- 1/2 (-3/2x + 6x +1) -3

Answers

Answer 1

-1/2(-3/2x + 6x + 1) - 3

Simplify.

(3/4x - 3x - 1/2) - 3

Get rid of the parenthesis.

3/4x - 3x - 1/2 - 3

Add like terms.

(3/4x - 3x) + (-1/2 - 3)

Simplify.

-2 1/4x + (-3 1/2)

Get rid of the parenthesis.

-2 1/4x - 3 1/2

Hope I helped! :)

Related Questions

I don't get why price(max)=$80
Can someone help me

Answers

check the picture below.

as a matter of elasticity, if you sell 100 popsicles for $1, you get a revenue of $100.

However, if your price goes to $5 per popsicle, then folks will begin to find it too expensive and won't be buying 100, but just 15, so, even though $5 is a higher price, 5 * 15 is a much smaller revenue than 1 * 100.

A new iPhone user receives an average of 4.2 phone calls per hour. The calls occur randomly in time so if X = the number of calls received in an hour, then we can assume that X has a Poisson distribution with parameter λ = 4.2. Let Y = the number of phone calls received in a day. Assume all necessary independence in the following.
a. Y also has a Poisson distribution. What is the λ for Y?

b. What is the standard deviation of X?

c. What is the standard deviation of Y?

d. What is the probability that no calls are received in an hour?

e. What is the probability that more than 120 calls are received in a day?

f. What is the probability that Y is between 90 and 110 inclusive? (i.e. 90 ≤ Y≤110)

g. What is the variance of square root of 2Y?

h. Assume this distribution holds for all hours and days and that one call is independent from another. What is the probability that 120 or fewer calls are received for every day of this week? (Assume appropriate independence

Add any comments below.

Answers

Part A:

Given that Y is the number of phone calls received in a day and that a new iPhone user receives an average of 4.2 phone calls per hour.

Thus, the average number of phone calls received in a day is 4.2 * 24 = 100.8

Therefore, the λ for Y is 100.8

Part B:

The standard deviation of a Poisson distribution is given by

[tex]\sigma=\sqrt{\lambda}[/tex]

Thus, the standard deviation of X is given by

[tex]\sigma=\sqrt{4.2}=2.05[/tex]

Therefore, the standard deviation of X is 2.05.

Part C:

The standard deviation of Y is given by

[tex]\sigma=\sqrt{100.8}=10.04[/tex]

Therefore, the standard deviation of X is 10.04.

Part D:

The probability of a Poisson distribution is given by

[tex]P(X=x)=e^{-\lambda} \frac{\lambda^x}{x!} [/tex]

where, x is the number of occurence of the event in the given period.

Thus, the probability that no calls are received in an hour is given by

[tex]P(X=0)=e^{-4.2} \frac{(4.2)^0}{0!} =0.015[/tex]

Therefore, the probability that no calls are received in an hour is 0.015

Part E:

We approximate the Poisson distribution using Normal distribution by noting that for a Poisson distribution

[tex]\mu=\lambda \\ \\ \sigma^2=\lambda \\ \\ \sigma=\sqrt{\lambda}[/tex]

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that more than 120 calls are received in a day is given by

[tex]P(X\ \textgreater \ 120)=1-P(X\leq120) \\ \\ =1-P\left(z\leq \frac{120-100.8}{10.04} \right)=1-P(z\leq1.912) \\ \\ =1-0.97208=0.0279[/tex]

Therefore, the probability that more than 120 calls are received in a day is 0.0279

Part F:

We also approximate this using Normal distribution

The probability of a normal distribution between two value (a, b) is given by

[tex]P(a\ \textless \ X\ \textless \ b)=P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, the probability that Y is between 90 and 110 inclusive is given by

[tex]P(90\leq X\leq 110)=P\left(z\leq \ \frac{110-100.8}{10.04} \right)-P\left(z\leq \frac{90-100.8}{10.04} \right) \\ \\ =P(z\leq0.916)-P(-1.076)=0.82025-0.14103=0.67922[/tex]

