The polynomial p is a function of x. The graph of p has four zeros at -4,-1,0, and 9. Select ALL the expressions
that could represent p.
more than one
a. 3x(x-4)(x - 1)(x + 9)
answer
b. --x(x + 4)(x + 1)(x-9)
c. -3x(x+4)(2x + 2)(x-9)
d. 3x(x+4)(x-1)(x-9)
e. -3x(x + 4)(x + 1)(x − 9)²

Answers

Answer 1

The polynomial function in which p has four zeros at -4,-1,0, and 9 are:

--x(x + 4)(x + 1)(x-9) , -3x(x+4)(2x + 2)(x-9) and  -3x(x + 4)(x + 1)(x − 9)²

What is a polynomial function?A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

Here given polynomial function,

a. 3x(x-4)(x - 1)(x + 9)

if x = 0

then the function becomes 0

but -4 , -9 , -1 does not satisfy.

Therefore the function does not have four zeroes

b. --x(x + 4)(x + 1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x + 1 ) = 0 when x = -1

(x - 9) = 0 when x = 9

Therefore the function has four zeroes.

c. -3x(x+4)(2x + 2)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(2x + 2 ) = 0 when x = -1

(x - 9) = 0 when x = 9

d. 3x(x+4)(x-1)(x-9)

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9) = 0 when x = 9

Here x = -1 does not satisfy, So the function does not have four zeroes.

e. -3x(x + 4)(x + 1)(x − 9)²

Here the function will have four zeroes,

x = 0

(x + 4 ) = 0 when x = -4

(x - 1 ) = 0 when x = 1

(x - 9)² = 0 when x = 9

Therefore the function has four zeroes.

Therefore the polynomial functions with four zeros at -4,-1,0, and 9 are as follows: —x(x + 4)(x + 1)(x-9), -3x(x+4)(2x + 2)(x-9) and

-3x(x + 4)(x + 1)(x-9) ²

To learn more about polynomial function refer to :

https://brainly.com/question/2833285

#SPJ1


Related Questions

solve the system of equations using elimination: 3x-2y=2 and 2x-5y=27

Answers

Answer:

(-4,-7)

Step-by-step explanation:

Multiply both sides of the first equation by-5 or 2 (I'll use 5) and both sides of the second equation by - 2 or 3 (I'll use -2).

3x - 2y = 2

5(3x-2y)= 5(2)

-15x - 10y = 10

2x - 5y = 27

-2(2x - 5y) = -2(27)

-4x + 10y = -54

Now you see that the absolute values of the y-values of the 2 equations match up . They are still the same equations but scaled up.

-15x + 10y = 10

-4x - 10y = -54

Add to eliminate y.

-11x = 44

Divide both sides by -11.

[tex]\frac{-11x}{-11} = \frac{44}{-11}[/tex]

x = -4

Plug back in to either equation to solve. I'll use the first equation.

3x - 2y = 2

x = - 4

3(-4) - 2y = 2

-12 - 2y = 2

Add 12 on both sides.

-12 + 12 - 2y = 2 + 12

- 2y = 14

Divide -2y on both sides.

[tex]\frac{-2y}{-2} = \frac{14}{-2}[/tex]

y = -7

(-4,-7)

Complete the equation of the line through-6, 5) and(3, -3). Use exact numbers.​

Answers

Answer:

To find the equation of the line through the two given points, we can use the slope-intercept form of the equation of a line, which is $y = mx + b$, where $m$ is the slope of the line and $b$ is the $y$-intercept (the point where the line crosses the $y$-axis).

We can find the slope of the line by using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1, y_1)$ and $(x_2, y_2)$ are the two given points. In this case, the slope is

$$m = \frac{(-3) - 5}{3 - (-6)} = \frac{-8}{9} = -\frac{4}{3}.$$

To find the $y$-intercept, we can plug the coordinates of one of the points and the slope into the equation of a line, so we have $y = -\frac{4}{3} x + b$. If we plug in the coordinates of the first point, we get

$$5 = -\frac{4}{3} (-6) + b \Rightarrow b = -\frac{4}{3} (-6) + 5 = \frac{28}{3}.$$

Therefore, the equation of the line through the two given points is

$$y = -\frac{4}{3} x + \frac{28}{3} = -\frac{4}{3} x + \frac{28}{3}.$$

Answer:

