Following binomial distribution with n = 10 and p = 0.7, is the
random variable Y. Calculate the following questions:
i) P (Y = 5). (keep 4 digits after decimal)
ii) The mean μ=E[Y]
iii) The standard

Answer:

25.25

Step-by-step explanation:

hope it helps and have a nice day ! :)

brainiest is appreciated

Answer:

she can buy 4 pizzas and five drinks with 2.50 to spare or 4 pizzas and 6 drinks

Step-by-step explanation:

Answer:

how can I help?

Step-by-step explanation:

with what?

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

The specified value of n for trapezoidal rule, the midpoint rule, and simpson's rule is 10.36 , 10.72 and 10.52.

Trapezoidal Rule: In Calculus, “Trapezoidal Rule” is one of the important integration rules. The name trapezoidal is because when the area under the curve is evaluated, then the total area is divided into small trapezoids instead of rectangles. This rule is used for approximating the definite integrals where it uses the linear approximations of the functions.

The trapezoidal rule is mostly used in the numerical analysis process. To evaluate the definite integrals, we can also use Riemann Sums, where we use small rectangles to evaluate the area under the curve.

Midpoint rule : In mathematics, the midpoint rule, also known as the midpoint Riemann sum or midpoint method, is a method of estimating the integral of a function or the area under a curve by dividing the area into rectangles of equal width. The midpoint rule formula is. The midpoint method formula works by summing the areas of each of the rectangles to produce an estimate for the area under a curve.

Simpson's Rule: Simpson's rule is used to find the value of a definite integral (that is of the form b∫ₐ f(x) dx) by approximating the area under the graph of the function f(x). While using the Riemann sum, we calculate the area under a curve (a definite integral) by dividing the area under the curve into rectangles whereas while using Simpson's rule, we evaluate the area under a curve is by dividing the total area into parabolas. Simpson's rule is also known as Simpson's 1/3 rule (which is pronounced as Simpson's one-third rule).

Now,

a=1,b=4,Δx =(b-a)/n =3/6 =1/2

f(x)=4√(ln(x))

trapezoidal rule:

∫4√(ln(x)) dx =(Δx /2)[f(1)+2*[f(1.5)+f(2)+f(2.5)+f(3)+f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /2)[4√(ln(1))  +2*[4√(ln(1.5)) +4√(ln(2)) +4√(ln(2.5)) +4√(ln(3)) +4√(ln(3.5))] +4√(ln(4))]

∫4√(ln(x)) dx =10.365336

midpoint rule :

∫4√(ln(x)) dx =(Δx)[f(1.25)+f(1.75)+f(2.25)+f(2.75)+f(3.25)+f(3.75)]]

∫4√(ln(x)) dx =(1/2)[4√(ln(1.25))  +4√(ln(1.75)) +4√(ln(2.25)) +4√(ln(2.75)) +4√(ln(3.25)) +4√(ln(3.75)) ]

∫4√(ln(x)) dx =10.724182

simpsons rule:

∫4√(ln(x)) dx =(Δx /3)[f(1)+4*f(1.5)+ 2*f(2)+ 4*f(2.5)+  2*f(3)+  4*f(3.5)]+f(4)]

∫4√(ln(x)) dx =((1/2) /3)[4√(ln(1))  +4*4√(ln(1.5)) +  2*4√(ln(2))  +4*4√(ln(2.5))  +2*4√(ln(3)) + 4*4√(ln(3.5)) +4√(ln(4))]

∫4√(ln(x)) dx =10.527905

To know more about " trapezoidal rule, the midpoint rule, and simpson's rule"

Refer this link:

https://brainly.com/question/16996659

#SPJ4

False. The set M = {a ∈ R: a > 1} is not a vector space under standard addition and scalar multiplication of real numbers.

To be a vector space, M would need to satisfy certain properties, such as closure under addition and scalar multiplication, which it does not fulfill.

For example, if we take two elements in M, say a = 2 and b = 3, their sum a + b = 2 + 3 = 5 is not in M since 5 is not greater than 1.

Therefore, M does not meet the requirements of a vector space.

Learn more about the real numbers at

https://brainly.com/question/31715634

#SPJ4

Step-by-step explanation:

To find the total cost, we need to multiply the weight of each type of soup by its respective price per kilogram and then add up the costs.

The cost of 5 kg of chicken chili is:

5 kg * $0.83/kg = $4.15

The cost of 5 kg of tortilla soup is:

5 kg * $0.51/kg = $2.55

The cost of 3 kg of lobster bisque is:

3 kg * $2.02/kg = $6.06

The total cost of all three types of soup is:

$4.15 + $2.55 + $6.06 = $12.76

Therefore, the total cost of the soups is $12.76.

Answer: $12.76

Step-by-step explanation:

chicken chili = 0.83/kg

5kg x 0.83/kg = $4.15

tortilla soup = 0.51/kg

5kg x 0.51/kg = $2.55

lobster bisque =2.02/kg

3kg x 2.02/kg = $6.06

$4.15 + $2.55 + $6.06 = $12.76

Answer:

$42.50

Step-by-step explanation:

250*0.17=42.5

cause %17 in decimal form is 0.17

Answer:

250 decreased by - 17% = $207.50

Explanation

Discount = Original Price x Discount %/100

Discount = 250 × 17/100

Discount = 250 x 0.17

You save = $42.50

Final Price = Original Price - Discount

Final Price = 250 - 42.5

Final Price = $207.50

Step-by-step explanation:

a. g(x) = -x² x-axis

what was originally above the x-axis (positive function values), is now below (negative function values). and vice versa.

b. h(x) = 1/2 x² neither

this does not flip things around. it only "squeezes" the curve down a little bit.

c. k(x) = (-x)² y-axis

although we would not notice. this turns negative x-values to positive ones, and positive x- values into negative ones. so, the left side of the curve trades place with the right side.

but because the left side of the original function is already the mirror image of the right side, we don't see a difference in the graph when mirroring the sides. but we did reflect across the y-axis.

Solving for all value of x (x - 1)/(x - 4) = -6/x has two solutions which are: x = -8 and x = 3.

Solve for all values of x.

x-1/x-4 = -6/x

In order to solve the given   equation we can start by simplifying the equation by cross-multiplying:

x(x - 1) = -6(x - 4)

Expand

x^2 - x = -6x + 24

x^2 + 5x - 24 = 0

Solve this quadratic equation by factoring or using the quadratic formula:

(x + 8)(x - 3) = 0

For x = -8

(x-1)/(x-4) = (-8-1)/(-8-4) = -9/-12 = 3/4

-6/x = -6/-8 = 3/4

x = -8

For x = 3

(x-1)/(x-4) = (3-1)/(3-4) = -2

-6/x = -6/3 = -2

x =3

So,

x = -8 or x = 3

Therefore the value of x = -8 and x = 3.

Learn more about value of x here:https://brainly.com/question/27944341

#SPJ1

Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer:

36/2^x

Step-by-step explanation:

= 4 X 9 x 1/2^x

= 36/2^x

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Given quadric surface is ( 3x)² − y + (2z)² = 0.

The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.

(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.

(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².

The trace is a parabola which opens upwards and intersects the y-axis at the origin.

(c) The trace obtained by intersecting the surface with the plane y = 1 can be obtained by replacing y with 1.

So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Know more about minor axis here:

https://brainly.com/question/30950392

#SPJ11

The probability of the shop purchasing is 5/9.

Let X be the number of non-defective engines purchased by the auto shop out of the 4 engines bought. We want to find P(X >= 3), the probability of getting at least 3 non-defective engines.

Using the hypergeometric distribution formula, we have:

P(X >= 3) = P(X = 3) + P(X = 4)

where

P(X = k) = (C(7, k) * C(2, 4-k)) / C(9, 4)

So, we have:

P(X = 3) = (C(7, 3) * C(2, 1)) / C(9, 4) = (35 * 2) / 126 = 5/18

P(X = 4) = (C(7, 4) * C(2, 0)) / C(9, 4) = (35 * 1) / 126 = 5/18

Therefore,

P(X >= 3) = 5/18 + 5/18 = 10/18 = 5/9

So the probability of the shop purchasing at least 3 non-defective engines is 5/9.

Learn more about  probability

brainly.com/question/30034780

#SPJ11

Answer:

the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer

Step-by-step explanation:

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

To know more about length visit-

brainly.com/question/23864013

#SPJ11

Answer:

The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8

The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2

You can check your answer by plugging in your answer to the variable and making sure both side equal each other

Step-by-step explanation:

The first one: the 5 should be - from both side so you get k=-8

The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2

Remember you always want to get the variables by themselves.

Sorry that was a lot. Hope it helps!

the conclusion explicitly is that it helps the audience or reader understand the main point of the argument or discussion. By stating the conclusion explicitly, the writer or speaker is able to provide a clear and concise explanation of the main idea they are trying to convey.

This makes it easier for the audience or reader to follow the argument and to understand the reasoning behind it.

Without an explicit conclusion, the audience may be left confused or unsure about what the main point of the discussion is. This can lead to misunderstandings and can prevent the audience from fully engaging with the argument or discussion.

In conclusion, stating the conclusion explicitly is important because it helps to ensure that the audience or reader understands the main point of the argument or discussion, leading to better communication and a more effective exchange of ideas.

To learn more about argument visit:

https://brainly.com/question/27100677

#SPJ11

Answer:

area is \(25\sqrt{3}\)

Step-by-step explanation:

the hight is \(5\sqrt{3}\)

\(5\sqrt{3}\)*10/2=\(25\sqrt{3}\)

The area of the garden that has a shape of equilateral triangle will be 43.3 square meters.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

A garden in the shape of an equilateral triangle has sides whose lengths are 10 meters.

The height of the triangle is given as,

sin 60° = h / 10

h = 10 x sin 60°

h = 10 x √3 / 2

h = 5√3 meters

Then the area of the triangle is given as,

A = (1/2) x 10 x 5√3

A = 5 x 5√3

A = 25 x 1.732

A = 43.3 square meters

The area of the garden that has a shape of equilateral triangle will be 43.3 square meters.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ2

To find the time at which the two water tanks will have the same amount of water, we can set up an equation based on the amount of water in each tank over time.

Let's assume t represents the time in hours. The first water tank is being filled at a rate of 10 gallons per hour, so the amount of water in the first tank can be represented as 10t + 50. The second water tank is being filled at a rate of 3 gallons per hour, so the amount of water in the second tank can be represented as 3t + 29.

We want to find the time when the two tanks have the same amount of water, so we can set up the equation:

10t + 50 = 3t + 29

To solve this equation, we can subtract 3t from both sides and subtract 29 from both sides:

10t - 3t = 29 - 50

7t = -21

Dividing both sides by 7 gives us:

t = -21/7

t = -3

Since time cannot be negative in this context, the solution t = -3 is extraneous. Therefore, there is no positive solution for t, which means the two tanks will never have the same amount of water.

To learn more about subtract click here:

brainly.com/question/13619104

#SPJ11

The lateral area of the triangular prism is 288 cm².

From the question, we have the following parameters that can be used in our computation:

Height = 12 cm

Base = 6 cm, 8 cm and 10 cm

The lateral area of the triangular prism is calculated as

Area = Sum of base lengths * Height

Substitute the known values in the above equation, so, we have the following representation

Area = (6 + 8 + 10) * 12

Evaluate

Area = 288

Hence, the area is 288 square cm

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer with Step-by-step explanation:

\(a) {n}^{2} + 3 \\ \\ n = 1 \\ {1}^{2} + 3 \\ 1 + 3 \\ = 4 \\ \\ n = 2 \\ {2}^{2} + 3 \\ 4 + 3 \\ = 7 \\ \\ n = 3 \\ {3}^{2} + 3 \\ 9 + 3 \\ = 12 \\ \\ n = 4 \\ {4}^{2} + 3 \\ 16 + 3 \\ = 19 \\ \\ n = 10 \\ {10}^{2} + 3 \\ 100 + 3 \\ = 103\)

In this sequence,

1st term = 4

2nd term = 7

3rd term = 12

4th term = 19

10th term = 103

\(b)2 {n}^{2} \\ \\ n = 1 \\ 2 \times {1}^{2} \\ 2 \times 1 \\ = 2 \\ \\ n = 2 \\ 2 \times {2}^{2} \\ 2 \times 4 \\ = 8 \\ \\ n = 3 \\ 2 \times {3}^{2} \\ 2 \times 9 \\ = 18 \\ \\ n = 4 \\ 2 \times {4}^{2} \\ 2 \times 16 \\ = 32 \\ \\ n = 10 \\ 2 \times {10}^{2} \\ 2 \times 100 \\ = 200\)

in this sequence,

1st term = 2

2nd term =8

3rd term = 18

4th term =32

10th term = 200

The cost of a taxi ride that is m miles long can be represented by the equation: Cost of ride, m miles = $2 + $1.50m

To calculate the cost of a taxi ride for 9 miles, we need to consider the fixed pickup cost of $2 and the additional cost per mile driven, which is $1.50.

For the 9-mile ride, the additional cost would be:

Additional Cost = $1.50 per mile × 9 miles = $13.50

Adding the pickup cost and the additional cost gives us the total cost of the ride:

Total Cost = Pickup Cost + Additional Cost = $2 + $13.50 = $15.50

Therefore, the cost of the taxi ride for 9 miles would be $15.50.

For a taxi ride that is m miles long, we can use the same formula. The additional cost would be:

Additional Cost = $1.50 per mile × m miles = $1.50m

The total cost of the ride would then be:

Total Cost = Pickup Cost + Additional Cost = $2 + $1.50m

This formula allows us to calculate the cost of the taxi ride for any given number of miles, represented by the variable m.

For more such questions on equation

https://brainly.com/question/29174899

#SPJ8

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

learn more about circumference of the triangle

https://brainly.com/question/20593200

#SPJ11

The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

for such more question on triangle

https://brainly.com/question/27447563

#SPJ11

Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

Answer:

no .... 20% is .2 not .02

Step-by-step explanation:

To find the extraneous solutions of an equation, you need to solve a related equation that is obtained by reversing the operation that was applied to the original equation.

An equation is a statement that asserts the equality of two expressions. In an equation, the expressions on both sides of the equals sign (=) represent the same value, so they must be equivalent.

Extraneous solutions are solutions of an equation that are obtained when a mathematical operation (such as taking the square root or the logarithm) is applied to both sides of the equation and then the equation is solved for the variable, but the operation introduces new solutions that are not actually solutions of the original equation.

To learn more about Extraneous solutions visit:

https://brainly.com/question/28362830

#SPJ4