Therefore, the probability that Y is between 90 and 110 is 0.67922

Part G:

The variance of aY is given by

[tex]Var(aY)=a^2Var(Y)[/tex]

Thus, the variance of [tex] \sqrt{2} Y[/tex] is given by

[tex]Var( \sqrt{2} Y)=( \sqrt{2} )^2Var(Y)=2(100.8)=201.6[/tex]

Therefore, the variance of [tex] \sqrt{2} Y[/tex] is 201.6

Part H:

We approximate this using Normal distribution

The probability of a normal distribution is given by

[tex]P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)[/tex]

Thus, the probability that 120 or fewer calls are received in a day is given by

[tex]P(X\leq120)=P\left(z\leq \frac{120-100.8}{10.04} \right) \\ \\ =P(z\leq1.912)=0.97208[/tex]

Since, this distribution holds for all hours and days and one call is independent from another. Assuming that there are seven days in a week.

The probability that 120 or fewer calls are received for every day of this week is given by

[tex](0.97208)^7=0.8202[/tex]

Therefore, the probability that 120 or fewer calls are received for every day of this week is 0.8202

Sampling is ordinarily used when the number of items comprising the population is relatively small.

Answers

I believe this statement is false, and that sampling is used when the number of items in a population are fairly large. One would use a sample to represent some form of measurement or test so that it can be applied to the larger number of same objects.

2x^5+12x^4+16x^3-12x^2-18x=0

Answers

[tex]2x^5+12x^4+16x^3-12x^2-18x=0 [/tex]

Jennifer's grandmother buys carrots at the farm stand. She and her 3 grandchildren equally share the carrots. The total weight of the carrots she bought is 28 kilograms. How many kilograms of carrots will Jennifer get ?

Answers

since they share it equally
28/4=7

The fourth grade collected 40,583 cans and plastic bottles. Write the number in word form?

Answers

fourty-thousand,five-hundred eighty-three

Answer is 'Forty thousand, five hundred eighty-three'.

When we write numbers in word form, we express each digit's value in words. In the number 40,583, we have:

"Forty" represents the digit 4 in the ten thousands place.

"Five hundred" represents the digit 5 in the hundreds place.

"Eighty" represents the digit 8 in the tens place.

"Three" represents the digit 3 in the ones place.

What is the number 0.093 expressed in Scientific notation?
A. 9.3 * 10^2
B. 0.93 * 10^1
C. 9.3 * 10^-3
D. 9.3 * 10^-2

Answers

0.093 expressed in Scientific
=
9.3 x 10^-2

answer
D. 9.3 * 10^-2

Option D is correct. 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex].

To express the number 0.093 in scientific notation, we need to determine the coefficient and exponent.

0.093 can be written as 9.3 multiplied by a power of 10.

Since 0.093 is less than 1, the exponent should be negative.

To shift the decimal point to the right to form the original number, we move it three places to the right:

[tex]0.093 \rightarrow 9.3 \times 10^{-2}[/tex]

Therefore, 0.093 can be expressed in scientific notation as [tex]9.3 \times 10^{-2}[/tex], option D is correct.

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Stuck on this question. Any help would be appreciated.

Answers

Solving the 2nd equation for r results in
10-2h
r = --------------
5
(10-2h)^2
Then r^2 = ----------------
25

Substitute this r and this r^2 into the first equation and simplify. This will result in a formula for V as a function of h (V in terms of h).

For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0

Answers

The Variance is [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].

What is Variance?

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Given:

E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]

= [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]

For the variance, if μ is the mean, then

Var(x) = E( x- μ)²

= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]

Learn more about variance here:

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The price of one share of a stock fell $12.50 each day for 8 days. Which expression represents this situation?

Answers

12.50 x 8 = 100 This is the answer

" $12.50 x 8 " is an expression to use.

