What would be the null hypothesis for testing a linear regression model with profit as the dependent variable and sales as the independent variable?.

Answer:

a

Step-by-step explanation:

The opposite sides and opposite angles are congruent, thus

5x - 5 = 3x + 25 ( subtract 3x from both sides )

2x - 5 = 25 ( add 5 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

and

3y - 4 = 2y + 8 ( subtract 2y from both sides )

y - 4 = 8 ( add 4 to both sides )

y = 12

you get maths when you practice itself

so do it yourself

In British Columbia, Canada, the number y of purple martin nesting pairs x years since 2000 can be modeled by the equation y = 0.63x² +51.8x + 144 there were about 1000 nesting pairs around the time of year 2011.5.

To find when there were about 1000 nesting pairs, we need to solve the given equation for x.

y = 0.63x² +51.8x + 144

We substitute y = 1000 and solve for x:

1000 = 0.63x² +51.8x + 144

0.63x² + 51.8x - 856 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 0.63, b = 51.8, and c = -856.

x = (-51.8 ± sqrt(51.8² - 4(0.63)(-856))) / 2(0.63)

x ≈ -86.3 or x ≈ 11.5

Since we are interested in the time after 2000, we discard the negative solution and get:

x ≈ 11.5

This means that there were about 1000 nesting pairs approximately 11.5 years after 2000. To find the actual year, we add 11.5 to 2000:

2000 + 11.5 = 2011.5

Therefore, there were about 1000 nesting pairs around the time of  year 2011.5.

For more details regarding function, visit:

https://brainly.com/question/12431044

#SPJ1

If M is the midpoint of CD, then the  is cos ABM = 8 / (235) sqrt

The Platonic solid known as the regular tetrahedron has four polyhedron vertices, six polyhedron edges, and four equal equilateral triangular faces. It is frequently referred to as "the" tetrahedron. Also included are the Wenninger model and uniform polyhedron.

1: According to a rule of trigonometry, the square of a side in a plane triangle is equal to the sum of the squares of the other sides minus twice that much of the product of those sides and the cosine of the angle between them.

To make things easier, set the tetrahedron's side equal to 1.

A  = ( -1/2 , 0 , 0)

B  = ( 1/2, 0, 0  )

C =  (0, sqrt (3)/2, 0)

D =  (0, sqrt (3)/4 , 6/sqrt (3) )

M =  (0 , (3/8) sqrt (3) , 3/sqrt (3) )  =  (0, (3/8)sqrt (3) , sqrt (3) )

AB  = 1

AM = BM   =  sqrt   [ (-1/2)^2  + (3sqrt (3) / 8)^2  + (sqrt 3)^2   =  sqrt [ 1/4 + 27/64 + 3 ]   = sqrt (235) / 8

By the Law of Cosines

AM^2  =  AB^2 + BM^2 - 2 (AB) (BM)cos (ABM)

0 = 1 - 2 (1) (235 squared / 8) cos ABM

0 = 1 - [sqrt ( 235) / 8] since ABM

cos ABM = -1 / - [ sqrt (235) / 8]

8 / (235) sqrt = cos ABM

If M is the midpoint of CD, then the  is cos ABM = 8 / (235) sqrt

To know more about regular tetrahedron visit:

https://brainly.com/question/11097227

#SPJ4

Answer:

P = 201.

Step-by-step explanation:

In mathematics, distributivity is a property of binary operations in which the multiplication is distributed, dividing the same multiplier by the different multipliers to obtain the result.

Thus, to solve the equation -4 (P - 212) = 44 the following calculation must be performed:

-4 (P - 212) = 44

(-4 x P) - (-4 x 212) = 44

-4P - (-848) = 44

-4P + 848 = 44

-4P = 44 - 848

-4P = -804

P = -804 / -4

P = 201

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The weight of watermelon with stretch the spring 16 inches is 80 pounds.

Given, The length of a spring stretches varies directly with a weak place at the end of the spring.

When Sarah place a 15 pound watermelon on a hanging scale, the spring stretch 3 inches.

Therefore, let the constant of variation be k.

Since the length of the spring varies directly with a weak place at the end of the spring, we have:

Length of spring = k × Weight placed on it

We know that when Sarah placed a 15-pound watermelon on a hanging scale, the spring stretched by 3 inches.

3 = k × 15

⇒ k = 3/15

= 1/5

Length of spring = (1/5) × weight placed on it

Let's use "W" for the weight of the watermelon,

"L" for the length of the spring.

L = (1/5)W

We know that if the weight of the watermelon is such that the spring stretches by 16 inches, we have:

L = (1/5)W

L= 16

(1/5)W = 16

W = 16 × 5

= 80 pounds

Hence, the weight of watermelon with stretch the spring 16 inches is 80 pounds.