Step-by-step explanation:

(-6,5)     (3,-3)

The equation of the line:    

 [tex]\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]

x₁=-6      x₂=3     y₁=5     y₂=-3

Hence,

[tex]\displaystyle\\\frac{x-(-6)}{3-(-6)} =\frac{y-5}{-3-5} \\\\\frac{x+6}{3+6}=\frac{y-5}{-8} \\\\\frac{x+6}{9} =\frac{y-5}{-8} \\\\[/tex]

Multiply both parts of the equation by -72:

[tex]-8(x+6)=9(y-5)\\\\-8x-48=9y-45\\\\-8x-48+45=9y-45+45\\\\-8x-3=9y\\\\[/tex]

Divide both parts of the equation by 9:

[tex]\displaystyle\\-\frac{8}{9} x-\frac{1}{3} =y\\\\Thus,\ y=-\frac{8}{9}x-\frac{1}{3}[/tex]

In a game of luck, a turn consists of a player rolling 777 six-sided dice and counting how many of the dice show a 555. Let fff be the number of dice showing a 555 in a turn. What type of variable is fff?.

Answers

fff is a random variable in a game of luck

A random variable is a formula that gives each result in a sample space a numerical value.

There are two types of random variables: discrete and continuous. If a random variable only takes specified values inside an interval, it is said to be discrete. It is continuous if not.

We typically use capital letters, such X and Y, to designate the random variables

A random variable must be measured in order to be able to assign probabilities to a set of potential values. It is evident that the outcomes depend on a number of unpredictable physical elements.

According to the question,

In a game of luck, a turn consists of a player rolling 777 six-sided dice and counting how many of the dice show a 555. Let fff be the number of dice showing a 555 in a turn.

Here, fff is a Random variable.

To know more about Random variable here

https://brainly.com/question/17238189

#SPJ4

A bag contains five snicker bars, nine moly

Answers

Answer:

31%

Step-by-step explanation:

total number of candy bars in the beginning =  28

number of milkyway bars in the beginning = 9

probability = 9/28 x 100 = 32% (rounded)

number of candy bars after = 27

number of milkway bars after = 8

probablity = 8/27 x 100 = 30 (rounded)

total probablity = (30+32)/200 x 100 = 31

Emma has 3 1/8 slices of pizza in her lunch box. Ryan has 1/4 the amount of pizza that Emma does. How much pizza do they have together?



Please Help!

Answers

Emma and Ryan both have 125/32 pizzas.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given, Emma has [tex]3\frac{1}{8}[/tex]  slices of pizza.

Simplifying to improper fraction;

Emma has 25/8 slices of pizza.

And Ryan has 1/4 x The amount of pizza Emma has, slices of pizza.

That means, Ryan has 1/4 x (25/8) slices of pizza.

Applying multiplication of fraction.

That is, 25/32 slices of pizza.

To find the total amount of pizza;

add the number of pizza,

25/8 + 25/32

To add the number:

First, we take LCM,

25/8 + 25/32

= (100+ 25) / 32

= 125/32

Therefore, they both have 125/32 pizzas.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ1

(a) find a basis for the row space of a and the row rank of a. (b) find a basis for the column space of a and the column rank of a. (c) find a basis for the null space of a and the nullity of a. (d) find a basis for the null space of at and the nullity of at .

Answers

The four fundamental subspaces of a matrix are the row space, column space, null space, and left null space.(a) A basis for the row space of A is {{1,2,3}, {2,3,4}}. The row rank of A is 2.(b) A basis for the column space of A is {{1,2}, {2,3}, {3,4}}.

(c) A basis for the null space of A is {{-1,1,0}, {1,-2,1}, {0,1,-1}}. The nullity of A is 3.

(d) A basis for the null space of At is {{1,-1,0}, {-1,1,1}, {0,-1,-1}}. The nullity of At is 3.The four fundamental subspaces of a matrix are the row space, column space, null space, and left null space. The row space is the set of all linear combinations of the rows of the matrix, and its dimension is the row rank. The column space is the set of all linear combinations of the columns of the matrix, and its dimension is the column rank. The null space is the set of all vectors that are solutions to the system of equations Ax = 0, and its dimension is the nullity. The left null space is the set of all vectors that are solutions to the system of equations A^T x = 0, and its dimension is the nullity.