Simplify 3 + c (8n + 4) + 9n

A. 49n + 20
B. 3+33n
C. 25n + 11
D. 19n + 7

Answers

c is the answer to your question

Well first you need to distribute the (c) to the 8n+4. So then you you would get 8nc+4c+9n+3. Not unless that (c) is suppose to be a number.

if today is wednsday what day will it be in 100 days and why

Answers

the day would be friday because there are 7 days in a week and in fourteen weeks on wednesday would be 98 days so add two more days which would be friday which is also 100 days

Bonswa. How are you today?

We know that every week (every seven days) it will be Wednesday if today is Wednesday. So, how may weeks are in 100 days? 14. Why? Because 14(7) = 98. So, in order to get to 100 we must add 2. So what is Wednesday plus two more days? Friday. So if today is Wednesday it will be Friday in 100 days. Why? Well, that's how our calendar is set up.

what square root lies between 17 and 18

Answers

easy
if x is the number
sqrt x is between 17 and 18

17<√x<18
squaer the whole thing
289x could be 300
it could be sqrt of 300
√300=10√3

one is 10√3

Suppose △DEF≅△MNO.
Which congruency statement is true?

A) DF≅NO
B) DE≅MN
C) EF≅MN
D) EF≅MO

Answers

the answer is b. would u like to see steps or are you good?

Final answer:

When triangles are congruent, their corresponding sides and angles are the same. Hence in congruent triangles △DEF and △MNO, side DF is congruent to side MN, thus option B) DE≅MN is the correct answer.

Explanation:

In the case of congruent triangles, the corresponding sides and angles are essentially the same. Therefore, we must match up the corresponding sides. A correct statement would be that side DF, from the first triangle, is congruent to side MN, from the second triangle. Hence the correct option is B) DE≅MN.

Additionally, DE would be congruent to MN, and EF would be congruent to NO, completing the congruence between triangles △DEF and △MNO.

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A problem states
there are 5 more girls than boys and girls there are 27 students in the class in all How many boys are in the class
What are the unknowns in this problem

A Number of students in the class
B The number of boys in the class
C The number of girls in class
D The number of boys and the number of girls in class

Answers

the problem only stats there are 27 students and that there are 5 more girls than boys

it does not say how many boys or how many girls there are so D should be the answer

Y=2x^2-x-10 write in intercept form

Answers

y-intercept: Let x = 0 and solve for y. Then y =2(0)^2 -(0) - 10 = -10. The y-intercept is (0,-1).

x-intercept: Let y = 0 and solve for x.
Then 0 = 2x^2 - x - 10. a=2, b= -1 and c = -10.
-(-1) plus or minus sqrt[ (-1)^2 - 4(2)(-10)
Then x = ------------------------------------------------------------
2(2)
1 plus or minus sqrt(81) 1 plus or minus 9
x = ----------------------------------- = ---------------------------
4 4

Calculate the 2 x-values. Let's call them "a" and "b." Then the x-intercepts (there are 2) are

(a, 0) and (b, 0)

The ordered pair (2, 1) is a solution of a direct variation equation. Write the equation and identify the constant of variation.

Answers

A direct variation equation takes the form "b = ka," where the k is the constant of variation. In this case, 1 (b) is one-half as large as 2 (a), so the constant will be 0.5. This would allow the equation to be written as "b = 0.5a," and the constant of variation in this equation is 0.5.

The table shows the steps for solving the given inequality for x.

−3(4−6x)
Select the reason for each step from the drop-down menus.

Answers

step        justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5                 distributive property (to solve the left side)

-12 + 17x < 5                        subtraction property of equality (to transpose x
                                             from right to left side)

                                              subtraction of like terms (18x - x = 17x)

17x < 17                                addition property of equality (to tranpose - 12
                                              from left to right side)

                                              addition of like terms (12 + 5 =17)

x < 1                                  division property of equality

Answer:step justification

- 3 (4 - 6x) < x + 5

- 12 + 18x < x + 5 distributive property (to solve the left side)

-12 + 17x < 5 subtraction property of equality (to transpose x

from right to left side)

subtraction of like terms (18x - x = 17x)

17x < 17 addition property of equality (to tranpose - 12

from left to right side)

addition of like terms (12 + 5 =17)

x < 1 division property of equality

Step-by-step explanation:

Point P is reflected across two lines. Point A is its reflection image. Which two lines is point P reflected across?

x = 3 and y = 2

x = -2 and y = 2

x = 3 and y = -3

x = -2 and y = -3

Answers

the correct answer would be x=3 and y=2

Answer: The two lines are x = -2 and y = 2.

