that why i think it is C. pls mark brainliest if ok

Answer:

Step-by-step explanation:

C ;-;

Answer:

download cymath has answer with step by step work

Answer:

what grade is this ?ujkko

Answer: I believe D.

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

To learn more about Accelation , refer:

https://brainly.com/question/10307723

#SPJ4

Answer:

we will do this lesson in our class day after tomorrow

Step-by-step explanation:

well I don't know the answer

Answer:

m+12

Step-by-step explanation:

m+12

If they work together, they will take 14.3 min to shovel the parking lot.

Provided to us :

time taken by Sebastian to shovel the parking lot = 50 min

time taken by Clair to shovel the parking lot = 20 min

both are doing the same work , so we take work as 1

Now , rate of doing work = work / time

Sebastian's rate of doing work = 1 /50

Clair's rate of doing work =  1/20

If they work together , the rate of doing work will

become = 1/50 + 1/20 = 7/100

So, the time for both to do the same work together will be

time = work / rate

time = 1 / (7/100)

time = 100/7

time = 14.3 minutes

So the time taken by both to work together and clear the parking lot will be 14.3 minutes.

learn more about work-time problems here :

https://brainly.com/question/19382734

#SPJ4

A geometric series is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio. To determine whether a geometric series is convergent or divergent, we need to examine the value of the common ratio.

1. If the absolute value of the common ratio (|r|) is less than 1, the geometric series is convergent.
  - Example: Consider the series 2 + 4 + 8 + 16 + ...
    The common ratio is 4/2 = 2. Since |2| is greater than 1, the series is divergent.
 
2. If the absolute value of the common ratio (|r|) is equal to 1, the geometric series is divergent.
  - Example: Consider the series 3 - 3 + 3 - 3 + ...
    The common ratio is -3/3 = -1. Since |1| is equal to 1, the series is divergent.
 
3. If the absolute value of the common ratio (|r|) is greater than 1, the geometric series is divergent.
  - Example: Consider the series 5 + 10 + 20 + 40 + ...
    The common ratio is 10/5 = 2. Since |2| is greater than 1, the series is divergent.

To summarize, a geometric series is convergent if |r| is less than 1 and divergent if |r| is equal to or greater than 1. Remember to always check the value of the common ratio to determine the convergence or divergence of a geometric series.

To know more about geometric series here:

brainly.com/question/24643676

#SPJ11

the formula for the equation of the line is ,

y-y1 = m (x-x1 )

2)

for point .( -5,-6), and slope m = 2

put x1 = -5 and y1 = -6

the equation of the line is,

y - (-6) = 2 (x -(-5) )

y +6 = 2(x + 5)

thus, the answer is point slope equation is y + 6 = 2(x + 5)

after the session, you can watch the solution again in your brainly profile

3)

for point .( -7,2), and slope m = 3

put x1 = -7 and y1 = 2 and m = 3

the equation of the line is,

y - 2 = 3 (x -(-7) )

y - 2 = 3(x + 7)

thus, the answer is point slope equation is y - 2 = 3(x + 7)

Answer:

13.25 years

Step-by-step explanation:

Take the number of booklets and divide by the number of booklets per year

159/12

13.25 years

Answer:

your cute to

Step-by-step explanation:

Answer:

lol id.k

Step-by-step explanation:

if they cute too say " ty u too;)"

jp I'm bad at giving advice...

Answer:

\(I=\frac{P}{V}\)

Step-by-step explanation:

We are given the equation \(P=I*V\), and we need to solve the equation for \(I\). Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.

To solve for \(I\), we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all \(I\) terms on one side and all \(\text non-I\) terms on the other side.

In this case, we need to "get rid" of the \(V\) from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.

Dividing both sides by \(V\), we get:

\(P=I*V\)

\(\frac{P}{V}=\frac{I*V}{V}\)

\(\frac{P}{V} = I\) (simplify RHS)

\(\bf I=\frac{P}{V}\) (this uses the Symmetric Property of Equality - if a = b then b = a)

For more practice with solving literal equations, check out the following questions:

Therefore, the vector form of the quadratic equation y = x² + 8x + 15 is y = (x + 4)² + 14.

To convert the standard form of a quadratic equation, y = ax² + bx + c, into vertex form, we need to complete the square.

First, let's factor the quadratic coefficient a out of the first two terms:

y = x² + 8x + 15

y = 1(x² + 8x) + 15

To complete the square, we need to add and subtract (b/2)² inside the parentheses:

y = 1(x² + 8x + 16 - 16) + 15

Notice that we added and subtracted 16 inside the parentheses, which is equal to (8/2)². We can now write the first three terms as a perfect square:

y = 1(x + 4)² - 1 + 15

Simplifying the constant terms, we get:

y = (x + 4)² + 14

To know more about vector,

https://brainly.com/question/30907119

#SPJ11

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

y = 8

x = 3

Step-by-step explanation:

5x+y=23

3x+y=17

cancel out the Xs

 15x + 3y = 69

-15x - 5y = -85

-2y = -16

y = 8

Plug in 8 for the Y in any of the equations it doesn't matter

3x + y = 17

3x + 8 = 17

3x = 9

x = 3

hope this helps

b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

Learn more about linear programming

brainly.com/question/30763902

#SPJ11

\( \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

\(x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11\)

Since your answer is ' 11 '

♡ hope it was helpful for you ♡~

Answer:

Thank you for points

Step-by-step explanation:

Thank you

Answer:

Step-by-step explanation:

I got 4 my bad if it's not right

The expression that represents how many cartons of chocolate milk Ms. Terry ordered in October is 30c, where c is the number of cartons of chocolate milk.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

Total number of cases = 15,

The Number of times she ordered = 2

Each case contains c cartons of chocolate milk,

Write the equation as shown below,

Total number of cartoons = Total number of cases  × The Number of times she ordered × c

Total number of cartoons = 15 × 2 × c

Total number of cartoons = 30c

To know more about the expression:

https://brainly.com/question/13947055

#SPJ2

Step-by-step explanation:

x = √(100+66)

=√(166)

hope it helps!

The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.

To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-

(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),

= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: \(\frac{x^{a} }{x^{b} } =x^{(a-b)}\) }

= (-4/5)(a¹²b⁸).

Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).

Learn more about exponents at

https://brainly.com/question/16557220

#SPJ4

An equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

For given question,

We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)

The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.

Thus, the equation of the ellipse will have the form

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

First, we identify the center,  (h, k) . 

The center is halfway between the vertices, (0, 0), (0, 10)

 Applying the midpoint formula, we have:

\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)

Next, we find  a² . 

The length of the major axis,  2a , is bounded by the vertices.

We solve for  'a'  by finding the distance between the y-coordinates of the vertices.

⇒ 2a = 10 - 0

⇒ 2a = 10

⇒ a = 5

⇒ a² = 25

Now we find  c² . 

The foci are given by  (h, k ± c)

So,  (h, k - c) = (0, 3) and  (h, k + c) = (0, 7)

k - c = 3

k + c = 7

After solving above system of equations we have,

c = 2 and k = 5

So, c² = 4

Next, we solve for  b²  using the equation  c² = a² - b²

⇒ 4 = 25 - b²

⇒ b² = 25 - 4

⇒ b² = 21

Now, we substitute the values found for  h, k, a², and  b²  into the standard form equation for an ellipse:

\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Therefore, an equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Learn more about the ellipse here:

https://brainly.com/question/28168673

#SPJ4