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The mean of the walleye 'W' for the given number of walleye and its probability to represent that 30% chances are of walleye is equal to 1.4.

As given in the question,

Let 'W' is the random variable represents the number of walleye.

'P(W)' represents its probability

The values are given as follow:

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Mean of the walleye 'W' is given by :

= W₁P(W₁) + W₂P(W₂) + W₃P(W₃)

= ( 0 ×  0.09 )  + ( 1 × 0.42 ) + ( 2 × 0.49 )

= 0 + 0.42 + 0.98

= 1.4

Therefore, the mean of the walleye 'W' for the given number of walleye and its probability is given by 1.4.

The above question is incomplete , the complete question is :

Eva loves to go fishing. Each time she catches a fish, there is a 70% chance that it is a northern pike and a 30% chance it is a walleye. Let W be the random variable that represents the number of walleye Eva gets

if she catches 2 fish.

W      :        0                        1                       2

P(W)  :        0.09                0.42                  0.49

Calculate the mean of W.

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Answer:

The height of the parallelogram is 6 cm.

Step-by-step explanation:

Given,

base=4.5 cm.

area=27 CM sq

Now,

height = area/base

.: height =27/4.5 cm

=6 cm

Answer: common difference = -5

Step-by-step explanation:

This is an arithmetic progression. The common difference will be gotten by subtracting the 1st term from the 2nd term. This will be:

1st term = 12

2nd term = 7

3rd term = 2

Common difference = 7 - 12 or 2 - 7 = -5

It isn't an geometric progression as the ratio isn't thesame

= 2nd term / 1st term

= 7/12

= 3rd term / 2nd term

= 2/7

Therefore, it's an arithmetic progression with difference of -5

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.

Here,

Given : side = 12cm

Area of an equilateral triangle

=> √3/4 * side²

Side of triangle =12 cm

Area of an equilateral triangle

= >  √3/4 * 12²

=>√3/4 * 12*12

=> 62.28 cm²

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

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The solutions of the given quadratic equation are 4 and -3/2. Solved using the factoring method to solve a quadratic equation.

what is a quadratic equation?

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation's general form is ax^2 + b*x + c = 0.

where a, b, and c are constant terms and x is the unknown variable.

Here I am using the factoring method to solve a quadratic equation.

Given quadratic equation is

[tex]2x^2 - 5x -12 = 0.[/tex]

By comparing the General form of the quadratic equation we will get

a = 2, b = -5 and c = -12.

2x^2 - (8-3)x - 12 = 0.

2x^2 - 8x + 3x -12 = 0.

2x(x-4) + 3(x-4) = 0

(x - 4) (2x + 3) = 0.

x - 4 = 0 or 2x + 3  = 0

x = 4 or x = -3/2

Given Question is incomplete complete question here:

What are the solutions of the quadratic equation 2x^2-5x-12 =  0?

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Answer:

C.

Step-by-step explanation:

To find the equation of the line that goes through the points (5, 3) and (-1, 2), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

To find the slope of the line, we can use the following formula:

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

Plugging in the coordinates of the two points, we get:

m = (2 - 3)/(-1 - 5) = -1/6

Substituting this value of m and the coordinates of one of the points into the point-slope form, we get:

y - 3 = -1/6(x - 5)

This simplifies to:

6x + y - 13 = 0

Therefore, the equation of the line is:

6x + y - 13 = 0

To identify the solutions in solving linear inequalities in two variables, you can first graph the equation on a coordinate plane. Then, you can use the boundary line to identify which regions of the plane satisfy the inequality.

Any points in the shaded regions will be solutions to the inequality. Additionally, you can use the boundary line to identify the points that are not solutions by finding the points that lie on the boundary line.

Example:

x + 2y ≥ 4

The graph of this inequality is a line with a slope of -2/1 and a y-intercept of 4/2. The line will be shaded on the side of the line containing the greater values, which in this case is the side containing the origin.

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60 students out of 210 in a school went both roller skating and water park.

What is algebraic equation ?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Have given ,

Total students = 210

Let x = The number of students who went only to the roller skating

and y = The number of students who went to the water park and roller skating

x + 4x + y = 210  ⇒ 5x + y = 210 ......(i)

x + y + 2y = 210 ⇒ x + 3y = 210 ⇒ x = 210 - 3y

Put the value of x in equation no. (i),

5(210 - 3y) + y = 210 ⇒ 1050 - 14y = 210 ⇒ 14y = 1050 - 210

14y = 840 ⇒ y = 60

Hence , 60 students out of 210 in a school went both roller skating and water park.

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Answer:

Hello There!!

Step-by-step explanation:

The answer is: 33/100.You time the numerator by the numerator and the denominator by the denominator and simplify it which is 33/100.

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

I hope it helps you have a great weekend

Answer:6842

Step-by-step explanation:

13684/2

Answer:

b 41cm, 40cm, 9cm form a right angle

Answer:

D m =  [tex]-\frac{3}{8}[/tex]

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> [tex]\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}[/tex]

=> [tex]-\frac{2m + 1}{8m + 3}[/tex]

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> [tex]-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}[/tex] = [tex]-\frac{2m + 1}{-3 + 3}[/tex] = [tex]-\frac{2m + 1}{0}[/tex]

in this case, the values of m from option D make the denominator of the fraction equals 0.

