what is the slope of the line

The standard normal distribution (z distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. Any point (x) from a normal distribution can be converted to the standard normal distribution (z) with the formula z = (x-mean) / standard deviation.

In information, the standard deviation is a degree of the quantity of variation or dispersion of a fixed of values. A low standard deviation indicates that the values tend to be near the implied (additionally called the predicted price) of the set, whilst an excessive preferred deviation suggests that the values are spread out over a wider variety.

Popular deviation can be abbreviated SD, and is maximum commonly represented in mathematical texts and equations by means of the decrease case Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample general deviation.

The standard deviation of a random variable, pattern, statistical population, statistics set, or possibility distribution is the square root of its variance. it's miles algebraically easier, even though in exercise less sturdy, than the common absolute deviation.

To learn more about Standard deviation visit here:

brainly.com/question/23907081

#SPJ4

Answer:

22x15x5=1650 divided by 3.18= 519

Step-by-step explanation:

Answer:

More fish were caught per person on Day 2

Step-by-step explanation:

Day 1:

3 people caught 1 fish = 3 fish

6 people caught 2 fish = 12

6 caught 3 = 18

6 caught 4 = 24

6 caught 5 = 30

3 caught 6 = 18

Total fish caught =  105

That's 105/30 = 3.5 fish per person

Day 2:

3 people caught 1 fish = 3 fish

3 caught 2 = 6

4 caught 3 = 12

6 caught 4 = 24

7 caught 5 = 35

7 caught 6 = 42

Total fish caught = 122

122/30 = 4 fish per person

Answer:

42 tiles

Step-by-step explanation:

Area of rectangular region= 70 X 36 = 2520 cm2

Area of 1 tile= 5 X 12 = 60 cm2

The number of tiles needed = Area of the rectangular region / Area of one tile = 2520/60 = 42

The value of x = [tex]\sqrt{30}[/tex], i.e., 5.478.

Value is the value of each digit, depending on where it is in the number.

It is calculated by multiplying the digit value of the number by the denomination value.

Value = Location Value x Face Value.

The tens place value  2 in the number 24 is because there are two complete sets of tens.

The  value  4 for 24 units is due to 4 units  not  in the full set of 10.

A value can be defined as something that is valued by someone.

In other words, values ​​are what a person or organization considers “important”.

Examples include courage, honesty, freedom, and innovation.

By Pythagoras theorem,

(Hypotenuse)[tex]^2[/tex] = (Perpendicular)[tex]^2[/tex] + (Base)[tex]^2[/tex]

In the given figure, in first triangle

[tex](8)^2 = (5)^2 + (y)^2\\y^2 = 39[/tex]

In second triangle,

[tex]39 = (3)^2 + (x)^2[/tex]

x = [tex]\sqrt{30}[/tex]

To learn more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

Answer:

There are more consonants.

Step-by-step explanation:

The given ratio is

[tex]Consonants : Vowels\\& \\7:5[/tex]

To read the ratio given, simply understand which numbers refer to which term. In this case, it reads as:

For every 7 consonants, there are 5 vowels.*

There are 2 parts more consonants in comparison to the amount of vowels in the given word.

Learn more about ratios, here:

https://brainly.com/question/13419413

Answer:

Common ratio = 2, Third term = 12

Step-by-step explanation:

ar⁴ = 48........ equation 1

ar = 6.......... equation 2

divide equation 1 by equation 2

r³ = 8

r = ³√8

r = 2

To get the third term we must first get the first term

Since ar = 6 and r = 2, then 2a = 6 and a = 3

3rd term = ar²

3 × 2² = 3 × 4 = 12

Answer:

r = 2 and a₃ = 12

Step-by-step explanation:

the nth term of a GP is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₂ = 6 and a₅ = 48 , then

a₁r = 6 → (1)

a₁[tex]r^{4}[/tex] = 48 → (2)

divide both sides of (2) by (1) to eliminate a₁

[tex]\frac{a_{1}r^{4} }{a_{1}r }[/tex] = [tex]\frac{48}{6}[/tex] ( cancel r and [tex]r^{4}[/tex] by r )

r³ = 8 ( take cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

substitute r = 2 into (1) and solve for a₁

a₁ × 2 = 6 ( divide both sides by 2 )

a₁ = 3

a₂ = a₁ × r = 3 × 2 = 6

a₃ = a₂ × 3 = 12

The value of the expression (1/3)x + 5x, at x = - 6 is - 32.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.

Given, An expression (1/3)x + 5x, when x = - 6.

Replacing - 6 with x we have,

(1/3)(-6) + 5(-6).

= - 2 - 30.

= - 32.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Kate will have to pay $56.25 out of pocket for her doctor visit.

The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.

The formula for calculating the amount Kate needs to pay is as follows:

Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible)  In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.

Learn more about total cost here:

https://brainly.com/question/28652728

#SPJ4

A negative number's square root is not a real number. Since a square is either positive or zero, negative numbers don't have real square roots.

