Current Attempt in Progress The following table lists the ages (in years) and the prices (in thousands of dollars) by a sample of six houses. Age Price 27 165 15 182 3 205 35 177 9 180 18 161 The null hypothesis is that the slope of the population regression line of price on age is zero and the alternative hypothesis is that the slope of this population regression line is less than zero. The significance level is 5%. What is the value of the test statistic, t. rounded to three decimal places?

Answer:

Yes

Step-by-step explanation:

Answer:

No, because the coordinates that the slope 1x would make don`t include (5, 1)

Note: A 'solution' implies a coordinate that the slope intersects with

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Answer:

1. 1 in 26

2. 1 in 36

3. 1 in 50

The solution for x in this equation with the given point is x = 3.  Let's use a simple linear equation as an example, which includes terms such as slope (m) and y-intercept (b). The general form of a linear equation is y = mx + b.

To create an equation that can be used to find x

Example equation: 2x + 5 = y

Now, let's say we have a point on the line (3,11). We can substitute the values of x and y in the equation and solve for x:

11 = 2x + 5

To solve for x, we first subtract 5 from both sides:

11 - 5 = 2x
6 = 2x

Next, we divide both sides by 2 to isolate x:

6 / 2 = x
x = 3

So, the solution for x in this equation with the given point is x = 3.

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Answer:

x = -26 and y = 24.

Step-by-step explanation:

Multiply the second equation by 3 to get rid of the y variable:

-6x + 3y = 12

Add the two equations together, eliminating the y variable:

4x + 6y = 40

-6x + 3y = 12

-2x = 52

Solve for x:

-2x = 52

x = -26

Substitute the value of x into one of the original equations to solve for y:

4x + 6y = 40

4(-26) + 6y = 40

-104 + 6y = 40

6y = 144

y = 24

Therefore, the solution to the system of equations is x = -26 and y = 24.

Answer:

2x+y=-6,

as y=X+3,

2x+X+3=-6

3x =-6-3

x =-9÷3

x =-3

y=x+3

y=-3+3

y=0

(-3,0)

B (-3,0)

Answer:

-x2 y

Step-by-step explanation:

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

#1) -3 feet

#2) 5hours

Step-by-step explanation:

#1) you need to find the rate of change- feet per minute

To find the rate, divide -12 feet by 4 minutes (the twelve in negative because it decreases, almost like subtraction)

-12/4= -3 feet per minute.

Now, multiply by amount of minutes- -3x1=  -3 feet in 1 minute

#2) To find the maount of degrees each hour,

divide 10 degrees by 2 degrees per hour.

10/2=5 hours

Hope this helps :)- please give me brainliest!!

Step-by-step explanation:

success

:)

.................

The value of the expression (x⁴- 1) divided by (x - 1) is (x² + 1)(x + 1)

From the question, we have the following parameters that can be used in our computation:

(xˆ4-1) divided (x - 1)

This can be properly expressed as

(x⁴- 1)/(x - 1)

Express the numerator as a difference of two squares

So, we have:

(x² + 1)(x² - 1)/(x - 1)

Express (x² - 1) as a difference of two squares

So, we have:

(x² + 1)(x - 1)(x + 1)/(x - 1)

Divide the common factor

So, we have

(x² + 1)(x + 1)

Hence, the quotient is (x² + 1)(x + 1)

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A real valued function f(x) is said to be decreasing on the interval [a,b] for all x1,x2 if x1 < x2, And f(x1) > f(x2)

A function is said to be increasing if we increase the value of the independent variable the function also increases and a function is said to be decreasing if we increase the value of the independent variable the function decreases.

According to the given question real-valued function f (x) is said to be increasing on the closed interval [a, b] if for all x1, x2 ∈ [a, b], if x1 < x2, then f (x1) < f (x2).

A real valued function f(x) is said to be increasing on the interval [a,b] if a < b, And f(a) < f(b).

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Answer:

5yards

Step-by-step explanation:

Area of the parallelogram = Base * Height

Given

Area = (5x+20)yd²

Base = (x+4)yd

Required

height

Substitute into the formula

5x+20 = x+4 * Height

Height = 5x+20/x+4

Height = 5(x+4)/x+4

X+4 cancels out to have;

Height = 5

Hence the height of the parallelogram is 5yards

Answer:

Step-by-step explanation:

80.08 = (8 * 101) + (8 * 1/102)

80.08 = (8 * 10) + (8 * 1/100)

80.08 = 80 + 8/100

80.08 = 80 + 0.08

Answer:

e

Step-by-step explanation:

Answer:

itanong mo kay kapatid na arlene

It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D

The differential equation to solve for the number of feet plowed, D(t), is dD/dt = k/H, where S(t) is the speed of the plow in feet per second and H is the height of the material being cleared in feet.

We know that the speed of the plow is inversely proportional to the height of the material being cleared. This means that as the height of the material increases, the speed of the plow decreases. We can express this relationship mathematically as S(t) = k/H, where k is a constant of proportionality.

The speed of the plow is also the rate of change of the distance plowed, D(t). This means that dD/dt = S(t). Substituting S(t) = k/H into this equation, we get dD/dt = k/H.

