Select the correct answer.
Find the inverse of function f.

Answer:

The length and width of rectangle are 90 feet and 22.5 feet.

Step-by-step explanation:

Let the,

Now, according to the question substituting all the given values in the formula to find the value of x :

\( \longrightarrow{\pmb{\sf{P = 2(L + W)}}}\)

\( \longrightarrow{\sf{P = 2(L + W)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(x + \dfrac{x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{4x + x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{5x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \times \dfrac{5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{2 \times 5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{10x}{4}}}\)

\( \longrightarrow{\sf{10x = 225 \times 4}}\)

\( \longrightarrow{\sf{10x = 900}}\)

\( \longrightarrow{\sf{x = \dfrac{900}{10}}}\)

\(\longrightarrow{\sf{\underline{\underline{x = 90}}}}\)

Hence, the value of x is 90.

Now, we know the value of x. So, calculating the length and width of rectangle :

\(\rule{300}{2.5}\)

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

For n independent Bernoulli's trial , with probability of success as "p" then , the

(a) probability of no failure is ⇒ pⁿ ,

(b) at least one failure is ⇒ 1 - pⁿ  ,

(c) at most one failure is ⇒ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ,

(d) at least two failure is ⇒ 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]  .

In the question ,

it is given that ,

number of Bernoulli's trials is = "n"  ;

the probability of success is ⇒ p ;

Part (a)

the probability of No Failure is equivalent to probability of all success .

= pⁿ .

Part(b)

The probability of at least one failure can be written as

= 1 - (probability of all success)

= 1 - pⁿ

Part(c)

the required probability of at most one failure is =

= probability of "No Failure" \(+\) probability of "One Failure"

= ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹

= pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)

Part(d)

the probability of at least two failure is =

= 1 - probability of "at most one failure"     ...substituting from part(c)  

= 1 - [ ⁿCₙpⁿ(1-p)⁰ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)¹ ]

= 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]

Therefore , the required probabilities are (a) pⁿ  ,

(b) 1 - pⁿ  ,

(c) pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p)  and  

(d) 1 - [ pⁿ + ⁿCₙ₋₁.pⁿ⁻¹(1-p) ]   .

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Answer:

6

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots. These can be real, complex or both.

f(x) = 2\(x^{6}\) - 3x³ + 1 - 2\(x^{5}\) ← is a polynomial of degree 6

Thus the maximum number of real roots is 6

Answer:

c = 12.75n + 12

c = 15.75n

Step-by-step explanation:

Let

c = total​ cost of the ticket

n = number of people buying tickets

Buying tickets online

c = 12.75n + 12

Buying from the box office

c = 15.75n

This can be represented by the system of equation:

c = 12.75n + 12

c = 15.75n

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The probability that more than 20% of the sample are from poverty households is approximately 0.8365.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.

Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.

The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.

We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).

To use the normal approximation, we can standardize X as follows:

Z = (X - μ) / σ

Then, we have:

P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)

Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.

Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.

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The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Question: 3ax-2a=x (solve for x)

_________________________________________

 So step 1: Subtract 3ax from both side

3ax-2a=x

-3ax. -3ax

_________________

Now you're left with -2=x-3ax

step 2:Factor out the common term x

−2a=x(1−3a)

  step 3: Divide both sides by 1-3a1−3a.

−2a/1-3a = x

Switch sides... the end

Explanation:

if you want a clearer view of what I just did above here's an attached image below :)

I hope this helps :)

Ahhh, the graph! Such an interesting thing. I think I can help you...

The answer is B - (3, -4).

My explanation is this.

In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)

If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.

But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.

Therefore the answer (3, -4)

I hope this answers your question.

-Toremi

Answer: Reflect accross the gradient x=4

Step-by-step explanation: Make sure one of the lines or whatever you are drawing is touching or passing thorugh the gradient x = 4

Answer: addition

Step-by-step explanation:

Answer: that is a vertical angle

Step-by-step explanation:

whenever you see an odd shape like x it will always be vertical

angle at a straight line is =180

4+5+x=180

let x be angle at the tower

9+x=180

x=180-9

x=171°

and x is divide in to two then is 2x

there for

2x=171°

x=171/2

x=85.5°

then sin85.5°= 90/y

let y be the unknown feet

0.9969=90/y

y0.9969=90

y=90/0.9969

y=90.3ft.

