For a continuous probability distribution, 0≤x≤10. What is P(x=7) ? 0.22 0 1 0.54

The area between the curves y = 4x - x² and y = 3 can be calculated by evaluating the definite integral ∫[a,b] (4x - x² - 3) dx. The area between the curves y = 2x² - 25 and y = x² can be found by computing the definite integral ∫[a,b] (2x² - 25 - x²) dx. The area between the curves y = 7x - 2x² and y = 3x can be determined by evaluating the definite integral ∫[a,b] |(7x - 2x²) - (3x)| dx.

The area between the curves y = 4x - x² and y = 3 can be found by integrating the difference of the two functions over the appropriate interval.

The area between the curves y = 2x² - 25 and y = x² can be determined by finding the definite integral of the positive difference between the two functions.

To find the area between the curves y = 7x - 2x² and y = 3x, we can integrate the absolute value of the difference between the two functions over the appropriate interval.

To know more about integral,

https://brainly.com/question/32263930

#SPJ11

Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Just write down exactly what it says!

The perimeter of a rectangle is 68 inches

68

The perimeter equals twice the length of L inches

68 = (2 × L)

Plus twice the width of 9 inches.

68 = (2 × L) + (2 × 9)

Now just clean up the equation.

68 = 2L + (2 × 9)

68 = 2L + 2(9)

The answer is 68 = 2L + 2(9).

The probability that none are mechanical engineering majors is 0.51.

The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.

Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.

The complete question is:-

In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?

To learn more about probability, refer:-

https://brainly.com/question/11234923

#SPJ4

A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.

The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.

The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.

In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..

To Know more about independent variables Visit:

https://brainly.com/question/31575485

#SPJ11

The probability that the sample proportion of first-time customers is less than 0.31 is approximately 0.7777 or 77.77%.

The probability that the sample proportion of first-time customers is less than 0.31 can be calculated using the normal distribution. The z-score is calculated based on the given proportion and the standard error, and then the probability is determined using the z-table.

To calculate the probability, we need to calculate the standard error, which is the square root of (p * (1 - p) / n), where p is the population proportion (0.29) and n is the sample size (179). Thus, the standard error is approximately 0.026.

Next, we calculate the z-score using the formula: z = (sample proportion - population proportion) / standard error. In this case, the sample proportion is 0.31, and the population proportion is 0.29. Substituting the values, we have z = (0.31 - 0.29) / 0.026, which is approximately 0.769.

Using the z-table or a statistical software, we can find the probability associated with a z-score of 0.769, which is approximately 0.7777 or 77.77%.

Therefore, the probability that the sample proportion of first-time customers is less than 0.31 is approximately 0.7777 or 77.77%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Based on the lengths of the sides of the triangle, we can infer that this is NOT a right triangle.

A right angled triangle would obey the Pythagoras Rule which is that the square of the hypotenuse (longest side) will be the sum of the squares of the other sides of the triangle.

This means that for this to be a right triangle, it needs to obey the function:

45 ² = 35 ² + 30 ²

Solving gives:

2,025 ≠ 2, 125

This shows that the triangle is not a right triangle.

Find out more on right triangles at https://brainly.com/question/2217700

#SPJ1

It is not a right-angle triangle since 2125 ≠ 2025 meant that it did not conform to Pythagoras' theorem's specifications.

This kind of query creates a right-angled triangle that Pythagoras' theorem can resolve.

In a right-angled triangle, the square of the greatest side is equal to the sum of the squares of the smaller two sides.

Given, There are three sides to a triangle, each measuring 30 kilometers, 35 kilometers, and 45 kilometers.

∴ 30² + 35² = 45².

900 + 1225 = 2025.

2125 ≠ 2025.

Due to the fact that it didn't meet the requirements of Pythagoras' theorem, it is not a right-angle triangle.

Here is further information on Pythagoras' Theorem :

brainly.com/question/343682

#SPJ1

Answer:

ykLhxlyzykxlh jl jcul

Step-by-step explanation:

Answer:

v is 198 m/s

Step-by-step explanation:

\(v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} \)

Therefore , the solution of the given problem of equation comes out to be  \(x^{2}\)-2x-37/(x-8) (x+5).

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Here,

Given :(\(x^{2}\)-2x-37)/(\(x^{2}\)-3x-40)

\(x^{2}\)-3x-40

Factor\(x^{2}\)-2x-37

\(x^{2}\)-2x-37/(x-8) (x+5)

Thus ,

the factors comes out to be \(x^{2}\)-2x-37/(x-8) (x+5)

Therefore , the solution of the given problem of equation comes out to be  \(x^{2}\)-2x-37/(x-8) (x+5).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

A simplification of the polynomial is -c³ + 2c² - 9c + 1.