Step-by-step explanation: Given that the point P on the co-ordinate plane is reflected across two lines and A is its image after the reflection.

We are to find the two lines across which the point P is reflected.

The co-ordinates of point P are (0, 0) and the co-ordinates of its image A after reflection from two lines are (-4, 4).

From the given figure, we can note that

the first line of reflection is y = 2. Point C(0, 4) is the image after reflection from first line.

The second line of reflection is x = -2. Point A(-4,4) is the final image after second reflection.

Thus, the two lines are x = -2 and y = 2.

On the blueprint of a house, 48 millimeters represents 7 meters. the length of the living room is 60 millimeters on the blueprint, what is the actual length of the living room?

Answers

[tex]\bf \begin{array}{ccll} \stackrel{blueprint}{mms}&\stackrel{actual}{meters}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 48&7\\ 60&x \end{array}\implies \cfrac{48}{60}=\cfrac{7}{x}\implies x=\cfrac{60\cdot 7}{48}[/tex]

Can someone please solve this?

Answers

multiplicity of a root means, is there that many times.

[tex]\bf \begin{cases} x=3\implies &x-3=0\\ x=2\implies &\begin{cases} x-2=0\\ x-2=0\\ x-2=0 \end{cases} \end{cases} \\\\\\ (x-3)(x-2)~~(x-2)(x-2)=\textit{original polynomial} \\\\\\ (x^2-5x+6)~~(x^2-4x+4)=y \\\\\\ x^4-4x^3+4x^2-5x^3+20x^2-20x+6x^2-24x+24=y \\\\\\ 1x^4-9x^3+30x^2-44x+24=y[/tex]

Find the maximum and minimum values of the function.
y=7cosx

Answers

The Maximum and Minimum can not be determined on this problem because it isn't a quadratic function. Graphed, the highest point is 7 and lowest is -7 in a repeated mountain shape. Hope this helps.

The range of cos x is -1 to + 1

So maximum of 7 cos x = 7 and minimum is -7.

the sum of 2 3/5 + (-1/5) write in simplest form

Answers

The answer is 2 2/5. Need an explanation

2 2/5 that’s the answer

tep 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________

Answers

Step 4: 3>x. (The sign flips because you divided a negative)
I hope this helps love! :)

What is the solution set of the equation
X^2+3x-4=6

Answers

Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation bAnswer:

Step-by-step explanation:Two solutions were found : x = 5; x = -2. Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". Rearrange: Rearrange the equation b

Verify the identity Cotx/tanx+cotx = 1-sin^2x

Answers

[tex]\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\\\ tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\\\\ -------------------------------\\\\ \cfrac{cot(x)}{tan(x)+cot(x)}=1-sin^2(x) \\\\\\ \textit{doing the left-side}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin(x)}{cos(x)}+\frac{cos(x)}{sin(x)}}\implies \cfrac{\frac{cos(x)}{sin(x)}}{\frac{sin^2(x)+cos^2(x)}{cos(x)sin(x)}}[/tex]

[tex]\bf \cfrac{\frac{cos(x)}{sin(x)}}{\frac{1}{cos(x)sin(x)}}\implies \cfrac{cos(x)}{\underline{sin(x)}}\cdot \cfrac{cos(x)\underline{sin(x)}}{1}\implies cos^2(x)\implies 1-sin^2(x)[/tex]

Mia's cat weighs 13 pounds, 7 ounces
About how many kilograms is this

Answers

Mias cat weighs about 6 kg

Her cat is About 6 kg :)

If each weighs 2/3 pound, how many potatoes are there in a 50-pound case?

