7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAssume that is Normal with mean $ 240 and standard deviation $60. the probability that in a randomly selected week, Dan will make less than $255 is :
A. 0.6
B. 0.7
C. 0.8
D.0.9
E. 1

Answers

Answer 1

Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

Let x = 255

First of all, we will find the z-score of the given value

[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]

Now the z-score table will be used to see the probability of less than 0.25

Using the z-score table, we get:

P(x<0.25) = 0.5987

As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point

0.5987 => 0.6

Hence,

Option A. 0.6 is the right answer.


Related Questions

The diagram below shows the start and finish diagrams of a construction using a compass and straightedge.
Start
Finish
G
Which of the following statements are true about this construction? Select all that apply.
G
O
O
O
O
O
The construction is of a line perpendicular to FG from a point not on FG
The first step of the construction is to draw a circle with center X.
The first step of the construction is to draw the perpendicular bisector of wY
The second step of the construction is to draw the perpendicular bisector of FG.
The second step of the construction is to draw the perpendicular bisector of VwY.q

Answers

Answer:

Choices 1, 2, 4

Step-by-step explanation:

i took the test

Solve the formula Ax+By = C for A.
O A A+
+ By
O B. A=C-BY
x
O C. A = C+By
O D. A = C-BY
X

Answers

Answer:

[tex]A = \frac{C - By}{x}[/tex]

Step-by-step explanation:

Given

[tex]Ax + By = C[/tex]

Required

Solve for A

The question implies that we make A the subject of the formula.

Start by subtracting By from both sides of the equation by x

[tex]Ax + By - By= C - By[/tex]

[tex]Ax = C - By[/tex]

Divide both sides by x

[tex]\frac{Ax}{x} = \frac{C - By}{x}[/tex]

[tex]A = \frac{C - By}{x}[/tex]

Solved

I tried to answer this one and got it wrong the question is “find the measure of each angle indicates”

Answers

Answer:

48

Step-by-step explanation:

Hi!

Remember, the sum of the angles on a straight angle is 180 degrees. Additionally, the sum of the measures of a triangle are 180 degrees.

Now, let's label the angles of the given triangle.

<DCE = y and <CDE=x

x+y+92=180

x+y= 88

Now, y+140 = 180 --> y= 40

x+40 = 88

x=48

The answer is 48 degrees.

Hope this is correct! Have a good day!

20% tip of the cost of a d dollar dinner

Answers

Answer: 0.2d

Step-by-step explanation: For calculating the 20% tip of the cost in dollars of a dinner, simply multiply 0.2 by the cost of dollars of a dinner. 0.2 represents 20% and by using the variable "d" to represent the cost of the dinner, you can write this equation: 0.2d.

The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 20 golfers play a round of 18 holes on his golf course and records their scores. Later that week, he has the same 20 golfers play a round of golf on his friend's course and records their scores again. The average difference in the scores (treated as the scores on his course - the scores on his friend's course) is 8.9 and the standard deviation of the differences are 11.986. Calculate a 99% confidence interval to estimate the average difference in scores between the two courses.

Answers

Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

(15×4)÷6[{32÷4(7×2-15+5)}+4​

Answers

The correct answer is (6)
140x(6) - 190x(4) is the answer
The brackets are powers.

6/8 = x/12. Pls help I’m failing math

Answers

Answer:

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

you want to get x alone and so you need to do the opposite of dividing which is multiplying, so you multiply each side by 12.

6/ 8 = x / 12

* 12      *12

6*12/ 8 = x            [tex]\frac{6*12}{8}[/tex]            

72/8=x                    [tex]\frac{72}{8}[/tex]

9=x

Hope this helped!

what is 9/4-2(4x+4/3)+5/2x?

Answers

9514 1404 393

Answer:

  -11/2x -5/12

Step-by-step explanation:

Eliminate parentheses and collect terms.

  9/4 -2(4x +4/3) +5/2x . . . . given

  = 9/4 -8x -8/3 +5/2x

  = (-16/2 +5/2)x +27/12 -32/12 . . . . use common denominators

  = -11/2x -5/12

IS THIS CORRECT IF NOT LET ME KNOW PLEASE I NEED THIS!!!