Yes, the number three is real. We are aware that both rational and irrational numbers can make up a real number. We can also say that 3 is a real number because it is an irrational number.

On the GED math test, the square root of negative numbers is also marked as UNDEFINED. There is no number in the set of real numbers that is a negative product when multiplied by itself. As a result, there is no known definition for it.

To learn more about negative numbers here:

https://brainly.com/question/4316749

#SPJ4

F(x) and G(x) both are linear equation. We can form parabola if we multiply them and H(x) can be factor of F(x) and G(x) we we add them.

In the given question, we have to find the relationship between F(x) and G(x).

Given That:

F(x) = 3x + 2

G(x) = 2x + 1

We receive at least one x squared when we multiply F(x) and G(x), which are both linear functions, to create H(x). The graph H(x) is now parabolic.

You can either realize that H(x) obviously factors into F(x) and G(x), or you can use the quadratic formula to determine the two points where the graph crosses the x-axis (x).

To learn more about linear equation link is here

brainly.com/question/21835898

#SPJ4

The complete question is:

What is the relationship between F(x) and G(x)?

F(x) = 3x + 2

G(x) = 2x + 1

The number of months it will take Ricky to save enough money to buy the television listed, is 9.05 months

First, find the number of months that it will take Ricky to have enough money to buy the television, first, find the amount he makes per month from lawn mowing :

= ( 3 x 20 ) - 6

= $ 54

When added to the paper route, this is:

= 54 + 45

= $ 99

The number of months he would take is:

= ( Price of television - Amount Ricky currently has ) / Amount earned per month

= ( 936 - 40 ) / 99

= 9.05 months

Find out more on months at https://brainly.com/question/7668238

#SPJ1

Answer:

11 2/3 mph about

Step-by-step explanation:

Maya have $212.50 money in her savings to begin with, and she have left $127.50 in her savings after buying the bicycle.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Maya spent 40% of her savings to pay for a bicycle that cost her $85.

Now, Let the amount of money in her savings to begin with = x

So, We can formulate;

⇒ 40% of x = $85

Solve for x;

⇒ 40/100 × x = $85

⇒ 2/5x = $85

⇒ 2x = $85 × 5

⇒ 2x = $425

⇒ x = $425/2

⇒ x = $212.50

Thus, She have left in her savings after buying the bicycle is,

⇒ $212.50 - $85

⇒ $127.50

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

Answer:

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

Step 1: Perform the horizontal line test as the first step. Move a horizontal line from the graph's bottom to its top to accomplish this. The graph fails the horizontal line test and does not have an inverse if the horizontal line touches two or more points on the graph at any given time. Continue to Step 2 if the graph passes the horizontal line test.

Step 2: Determine the given function's domain and range in step two.

Step 3: A square root function is the inverse of a quadratic function. We switch the domain and range in order to graph the inverse. The graph has the same structure but has been rotated to have the original function's domain and range switched.

A quadratic function is the inverse of a square root function. We switch the domain and range of the original function to get the graph of the inverse. In other words, the range of the inverse quadratic function is the domain of the square root function. The domain of the inverse quadratic function is the range of the square root function. The graph's geometry is the same, but it has been rotated to give it the right domain and range.

To learn more about inverse of a square root:

https://brainly.com/question/28887897

#SPJ4

64 is a real number. It is not a imaginary number.  Real numbers have real square roots and imaginary numbers do not have real square roots.

Square of a number is expressed as when a number is squared it is multiplied by itself. 64 is a perfect square of a number. It is a perfect square of the 8. The perfect square of a numbers explains the properties of Real numbers. It includes integers, natural numbers. The real numbers can be of positive and can be of negative numbers. It can be both a rational number or a irrational numbers. The difference between the real number and imaginary number is the square of a real number is non negative but the square of an imaginary number is negative.

To learn more about Real numbers please visit:

https://brainly.com/question/155227

#SPJ4

Answer:

(2,0)

Step-by-step explanation:

I think that the answer

The four quadrants in a plane are Q1, Q2, Q3, Q4.

Quadrant one (QI), the top right quadrant of the coordinate plane, only contains positive coordinates. Quadrant two refers to the top left-fourth of the coordinate plane (QII). Quadrant three is on the bottom left corner (QIII). Quadrant Four is the bottom right fourth (QIV). In quadrant I, both the x- and y-coordinates are positive. In quadrant II, the x-coordinate is negative while the y-coordinate is positive. In quadrant III, the x- and y-coordinates are positive. In quadrant IV, the x-coordinate is positive while the y-coordinate is negative. In a coordinate system, a quadrant is the area formed by the x and y axes. The quadrants are created when the x- and y-axes connect at a 90-degree angle. These areas include coordinates, or the positive and negative values of the x- and y-axes.

Learn more about quadrants at

https://brainly.com/question/13611766

#SPJ4

Answer:

To solve this problem, we need to calculate the change in temperature between noon and 3:30 p.m. and then divide that by the number of hours between noon and 3:30 p.m.