Learn more about matrix here

https://brainly.com/question/28180105

#SPJ4

customers depart from a bookstore according to a poisson process with rate a per hour. each customer buys a book with probability p, independent of everything else. (a) find the distribution of the time until the first sale of a book.

Answers

Let X be a random variable representing the time until the first sale of a book. Then X has a Poisson distribution with rate a*p per hour.

Let X be a random variable representing the time until the first sale of a book. This random variable is the sum of the times that customers take to arrive and purchase a book. Since customers arrive at a bookstore according to a Poisson process with rate a per hour, the time until the first customer arrives has an exponential distribution with rate a per hour. Moreover, each customer buys a book with probability p, independently of everything else. Thus, the time until the first sale of a book is the sum of the time until the first customer arrives and the time until the first successful purchase. This sum of two independent exponential random variables is a Poisson random variable with rate a*p per hour. Therefore, the distribution of the time until the first sale of a book is a Poisson distribution with rate a*p per hour.

Learn more about poisson distribution here

https://brainly.com/question/17280826

#SPJ4

A carnival game has a circular target on a coordinate plane. The target has the equation (x
+ 5)2 + (y + 5)² = 16. Sylvie throws a dart at point (-1,-6). Where is the point located in
relation to the target?

Answers

The point is located (d) outside the target in relation to the target

How to determine the location of the point?

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

Circle equation: (x + 5)² + (y + 5)² = 16. Sylvie throws a dart at point (-1,-6)

This means that we substitute (-1,-6) for x and y in the circle equation = (x + 5)² + (y + 5)² = 16.

So, we have the following representation

(x + 5)² + (y + 5)² = 16.

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

(-1 + 5)² + (-6 + 5)² = 16.

Evaluate the sum

(4)² + (-1)² = 16.

Evaluate the exponent

16 + 1 = 16.

Evaluate the sum

17 = 16

17 is greater than 16

Hence, the point is not in the target

Read more about circle equations at

https://brainly.com/question/1506955

#SPJ1

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5000 to rent trucks, and it will cost an additional $200 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.

Answers

The linear function relating the variables C and S is given as follows:

C(S) = 5000 + 200S.

The graph of the linear function is given by the image at the end of the answer.

How to define the linear function?

The linear function in this problem is defined in the slope-intercept as follows:

y = mx + b.

In which the coefficients of the function are defined as follows:

m is the slope, representing the rate of change of the output y relative to the input x.b is the y-intercept, representing the initial value of the output y.

In the context of this problem, the variables are given as follows:

Output: Cost.Input: Tons of Sugar.

It will cost $5000 to rent trucks, hence the intercept is of:

b = 5000.

It will cost an additional $200 for each ton of sugar transported, hence the slope is of:

m = 200.

Then the equation is defined as follows:

C(S) = 5000 + 200S.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Serenity has 58 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 210 square meters. Solve for the dimensions (length and width) of the field.

Answers

The dimensions of the rectangular( length and width) are 14m and 15m.

Here we have to find the dimension of the length and width.

Data given:

Fencing = 58m

Area = 210 m²

Let us assume the length be x

By this, we get the width as:

width = 58 - 2x / 2

         = 29-x

As the area is 210 m²

The formula to find the area of the rectangular is:

Area = length ×width

210 = x ( 29 -x)

x² - 29 x + 210 = 0

Formula to find the value of x from the quadratic equation:

x = -b ±[tex]\sqrt{b^{2} - 4ac }[/tex]

For the general equation ax² + bx + c =0

As the equation is:

x² - 29x + 210 = 0

a = -1

b = -29

c = -210

So,

x = 29 ±[tex]\sqrt{(29)^{2} - 4(-1)(-210) }[/tex] / 2(-1)

  = 29± 1/-2

  = 14, 15

29 - x = 15, 14 (for the value of x = 14 and 15 respectively)

Therefore the dimensions are 14m and 15m.

To know more about the rectangular refer to the link given below:

https://brainly.com/question/25292087

#SPJ4

Help! I am struggling

Answers

Answer:

34

Step-by-step explanation:

First you arrange the data in an ascending order and the median is the middle value. if the number of values is an even number, then the median will be the average of the two middle numbers. In this case, the median is 34.