Answers

Answer:I believe it is at least that is what I would

Step-by-step explanation:

I’m guessing it’s correct

Simplify the following expression.
?
9t2 + 7t + 4 - 2t2 + 5t

Answers

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4


Jeremy can row 3/8 of a mile in 1/4 of an hour.
What is the unit rate that describes the miles
per hour?

Answers

Answer:

3/2 mph

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] = [tex]\frac{r}{4}[/tex]

cross-multiply: 8r = 12

r = 12/8 or 1.5 mph

what is the solution to 13 x is greater than -5 ​

Answers

Answer:

x> -5/13

Step-by-step explanation

13x > -5
x > -5/13
x > -0.38

PLEASE HELP ASAP WILL GIVE BRAINLEIST

Answers

y=9

x=12

hope its right pls do mark me the brainleist

The pencils produced by the machine are unsharpened, so two employees in the factory need to sharpen each pencil by hand. Employee A can sharpen 8 pencils per minute and Employee B can sharpen 5 pencils per minute. Employee A breaks 10% of the pencils they sharpen and Employee B breaks 15% of the pencils they sharpen. What is the probability that a broken pencil was broken by Employee A

Answers

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156

Paul paid $7 per hour to rent a bicycle. Wilson paid $9 per hour to rent a bicycle. If they both rent bicycles for 3 hours, how much MORE will Wilson pay?

Answers

Answer:

6

Step-by-step explanation:

The difference in cost / hour = 9 - 7

9 - 7 = 2

They both take the bikes for 3 hours.

Difference * time = 2 * 3 = 6 dollars

Wilson pays 6 dollars more.

Answer:

,$48

Step-by-step explanation:

7×3=21

9×3=27

27-21=6

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

By multiplying all x values by a -, you are reflecting across the y axis

give thanks by clicking heart :)

who can help me solve this problem?​

Answers

Answer:

30, 28, 34, -6, 44

Step-by-step explanation:

18. The sum of 'l6, /3, and 'Is is
OA. 12, or'/3-
B. "12.
c.1/12, or 1'/12-
OD./72, or'/36-

Answers

Answer:

wn work

Step-by-step explanation:

NEED HELP WITH LAST QUESTION 2). IM IN ZOOM PLEASE HELP <3 WILL GIFT 421 POINTS

Answers

Answer:

Equation: x° + x° + (x + 10)° + 59° = 360°

Solution: x = 97

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore:

x° + x° + (x + 10)° + 59° = 360°

Solve for x

x + x + x + 10 + 59 = 360

Add like terms

3x + 69 = 360

Subtract 69 from each side

3x = 360 - 69

3x = 291

Divide both sides by 3

x = 97

guys help I am stuck on this question I have to send my winter holiday

48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Answers

Answer:

16

Step-by-step explanation:

To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.

48: 2 × 2 × 2 × 2 × 3

64: 2 × 2 × 2 × 2 × 2 × 2

Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.

No. of rows in the girls = 48 ÷ 16

                                      = 3

No. of rows in the boys = 64 ÷ 16

                                       = 4

Answer:

Step-by-step explanation:

I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64

HCF - Highest Common Factor

GCF - Greatest common Factor

First, prime factorize 48 and 64 (write them in the product of their prime numbers)

64 = 2 × 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

Choose common prime factors (all of them that are common)

on observation, there is 2 × 2 × 2 × 2 common between both of them

which is 16.

So 16 maximum people in each row

Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.

But anyway, hope that helps ^

Why do people say that black ops 2 is the best? I will give brainlest

Answers

Answer:

They say it because the wanna be different from others lol

Please give me brainliest

Step-by-step explanation:

Answer:

people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho

HELP ME PLS AKANKANWKWN

Answers

Answer:

The answer is C, the third one.

1 hundred 8 million 4 hundred 4 thousand translate

Answers

Answer:

800,004,500

Step-by-step explanation:

Alexandra has 4 bags of beads. Some of the bags contain 3 purple beads and the rest contain 6 indigo beads. If Alexandra has 21 beads in all, how many bags of each color bead does Alexandra have?
Please help me fast !!