The equation that relates the length of the spring to the week use else for the length and W for the week is:

L = (1/5)W.

The constant of variation is a fraction.

To know more about pounds, visit:

https://brainly.com/question/30782274

#SPJ11

Answer:

159 minutes

Step-by-step explanation:

y = .11x + 3

$3 initial fee to start the scooter

$0.11 per minute

y = the total bill price of the scooter ride

x = the total minutes of the ride

plug in what we know : $20.49 for the whole ride

20.49 = 0.11x + 3

SOLVE !! 20.49 - 3 = 0.11x

17.49 = 0.11x

17.49 / 0.11 = x

x = 159 minutes

check answer if you want

20.49 = 0.11 (159) + 3

20.49 = 17.49 + 3

20.49 = 20.49

The value of x in the given 45-45-90 triangle is 9.89.

The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.

In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -

= 7²+7² = H²

= 49 + 49 = H²

= 98 = H²

= √98 = H

= 9.89 = H

Hence, this is the value of x.

Learn more about the Pythagoras Theorem on

https://brainly.com/question/21926466?referrer=searchResults

#SPJ4

As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:

A = 2π ∫ y dx

where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.

In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:

A = 2π ∫_9^20 8√x dx

This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:

A = 2π ∫_3^4 8u * 2u du

= 2π * 8 * ∫_3^4 u^2 du

= 2π * 8 * [u^3/3]_3^4

= 2π * 8 * (64/3 - 27/3)

= 2π * 8 * (37/3)

= 864π

So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.

To know more about area,

https://brainly.com/question/22469440

#SPJ4

Prostate cancer is a type of cancer that develops in the prostate gland.Symptoms of Prostate CancerProstate cancer is usually asymptomatic during the early stages.

The patient with localized prostate cancer will exhibit no specific symptoms. Hence, a Prostate cancer is a type of cancer that develops in the prostate gland, which is located beneath the bladder and is responsible for producing a fluid that nourishes and transports sperm.What is prostate cancer?The prostate is a gland in the male reproductive system located below the bladder and in front of the rectum. It surrounds the urethra, the tube that carries urine from the bladder, through the prostate, and out of the body. The prostate gland produces a milky fluid that forms part of the semen that transports sperm out of the body. Prostate cancer is a type of cancer that develops in the prostate gland.Symptoms of Prostate CancerProstate cancer is usually asymptomatic during the early stages. Later stages of prostate cancer can result in urinary problems and other symptoms. They are:Difficulty in urinatingWeak urine stream or flowDiscomfort in the pelvic region or when urinatingPain in the back, hip, or pelvisBlood in the urine or semenIn conclusion, localized prostate cancer may not exhibit any specific symptoms, which makes it important to get routine screenings for the condition.

To know more about cancer,

https://brainly.com/question/11710623

#SPJ11

Answer:       12 units

Step-by-step explanation:

18.90- 9.30= 9.60

9.60/ 0.80= 12

The expression  (x²)5 is simplified using the exponent properties to  5x².

Index forms of a number can be defined as the number written in the form of an exponential expression.

To be a single number that is raised to another number.

Numbers too large or small are written in index forms, since the law of exponents states the following;

Exponents of numbers are to be added when numbers are multiplied

We are Given the expression;

(x²)5

Using the law of exponents, we have;

5x²

Thus, the expression is simplified using the exponent properties to  5x²

Learn more about index forms here:

brainly.com/question/15361818

#SJP1

The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

To learn more about set of vectors from the given link.

https://brainly.com/question/15519257

#SPJ11

The equations to represent each girl's shoppins spree is 3x + y = 38.0 and 4x + 3y = 71.50. Price of one shirt costs $8.50 and price of one pair of shorts costs $12.50.

Let x be the price of one shirt, and y be the price of one pair of shorts. Then, we can write the following system of equations

For Jazmin

3x + y = 38.0

For Justine

4x + 3y = 71.50

To solve for the price of one pair of shorts using elimination method, we need to eliminate one of the variables. We can do this by multiplying the first equation by 3 and the second equation by -1, and then adding them together

9x + 3y = 114.0

-4x - 3y = -71.50

5x = 42.50

x = 8.50

So, one shirt costs $8.50.

To find the price of one pair of shorts, we can substitute the value of x into either of the original equations and solve for y. Using the first equation

3(8.50) + y = 38.0

25.50 + y = 38.0

y = 12.50

Therefore, one pair of shorts costs $12.50.

To know more about price:

https://brainly.com/question/18909234

#SPJ4

The given statement does not provide any information about the items i and ii, so it is impossible to determine the comparison of their rates of change.

However, in general, the rate of change of an item can be compared to another item by calculating their respective derivatives with respect to time. If the derivative of item i is greater than the derivative of item ii, then the rate of change of item i is greater.