20 List the steps of the perpendicular bisector construction in order from 1 to 4​

Answers

The steps of the perpendicular bisector construction in order from 1 to 4 are;

1) Open the compass

2) Draw arcs above and below the segment to be bisected

3) Draw arcs from the other endpoint of the segment to be bisected

4) Join the intersection of the arcs with a line

What is a perpendicular bisector?

A perpendicular bisector is a line, that is perpendicular to another line, and which divides the other line into two congruent segments.

The steps of a perpendicular bisector construction includes;

1) Opening the compass to a radius that is more than half the length of the segment to be bisected

2) With the radius of the compass opening in step 1, place the compass at one endpoint of the segment to be bisected and draw arcs above and below the the segment to be bisected

3) With the same radius of the compass from step 1, place the compass at the other endpoint and draw arcs above and below the segment to be bisected to intersect the arcs drawn in step 2

4) With a straightedge, draw a straight line joining the point of intersection of the arcs in step 3. The line is the perpendicular bisector of the segment.

Learn more about the perpendicular bisector of a segment here:

https://brainly.com/question/28626827

#SPJ1

How do you write a limit of a function?

Answers

The limit of a constant times a function is equal to the constant times the limit of the function. lim x →a(c f(x)) = c lim x →a f(x).

limit of a function

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

the right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right. The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.

Learn more about limits here :-

https://brainly.com/question/7446469

#SPJ4

The following are the dimensions of each room in a house:
Living room = 20 ft x 15 ft Kitchen = 12 ft x 10 ft
Bedroom 1 = 12 ft x 12 ft Bedroom 2 = 12 ft x 10 ft
Bathroom = 8ft x 12 ft

What is the total square footage of the house?

Answers

The Total Square Footage of the House is 780 sq. ft.

What is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Solution:

Area of Living Room = 20*15 = 300 sq. ft.

Area of Kitchen = 12*10 = 120 sq. ft.

Area of Bedroom 1 = 12*12 = 144 sq. ft.

Area of Bedroom 2 = 12*10 = 120 sq. ft.

Area of Bathroom = 8*12 = 96 sq. ft.

Total Area is 300 + 120 + 144 + 120 + 96 = 780 sq. ft.

To learn more about Area from the given link

https://brainly.com/question/25292087

#SPJ1

. syrup is draining from a conical tank into a snow cone machine at the rate of 8 cubic feet per minute. the height of the conical tank is 6 feet and the radius of the tank's top is 2 feet. how fast, in feet per minute, is the level in the tank falling when the height of the syrup level is 3 feet? express answer in terms of pi.

Answers

The rate the level in the tank falling when the height of the syrup level is 3 feet is 8/π feet per minute. The result is obtained by using the rate of change concept.

How to count the rate of change?

A conical tank containing syrup is draining.

The rate of water volume decreasing, dV/dt = 8 ft³/min.Height of conical tank = 6 ft.Radius of conical tank = 2 ft.

Find the rate of syrup level falling (dh/dt) when h = 3 ft!

See the picture in the attachment!

By the similar triangles, we get

r/h = 2/6

r/h = 1/3

r = 1/3 h

Find the volume of the syrup left at a certain height.

V = 1/3 πr²h

V = 1/3 π(1/3 h)²h

V = 1/3 π(1/9) h² h

V = 1/27 πh³

The rate of syrup level falling is

dV/dt = dV/dh . dh/dt

dV/dt = d/dt [1/27 πh³] . dh/dt

dV/dt = 1/27 π 3h² dh/dt

8 = 1/27 π 3(3)² dh/dt

8 =  π dh/dt

dh/dt = 8/π ft/min

Hence, the rate of syrup level falling is 8/π feet per minute.

Learn more about rate of change here:

brainly.com/question/29387279

#SPJ4

PLEASE HELP I NEED HELP FASTT!!
20 POINTS​

Answers

Solid line because there is a line under the alligator mouth symbol

You please help me with the second part i need it to pass this by friday

Answers

The inequality formed is x + 6 > 20 and Julie will sell more than 14 items after the first Week

What is inequality ?