Answers

Answer:

1 bag of 3 purple beads and 3 bags of 6 indigo beads

Step-by-step explanation:

3 + 18 = 21

help??
Anyone??
need it asap
8th grade math

Answers

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(m - 8)² × n

m = 10

n = 2

Step 2: Evaluate

Substitute:                          (10 - 8)² × 2(Parenthesis) Subtract:      2² × 2Exponents:                         4 × 2Multiply:                              8

Answer:

8 is the answer

Step-by-step explanation:

cause (10-8)=2 then 2x2=4 then 4x2=8

sorry if i did ths wrong i am only in 7th grade

Explain how you know that segment de is not parallel to segment bc

Answers

Because there is two right triangles

Line segments DE and BC are not parallel because they divide the opposite side of the triangle at different ratios.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, Line segment AD is 4 units and line segment DB is 2 units.

∴ Line segment AD is (4/2) = 2 times greater.

On the other hand line segment, AE is 9 units and line segment EC is 5 units.

∴ Line segment AE is (9/5) = 1.8  times greater.

Line segments BC and DE should have been parallel if they had the same ratios.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

The Ulis family spends $1,632 a year for gym memberships. How much does the family spend in 4 years?

Enter your answer in the box.

Help me please.

Answers

1,632 * 4 = 6,528
Solution: $6,528 for 4 years

Which situation can be represented by the expression -2+(-1)

Choose 1 Answer:

Answers

definitely (A). he was already under 2 and then went down an additional 1.

Answer:

A

Step-by-step explanation:

I checked on khan

Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.

Answers

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be [tex]x[/tex].

Now, the second odd number = [tex]x+2\\[/tex]

And, the third odd number = [tex]x+4[/tex]

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

[tex]x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1[/tex]

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is [tex]x=3[/tex]

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

What is the rate change of the linear function that has a graph that passes through the points (2,9) (-1,3)

Answers

Slope: (y2-y1)/(x2-x1)
(3-9)/(-1-2) = -6/-3 = 2
The rate of change is 2

The linear function is y = 3x + 6. Then the rate of change of the linear function will be 3.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The linear equation that is passing through the points  (2,9) and (-1,3).

Then we have

y - 3 = [(3 - 9)(-1 - 2)] (x + 1)