Let's say the temperature at noon was 70 degrees F and the temperature at 3:30 p.m. was 75 degrees F.

The change in temperature between noon and 3:30 p.m. is 75 - 70 = 5 degrees F.

The number of hours between noon and 3:30 p.m. is 3.5 hours.

Therefore, the rate of change in temperature between noon and 3:30 p.m. is 5 degrees F / 3.5 hours = 1.43 degrees F per hour.

Due to the absence of an x in the issue, the y-intercept is -4. At the conclusion, it stands on its own and directs you to begin at (0,-4). The slope is -5/1 because the slope of the equation is toward the value of x in the equation.

y = 5x - 4 has a 5 slope. The line's equation, y = 5x - 4, is expressed in the form y = mx + b, as you can see. It is therefore in slope-intercept form. When a line's equation is written in slope-intercept form, we may determine that the slope of the line equals m, the x-coefficient.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

To learn more about y-intercept here:

https://brainly.com/question/14180189

#SPJ4

Therefore , the solution of the given problem of volume comes out to be

the volume of cylinder is 3801.6 cubic feet.

The amount of space a three-dimensional item occupies is measured by its volume, which is measured in cubic units. Two examples of cubic units are cm3 and in3. Mass, in contrast hand, is a metric of how much matter is present in an object. It is common to use the weight of an object to calculate mass in quantities like pounds or kilograms.

Here,

Given :

Radius = 8.7 feet

and height = 16 feet

To find the volume of cylinder :

=> πr²h

=> 22/7 * 8.7 * 8.7 * 16

=> 237.6 * 16

=> 3801.6 cubic feet.

Therefore , the solution of the given problem of volume comes out to be

the volume of cylinder is 3801.6 cubic feet.

To know more about volume , visit:

https://brainly.com/question/13338592

#SPJ1

The complete question is:  "Find the volume of cylinder which hase Radius ; 8.7 feet; height: 16 feet ."

Answer:

3 kph

Step-by-step explanation:

speed = x kph

(x-1)*t=8; 8/(x-1)= t units are km

(x+1)t=16; 16/(x+1)=t

Set them equal to each other

8/(x-1)=16/(x+1)

cross multiply

8x+8=16x-16

-8x=-24

x=3 kph

An attitude,a median,orthocentoner are the point of concurrency should the fountain be located

All three of the triangle's altitudes cut or cross at the orthocenter, which is where the triangle is positioned. The line drawn from the triangle's vertex here is the altitude; it is perpendicular to the other side. There are three altitudes in the triangle since it has three vertices and three sides.

Solution: The foundation ortho centre is where the foundation should be positioned, while an attitude is the shortest path from a vortex to the other side.

an attitude is the shortest path.

an attitude

a median

orthocentoner

An attitude,a median,orthocentoner are the point of concurrency should the fountain be located

To learn more about median refer to:

https://brainly.com/question/26177250

#SPJ1

Answer:

an altitude,​, medians.​, orthocenter.

$540 is the sale price of the bicycle.

Multiplication is a method of finding the product of two or more numbers

Given that Kate wants to buy a new bicycle from a sporting goods store.

The bicycle she wants normally sells for $720

The store has a sale where all bicycles cost 3/4 of the regular price.

We have to find the sale price of the bicycle.

To find this we have to multiply 3/4 with 720

3/4×720

540

Hence, $540 is the sale price of the bicycle.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ1

The point that is a solution to the system of linear equations is O (1,0).

Putting the value O (1,0) in both equations we get that this point satisfies both equations.

putting x = 1 and y = 0

y = -x+ 1

y = -1+1 = 0

also, 3x -y = 3

3 ×1 -0 = 3

To learn more about Linear Equation from the given link

https://brainly.com/question/11897796

#SPJ1

An angle is 270 degrees when it is a reflex angle .

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

An angle that is greater than 180 degrees and less than 360 degrees is referred to as a reflex angle. Reflex angles include, for instance, 270 degrees. There are several sorts of angles in geometry, including acute, obtuse, and right angles—angles that are less than 180 degrees.

A reflex angle equals the summation of 180 degrees and any of the primary angles (acute, right and obtuse angles). Therefore,

Learn more about Reflex angle:

https://brainly.com/question/30195819

#SPJ4

As per the given degree, the number of images are formed when two plane mirrors are placed at 60 is 5

The term degree in math defined as the unit of measure is used to measure the magnitude of an angle.

Here we know that 1 degree equals 1/360 of a complete revolution in magnitude.

Here we need to find the number of images are formed when two plane mirrors are placed at 60.

Here we have to use the following formula that can be written as,

=> n = (360 / θ) - 1

Here we the the value of θ is 60.

Then we have to apply the value on the formula, then we get,

=> n = (360 /60) - 1

=> n = 6 - 1

=> n = 5

To know more about degree here,

https://brainly.com/question/29281406

#SPJ4

Answer:

D.

Step-by-step explanation: