how many distinct ordered pairs of positive integers $(m,n)$ are there so that the sum of the reciprocals of $m$ and $n$ is $\frac14$?

The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

To learn more about statistical significance,

brainly.com/question/15848236

#SPJ4

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Step-by-step explanation:

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

Answer:

3 units

Answer:

0

Step-by-step explanation:

\(e^{-5 \lambda}\) is the probability that we have to wait for more than 5 min for the bus to arrive.

So, \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\) ⇒ \(P(x \geq 5)=\int_5^{\infty} f_X(x) d x\)

Now, solving the above function as follows:

\(\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}\)

Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is \(e^{-5 \lambda}\).

Know more about probability here:

brainly.com/question/24756209

#SPJ9

The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function  \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\). Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive

The bearing of R from P is found using trigonometry and the angle addition formula. The bearing is 210 degrees, with a distance of 3 from Q and 5 from P.

To find the bearing of R from P, we can use the bearings and distances given in the problem. Let P be a point, and line segment from P to Q with length 5. Then, from Q to R with length 3.

The angle of bearing of Q from P is 150 degrees, which means that the angle between the line segment PQ and the North direction is 150 degrees. We can say this angle as ∠PQ North. Similarly, the bearing of R from Q is 60 degrees, so we can say the angle ∠Q R North as 60 degrees.

Use trigonometry to find the angle between PR and the North direction. We can use the Law of Cosines to find the angle between PR and PQ:

cos(∠PQR) = (5^2 + 3^2 - PR^2) / (2 * 5 * 3)

cos(∠PQR) = (25 + 9 - PR^2) / 30

cos(∠PQR) = (34 - PR^2) / 30

Solving for cos(∠PQR), we get:

cos(∠PQR) ≈ 0.388

Taking the inverse cosine, we get:

∠PQR ≈ 67.6 degrees

Use the angle addition formula to find the bearing of R from P. Since we know the bearings of Q from P and R from Q, we can use the angle addition formula to find the bearing of R from P:

∠P R North = ∠PQ North + ∠Q R North

∠P R North = 150 degrees + 60 degrees

∠P R North = 210 degrees

Therefore, the bearing of R from P is 210 degrees (correct to the nearest degree).

To know more about trigonometry:

https://brainly.com/question/29002217

#SPJ4

Answer:

Step-by-step explanation:

(9). Reflection across the x-axis keeps the same x-coordinate and y-coordinate is the opposite to original ( x , y ) ------> ( x , - y )

(10).  Reflection across the y-axis keeps the same y-coordinate and x-coordinate is the opposite to original ( x , y ) ------> ( - x , y )

(11). Translation along the vector < 0, 2 >  means that each point of triangle moves 2 units UP  ( x , y ) ------> ( x , y + 2 )

(12). Translation along the vector < 3, - 4 >  means, that each point of triangle moves 3 units to the RIGHT and 4 units DOWN  ( x , y ) ------> ( x + 3 , y - 4 )

(13). ( x , y ) ------> ( - x , - y )

(14). ( x , y ) ------> ( - y , x )  

Answer:

In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.

Step-by-step explanation:

the matrix is used in solving systems of linear equations

Answer:

27.7 (rounded)

Step-by-step explanation:

Step-by-step explanation:

The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface

ii. The miners elevator is deeper than that of the equipment.

The speed of an object is the rate at which the object moves.

i.e speed = \frac{distance}{time}

time

distance

Thus,

Speed of the equipment elevator = 4 feet per second

Speed of the miners elevator = 15 feet per second.

Time of descent of the equipment elevator = 30 + 14

= 44 seconds

So that, the distance of the elevator at this time is;

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 4 x 44

= 176

distance = - 176 feet

The distance of the miners elevator after 14 seconds is:

speed = \frac{distance}{time}

time

distance

⇒ distance = speed x time

= 15 x 14

= 210

distance = - 210 feet

Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.

Therefore, the miners elevator is deeper than that of the equipment.

Answer:

Below

Step-by-step explanation:

Imaginary roots always come in pairs ...if   1- i   is a root then  1+i  is a root

 (x+5)(x-1+i)(x-1-i) = 0      Expand and simplify to:

x^3 + 3x^2 -8x + 10 =0

Answer:

Yes

Step-by-step explanation:

The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?

They are asking if 29 12' elephants are as tall as as a 335' building:

29 × 12' = 348' elephant stack

because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.  

After answering the presented question, we can conclude that Hence the probability of the basketball player making the following basket is 22/25, or around 0.88.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

The likelihood of a basketball player making a shot can be estimated as follows:

P(attempting a shot) = 1 - P (missing a shot)

As a result, the likelihood of the player making a shot can be computed as follows:

P(shooting) = 1 - (3/25)

P(attempting a shot) = 22/25

Hence the likelihood of the basketball player making the following basket is 22/25, or around 0.88.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve for y and z ~

\(\qquad \sf  \dashrightarrow \: z + 61 = 180\)

[ Co- interior angle pair ]

\(\qquad \sf  \dashrightarrow \: z = 180 - 61\)

\(\qquad \sf  \dashrightarrow \: z = 119 \degree\)

now,

\(\qquad \sf  \dashrightarrow \: 5y + 14 = 119\)

[ by Alternate interior angle pair ]

\(\qquad \sf  \dashrightarrow \: 5y = 119 - 14\)

\(\qquad \sf  \dashrightarrow \: 5y = 105\)

\(\qquad \sf  \dashrightarrow \: y = 21 °\)

A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

Learn more about data sets at

https://brainly.com/question/14802806

#SPJ4

The computation shows that the minimum number of chalks that should be extracted at minimum to obtain five chalks of each color is 10.

From the information that's given, it should be noted that there are eight white chalks and the number of yellow chalks are three times more than the number of white chalks.

Therefore, the number of chalks that should be extracted at minimum to obtain five chalks of each color will be:

= 2 × 5

= 10

Therefore, the computation shows that the minimum number of chalks that should be extracted at minimum to obtain rice chalks of each color is 10.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

Answer:-3x+5y=15

Step-by-step explanation:-3x+5y=15

Answer:

Y intercept is 3

Step-by-step explanation:

To determine Y intercept, set x = 0 and use algebra to solve for Y

-3x+5y=15        5y=3(0)+15       5y=15       y=15/5, or 3

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

Learn more about computer program

brainly.com/question/14588541

#SPJ11

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

Learn more on the equation of a circle here: https://brainly.com/question/12182614

#SPJ1

The prοbability οf selecting a yellοw ball οut οf the bag οn the first try is 5/18.

Let's use the variable y tο represent the prοbability οf selecting a yellοw ball οn the first try.

We knοw that the prοbability οf selecting a green ball is 1/6, sο the prοbability οf selecting a nοn-green ball is:

1 - 1/6 = 5/6

We alsο knοw that the prοbability οf selecting a white ball is twice the prοbability οf selecting a yellοw ball, sο:

P(white) = 2P(yellοw)

We can express the prοbability οf selecting any nοn-green ball in terms οf y as fοllοws:

P(nοn-green) = P(white) + P(yellοw) = 2P(yellοw) + P(yellοw) = 3P(yellοw)

The sum οf the prοbabilities οf all pοssible οutcοmes is 1, sο we have:

P(green) + P(nοn-green) = 1

Substituting the values we have derived, we get:

1/6 + 3P(yellοw) = 1

Sοlving fοr P(yellοw), we get:

3P(yellοw) = 5/6

P(yellοw) = 5/18

Therefοre, the prοbability οf selecting a yellοw ball οut οf the bag οn the first try is 5/18.

Learn more about prοbability

https://brainly.com/question/29220105

#SPJ1

907.1 grams = 0.9071 kilograms

Answer:

see drawing

Step-by-step explanation:

Answer:

the inverse of the quadratic function \(f(x) = x^2 - 3\)  is \(\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}\)

Step-by-step explanation:

We need to find inverse of the quadratic function \(f(x) = x^2 - 3\)

Let

\(y=x^2-3\)

Replace x and y

\(x=y^2-3\)

Now, we will solve for y

Adding 3 on both sides

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

\(x+3=y^2\)

Taking square root on both sides

\(\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}\)

Now replace y with \(f^{-1}(x)\)

\(f^{-1}(x)=\pm \sqrt{x+3}\)

So, the inverse of the quadratic function \(f(x) = x^2 - 3\)  is \(\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}\)

Answer:

Step-by-step explanation:

b+9≤2

Subtract 9 from both sides:

9+b≤2

subtract 9 on each side which will be -7

the answer will be b≤-7

Value of r is different for every series

let

a , b , c , d ..... be geometric series then

r = b/a or d/c and so on

where r is common ratio

Answer:

Step-by-step explanation:

2-(-1\8)±-7\4 then

2 plus 1\8 plus -7\4

2 plus 1\8 plus -14\8

2 -13\8

2= 16/8

3\8?

Answer:

3/8

Step-by-step explanation:

Substitute given information into given equation

b=2, c=-7/4

2-(-1/8) + - 7/4

Make 2 into 16/8 (by multiplying it by 8/8 To make denominator the same)

16/8 -(-1/8) + -7/4

17/8 (Because when negative and negative will make positive)

17/8+ -7/4

Make -7/4 into -14/8 (by multiplying it by 2/2 To make denominator the same)

17/8 -14/8 (Because negative and positive will make negative)

3/8 is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

Now,

Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."

To learn more about experimental design, refer to the link:https://brainly.com/question/17274244

#SPJ4

Option B is correct. The statement that is true about the values we have been given here is that They are the only values that make both equations true.

We have been given two equations

The first equation is

4y-3x=16

We have to plug in the values (-5, 0.25) in this equation

4(0.25) -3(-5) =16

Then we have

1 + 15 = 16

Hence 16 = 16 This satisfies the equation.

In the second equation we have to follow the same step

-x-8y=3

Such that

-(-5)-8*0.25 = 3

5-2 = 3

3 = 3 This also satisfies the equation.

Therefore the correct answer option is B

a. They satisfy equation 8 but not equation A.

B. They are the only values that make both equations true.

C. They show that the equations represent the same line.

D. They satisfy equation A but not equation B.

Read more on equations here: https://brainly.com/question/11355101

#SPJ1