P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ?

Answer:

2 5/7 5/7 -1/7, -5/7, 1 2/7, -2 2/7, -1 5/7

Answer:The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation:  https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)

Use the above property on  RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

or

Using:  , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

Considering that the mean of the normal distribution is the same as the median, the median is of 88%.

It states that, for a normally distributed random variable:

For the normal distribution, the median is the same of the mean, that is, the median is of 88%.

More can be learned about the Empirical Rule and the normal distribution at https://brainly.com/question/24537145

#SPJ1

Answer: m x H = [ -9  36  - 9/2 ]

Step-by-step explanation:

The number of the units were started into production in a period will be 25,375.

A industry's fully prepared kinds of goods, as well as the primary materials needed to make them, are considered to as inventory.

If there were zero units of beginning work in process inventory, 4,714 units of ending work in process inventory, and 20,661 completed and transferred out units.

Completed and transferred out = 20,661

Ending Inventory = 4,714

Units accounted for = 25,375

Beginning Inventory = 0

Units started into production = [Units accounted for – Beginning work in progress Inventory] = 25,375

Units accounted for = 25,375

More about the inventory link is given below.

https://brainly.com/question/14184995

#SPJ1

Answer:

  B.) The only solution is (4, - 1/2)

Step-by-step explanation:

To solve this system of equations using the substitution method, we need to use one equation to find an expression for one of the terms or variables that can be substituted for that term or variable in the other equation.

__

Here, it is convenient to use the second equation to write an expression for x:

  x -2 = -4y

  x = 2 -4y . . . . add 2 to both sides

Using this expression for x, we can write the second equation as ...

  3x +2y = 11

  3(2 -4y) +2y = 11 . . . . . substitute for x

  6 -10y = 11 . . . . . . . . eliminate parenthses

This 2-step equation can be solved in the usual way:

  -10y = 5 . . . . . . . subtract the constant to isolate the variable term

  y = -5/10 = -1/2 . . . . . divide by the coefficient of the variable

  x = 2 -4(-1/2) = 2 +2 = 4 . . . . . find the corresponding x-value

The only solution is (x, y) = (4, -1/2).

The only solution is (x, y) = (4, -1/2). so, the correct option is B.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

we have the system of equations;

3x+2y=11

x−2=−4y

By the substitution method;

use the second equation to write an expression for x:

 x -2 = -4y

 x = 2 -4y

substitute

 3x +2y = 11

 3(2 -4y) +2y = 11

 6 -10y = 11

solve

 -10y = 5

 y = -5/10 = -1/2

 x = 2 -4(-1/2)

x = 2 +2 = 4

Thus, The only solution is (x, y) = (4, -1/2). so, the correct option is B.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Answer:

Mrs. Martin has 19 Students

Step-by-step explanation:

first step: 100-5=95

second step: 95/19=5

So, 95 divided by the possible number of students which is 19 it yields the answer of 5 which is the number of cookies each of her student recieved.

Step-by-step explanation/Answer:

PE(MD)(AS) (a good way to remember how to solve order of operations)

Start:

P: Parenthesis

E: Exponent

M: Multiplication & D: Division

A: Addition & S: Subtraction

:End

*Multiplication and Division are grouped together because they are on the same level, you decide which to do first depending on which comes first in the equation. The same applies for addition and subtraction.

So:

first thing we can look is the parenthesis, but before we can solve the whole thing we must notice the exponent only on the four. Since it is inside the parenthesis we must solve it first.

1. 4^2 = 16

now we will solve the addition inside the parenthesis

2. 16-13 = 3

now lets continue with pemdas, no more parenthesis so we tackle exponents

3. 5^2 = 25

Lets rewrite our equation with the changes we have made

8 × 3 ÷ 3 + 25 + 4 × 3

Now we solve multiplication and division

Equations is worked left to right, like english is read, so we will start on the left side and continue to the right, only solving multiplication and division.

4. 8 x 3 = 24

5. 24 ÷ 3 = 8

6. 4 x 3 = 12

new equation: 8 + 25 + 12

now we can use addition and subtraction (no subtraction luckily!)

7. 8 + 25 = 33

8. 33 + 12 = 45

The point (3, 82) on the graph represents after Terry's hours his bank balance will be $82.

Given that, Terry brings home $14 per hour he works. When he started this job, he had $40 in the bank.

We need to write and graph the equation that would represent how much money Terry has in the bank (y) after x hours of work.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, y=40+14x

Graph the line using the slope and y-intercept, or two points.

Slope: 14

y-intercept: (0, 40)

The coordinates to plot the graph are (0, 40), (1, 54), (2, 68) and (3, 82).