This is the differential equation that we need to solve to find the number of feet plowed, D(t). We can solve this equation using separation of variables.

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Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

The expressions are being matched to their equivalent forms.

(s - 4)(+ 2) - under the "Expression 1" column

12 + 5 + 6 - under the "Expression 2" column

-3:2 + 241 – 20 - under the "Expression 3" column

( + 3)(41 - 5) - under the "Expression 4" column

Expression 1: (s - 4)(+ 2)

This expression is the product of two values, (s - 4) and (+ 2). In mathematics, the plus sign (+) before a value is redundant because it does not change the value. So, this expression is equivalent to (s - 4) * 2.

Expression 2: 12 + 5 + 6

This expression is the sum of three values, 12, 5, and 6. The expression is equivalent to 12 + 5 + 6.

Expression 3: -3:2 + 241 – 20

This expression contains a combination of division, addition, and subtraction operations. The expression is equivalent to (-3) / 2 + 241 - 20.

Expression 4: + ( + 3)(41 - 5)

This expression is the product of two values, (+ 3) and (41 - 5). Again, the plus sign (+) before a value is redundant. So, this expression is equivalent to 3 * (41 - 5).

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The mean number of major earthquakes per year, based on the given data and assuming the Poisson distribution is a suitable model, is 1.24.

In the Poisson distribution, the mean (μ) is equal to the parameter of the distribution. To find the mean number of major earthquakes per year, we can divide the total number of major earthquakes in the given period (124) by the number of years in that period (100):

Mean number of major earthquakes per year = Total number of major earthquakes / Number of years

Mean number of major earthquakes per year = 124 / 100

Mean number of major earthquakes per year = 1.24

Therefore, the mean number of major earthquakes per year, based on the given data and assuming the Poisson distribution is a suitable model, is 1.24.

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Answer:

Without additional context or information, it's difficult to determine the missing side length with certainty. However, we can use some logical reasoning to make an educated guess.

One possible way to approach this problem is to look for relationships between the known side lengths and the missing side length. For example, we can look at the lengths of the sides that are adjacent to the missing side and see if there are any patterns or ratios that might help us determine the length of the missing side.

In this case, we can see that the missing side is adjacent to sides with lengths of 8 and 9, which have a difference of 1. If we assume that the sides of the figure form a regular pattern or sequence, then we might guess that the missing side has a length that is 1 greater than 9, which would give us a length of 10 for the missing side.

However, this is just a guess based on the limited information provided, and there could be other possible solutions depending on the specific properties or context of the figure.

The true statement about the bank survey is (e) The bank does not need to use an inference procedure to determine the participant proportion

The population and the sample size are given as:

N = 60

This is so because the bank surveyed all her staff.

Since all the bank staffs participated in the survey, it means that the proportion of the study is 1 or 100%.

So, the bank do not need to determine the proportion that participates

Hence, the true statement is (e)

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Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

A statistical question is a question where the data collected can vary.

Ex. Statistical - "How old are the students in my class?" The data can vary based on which student you ask.

The following questions are statistical:

●Would you rather have burgers or pizza?

●How much should we leave for the tip?

●Did you like the pizza tonight?

●How many people were sitting at each table this evening?

These questions can vary based on who you ask or where you look

I hope this was helpful! =)

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{540 \: m}}}}}\)

Step-by-step explanation:

Let the length and breadth be 5x and 4x respectively.

Area of rectangular field = 18000 m²

Finding the value of x

Area of rectangle = \( \sf{l \times b}\)

Plug the values

⇒\( \sf{18000 = 5x \times 4x}\)

Calculate the product

⇒\( \sf{18000 = 20 {x}^{2} }\)

Swap the sides of the equation

⇒\( \sf{20 {x}^{2} = 18000}\)

Divide both sides of the equation by 20

⇒\( \sf{ \frac{20 {x}^{2} }{20} = \frac{18000}{20} }\)

Calculate

⇒\( \sf{ {x}^{2} = 900}\)

Squaring on both sides

⇒\( \sf{x = 30}\)

Replacing the value of x in order to find the value of length and breadth

Length = \( \sf{5x = 5 \times 30 = 150 \: m}\)

Breadth = \( \sf{4x = 4 \times 30 = 120 \: m}\)

Finding the perimeter of the rectangular field

Perimeter of rectangle = \( \sf{2(l + b)}\)

plug the values

⇒\( \sf{2(150 + 120)}\)

Distribute 2 through the parentheses

⇒\( \sf{300 + 240}\)

Add the numbers

⇒\( \sf{540 \: m}\)

Hope I helped !

Best regards!!

Answer:

I guess the answer is

\( \frac{19}{20} \)

Answer:

A i think im 98% sure

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

write it as a fraction first, so 15/20.

make the bottom number 100 to get the mark out of 100.

to do this, multiply the bottom by 5 (20x5=100) and then do the same to the top.

you get 75/100. this equals 75%

Answer:

75%

Step-by-step explanation:

In this question, 20 is the highest score you can get on the test so 20 is 100%. We will now want to divide 100 by 20.

100 ÷ 20 = 5

Each score Amore got on the test was worth 5% of the test.

We know he scored 15 on the text, so now we want to multiply 15 with 5.

15 × 5 = 75

Amore scored 75% on his test.