The degree of the polynomial is equal to 3.

The leading coefficient of the polynomial is equal to -1.

The constant of the polynomial is equal to 1.

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would subtract the two (2) given polynomials as follows;

Expression = (c³ + 2c² - 5c) - (2c³ + 4c - 1)

Expression = c³ + 2c² - 5c - 2c³ - 4c + 1

By rearranging the given polynomials by combining like terms, we have;

Expression = -c³ + 2c² - 9c + 1

Where:

The degree = 3.

The leading coefficient = -1.

The constant = 1.

Read more on polynomial here: brainly.com/question/3724034

#SPJ1

Answer:

$45.00

Step-by-step explanation:

each kilogram of sugar costs $4.50

we want to find the cost of 10 kg

multiply the cost of 1 kg ($4.50) by 10 kg:

4.50*10=$45.00

The cost of 10 kg is $45.00.

Answer:

10 i believe

Step-by-step explanation:

Answer:

C = 5pi inches or approximately 15.7 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is given by d=5

C = pi *5

If we use pi is approximated by 3.14

C = 3.14 *5 =15.7

C = 5pi inches or approximately 15.7 inches

Answer:

the correct answer is 27%

Answer:

27%

Step-by-step explanation:

to find percent use

8 x

----- × -----

30 100

then cross multiply 8 & 100 to get 800

divide 800 by 30 to get 26.6 repeating

then im assuming you round.

Answer:

region 2 for the first one ad I think 3 for the second one!

Step-by-step explanation

The percent of students in grade 8 those who like to join dance club is equal to 25%.

Total number of students in grade 8 = 20

Total number of students of grade 8  join in dance club = 5

Percent of students of grade 8 prefer to join dance club

= ( total number of students prefer dance club ) / ( Total number of students in grade 8 ) × 100

Substitute the value in the formula we get,

⇒ Percent of students of grade 8 prefer to join dance club

= ( 5 ) / ( 20 ) × 100

⇒ Percent of students of grade 8 prefer to join dance club  = 0.25 × 100

⇒ Percent of students of grade 8 prefer to join dance club  = 25%

Therefore, percent of grade 8 students who preferred to join dance club is equal to 25%.  

learn more about percent here

brainly.com/question/29391170

#SPJ4

The above question is incomplete, the complete question is:

What percent of students in grade 8 prefer to join a dance club?

                      Dance club      Hiking club     Total

Grade 7               15                       15                 30

Grade 8               5                        15                  20

Total                    20                     30                    50

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 s in order to win.

Step-by-step explanation:

Hopes this helps

Answer:

less than or equal to 9.74.

The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

To know more about Power consumption visit-

brainly.com/question/32435602

#SPJ11

Answer:

y=x+5;1

Step-by-step explanation:

Hope this helps! =D

Answer: inches maybe

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis which in this case is -6

Hope this helps

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

Answer:

p=(3×2)+(2.5×2)3.5

p=6+5(3.5)

p=11(3.5)

p=38.5 feet

Step-by-step explanation:

The value of x and y of the right triangle is x = y = 15.6

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ABC

Now , the measure of the hypotenuse of the triangle AC = 22

And , the triangle is a 45 - 45 - 90 triangle

So , the sides are in the ratio n : n : n/√2

And , if the measure of the two congruent sides of such a triangle is x each, then the three sides will be x, x and √2x

From the trigonometric relations ,

sin 45° = y/22

Multiply by 22 on both sides of the equation , we get

y = ( sin 45° ) 22

y = 22/√2

On simplifying the equation , we get

y = 15.6

And , the value of x = y = 15.6

Hence , the right triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ1

Answer:

y=3    x=1

Step-by-step explanation:

Answer:

above one is correct. I think so

Answer:

Step-by-step explanation:

To find KLR, we subtract MLR from KLM. We get left with 2x+14=KLR. With this, we can see that 36 degrees = 2x+14.

Now you just solve.

Answer: d) $37,500

Step-by-step explanation:

The highest fee for the loan of 1m dollars can be d) 37500 dollars.

A percentage is a value per hundredth. Percentages can also be converted into fractions by dividing it by a hundred and simplifying decimals by dividing the percentage value by a hundred.

We know 1 million dollars is 1,000,000 dollars which is the loan amount and the highest rate of fee is 3.75%.

∴ The highest fee can be 3.75% of 1,000,000 dollars which is,

= (3.75/100)×1,000,000 dollars.

= 0.0375×1000000 dollars.

= 37500 dollars.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ6

Answer:

160 degrees

Step-by-step explanation:

We can split up the angle into two sections:

One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).

So we just add them two together

70+90=160

Answer

x=0,5

Step-by-step explanation:

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1