The graph for the given equation is given below.

Therefore, the point (3, 82) on the graph represents after Terry's hours his bank balance will be $82.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

Unknown

Step-by-step explanation:

Hi! so you didn't add the ordered pair options but I will do my best :) so if you see the ordered pair (0.7) that could definitely be a solution because using the slope intercept form equation you gave I know that's our y Intercept. the slope is 4/1 so moving up 4 and to the right 1 or down 4 and to the left 1 on a graph could show you more points! If you don't want to draw it you could use Desmos and just put this equation in or give me the ordered pairs and I will give you your answer!

hope this helps :)

Answer:

9

Step-by-step explanation:

The opposite sides of a parallelogram are congruent.

Answer:

9

Step-by-step explanation:

Parallel sides are always equal. :)

The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.

Probability refers to a possibility that deals with the occurrence of random events.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ1

Answer:

Is the question even complete ?

Step-by-step explanation:

The number of girls are significantly low.

Probability is the study of likeliness of an event to happen.

It is given that

900 births are randomly selected

The probability of birth of a boy or a girl is 1/2 = 0.5

Total chances of a girl is 900 * 0.5 = 450

The birth of girl observed is 4

Therefore the number of girls are significantly low.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

From the information given, the cost of sales is $65,000. See the explanation below.

Add your initial inventory to the purchases made over the time period, remove that amount from your ending inventory, and that is your cost of sales.

Cost of Sales = (Bi + P) - Ei

Where Bi is Beginning Inventory

P is Purchases; and

Ei is Ending Inventory.

Beginning Inventory = 8,000

(add)          Purchase = 70,000

Bi + P                          = 78,000

Ending Inventory  = 13,000

Cost of sales = 78,000 - 13,000

= $65,000

Learn more about cost of sales at;
https://brainly.com/question/24561653
#SPJ1

(a) X ≈ N (0.10 , 0.02²)

(b) The probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 11% is 31%.

(c) The 60th percentile is 11%.

A. X ~ N( , )  

B. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 11%.

C. Find the 60th percentile for this distribution.

According to the question,

The random variable X is defined as the THC content for a bag of marijuana that is sold on the street.

(a)The random variable X is Normally distributed with mean, μ = 0.10 and standard deviation, σ = 0.02.

Therefore, X ≈ N (0.10 , 0.02²)

(b) The value of P (X > 0.11) as follows:

P (X > o.11_ = P(X -μ/a > [tex]\frac{0.11-0.10}{0.02} \\[/tex])

= P(Z > 0.50)

= 1 -P (Z <0.50)

= 1- 0.69146

= 0.30854 ≈ 0.31

Hence,

the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 11% is 31%.

(c)Let x represent the 60th percentile value.

Then, P (X < x) = 0.60.

⇒ P (Z < z) = 0.60

The value of z is,

z = 0.26.

Now put the value of x as follows:

z = x - μσ

0.26 = x - 0.100.02

x = 0.10+ ( 0.26 x 0.02)

x = 0.1052

x ≈ 0.11

Therefore,

The 60th percentile is 11%

Learn more about Probability here:

https://brainly.com/question/23345093

#SPJ1

Answer:

D. The graph of g(x) is shifted 3 units right and 4 units down.

Step-by-step explanation:

The graph of g(x) is shifted 3 units right and 4 units down

Answer:

Statement 1 is correct

Angles UST and QSR are complementary.

Step-by-step explanation:

Complementary angles are those angles whose addition gives result of 90°

Congruent angles are those angles which are equal to each other.we can say that there values are same.

Here angle RSU is complementary to angle UST.

Therefore there addition is equal to 90°

∠RSU + ∠UST =  90° - (i)

Here angle QSR is congruent to angle RSU.

It means ∠QSR =∠RSU -(ii)

From equation (i) and (ii)

∠QSR + ∠UST =  90°

So angles UST and QSR are complimentary angles.

Learn more about complimentary angles here -https://brainly.in/question/35749822

#SPJ10

Answer: A. They are complementary.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

Step-by-step explanation:

let a be first term and r be c.r.

a_{n}=ar^{n-1}

a_{4}=ar^{4-1}=ar^3=135

a_{6}=ar^{6-1}=ar^5=1215a_{4}=1215 \times 135

divide

r^2=1215

r=√1215=35

a_{n}=35 a_{n-1}

We know that cos2x=cos²x-sin²x

=cos²x-(1-cos²x)         [since, cos²x+sin²x=1]

=cos²x-1+cos²x

=2cos²x-1

So, cos2x=2cos²x-1

Hence, cos²x= (1+cos2x)/2

Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for every value of variables occurring on both sides of an equation. Geometrically, these identities involve certain trigonometric functions (such as sine, cosine, tangent) of one or more angles.

