Find the value of the expression 3.28x –x2 for x =2.28

The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when  open ground in a year has mean 6 and standard deviation 2.4.

It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

Given,

Mean = 6

Standard deviation = 2.4

The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.

z = x - mean/ standard deviation/√n

z = 5 - 6/2.4/√50

z = - 2.95

Using table A, calculate the corresponding probability;

= P(x <5)

= P( z < -2.95)

= 0.0016

The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.

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The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to two angles and the side between them of another triangle, then the two triangles are congruent.

The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to the two angles and the side between them of another triangle, then the two triangles are congruent. This theorem is an important tool in geometry that can be used to determine if two triangles are congruent and to find missing side lengths or angles. This theorem is based on the idea that if two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles must be congruent. This is because the third side of the triangle, and the remaining angles must also be equal in order for the triangles to be congruent. Therefore, the AAS Triangle Congruence Theorem can be used to determine if two triangles are congruent, and to find missing side lengths or angles.

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Answer:no

Step-by-step explanation:z should be more than 12 like 13, 16.67,...

Answer:

No

Step-by-step explanation:

Z=5

5 >12 5 is not greater than 12.

thats entire side is 12

Step-by-step explanation:

you have to multiply i think im not good at it sorry

The solution is Option B.

The equation of line is given by y = ( -3/4 )x + 4 , where the rate of change is the slope m = ( -3/4 ) and the initial value is 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

A line is graphed that passes through the y-intercept at 4 and through the point P ( 4 , 1 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = mx + 4   be equation (1)

when y = 1 , x = 4

1 = 4m + 4

Subtracting 4 on both sides of the equation , we get

4m = -3

Divide by 4 on both sides of the equation , we get

m = -3/4

So , the slope of the line is m = -3/4

Therefore , the equation of line is y = ( -3/4 )x + 4

Now , the initial value of the equation is when x = 0

So ,

y = ( -3/4 ) ( 0 ) + 4

y = 4

So , the initial value of f ( 0 ) = y = 4

Hence , the equation of line is y = ( -3/4 )x + 4

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The relationship between the cost of renting a cycle for different hours shown be graph A.

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Given that: John paid $ 50 for renting a cycle for 5 hours.

Rent for one hour =50/5

                              = $ 10 per hour

Thus,  the equation would be : y = 10x.

Here x being the number of hours and y being the total cost.

No. of hours                Rent

0                                     0

1                                      10

2                                     20

3                                     30

4                                     40

5                                     50                        

6                                      60

So, points are plotted on (1,10),(2,20), and (3,30).

The above points are shown by Graph A

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The house sale price dataset for King County, which includes Seattle, is a dataset that contains information about the sale prices of homes in the county between May 2014 and May 2015.

This dataset is commonly used for evaluating simple regression models, which are statistical models that seek to establish a relationship between a dependent variable (in this case, the sale price of a home) and one or more independent variables (such as the size of the home, number of bedrooms, or location).

The dataset contains a number of variables, including the sale price of the home, the date of the sale, the size of the home (in square feet), the number of bedrooms and bathrooms, the location of the home (in terms of longitude and latitude), and a number of other variables. By analyzing this dataset, researchers can gain insights into the factors that influence the sale price of homes in King County, and use this information to develop predictive models that can help buyers, sellers, and real estate agents make more informed decisions about buying and selling homes in the area.

Overall, the house sale price dataset for King County is a valuable resource for anyone interested in studying the housing market in the Seattle area, and is widely used by researchers, analysts, and industry professionals in the field of real estate.

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Answer: 1/3

Step-by-step explanation: so there is six cards total and only two of them are even so 2/6 and that can go to 1/3

1/3

There are 2 even numbers, and the total is 6. So 2/6 in the simplest form is 1/3.

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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x² + 6x + 5 = 0

To find the solution, we can use the quadratic formula.

The solutions are (-1, 0) and (-5, 0)

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Answer:

D: an endpoint at one end and an arrow on the other or answer hope this helped,

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

Answer:

H = 11m

Step-by-step explanation:

As we know, volume = length * breadth/width * height

Given,

length = 6m

Breadth/width = 3 1/2 or 3.5

Height = ?

