Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X ≥ 5), n=6, p=0.3

Answer:

f(4)=14

Step-by-step explanation:

a) u do it by substituting 4 in places where there r 'x'

since this one say f(4) it only can go to the function which says f(x)
f(x)=4x-2
f(4)=4(4)-2, so according to BODMAS rule multiplication comes first rather than subtraction

so, f(4)=16-2=14
f(4)=14
do the others based on this, hope i explained well, if i did, please gimme brainliest :)

Answer

{-10, 9}

Step-by-step explanation:

The above are Simultaneous equations

These are two or more equations that share same variables.

8X + 10Y = 10--------(1)

5X + 4Y = -14-------(2)

40X + 50Y = 50 ---------(3)

40X + 32Y = - 112--------(4)

18Y = 162

[tex] \frac{18y}{18} = \frac{162}{18} \\ y = 9[/tex]

40X + 50Y = 50

40X + 50(9) = 50

40X + 450 = 50

40X = 50 - 450

40X = - 400

{-10, 9}

Answer: -221

Step-by-step explanation:

31 is smaller than 252. Therefore, since 31 MINUS x equals 252, x needs to be a negative number in order to complete the equation (recall that a negative number times a negative number equals a positive number).

Therefore, if we subtract 31 on both sides, in other words transpose, we get,

-x = 221

The coefficient of -x is -1, however it is not written as it's implied that if there is not written coefficient in from of a variable then the coefficient of the variable is 1 or -1, depending on its sign.

Therefore, dividing -1 on both sides, we get,

x = -221

Hence, the desired answer is -221.

Answer:

51,840

Step-by-step explanation:

The format of P(n, r) is used for permutations,

where      [tex]P(n, r) = \frac{n!}{(n - r)!}[/tex]

To evaluate this expression, P(9,2), we use the formula of permutation,

We have the value of n = 9 and r = 2, thus,

[tex]P(n, r) = P(9, 2) = \frac{9!}{(9 - 2)!} =\frac{9!}{7!} =\frac{9*8*7!}{7!} = 9 *8 =72\\[/tex]

To evaluate this expression, P(6, 5), we use the formula of permutation,

We have the value of n = 6 and r = 5, thus,

[tex]P(n, r) = P(6, 5) = \frac{6!}{(6 - 5)!} =\frac{6!}{1!} =\frac{6*5*4*3*2*1!}{1!} = 6*5*4*3*2 = 720[/tex]

Therefore the product of P(9, 2) · P(6, 5) is

72 · 720 = 51,840

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The functions f(x)=8x^2+x+3, g(x)=4x-1, h(x)=3x+6 C.Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g is true.

What is increasing function?

⇒ The function is said to be increasing if the y value increases as the x value increase over a given range

What is average rate of change?

⇒An average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another

As x approaches infinity the value of f(x) eventually exceeds the value of both g(x) and h(x)

And it is true for the interval [0,2]

The faster the growth rate higher the average rate of change

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Answer:

C.

Over the interval [0, 2], the average rate of change of f and h is less than the average rate of change of g.

Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.

Un triángulo es un polígono que está determinado por tres segmentos de recta que se denominan lados, o por tres puntos no alineados llamados vértices.

En otras palabras, un triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.

Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.

El triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo recto y dos ángulos agudos.

En otras palabras, el triángulo rectángulo es aquel que tiene un ángulo interior que es recto, es decir, mide 90º.

En este caso, sabes que:

Entonces, el valor del ángulo faltante se puede calcular mediante:

90° + 25° + ángulo faltante= 180°

Resolviendo:

115° + ángulo faltante= 180°

ángulo faltante= 180° - 115°

ángulo faltante= 65°

Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.

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Answer:

4900

That is your answer..........

Answer: 5/11

Solution: x = 5/11

Step-by-step explanation:

Question: -(x+3)=-8+10x

Result -x-3=10x-8

Hope this help :)

Please give brainless

-(×+3)=-8+10× is a math equation with the solution of 5/11

Utilizando la distribución binomial, la probabilidad de resolver un problema de n problemas propuestos, es p^n.

La fórmula es:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

La probabilidad de que todos los problemas sean resolvidos es dada por P(X = n), asi:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = n) = C_{n,n}.p^{n}.(1-p)^{n-n}[/tex]

P(X = n) = p^n

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Answer:

Step-by-step explanation:

A cone has a height of 10cm. The base radius is 2.5cm. Calculate the volume of the cone.

The formula for the volume of a cone is ⅓ r²h cubic units, where r is the radius of the circular base and h is the height of the cone.

1/3π2.5²×10 =

1/3π6.25×10 =

1/3π62.5 =

1/3×196.25 =

196.25:3 =

65.41 u³

A circle is a shape formed by a curved side. Therefore, the required answers are:

1. An example of an inscribed angle is: <SQT or <QST or <QTS

2. An example of a minor arc is: arc QT or RS or QR

3. An example of a semicircle is: QRS or QTS

4. <QPR =  [tex]\frac{264600}{44r}[/tex] degrees

An angle is said to be formed whenever two or more straight lines intersect or meet. But an inscribed angle is an angle formed within a given circle.