Most common trigonometric identities are:

- cos²x + sin²x = 1

- sec²x - tan²x = 1

- cosec²x - cot²x = 1

- cos2x = cos²x - sin²x

Therefore we get that the statement cos² x = (1 - cos 2x)/2 is false.

Learn more about trigonometric identities here-

brainly.com/question/12537661

#SPJ10

Using the binomial distribution, it is found that the probabilities are given as follows:

a) 0.2036 = 20.36%.

b) 0.0011 = 0.11%.

The formula is:

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

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

The parameters are:

The values of the parameters are given as follows:

p = 0.95, n = 5.

Item a:

The probability is P(X = 4), hence:

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

[tex]P(X = 4) = C_{5,4}.(0.95)^{4}.(0.05)^{1} = 0.2036[/tex]

Item b:

The probability is P(X < 3), hence:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

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

[tex]P(X = 0) = C_{5,0}.(0.95)^{0}.(0.05)^{5} \approx 0[/tex]

[tex]P(X = 1) = C_{5,1}.(0.95)^{1}.(0.05)^{4} \approx 0[/tex]

[tex]P(X = 2) = C_{5,2}.(0.95)^{2}.(0.05)^{3} = 0.0011[/tex]

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0.0011 = 0.0011.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Answer:

log x to the base 2 +log x to the base 4 =2

or log x/ log 2+ log x /lig 4 =2

or log x /log2 + log x /2.log 2 = 2

or log x/log 2(1+1/2)= 2

or log x/log 2 = 4/3

or 3.log x =4.log2

or logx^3=log 2^4

or x^3= 2^4

or x =(2)^4/3 or 2.(2)^1/3 ,Answer.

hope this helps

Step-by-step explanation:

The statement "Grouped data is a data that has not been organized into intervals" is false.

Data presented in class intervals, such as 0-20, 20-40, and so on, is referred to as "grouped data."

Ungrouped data is information presented as individual values or integers, such as 15, 63, 34, 20, 25, and so on.

Assume we have a set of data with values between 0 and 50, such as 2, 17, 0, 1, 8, 19, 43, 2, 1, 32, and so on. In this situation, we may divide the data into categories like 0-10, 10-20,...,40-50. The data in this case are simply grouped.

Hence, the statement "Grouped data is a data that has not been organized into intervals" is false.

Learn more about grouped data here-

brainly.com/question/6759188

#SPJ10

The conclusion about the relationship is

The complete question is:

Consider the function f(x) = 3x and a translation of f(x) named g(x). Janeen created a table for select values of x. Her table is shown below. What can be concluded about the relationship between the two functions? Check all that apply.

The functions have the same base.

The functions have the same range.

The functions have the same exponent.

The functions have the same domain.

g(x) is a translation left 1 unit.

g(x) is a translation right 2 units.

g(x) is a translation up 2 units.

Given function is:

f(x) = [tex]3^{x}[/tex]

g(x) = [tex]3^{x+1}[/tex]

Firstly, the functions have the same base i.e., base 3.

second, the functions have the same range.

As the range of f are all the values that f can assume. i.e., positive numbers and the range of g are all the values that g can assume. i.e., positive numbers.

third, both functions have the same domain as x = {0,1,2,3}.

Fourth, g(x) = f(x+1). So, g(x) is a translation left 1 unit.

Learn more about this concept here:

https://brainly.com/question/12612621

#SPJ1

The result follows from the fundamental theorem of calculus.

[tex]\displaystyle \int_a^b f(x) \, dx = F(b) - F(a) = 2022 - 10 = \boxed{2012}[/tex]

According to law of cosines if the lengths of triangle are 12,11,6 then the angle will be 114=157-132cos(Y)

Given the length of XZ is 12, length of YZ is 11 and the length of YX=6.

According to law of cosines the angle of a triangle when the length of sides are given can be written as:

[tex]c^{2} =a^{2} +b^{2} -2abcosd[/tex]

where c is the side opposite to the angle which we have to find and a and b are the rest sides.

We have to put the values of sides in the above law:

[tex]12^{2} =6^{2} +11^{2} -2*6*11cosY[/tex]

144=36+121-132 cos Y.

Hence the angle can be written as 144=36+121-132 cos Y.

Learn more about trigonometric functions at https://brainly.com/question/24349828

#SPJ10

Answer: 1, -2, 1

Step-by-step explanation:

[tex]f(g(x))=f(x-1)=(x-1)^{2}=x^{2}-2x+1[/tex]