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

y - 3 = 3x + 3

    y = 3x + 6

Then the rate of change of the linear function will be

y' = 3

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ2

Other Questions
Write a program that can be used to calculate the federal tax. The tax is calculated as follows: For single people, the standard exemption is $4,000; for married people, the standard exemption is $7,000. A person can also put up to 6% of his or her gross income in a pension plan. The tax rates are as follows: If the taxable income is: Between $0 and $15,000, the tax rate is 15%. Between $15,001 and $40,000, the tax is $2,250 plus 25% of the taxable income over $15,000. Over $40,000, the tax is $8,460 plus 35% of the taxable income over $40,000. Prompt the user to enter the following information: Marital status If the marital status is married, ask for the number of children under the age of 14 Gross salary (If the marital status is married and both spouses have income, enter the combined salary.) Percentage of gross income contributed to a pension fund Your program must consist of at least the following functions: Function getData: This function asks the user to enter the relevant data. Function taxAmount: This function computes and returns the tax owed.To calculate the taxable income, subtract the sum of the standard exemption, the amount contributed to a pension plan, and the personal exemption, which is $1,500 per person. (Note that if a married couple has two children under the age of 14, then the personal exemption is $1,500 4 = $6,000.) Since your program handles currency, make sure to use a data type that can store decimals with a decimal precision of 2. simplify: (43-15)^2I WILL AWARD BRAINLIEST TO THE CORRECT ANSWER! What attack had Washington been preparing for before the Battle of Yorktown? The area of a rectangle is 216 inches squared. The ratio of the length to width is 3:2. Find the length and the width How did geography impact Spartas military tactics during the Peloponnesian War?Sparta did not have to worry about an invasion because it was located on top of a mountain.Athens was located on an island, forcing the Spartans to use many ships to transport its army.The stronghold of the Delian League was on Delos, requiring Sparta to have a strong navy.Athens's location made it difficult to attack, forcing the Spartans to destroy farmland and crops. Read the excerpt from "Island of Hope, Island of Tears." Giuseppe D'Amico (Teresa's father) "had a hard time finding a job in America. He was an electrician by trade, but he couldn't get a job in Manhattan because the electricians were already unionized." Which statement correctly identifies the cause-and-effect relationship? please help / The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take use a proportion to find the length of side x for the pair of similar figures Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number - _____ is an illness that results from the heart and blood vessels not working properly. - _____ is a disease that causes swelling and pain in a person's joints. - _____ is a disease that makes it difficult for the person to breath. - _____ is an illness caused when abnormal cells within the body continue to grow and spread. - _____ is a disease that affects the way the body uses its main source of fuel. A. Asthma B. Arthritis C. Diabetes D. Heart Disease E. Cancer Mary invested $200 for 3 years at 5% per annum. John invested $300at the same rate. If they both received the same amount of money insimple interest, for how many years did John invest his money?a. 1 1/2b. 2c. 3d. 10 Why does the author of the editorial include statements made by the BP oil executives? A to show the contrast between the evidence and the companys official position B to emphasize that the oil company executives are truthful but unimaginative C to explain why BPs actions were understandable D to defend the companys actions both before and after the deep water oil spill Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family? 1.) Describe the two diagrams of a bottled carbonated beverage shown below as greaterpressure or lower pressure, and then as greater solubility or lower solubility. How do these twoexamples illustrate the relationship between the solubility of a gas and its vapor pressure? Explain 2.) On the diagrams below, assume that each beaker contains an equal number of molesof solute. Label each solution as concentrated or dilute. Then indicate the approximaterelative volumes of each solution by describing the surface level on each beaker. Part A:Which statement supports the idea in Passage 4 that it was Anna's dream to become a wrangler?Anna believes her Papa does not have confidence in her.Anna feels she is just as qualified as the men on the cattle drive.Anna remembers the experiences she had on the ranch as a young child.Anna knows her Papa will need all the help he can get if there is a stampede.Part B:Select a sentence from Passage 4 that supports your response to Part A.Anna closed her eyes and tried to sleep, but couldnt. The men will need my help! (paragraph 3)She lost herself in memories of working on the ranch with Mama and Papa. That was when Anna had learned to love wrangling. (paragraph 10)At full speed, Anna guided Copper toward the stampeding cattle. (paragraph 16)Anna nodded, then headed toward the point to help force the leaders back into the herd. (paragraph 19) Which event led to the arrest and imprisonment of many National Womens Party activists?starting a hunger strikerepeatedly picketing the White Houseorganizing a march in Washington, D.C.lobbying Congress for gender equality What happens to the molecules as water freezes? A. The water molecules stop moving B. The water molecules move faster C. The water molecules slow down D. The water molecules react chemically to form ice molecules 1. define speedspeed formula2. define velocityvelocity formulaHow are velocity and acceleration related?3. define acceleration4.what is the force of gravity?this is due this Friday please help me 1/2 x 3/10 in simplest form This table shows the descriptions of careers of three individuals.IndividualCareer DescriptionsDerekDrives a mobile running store in a van that sells racing gear to runners at running events, such as marathonsTaylorStands by the entrance and exit of a retail shoe store and collects money for the merchandise that customers are buyingRashidaOversees that the aquariums for a fish tank store are made, stored, and transported according to scheduleWhich best describes the career each individual has?Derek is a Driver/Sales Worker, Taylor is a Customer Service Representative, and Rashida is a Supply Chain Manager.Derek is an Entrepreneur, Taylor is a Cashier, and Rashida is a Survey Researcher.Derek is an Entrepreneur, Taylor is a Customer Service Representative, and Rashida is a Survey Researcher.Derek is a Driver/Sales Worker, Taylor is a Cashier, and Rashida is a Supply Chain Manager.