⠀

1. Here,

⠀

\( \sf \longrightarrow x + 45^\circ = 180^\circ \) ( Linear pair of angles measure upto 180° )

⠀

Thus,

⠀

\( \sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\ \)

⠀

Now, for y,

⠀

\( \sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star \) ( Vertically Opposite Angles)

⠀

\( \underline{\rule{230pt}{2pt}} \)

⠀

y=-2x+4

y=-8x-6

y=3x+5

y=x-10

y=4x-4

Step-by-step explanation:

these questions require a series of equations in order to solve but if you are asking for them to be rearranged

The value of x is  2/9

Given equation x +2/3 = 8/9

We need to find the value of x

Simplifying the equation is

x+2/3 = 8/9

x = 8/9 -2/3

Taking L.C.M of the denominators 3 and 9

The L.C.M is 9

So we will multiply the numerator and denominator with 1 in 8/9

And we will multiply the numerator and denominator with 3 in 2/3

Hence the new equation formed = 8/9-6/9

Solving this equation we get

8-6 / 9

= 2 / 9

Hence the value of x is 2/9

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Answer:

With respect to air, the refractive indices of water and benzene are 1.33 and 1.50 respectively

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

y=2x

Step-by-step explanation:

hope this helps

:) :3

Answer:

5

Step-by-step explanation:

Answer:

Not accomplishable.

Step-by-step explanation:

Could you please stucture this question more simply. This partly doesn't make sense, unless I am wrong.

Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Essay Submission

Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)

Part B: Thats How I got my quotient by dividing 48 and 6

I think this if what you are looking for.

hope it helps.

can you explain

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y= 4x+?

points on the graph

(-1, -3) and (1, 5)

-3= -1*4+?

5= 1*4 +?

Verified by second point

Answer: B

Population: All parents with students at the school

Sample: All parents who respond to the survey

Possible Bias: Parents who are at home between 4:00 and 5:00 P.M. may not be representative of the whole population.

If you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test. This statement is True.

What is partial F-test?

A partial F-test is used to determine whether or not there is a statistically significant difference between a regression model and some nested version of the same model.

A nested model is simply one that contains a subset of the predictor variables in the overall regression model.

Partial F-test is a statistical analysis used in multivariate linear regression to determine independent variables are to be considered when fitting a multivariate linear regression mode.

This is necessary because if too many variables are considered, then the model would be too complex. On the other hand, if too few variables are used, then we may get a very weak fit.

Hence if you have more than one quadratic predictor in your model, you can test them all at the same time using the partial F-test.

The given statement is true.

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Answer:16.

Step-by-step explanation: We will call the length of the shorter piece x.

The other side will now be 22 - x.

One piece is 4 cm longer than twice the length of the shorter piece, so 4 + 2x.

Then we have: 22 - x = 2x + 4.

Now just solve for x!

22 - x = 2x + 4

18 = 3x

6 = x, which is the shorter piece.

As before, 22 - x is the longer piece, and since we have x, just plug in for x.

22 - 6 = 16.

Answer:

in my knowledge I think 13

we know the turtle is half as old as her parrot

so if we divide 10 by 3/4 we can get how old the turtle is

When rolling a fair die 100 times the probability of rolling a 4 exactly 25 times is 0.01.

Therefore, the answer is 0.01.

Let us solve this by using Binomial probability distribution. Let us consider getting 4 as a successful trial when rolling a die. The possible number of outcomes when rolling a fair die is 6. The probability of getting 4 when rolling a die is p = 1/ 6 = 0.167.

The total number of trial is 100 and the number of successful trial is 25. The probability of rolling a 4 exactly 25 times can be obtained by

P = nCx × p^{x} × (1 - p)^{n - x}

P = 100C25 × 0.167^{25} × (1 - 0.167)^{100 - 25}

P = 100!/ (25! × (100 -25)!) × 0.167²⁵ × 0.833⁷⁵

P = 0.01

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Answer:

45

Step-by-step explanation: Find what 80% of 25 is, you can do this by dividing 25 by 100. Then multiply the output by 80. Add that output to 25 and you should get an answer of 45.