A circle is a shape formed by a curved side. Some of its parts are semicircle, radius, diameter, chord, sector, segment, etc.

Thus the following can be deduced from the given question:

1. An example of an inscribed angle is: <SQT or <QST or <QTS

2. An example of a minor arc is: arc QT or RS or QR

3. An example of a semicircle is: QRS or QTS

4. <QPR.

length of an arc = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r

where r is the radius of the circle

105 =   [tex]\frac{x}{360}[/tex] x 2 x [tex]\frac{22}{7}[/tex] x r

      = [tex]\frac{44xr}{2520}[/tex]

44 xr = 105 x 2520

44xr = 264600

x = [tex]\frac{264600}{44r}[/tex]

Therefore the measure of angle QPR in terms of r is  [tex]\frac{264600}{44r}[/tex] degrees.

5. The length of arc QTR can be determined by;

Arc QTR =  [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r

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Answer: Option (2)

Step-by-step explanation:

When x=10,

13.2 is closer to 14 than 16.6, so the least-squares regression line is a better prediction.

Answer:

4,928 rounded to the nearest hundred = 4,900

Step-by-step explanation:

Greetings!

Hope it helps!

Answer:

The answer is 4900, because the next number is less than five, due to that we don't have to add a number (+1).

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Step-by-step explanation:

there is a nice formula for the height in a right-angled triangle :

h = sqrt(p×q)

h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.

so, in our case

x = sqrt(25×144) = 5×12 = 60

Answer:

  f(x) = x³ -12x² +46x +148

Step-by-step explanation:

When p is a root of polynomial function f(x), (x -p) is a factor. When the coefficients are real, any complex roots come in conjugate pairs.

Given the two roots of f(x), we know the third root is the conjugate of the given complex root. The factored form will be ...

  f(x) = (x -(-2))(x -(7 +5i))(x -(7 -5i))

Rearranging a bit, this is ...

  f(x) = (x +2)((x -7) -5i)((x -7) +5i)

The latter two factors are recognizable as the factors of the difference of squares, so this is ...

  f(x) = (x +2)((x -7)² -(5i)²) = (x +2)((x -7)² +25)

Multiplying the factors, we have ...

  f(x) = (x +2)(x² -14x +49 +25) = (x +2)(x² -14x +74)

  f(x) = x³ -14x² +74x +2x² -28x +148 . . . . . use the distributive property

  f(x) = x³ -12x² +46x +148 . . . . . . . . . . collect terms

$3,717.14

Compound interest is the interest on the principal funding as well as the interest itself.

Compound Interest Formula

Compound interest can be solved by plugging known values into a formula.

In this formula, the variables stand for different values.

So, for this question, we can plug in the values we are given and solve for P.

Identifying Known Values

First, let's find the exact numbers we are going to plug in.

Solving For P

Now we can plug all of these values in.

First, simplify the values within the parentheses and in the exponent through arithmetic.

Next, divide both sides by [tex]1.005^{96}[/tex]

*Note that the answer has been rounded to the nearest hundredth.

This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

SA = 2(lw + lh + hw), where:

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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Answer:

34.51ft³

Step-by-step explanation:

The formula to find the volume of a cylinder is :

V = π r² h

Here,

r ⇒ radius ⇒ 1.3ft

h ⇒ height ⇒ 6.5ft

Let us find now.

V = π r² h

V = π × ( 1.3 )² × 6.5

V = π × 1.69 × 6.5

V = 34.51ft³

The mean average of push ups Sasha does in 5 days is 26.2.

Mean average = Total push ups done / number of days

= (22 + 36 + 21 + 25 + 27) / 5

= 131 / 5

= 26.2

Therefore, the mean average of push ups Sasha does in 5 days is 26.2.

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The limit is

[tex]\displaystyle \lim_{x\to\infty} \frac{3x^{7/2} + 7x^{-1/2}}{x^2 - x^{1/2}} = \lim_{x\to\infty} \frac{3x^{3/2} + 7x^{-5/2}}{1 - x^{-3/2}} = \boxed{\infty}[/tex]

since the degree of the numerator exceeds the degree of the denominator.

a. The velocity t = [tex]v = Ce_{n} (\frac{mo}{mo - kt} ) - gt[/tex]

b. v60 = 7164

mdv/dt = ck - mg

dv/dt = ck/m - mg/m

= ck/m - g

dv = [tex](\frac{ck}{Mo-Kt} -g)dv[/tex]

Integrate the two sides of the equation to get

v [tex]-\frac{ck}{k} e_{n} (Mo- kt)-gt+c[/tex]