Answer:

0=18

Step-by-step explanation:

not simplified.

Answer:

There is no answer.

Step-by-step explanation:

-2(11 - 12x) = -4(1-6x)

First you need to simplify the equation, using distributive property.

Distribute -2 to the numbers within the parentheses.

-2*11 = -22

-2*-12x =24x

= 24x - 22

Then distribute -4 among 1 and -6.

-4*1 =-4

-4*-6x = +24x

= 24x - 4

And because

24x - 22 does NOT equal 24x - 4

There is no answer because they are not equivalent, making the equation itself false/untrue.

The 3 linear equations are

1. y = mx + b

2. ax + by = c

3. x/a + y/b = 1

1. y = mx + b is a linear equation in two variables, x and y. The equation is in the slope-intercept form, where m is the slope of the line and b is the y-intercept.

2. ax + by = c is a linear equation in two variables, x and y. The equation is in the standard form, where a and b are constants and c is the result of the equation.

3. x/a + y/b = 1 is a linear equation in two variables, x and y. The equation is in the general form, where a and b are constants and 1 is the result of the equation.

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The Osborne 1 was the first laptop ever released, and it weighed 11 kg in 1981. Since then, the average rate of weight decrease has been 4.7% per year. This means that in 2019, a laptop would have weighed around 2.3 kg.

1981: 11 kg

1982: 10.5 kg (11 kg - 0.55 kg = 10.5 kg)

1983: 10.02 kg (10.5 kg - 0.48 kg = 10.02 kg)

1984: 9.55 kg (10.02 kg - 0.47 kg = 9.55 kg)

2019: 2.3 kg (3.44 kg - 1.14 kg = 2.3 kg)

The Osborne 1 was the first laptop ever released in 1981, and it weighed 11 kg. Since then, the average rate of weight decrease has been 4.7% per year. This means that the mass of a laptop decreases by 0.47 kg every year on average. So, in 1982 it would have weighed 10.5 kg, in 1983 it would have weighed 10.02 kg, and so on. By 2019, the weight of a laptop would have decreased to 2.3 kg as a result of this 4.7% average rate of weight decrease.

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Answer:

38

Step-by-step explanation:

One should pay 2.1875 dollars.

Addition, subtraction, multiplication, and division are the most fundamental operations in arithmetic. However, arithmetic also includes more complex operations like manipulating percentages, square roots, exponentiation, logarithmic functions, and even trigonometric functions, which are analogous to logarithms. It is necessary to evaluate arithmetic expressions in accordance with the intended order of operations.

Given one yard of ribbon is 3.5 dollars

1y = 3.5

where y = yards

dollar for 5/8 yards is

1y x 5/8 = 3.5 x 5/8

5/8y = 2.1875

Hence one should pay 2.1875 dollars for 5/8 yards.

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1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence. As an illustration, the numbers 1, 6, 11, 16,... are an arithmetic sequence because they follow a pattern in which the preceding term is multiplied by 5 to produce each subsequent number. There are two formulae for arithmetic sequences.

The equation to determine the nth term in an arithmetic series

The formula for calculating the sum of an arithmetic sequence's first n terms

There are two definitions for an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" or "each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term."

Option 1, 4 and 6 are in Arithmatic Sequence as

In 1:

1, 15, 29, 43, 57 , the common difference is constant which is 14 and formula 1 + 14(n-1)

again in 4 :

37, 34, 31, 29, 26 the common difference is constant which is -3 and formula is 37 - 3(n-1)

and in 6

-4, 5, 14, 23, 32, the common difference is constant which is 9 and formula is -4 + 9(n-1).

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The population of Cuba in 10 years will be 1.9243 million.

A process called exponential growth sees a rise in quantity over time. It happens when a quantity changes at an instantaneous rate that is proportionate to the quantity itself with respect to time.

Data patterns that exhibit exponential growth exhibit quicker rate of expansion over time. Compounding produces exponential returns in the financial world. Savings accounts with a compound interest rate have the potential to expand exponentially.

The population growth will be modeled using exponential growth:

f(x) = a(b[tex])^t[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04[tex])^t[/tex]

The population after 10 years will be:

f(x) = 1.3(1.04[tex])^{10[/tex]

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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The population of Cuba in 10 years will be 1.9243 million, if the population is expected to grow at a rate of 4% each year.

Quantities increase over time through a process known as exponential growth. It occurs when a quantity shifts at a pace that is proportional to the quantity's own rate of change with regard to time.

Data patterns that show exponential growth expand more quickly over time. In the world of finance, compounding generates exponential profits. Compound interest savings accounts have the potential to grow tremendously.

The population growth will be modeled using exponential growth:

f(x) = a(b)[tex]^{t}[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04

The population after 10 years will be:

f(x) = 1.3(1.04

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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For mileages of 40 or less, Company A will charge less than Company B. For mileages above 40, Company B will charge less than Company A.