Answers

The number of potatoes that are there in a 50-pound case are 75 potatoes.

In Mathematics and Euclidean Geometry, an expression simply refers to a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Since each potato weighs 2/3 pound, the number of potatoes that are there in a 50-pound case can be modeled by the following expression;

Number of potatoes = 50 ÷ 2/3

Number of potatoes = 50 × 3/2

Number of potatoes = 150/2

Number of potatoes = 75 potatoes.

Write the equation for the following relation. Include all of your work in your final answer. Submit your solution. P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}

Answers

First, we will notice that while the value of x increases by 1, the corresponding value of y increases by 4. This means that this is a linear relation.

The general equation for linear equations is : y = mx + c where m is the slope and c is the y-intercept

To get the slope, we will need to use two points. Let's take the first and the last points: (1,0) and (4,12)
The slope is calculated as: (y2-y1) / (x2-x1)
Use the chosen points to substitute in the equation and get the slope as follows:
m = (12-0) / (4-1) = 12/3 = 4

Now, the equation of the line became: y = 4x + c

The given points all satisfy the equation of the line, we can use any of them to substitute in the equation and get the value of c.
For instance, I will use the first point: (1,0)
y = 4x + c
0 = 4(1) + c
c = -4

The equation of the line is:
y = 4x - 4

Given four int values x1, x2, y1, y2 write the code to compute the distance between the two point

Answers

In which language?
Please tell me the language java, c++, cetc?

Other Questions

Q.17Select the correct numerical form of this number written in scientific notation.1.2 10^40.00012120,00012,0001,200 What impact did capitalism have on the Great Depression? When spread out and viewed with electron microscopy, an active rrna gene looks like a? where was most of the rice grown in royal georgia?A. on family farms near savannahB. on plantation farms near the coastC. on middle sized farms in the black countryD. in corporate farms near augusta Read the excerpt from "Harrison Bergeron." The year was 2081, and everybody was finally equal. They werent only equal before God and the law. They were equal every which way. Nobody was smarter than anybody else. Nobody was better looking than anybody else. Nobody was stronger or quicker than anybody else. All this equality was due to the 211th, 212th, and 213th Amendments to the Constitution, and to the unceasing vigilance of agents of the United States Handicapper General. The author is describing a society that is Solve for x: 3 over 4 x + 5 over 8 = 4x. . x = __________________ Write your answer as a fraction in simplest form. Use the \"/\" symbol for the fraction bar 3/2 = 9/ 10 k Ughhh. Help??? A farmer wants to buy a new farm. The first farm he looks at has soil that is made up of light-colored sand. The second farm he looks at has fields of red clay. Finally, the third farm he looks at has soil of black loam. Which farm should the farmer buy if he wants to choose the one that will be the best for growing crops? A) farm with red clay B) farm with black clay C) farm with sandy soil D) farm with black loam Which of the following best identifies the key events of the Nullification Crisis? A person who leaves her job of twenty years to retire is undergoing what process? What region became a crossroads where farmers, traders, and invaders settled, traded, and exchange ideas HELP PLEASESolve the system by substitution-4.5x - 2y = -12.53.25x - y = -0.75 Which is true about making contributions to a 401(k) account? an office has an area 120 square meters and a width of 12 meters write an equation to represent the area A customer wants you to enlarge a photo to 2 3/4 its current height. The photos current height is 3 1/4 inches. What should its enlarged height be, in inches? Do you think Adam smith supported industrialization An acute triangle has sides measuring 10cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle? A multivitamin tablet contains 0.16g of vitamin C. How much vitamin C does a bottle of 60 tablets contain? two pumps of different sizes, working together, can empty a fuel tank in 3 hours. the larger pump can empty the tank in 4 hours less than the smaller one. if the larger pump is not working, how long will it take the smaller pump to do the job alone? A european outlet supplies 220 v (rms) at 50 hz. how many times per second is the magnitude of the voltage equal to 220 v Steam Workshop Downloader