[tex]v = Ce_{n} (\frac{mo}{mo - kt} ) - gt[/tex]

b. fuel accounts for 55% of the mass

So final mass after fuel is burned out is = 0.45

c=2500

g=9.8

t=60

v = -2500ln0.45 - 9.8 x 60

= 7752 - 588

= 7164

A rocket, fired from rest at time t = 0, has an initial mass of m0 (including its fuel). Assuming that the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m0 - kt. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity of the rocket will satisfy the equation where g is the acceleration due to gravity.

dv dt m =ck - mg

(a) Find v(t) keeping in mind that the mass m is a function of t.

v(t) =

m/sec

(b) Suppose that the fuel accounts for 55% of the initial mass of the rocket and that all of the fuel is consumed at 60 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [Note: Take g = 9.8 m/s² and c = 2500 m/s.]

v(60) =

m/sec [Round to nearest whole number]

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So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

Givent that Point J is located at -19. Points K and L are each 8 units away from Point J. This implies that the modulus of K - J or modulus of L - J = 18.

So, |K - J| = 8

⇒ K - J = 8 or -(K - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ K - J = 8 or -(K - J) = 8

⇒ K - (-19) = 8 or -(K - (-19)) = 8

⇒ K + 19 = 8 or (K - (-19)) = -8

⇒ K + 19 = 8 or K + 19 = -8

⇒ K = 8 - 19 or K = -8 - 19

⇒ K = - 11 or K = -27

Also, |L - J| = 8

⇒ L - J = 8 or -(L - J) = 8

Substituting the value of J = -19 into the equation, we have

⇒ L - J = 8 or -(L - J) = 8

⇒ L - (-19) = 8 or -(L - (-19)) = 8

⇒ L + 19 = 8 or (L - (-19)) = -8

⇒ L + 19 = 8 or L + 19 = -8

⇒ L = 8 - 19 or L = -8 - 19

⇒ L = - 11 or L = -27

So, K and L are located at K = -11 or L = -27 or K = -27 or L = -11

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Answer:

46

Step-by-step explanation:

Answer:

46

According to question,

10% × x = 20

x = 20 ÷ 10%

x = 20 ÷ 0.1

x = 200

Now find 23% of x

23% × 200

0.23 × 200

46

The behavior of the graph of I and what it means in context can be explained below:

Sound intensity, serves as the  power that is been carried by sound waves per unit area and this is usually in the direction perpendicular to that area.

we were given the  function [tex]I = \frac{P}{4pir^2}[/tex]

r  represent the Distance from the source of sound

P represent the Power of the sound

when there is increase in the  distance from the source the intensity moves to zero.

we can see that there is is an inverse proportion between the Intensity and the distance r  which implies that The intensity decreases  when the distance increases.

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The system of inequalities has Infeasible solutions option (B) Infeasible is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality:

2x + y ≤ 5

3x + y ≤ 12

First plot the above two inequality on a coordinate plane.

As we can see the intersection region on a coordinate plane for both the inequality:

f(x, y) = 2x + 2y

As we can see there is so many points in the intersection region for the above function so there will no single solution.

Thus, the system of inequalities has Infeasible solutions option (B) Infeasible is correct.

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According to the adjustable-rate mortgage The new monthly payment in year 8 of the loan is $1292.

According o the statement

we have given that the

Remy obtains a 30-year mortgage in the amount of $625,000 And

She secures a 7/1 ARM at an initial interest rate of 3%. Her initial monthly payment is $2,635.03.

And we have to find the new monthly payment when its interest rate increased to the 4.925%.

So, For this purpose we know that the

An adjustable-rate mortgage (ARM) is a loan with an interest rate that changes.

The amount in which she bought mortgage = 625,000

Interest rate = 3%

Initial amount = 2635.03

From this it clear that the

The amount she pays in 7 years = 2635.03*7

The amount she pays in 7 years = 18445.21

The left amount = 625,000 - 18445.21

The left amount = 606554

It means the rate of interest increased on the amount 606554$

So, According to the 4.925% interest the monthly payment will become

amount on interest rate 4.925% = 4.925% *606554/23 years

amount on interest rate 4.925% = $1292.

So, According to the adjustable-rate mortgage The new monthly payment in year 8 of the loan is $1292.

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The volume of the oblate spheroid is approximately equal to 75.398 cubic feet.

In this problem we have the shape of an ellipse centered at origin, whose vertex form is shown below:

x² / a² + y² / b² = 1        (1)

Where a, b are the lengths of the semiaxes, in feet.

An oblate spheroid is generated by revolving half of the ellipse about the y-axis. Oblate spheroids are a kind of ellipse:

x² / a² + y² / b² + z² / a² = 1       (2)

Where a, b, c are the lengths of the semiaxes, in feet.

And the volume of the oblate spheroid is:

V = (4 / 3) · π · a² · b      (3)

If we know that a = 3 ft, b = 2 ft, then the volume of the oblate spheroid is:

V = (4 / 3) · π · (3 ft)² · (2 ft)

V ≈ 75.398 ft³

The volume of the oblate spheroid is approximately equal to 75.398 cubic feet.

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