If the derivative of item ii is greater than the derivative of item i, then the rate of change of item ii is greater. If the derivatives are equal, then the rate of change of both items is equal. Without specific information about items i and ii, it is impossible to make a comparison.

For more questions like Derivatives click the link below:

https://brainly.com/question/22008756

#SPJ11

Answer:

\(x = 7\)

Step-by-step explanation:

Follow the following steps

\(4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7\)

Answer:

yes she will

Step-by-step explanation:

just find the perimeter

14+14+10+10 or (14*2)+(10*2)

the add and you get 48 feet

48<50

Hope this helps

Answer:

5+4.5=9.5

Step-by-step explanation:

Answer: the answer is in the attached file/picture ;)

Step-by-step explanation:

The length of the tree's shadow will be 35.59 ft.

Tangent function is one of the six trigonometric functions in mathematics. In heights and distances, tangent of the angle of elevation or depression can be used to calculate the distance or height of an object as -

tanФ = [P]/[B]

The domain and range of the tangent function is -

Domain - R - {(2k+1)π/2}     [where k is an integer]

Range - R  [where R is the set of real numbers]  

Given is angle of elevation of the sun during a certain time of day as 42.4°. At this specific time day a 32.5 foot tree casts a shadow on the ground.

Assume that angle of elevation is equal to Ф

Now, using the tangent function, we can write -

tanФ = [tree height] / [tree shadow]

tan(42.4) = 32.5 / [tree shadow]

tree shadow = (32.5/tan(42.4))

tree shadow = 32.5/0.913 = 35.59 ft

Therefore, the length of the tree's shadow will be 35.59 ft.

To solve more questions on heights and distances, visit the link below-

https://brainly.com/question/3862003

#SPJ1

Answer:

x = 34

Step-by-step explanation:

x/3  - 7/3 = 9

Combine like terms

(x-7)/3 = 9

Multiply each side by 3

(x-7)/3 * 3 = 9*3

x-7 = 27

Add 7 to each side

x-7+7 = 27+7

x = 34

Answer:26.98

Step-by-step explanation:

Answer:

$29.26

Step-by-step explanation:

I subtracted 5.3 from 13 to get 7.7 and then multiplied 7.7 by 3.80 to get 29.26

The relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

In the US, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 years at diagnosis of stage IV prostate cancer: 2,337 white men and 344 black men were alive after 5 years of follow-up.

In order to calculate the relative risk of being alive at 5-years after diagnosis associated between white men and black men, we can use the following formula:

Relative risk = [ (number of white men alive after 5 years) / (total number of white men) ] ÷ [ (number of black men alive after 5 years) / (total number of black men) ]

Therefore, substituting the values given in the formula we get;

[ (2,337) / (6,006) ] ÷ [ (344) / (1,126) ] = 0.63 ÷ 0.31 = 2.03

Therefore, the relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

learn more about relative risk here:

https://brainly.com/question/32288610

#SPJ11

Answer:

\(\bold{\sqrt{75}}\)

Step-by-step explanation:

Given

A \(\triangle GHJ\) in which

\(\angle GHJ = 90^\circ\)

Hypotenuse = 10

Length of another side = 5

To find:

HJ = ?

Solution:

Kindly refer to the image attached in the answer area.

We know that there are only 3 sides in a triangle.

We are given hypotenuse is 10.

i.e. GJ = 10

To find HJ, Base = ?

So, we are given the side length of GH, perpendicular i.e. 5.

Kindly refer to attached image for further details.

Let us use Pythagorean theorem here.

According to Pythagorean theorem:

\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}\)

Answer:

hJ = B     5 route 3

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

16

Step-by-step explanation:

b2=a2-c2 (squared)

20 2 - 12 2= 16

Answer:

16

Step-by-step explanation:

Let

y ----> total cost in dollars

x -----> number of miles

we have that

Option B

y=50

Option A

Find out the slope

take two points from the graph

(0,20) and (150,50)

m=(50-20)/(150-0)

m=30/150

m=1/5=$0.20 per mile

therefore

y=0.20x+20

Part A

For x=75 miles

Option A -----> y=0.20(75)+20=$35

Option B ------> y=$50

therefore

Option A costs less

Find out the difference

$50-$35=$15

Cost $15 less than the other option

Part B

Looking at the graph

For x=150 miles

Both options cost the same

If David drives more than this amount option B costs less

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer:

Step-by-step explanation:

answer B

since for all real positive r,  r^x >0

The unique function who give a negative answer is f(x)=-3* 2^x

Answer:

лдшзщщго

Step-by-step explanation:

Answer: 20x^2 -10x-30

Step-by-step explanation: