Find the probabilities for the values of n
and \(p\_ when the conditions for the binomial distribution are met

The given expression is a fifth-degree polynomial.

An expression represents a polynomial when these following conditions are satisfied:

The exponents for this problem are given as follows:

5, 2 and 1.

Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.

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Answer:

my life is going to be my a and for things world have do going doing and for that the

Answer:

r = 5.1666...

Step-by-step explanation:

4.25 + 1.5r = m

4.25 + 1.5r = 12

1.5r = 12 - 4.25

1.5r = 7.75

r = 7.75 ÷ 1.5

r = 5.1666...

The total cost to rent two bicycles for 4 hours using this pricing is $44.80.

To determine this, we can first calculate the cost of the first bicycle at the regular hourly rate:

Cost of first bicycle = regular hourly rate * number of hours = $10 * 4 = $40

We can then calculate the cost of the second bicycle at 1.2 times the regular hourly rate:

Cost of second bicycle = (regular hourly rate * 1.2) * number of hours = ($10 * 1.2) * 4 = $48

The total cost to rent both bicycles is the sum of the costs of the individual bicycles:

Total cost = cost of first bicycle + cost of second bicycle = $40 + $48 = $88

However, the shop is advertising a sale, so we need to divide the total cost by 2 to get the final cost:

Final cost = total cost/2 = $88/2 = $44

Rounded to the nearest cent, the final cost is $44.80. This is the total cost to rent two bicycles for 4 hours using the pricing advertised in the sale.

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Answer:

1300=X

Step-by-step explanation:

Answer:

1,300

Step-by-step explanation:

You would first start off with adding 100 + 100= 200. Then you would add another 100 to 200 which is 300. Then comes the final step which is adding 1000 to 300 which = 1300

X= 1,300

Answer:

4.712 radians

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

The answer is = 39

1 to the pwer of 1 = 1

3 to the power of 3 = 27

\(\huge\mathfrak\pink{Answer...}\)

+,- 17

\(\huge\mathfrak\purple{hope \: it \: helps..}\)

Answer:

it's  equals 7

Step-by-step explanation:

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

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Answer:

Because when a number is raised to negative indice, it automatically becomes a fraction of 1, with the number raised to the positive indice. If the original expression becomes the other..its still equivalent and equal to the same value-just changed to make solving more easier

Answer:

see expression

Step-by-step explanation:

Using the rule of exponents

\(a^{-m}\) ⇔ \(\frac{1}{a^{m} }\) , then

\(2^{-4}\)

= \(\frac{1}{2^{4} }\)

Thus

\(2^{-4}\) and \(\frac{1}{2^{4} }\) are equivalent expressions

Answer:

Step-by-step explanation:

kk

Answer:

Is there supposed to be a picture?

Answer:

I need to see the equation not the question only so if you could show me the equation in a screenshot it would help me better understand what the question is and I might be able to answer ur question.

Step-by-step explanation:

Answer:

Yes, with 1/8 cup left over

Step-by-step explanation:

First, we are going to convert the fractions to a common denominator. You can see all the numbers are a factor of 8, so 8 will be our common denominator.

Converting 3 1/2: Let's ignore the 3 and only pay attention to the fraction.

1/2 * 4/4 = 4/8, so our new fraction is 3 4/8

Converting 1 3/4: We ignore the whole number (1) and pay attention to 3/4.

3/4 * 2/2 = 6/8, so our new fraction is 1 6/8

Now that we have the correct fractions to make it easy to subtract, we make our equation:

1 5/8 + 1 6/8 = 2 11/8, simplified: 3 3/8

We know that in total, Jenny has 3 4/8 cups and she used 3 3/8 cups in total, so yes, there will be enough with 1/8 cup left over.

Brainliest?

Answer:

x=20

Step-by-step explanation:

x - 5 = 15

x +5 = +5

x = 20

Answer:

20

Step-by-step explanation:

if u go on your calculator there is a math button click it and go to numrical equations and type it out the first block is the numbers and stuff in front of the equal sign and the second block is after it

Answer:

Check the explantion

Step-by-step explanation:

H(t) represent the height of the ball after t seconds.

1)

In order to figure the maximum height of the ball we must minupulate this equation into a form where we can easily find the maximum height.

We can also see this parabola will be downward concaved because it has a negative coefficent for the t^2 term.

a) Let's Manipulate!

Vertex form is a form where we can easily tell the maximum and minimum points. To get in into Vertex form we just need to complete the sqaure.

Lets reanrage the terms

h(t)= -16t^2+144t

Undo the distrubitive propety

h(t)= -16(t^2-9t+20.25)+324

Add and subtract 324.

h(t) = -16(t-4.5)^2+324

COmplete the square.

b) Almost done!

We can now see that the stuff with the brackets is always positive/zero because any real number sqaured is a positive/zero. But than we multiply the positive stuff by a negative number (-16) so its now all negative.

The only exception is when its zero.

And off course if we add 324 to zero its always going to be greater than 324 + a negative number. To get the first term to be zero we can have t = 4.5.

c) Proove it!

h(4.5) = -16(4.5-4.5)^2+324

=324

d) Double Check by graphing!

(Its a attach screenshote by the way)

e) Answer:

The ball will reach its maximum height after 4.5 seconds.

Hoped this helped!,

JoeLouis2

Answer:

we have

diameter {d}=6.8m

radius (r)=3.4m

height]h}=8.5

now

volume of cylinder=πr²h=π([6.8]/2)²×8.5=

π(3.4)²(8.5) is your answer

Step-by-step explanation:

Diameter of the cylinder=6.8m

Radius=Diameter/2=6.8/2=3.4

\(\boxed{\sf Volume=\pi r^2h}\)

\(\\ \tt \mapsto \:Volume_{(Cylinder)}=\pi(3.4)^2\times 8.5 units^3\)

O P=20($1.50)

If they sell 100 boxes of chocolates, they will make $3,000 in profit.

Given that each chocolate bar costs $1.50 and that there are 20 chocolate bars in a box, multiplication is required to get the profit for the entire box. Using this information, we discover that each chocolate box costs $30, multiplied by 100 boxes to equal $3000.

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There are 165 different committees possible where no member has any specific responsibilities

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

Information about the problem:

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(11/3) = 11! / [(11-3)! *3!]

C(11/3) = 11! / [(8)! *3!]

C(11/3) = 11*10*9*8! / [(8)! *3!]

C(11/3) = 11*10*9/3!

C(11/3) = 990/6

C(11/3) = 165

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

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Answer:

sorry I can't remember this

Answer:

18.87 square cm.

Step-by-step explanation:

The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.

Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.

The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.

The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.

1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.

6.8672588 + 12 = 18.8672588, or 18.87 square cm.

Hope this helps!

Answer:

(44 - 8(pi)) cm^2    Exact area

18,9 cm^2    Approximate area

Step-by-step explanation:

The shaded area is the area of the trapezoid minus the area of the semicircle.

area of trapezoid = (b1 + b2)h/2

area of semicircle = (pi)(r^2)/2

The triangles at both sides are right triangles. Each of the horizontal legs has length (14 cm - 8 cm)/2 = 3 cm. Each of the vertical legs is congruent to the radius of the semicircle.

b1 = lower base = 14 cm

b2 = upper base = 14 cm - 3 cm - 3 cm = 8 cm

shaded area = (b1 + b2)h/2 - (pi)(r^2)/2

= (14 cm + 8 cm)(4 cm)/2 - (pi)(4 cm)^2 / 2

= 44 cm^2 - 8(pi) cm^2

= (44 - 8(pi)) cm^2    Exact area

= 18.9 cm^2    Approximate area

9514 1404 393

Answer:

  6.  $44,506.92

  7.  $20,197.88

  8.  $8,132.84

  9.  $20,137.53

Step-by-step explanation:

The formula for future value is ...

  FV = P(1 +r/n)^(nt)

for principal P at annual interest rate r compounded  n times per year for t years.

This formula is built in to most spreadsheet programs, which can be usefully used to calculate its value for different values of the variables. The spreadsheet function needs the interest rate per period (r/n) and the number of periods (nt).

Continuous compounding can be reasonably approximated by compounding 100 million times per year. Or the continuous compounding formula can be used:

  FV = Pe^(rt)

The attached spreadsheet shows the values for these problems, and it shows the formula used to obtain them.

_____

Additional comment

Spreadsheet functions often work in terms of cash flow. A payment has one sign, and a value received has the opposite sign. Here, we have shown -FV( ) in the spreadsheet, because the given arguments would otherwise show the FV as negative. (More properly, the last function input would be the opposite of the principal value, as it is a payment being made.)

To find the yield to maturity (YTM) of the bond, we need to solve for the interest rate that equates the present value of the bond's cash flows to its current market price.

The cash flows of the bond consist of the periodic coupon payments and the final principal repayment. In this case, the bond has a 6% coupon rate and a 19-year maturity with a $1,000 face value.

The YTM can be calculated using financial functions or by using an iterative approach. Here, I will demonstrate the iterative approach using the Newton-Raphson method to solve for YTM:

Step 1: Set the parameters and initial guess

Face value (F) = $1,000

Coupon rate (C) = 6% = 0.06

Maturity (N) = 19 years

Market price (P) = $986

Initial guess for YTM (r) = 0.06 (6%)

Step 2: Set up the equation to solve

The present value of the bond's cash flows can be calculated as follows:

P = C * (1 - \((1 + r)^{(-N)}\)) / r + F / \((1 + r)^N\)

Step 3: Iterate to find the YTM

Use the Newton-Raphson method to iteratively solve for YTM until the equation is satisfied.

Repeat the following steps until convergence is achieved:

   Calculate the present value of the bond's cash flows using the current YTM guess.

   Calculate the derivative of the equation with respect to YTM.

   Update the YTM guess using the formula:\(r_new = r - (P - calculated_present_value) / derivative\)

Continue iterating until the difference between the current and previous YTM guesses is negligible (i.e., convergence is achieved).

After performing the calculations, the yield to maturity (YTM) of the bond is approximately 6.11%.

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Answer:

12

Step-by-step explanation:

by pythagoras’ theorem:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

b^2 = 144

b = 12

Answer:

blurry

Step-by-step explanation:

noob

The proportion based on the Smallest number is 40.

The smallest number, let's set up the proportion based on the given information. Let's assume the two numbers are represented by x and y.

The given proportion is:

x/y = 2/5

According to the problem, if we add 75 to one number and 15 to the other, the resulting amounts would be equal. This can be expressed as:

(x + 75) = (y + 15)

To find the smallest number, we can solve this system of equations. We can rearrange the second equation to isolate y:

y = (x + 75) - 15

y = x + 60

Now we can substitute this expression for y in the first equation:

x/(x + 60) = 2/5

To solve for x, we can cross-multiply:

5x = 2(x + 60)

5x = 2x + 120

3x = 120

x = 40

Now that we have the value of x, we can substitute it back into the second equation to find y:

y = x + 60

y = 40 + 60

y = 100

Therefore, the smallest number is 40.

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The second term in the expansion of (a+b)^9 (a+b) is 10a^9b

Answer:

8 hours

Step-by-step explanation:

wait what is starting temperature?