So, l * b * h = v

=> 6m * 3.5m * h = 231m

=> 21m * h = 231m

=> h = 231m /21m = 11m

Therefore, height = 11m / 11metres

Hope this helps

Answer:

y - 2 = -1/3 (x + 3)

Step-by-step explanation

Sorry!

 Point-slope form )

Slope = (-1 -2)/(6 - (-3)

Slope = -3/9

Slope = -1/3

 Using the point-slope formula and point (-3, 2)

y - 2 = -1/3(x - (-3)

y - 2 = -1/3 (x + 3)  This is = to y = -1/3(x + 3) +2

The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

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Answer:

The interest is 1600

Step-by-step explanation:

Answer:

Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5

Step-by-step explanation:

Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)

We need to substitute the given values into the point-slope form equation.

Parallel:

y + 4 = -5(x + 6)

y + 4 = -5x - 30

y = -5x - 34

Perpendicular:

y + 4 = 1/5(x + 6)

y + 4 = 1/5x + 6/5

y = 1/5x - 14/5

Answer:

270,000,000

Step-by-step explanation:

2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation

To put it in standard notation

Multiply 2.7 by 10⁸, which is 100,000,000

Answer:

-1 3/6 or -1 1/2

Step-by-step explanation:

-4-5=-9

2--4=6

-9/6= -1 3/6

Answer:

58\(\sqrt{65}\)

Step-by-step explanation:

you can find the height of this trapezoid by using the pythagorean theorem where the hypotenuse is 18 and one leg is 8 (33-25)

let x = height

\(8^{2}\) + \(x^{2}\) = \(18^{2}\)

\(x^{2}\) = 324 - 64

\(x^{2}\) = 260     therefore, x = \(\sqrt{260}\)

\(\sqrt{260}\) = \(\sqrt{4}\)· \(\sqrt{65}\)  or  2\(\sqrt{65}\)

A = \(\frac{1}{2}\)h x (sum of the bases)        

bases are 25 and 33

A = (2\(\sqrt{65}\)) ÷ 2)58

Answer:

Step-by-step explanation:

Blank 1) Y

Blank 2) 4x+5(3x+9)=7

Blank 3) 4x + 15x + 45 = 7

Blank 4) x= -2

Blank 5) y = 3

For the given cone, the length of a segment drawn from the apex to the edge of the circular base is 13 units.

What is a cone?

A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex. The height of the cone is determined by measuring the distance between its vertex and base. The radius of the circular base has been measured. The slant height is the distance along the cone's circumference from any point on the peak to the base.

Given,

 The base diameter of the cone = 10 units

The volume of the cone = 100π cubic units.

We are asked to find the length of a segment drawn from the apex to the edge of the circular base of the cone.

Now the volume of a cone is given by,

V = πr² *  h/3

where,

 r = radius

h = height

for the given cone,

r = 10/2 = 5 units

So,

100π = π * 5*5 * h/3

4 = h/3

h = 12 units

Now we are asked to find the slant height(l) of the cone.

l² = h² + r² = 12² + 5² = 169

l = 13 units.

Therefore, for the given cone, the length of a segment drawn from the apex to the edge of the circular base is 13 units.

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Answer:

77 miles

Step-by-step explanation:

Make a diagram like in the attached image.

Solve using the Pythagorean theorem:

\(44^2 + 63^2 = d^2\)

\(1936 + 3969 = d^2\)

\(d^2 = 5905\)

\(\sqrt{d^2} = \sqrt{5905}\)

\(d = \sqrt{5905}\)

d ≈ 77 miles

Answer:

-.26

Step-by-step explanation:

If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.

Answer:

-.26 is closest to 0 on the number line.

Step-by-step explanation:

To find distance we use absolute value to find the smallest absolute value.

The absolute value of each number is as follows

-0.26 (0.26)

0.3 (0.3)

0.275 (0.275)

-0.51 (0.51)

In order from least to greatest we have

.26, .275, .3, .51

Therefore -.26 is closest to 0 on the number line.

Good luck!!

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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