A relationship between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

According to the given information

Let x be the more items that Julie will sell after First week

Number of items soled in First week = 6

So

The inequality formed will be

x + 6 > 20

Solving the inequality is

x > 20 - 6

x > 14

So

The inequality formed is x + 6 > 20 and Julie will sell more than 14 items after the first Week

To know more about Inequality

https://brainly.com/question/29166625

#SPJ1

In ΔPQR, q = 7.1 inches, ∠Q=37° and ∠R=12°. Find the length of p, to the nearest 10th of an inch.

Answers

p = 9

see explanation in image

using law of sines

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Length of p to the nearest 10th of an inch is 8.9 inches.

What is Sines Law of a Triangle?

Sines law of a triangle defines that the ratio of the side lengths of a triangle to the sine of the opposite angles to the side lengths are equal.

a / sin A = b / sin B = c / sin C

where a, b and c are the sides opposite to A, B and C respectively.

Given is a triangle ΔPQR.

Given, ∠Q = 37° and ∠R = 12°.

Sum of the interior angles of a triangle is 180°.

∠P = 180° - (37° + 12°)

     = 131°

Using the sine law,

p / sin P = q / sin Q

p / sin (131°) = 7.1 / sin (37°)

p = (7.1 / sin (37°)) × (sin (131°))

  = 8.9 inches

Hence the length of p is 8.9 inches.

Learn more about Sines Law here :

https://brainly.com/question/17289163

#SPJ2

Ava can swim 70 yards in 2 minutes. At this rate, how many yards would you expect her to swim in 5 minutes?

Answers

Answer:

175 yards

Step-by-step explanation:

70/2 = 35

35 x 5 = 175

Ava Swam 175 yards in 5mins
Just took the test hope this help best luck

2. The coordinates of the vertices of ADEF are D(-8, 5), E(-5, 8), and F(-1, 4).
Which set of coordinates describes a triangle that is similar to ADEF? (TEKS G.7.A)
FA(-24, 15), B(−15, 24), and C(−3, 8) +
G J(16,-10), K(10, −16), and L(2, -8)
HP(-8, 10), Q(-5, 16), and R(-1,8)
U(-10, 5), V(−7, −2), and W(−2, −7)

Just number 2 pls

Answers

Answer:

it is 9

Step-by-step explanation:

[tex]\frac{7}{9} \\[/tex] ×5[tex]\frac{2}{5}[/tex]

Answers

The value of the expression 7/ 9 × 5 2/ 5 is 4 1/5

What is a fraction?

A fraction can be described as the part of a whole element, number or expression.

There are several types of fractions which includes;

Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractions

From the information given, we have that;

7/ 9 × 5 2/ 5

Convert the mixed fraction to improper fraction

7/ 9 × 27/ 5

Now, reduce to simpler terms

7/ 1 × 3/ 5

Multiply the values

21/ 5

4 1/5

Hence, the value is 4 1/5

Learn more about fractions here:

https://brainly.com/question/11562149

#SPJ1

sovle bpleaseeeeeeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeese

Answers

Answer:

24 divided by 6 equals 4

Step-by-step explanation:

Answer: I think is 4

Step-by-step explanation:

Please help pleasee 40 points

which inequality do I pick for the word problem

The height to ride the roller coaster mist be at least 3 feet but no more than 6 feet
tall

A)x< 3 or x > 6
B) 3 < x < 6
C) 3 <= x <= 6
D) x <= 3 or x => 6

the <= means greater than or equal too

Answers

D)

D is the right answer because it has to be the no more than. So it has to be an equal to.

What are examples of functions in real life situation?

Answers

The examples of functions in real life situation is given below .

In the question,

we have to give few examples for functions in real life .

the term Function is defined as as a relationship between two variables where for every input variable there is one output variable.

the examples are :

Example 1 :

Suppose that a car is driving at a constant speed of 30 mph.

the total distance "d" is equal to the rate, 30 times the time "t" ,that we drive for . the function for the relationship between our distance, d, and the time for driving is

d = f(t) =30 × t  .

Example 2:

Suppose that the cost for 1 bag is $9 , then the function for the cost of "x" bags can be written as

Cost = f(x) = 9x .

Therefore , the real life situations examples are shown above.