To compare the prices of the two companies, we need to determine the total cost for each company at different mileage.

For Company A, the total cost is the initial fee of $50. This is a fixed price, regardless of the mileage driven.

For Company B, the total cost is the initial fee of $30 plus the additional cost per mile driven. To calculate this, we can use the formula:

Total cost = initial fee + (mileage * additional cost per mile)

For Company B, this would be:

Total cost = $30 + (mileage * $0.50)

To find out when Company A charges less than Company B, we need to compare the total costs of the two companies at different mileage. We can set up the following inequality:

$50 <= $30 + (mileage * $0.50)

To solve for mileage, we need to isolate it on one side of the inequality. To do this, we can subtract $30 from both sides:

$20 <= (mileage * $0.50)

Then, we can divide both sides by $0.50:

40 <= mileage

So for mileages of 40 or less, Company A will charge less than Company B. For mileages above 40, Company B will charge less than Company A.

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Answer:

a. 4^12

b. 6^7

c. 8^5

d. 7^2

Step-by-step explanation:

hope this helps :)

Answer:

1. A

2. 9

Step-by-step explanation:

Answer:

2+2its4

hope it helps......

Answer:

8

Step-by-step explanation:

Answer:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

Step-by-step explanation:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

f(–10) = (–10)^2 – 5(–10) + 12 = 100 – (–50) + 12 = 162

The statement "The graph of the function is a parabola" is true. Because the equation of the function is of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0, the graph of the function is a parabola.

The statement "The graph of the function opens down." is true. The coefficient of x^2 is a positive value, which means the parabola opens down.

So, the true statements are

The graph of the function is a parabola.

The graph of the function opens down.

The graph does not contain the point (20, –8)

Answer:

B. Susan's location is cheaper for 10 people.

D. The charge for each additional person is greater for Charlie's location.

The area of the surface obtained by rotating the circle [tex]x^2 + y^2 = r^2[/tex] about the line y = r is π²r² square units.

To find the area of the surface obtained by rotating the circle

[tex]x^2 + y^2 = r^2[/tex] about the line y = r, we can use the method of cylindrical shells.

The circle [tex]x^2 + y^2 = r^2[/tex] is centered at the origin (0, 0) with a radius r. The line y = r is the line y-axis but shifted up by r units.

When we rotate the circle about the line y = r, it forms a 3D shape called a torus or a donut shape.

Consider a small strip on the circle at a distance y from the line y = r.

This small strip is at a distance r - y from the y-axis.

The length of this strip is the circumference of the circle at y, which is 2πy (since the circumference of a circle is 2π times its radius).

The width of this strip is the change in x, which we can denote as dx.

The area of this small strip is then given by the product of its length and width, which is 2πy dx.

Now, to find the total surface area, we integrate this area over the range of y values from -r to r (since the circle is symmetric about the y-axis):

Total Surface Area = ∫[from -r to r] 2πy dx

Now, we need to express y in terms of x using the equation of the circle [tex]x^2 + y^2 = r^2:\\y^2 = r^2 - x^2[/tex]

y = ±√(r² - x²)

Since we are considering the upper half of the circle, we take the positive square root:

y = √(r² - x²)

Now, we can rewrite the integral with respect to x:

Total Surface Area = ∫[from -r to r] 2π√(r² - x²) dx

To solve this integral, we can make a trigonometric substitution:

Let x = r sin(θ), then dx = r cos(θ) dθ.

When x = -r, θ = -π/2, and when x = r, θ = π/2.

Now the integral becomes:

Total Surface Area = ∫[from -π/2 to π/2] 2π√(r² - (r sin(θ))²) (r cos(θ)) dθ

Total Surface Area = 2πr² ∫[from -π/2 to π/2] √(1 - sin²(θ)) cos(θ) dθ

Now, we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

√(1 - sin²(θ)) = cos(θ)

Total Surface Area = 2πr² ∫[from -π/2 to π/2] cos²(θ) dθ

Now, use the trigonometric identity: cos²(θ) = (1 + cos(2θ))/2

Total Surface Area = 2πr² ∫[from -π/2 to π/2] (1 + cos(2θ))/2 dθ

Total Surface Area = 2πr² [θ/2 + (sin(2θ))/4] [from -π/2 to π/2]

Total Surface Area = 2πr² [(π/2 + sin(π) - (-π/2 + sin(-π)))/4]

Since sin(π) = 0 and sin(-π) = 0:

Total Surface Area = 2πr² [(π/2 - (-π/2))/4]

Total Surface Area = 2πr² (π/2)

Total Surface Area = π²r²

So, the area of the surface obtained by rotating the circle [tex]x^2 + y^2 = r^2[/tex] about the line y = r is π²r² square units.

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Answer:

Step-by-step explanation:

These are the tests for similar triangles:

AA - if 2 pairs of corresponding angles are equal.  

SSS - if corresponding sides have the same ratio.

SAS - if 2 pairs of corresponding sides have the same ratio and the included angles are equal.

This diagram does not indicate any of these relationships exist.

Therefore the triangles are not similar.