Learn more about Functions here

https://brainly.com/question/16753506

#SPJ4

The points (1,2) and (-4,6) are rotated 90 degrees and translated right 4 units and down 2 units
Calculate the equation of a line that goes through both transformed points. (if needed use fractions with no spaces)

Answers

y=-3/4x-9/2 is the equation of a line that goes through both transformed points.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

we must translate the given point (x,y) into the translation given. We begin with the 90 degree clockwise rotation such that

90 degree clockwise rotation = (x, y) => (y, -x)

we translate the coordinate (y, -x)

2 units to the right such that

(y-4, -x - 2)

So the coordinate of points changed (1,2) and (-4,6) from (-2, -3) and (2, -6)

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

m=-3/4

Now let us find the y intercept.

-3=-3/4(-2)+b

-3=3/2+b

-3-3/2=b

-9/2=b

Hence, y=-3/4x-9/2 is the equation of a line that goes through both transformed points.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

(2x² + 15x+20) ÷ (x+5)

Answers

Answer:

To divide polynomials, we need to use polynomial long division. First, we divide the first term of the dividend by the first term of the divisor to get the first term of the quotient, which we write above the division bar. In this case, the first term of the dividend is 2x² and the first term of the divisor is x, so the first term of the quotient is 2x. We then multiply the divisor by the quotient and subtract it from the dividend to get the remainder.

Here's how the long division would look:

2x² + 15x + 20
===
x + 5

2x

_______

 15x - 10x

 15x + 20 - 10x - 20

 ___________

    5x - 20

After we perform the polynomial long division, we get the quotient 2x + 5 and the remainder -20. Therefore, the final result of the division is:

(2x² + 15x + 20) ÷ (x + 5) = 2x + 5 + (-20)/(x + 5)

Note that the remainder -20 is written as a fraction with the divisor x + 5 in the denominator. This is the correct way to write the remainder because it tells us that the remainder has a degree that is one less than the degree of the divisor. In this case, the degree of the divisor is 1, so the degree of the remainder is 0.

Find the standard deviation for the binomial distribution which has the stated values of n and p.
n = 48
p = 3/5

Answers

The standard deviation for the binomial distribution is 3.39

The standard deviation for the binomial distribution is given by,

σ = [tex]\sqrt{n * P(1-P}[/tex]

where n = Number of trials

P = probability of success of an individual trail

If n = 48 and P = 0.6

σ = [tex]\sqrt{48 *0.6(1-0.6})[/tex]

= [tex]\sqrt{48*0.24}[/tex]

=[tex]\sqrt{11.52}[/tex]

=3.39

Therefore, the standard deviation for the binomial distribution will be 3.36.

Learn more about standard deviation here: https://brainly.com/question/24298037

#SPJ4

A major automobile company claims that its new electric powered car has an average range of more that 300 miles. A random sample of 40 new electric cars was selected to test the claim. Assume that the population standard deviation is 12 miles. A 5% level of significance will be used for the test. A) what would be the consequences of making a type ii error in this problem? b) compute the probability of making a type ii error if the true population mean is 305 miles. C) what is the maximum probability of making a type i error in this problem?

Answers

Answer:

Step-by-step explanation:

urmom

Use the divergence theorem to compute the net outward flux of the vector field f across the boundary of the region d. F= 32-x,x - 5y,7y +9z

Answers

Using the divergence theorem we can compute that the outward flux of the vector field is 16π .

The outward flux of F over the solid cylinder and z = 0 is

∫∫F·ds  = ∫∫∫ DivF dv

F = 2xy² i   +  2x²y j + 2xy k

Div F  =  D/dx (2xy²)  +   D/dy (2x²y )

Div F  =  2y²  +  2x²

In cylindrical coordinates   dV = rdrdθdz and as z = 0 the region is a surface ds = r·dr·dθ

Using the parametric form of the surface equation

x = rcosθ        y =  r sinθ      and z = z

Div F  = 2r² sin²θ  + 2r²cos²θ

∫∫∫ DivF dv  =  ∫∫ [2r²sin²θ  + 2r²cos²θ] × rdrdθ

∫∫ 2r² [sin²θ  + cos²θ] × rdrdθdz   ⇒  ∫∫ 2r³ drdθ

Integration limits

0 < r < 2          0 < θ < 2π

2∫₀² r³ ∫dθ

(2/4) × (2)⁴ × 2π

The divergence theorem, commonly known as Gauss' theorem or Ostrogradsky's theorem, is a theorem that connects the flow of a vector field across a closed surface to the field's divergence in the volume enclosed.

In more detail, the divergence theorem states that the surface integral of a vector field across a closed surface, sometimes referred to as the "flux" through the surface, is equal to the volume integral of the divergence over the region inside the surface.

Therefore the flux is 16π .

To know more details about flux visit:

brainly.com/question/16840837

#SPJ4

the new malthusians worry that of the population will lead to a scarcity of food. a. exponential decline b. exponential growth c. steady growth d. steady decline

Answers

Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

Given that,

The new Malthusians worry that ______ of the population will lead to a scarcity of food.

We have to fill the blank.

We know that,

What is exponential growth?

A pattern of data that exhibits larger increases over time, forming the curve of an exponential function, is said to exhibit exponential growth.

The formula for the exponential growth is

V=S×(1+R[tex])^{T}[/tex]

The starting value, S, of an initial starting point subject to exponential growth can be multiplied by the sum of one plus the interest rate, R, raised to the power of T, or the number of periods that have passed, to get the current value, V.

Therefore, Option-B is correct that is exponential growth. The new Malthusians fear that a lack of food will result from the population's exponential growth.

To learn more about exponential visit: https://brainly.com/question/12490064

#SPJ4

Other Questions
What happens to the melting point of rock as the depth and pressure increases? g the coupon rate is a. the annual coupon divided by the face value of the bond. b. the annual coupon divided by the price of the bond. c. the annual coupon divided by the issue price of the bond. d. equal to the yield to maturity. radon-222 has a half-life of 3.8 days. an air sample from a basement in colorado was analyzed 5.0 days after it was collected and found to have a radon activity level of 0.17 bq/l. what was the original activity of this sample? the empirical formula and molar mass of several compounds are listed. find the molecular formula of each compound. a. c6h7n, 186.24 g>mol in april 2017, only months before the end of cassini's mission at saturn, two discoveries from enceladus plumes suggested that its subsurface ocean is in contact with bedrock underneath it, instead of just being between layers of ice. what two discoveries prompted this conclusion? White light passes through mercury vapor and is then analyzed using a spectrometer.A. The observed spectrum consists of mercury spectral lines and nothing else.B. The observed spectrum is continuous and contains mercury lines, but these lines are obscured by the white light.C The observed spectrum is continuous without any missing lines.D. The observed spectrum is continuous and contains dark absorption mercury lines.E. None of the above. opqrst is considered a focused assessment for the evaluation of pain which has brought the patient in for this particular event. what type of questions relate to what the patient was doing when the signs and symptoms first started to occur? Is cycling 1hr a day good? how is the damage pattern from a derecho different from the damage pattern from a tornado? amanda wants to be part of the most basic form of ownership for a corporation. she should invest in: Which is window method is used to move the correct window? Why it is necessary for teachers to create a quality learning environment what they need to do to achieve this and how this will impact on meaningful learning? 4. In 1890, three kinds of people were deciding the future of our national natural resources. Describe each group. -Preservationists: leave national natural resources alone-Conservationists: use national natural resources responsibly -Others: If the Federal reserve and Government are attempting to encourage growth and stimulate the economy, which actions would each take? (monetary / fiscal)answer choices- increase the Required reserve / increase government spending- sell government securities / decrease taxes- decrease the interest rate / increase government spending- buy government securities / decrease government spending on september 6, irene westing purchased one bond of mick corporation at 94.75%. the bond pays 8.25% interest on june 1 and december 1. the stockbroker told irene that she would have to pay the accrued interest and the market price of the bond and a $4 brokerage fee.what was the total purchase price for irene? assume a 360-day year (each month is 30 days) in calculating the accrued interest. (hint: final cost Which of the following are needed to describe the distribution of stock returns?a. the life span of the stockb. the variety of returnsc. the mean returnd. the standard deviation of returns is this statement true or false? the aegean sea is an arm of the mediterranean between turkey and greece. How was slavery different in Mesopotamia than it was here in the USA? If k3 9 = 12, what is the value of k? What are some quotes from Tom Sawyer?