Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.

Answers

Answer 1

Answer:

Z statistic = 1.980

Pvalue = 0.024

Step-by-step explanation:

Sample size (n) = number of paychecks = 50

Number of overtime (x) = 32

Let Number of overtime = o

Claim : Overtime work is done more than 50% of the time ;

Null hypothesis:H0: o = 0.5

Alternative hypothesis : H1: o > 0.5

Using the T84 calculator :

Selecting the 1 proportion test under the Stat menu:

p0 = 50% = 0.5

x = 32 ; n = 50 ; >p0

The z test statistic value obtained is 1.980 (3 decimal places)

The P value = 0.024 (3 decimal places)

At α = 0.05 ;

P value < α ; therefore we reject the null

Hence, overtime work is done more than 50% of the time.

Leshonda Had Been Working At Her Job For Almost Twenty Years. She Felt Like She Worked Overtime More

Related Questions

If f(x)=34x+56 , what is f(12)?

Answers

Answer:

f(x)= 34x +56      34(12) +56=464

Step-by-step explanation:

I NEED HELP PLEASE Thank youuuu

Answers

Answer:

number 8 is b

Step-by-step explanation:

Distance Formula

[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]

(-2,-3) (2,1)   Midpoint (2,1)

[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]

Then find the slope.

1- - 3 / 2 - -2 = 4/4 = 1

(or use an online graphing calculator)  

The Points are (6,5)

Rose and Angel are caterers. Both Rose and Angel charge a flat fee plus a fee per guest. Rose charges a flat fee of $50 plus $12 per guest. The table shows how much Angel charges for different numbers of guests. Angel's Catering Charges Number of Guests Charge ($) 10 $180 15 $255 25 $405 30 $480 Part A Who charges the greater flat fee? O A. Rapse O B. Angel Part B Vhat is the difference in total charges between Angel and Rose for a party that includes 50 guests? Enter the answer in the box. Autohide sh Growth: Math 6+ GA 2015 Question ITU Shelf nositi​

Answers

Answer:

a. Angel has a greater flat fee

b. Difference = $130

Step-by-step explanation:

Given

Rose:

[tex]Flat\ Fee = \$50[/tex]

[tex]Rate = \$12[/tex]

Angel

Guests --- Charges

10 -------- $180

15 -------- $255

25 -------- $405

30 -------- $480

Solving (a): Who charges the greater flat fee?

We have that the flat fee of Rose is:

[tex]Flat\ Fee = \$50[/tex]

For Angel, we need to determine the equation of the given table

Start by calculating the slope (m) of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where x and y represent any two corresponding values of the guests and the charges.

[tex](x_1,y_1) = (10, 180)[/tex]

[tex](x_2,y_2) = (30, 480)[/tex]

So: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{480 - 180}{30 - 10}[/tex]

[tex]m = \frac{300}{20}[/tex]

[tex]m = 15[/tex]

Next, we calculate the equation using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 15[/tex]

[tex](x_1,y_1) = (10, 180)[/tex]

[tex]y - 180 = 15(x - 10)[/tex]

[tex]y - 180 = 15x - 150[/tex]

Add 180 to both sides

[tex]y - 180 + 180 = 15x - 150 + 180[/tex]

[tex]y= 15x + 30[/tex]

From the equation above:

The slope = 15 --- This represents the hourly rate

and

y intercept = 30 --- This represents the flat fee

This is better represented as:

Angel

[tex]Flat\ Fee = \$30[/tex]

[tex]Rate = \$15[/tex]

and

Rose:

[tex]Flat\ Fee = \$50[/tex]

[tex]Rate = \$12[/tex]

By comparison, Angel has a greater flat fee

Solving (b): Difference between total charges of 50 guests for both caterers.

For angel, the equation is:

[tex]y= 15x + 30[/tex]

and x = 50.

So:

[tex]y = 15 * 50 + 30[/tex]

[tex]y = 750 + 30[/tex]

[tex]y = 780[/tex]

For Rose,

First, we need to determine the equation.

[tex]Flat\ Fee = \$50[/tex]

[tex]Rate = \$12[/tex]

The equation is:

[tex]y = Flat\ Fee + Rate * x[/tex]

[tex]y = 50 + 12 * x[/tex]

So, the total charges for 50 guests is:

[tex]y = 50 + 12 * 50[/tex]

[tex]y = 50 + 600[/tex]

[tex]y = 650[/tex]

The difference is then calculates as:

[tex]Difference = 780 - 650[/tex]

[tex]Difference = \$130[/tex]

Which diagram demonstrates the problem 3x 1/4

Answers

Answer:

A.

Step-by-step explanation:

3 * 1/4 = 3/4

Which answer shades 3 out of 4 blocks? A.

Answer:

the answer is A

Step-by-step explanation:

3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar

mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?

Answers

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

8. La semana pasada, John gasto $ 18 en 4 juegos de bolos. Esta semana gastó $ 27 en 6 juegos de bolos. John tiene su propio par de zapatos, por lo que solo paga por los juegos que juega. ¿Es esta relación proporcional? Si es así, ¿cuál es la constante de proporcionalidad?.

Answers

Answer:

Step-by-step explanation:

las quenos juegos = 18

the students Bend 1/8 of an hour each evening reading a book about biplanes if it took the student 10 evening to finish the book how many hours in all did the students spend reading ​

Answers

Answer:

C. 3¾

Step-by-step explanation:

Number of hours spent per evening reading the book = ⅜ hr

Number of evenings it took to complete reading the book = 10

Total number of hours spent in reading = ⅜ × 10 = 30/8

Simplify

= 15/4

= 3¾ hours

Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the account’s history.

Answers

Answer:

b.  A list of credits and debits made during the period.

Step-by-step explanation:

Edge 2021

On a monthly account statement, what you are expected to find is a  A list of credits and debits made during the period.

What is a monthly account statement?

This can be referred to as a statement of the debits and the credits that occurred in a given period of one month.

The account statement is a statement of the transactions that have occurred in an establishment over a period.

Read more on account statements here:

https://brainly.com/question/24498019

#SPJ9

Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete

Answers

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above

Answers

Answer:

4

Step-by-step explanation:

coefficient is the number next to the variable.

Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =

Answers

Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square​

Answers

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

What is the product of 12 and 5 decreased by 17

Answers

Answer:

43

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

12x5-17 would be the equation

60-17 multiplication due to PEMDAS

43 subtraction

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.

Answers

Answer:the line x+y<10 has a negative slope and a positive y intercept

The line representing 20x+25y>200 is solid and the graph is shaded above line

The overlapping region contains the point (4,5)

Step-by-step explanation:

;)

Answer:

The answers are B, C, and E.

Step-by-step explanation:

I got it right on edge

What is the numerical expression of 28

Answers

Answer:

the answer is 5 i think

Step-by-step explanation:

If 3 times the difference of x and y is -30, and 2/3 of x plus 1/2 of y is 19, what are x and y

Answers

Answer:

x = 12 and y = 22

Step-by-step explanation:

It is given that,

3 times the difference of x and y is -30

3(x-y) = -30

3x-3y = -30 ....(1)

2/3 of x plus 1/2 of y is 19.

[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]

Add equation (1) and (2).

3x-3y + 4x+3y = -30 +114

7x = 84

x = 12

Put the value of x in equation (1)

3x-3y = -30

3(12)-3y = -30

36+30 = 3y

3y = 66

y = 22

Hence, the value of x and y are 12 and 22.

Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?

Answers

Answer:

30

Step-by-step explanation:

Proportions!

30 windows in all. Look at the attachment for work.

4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)

Answers

The 3 option
(3,9), (-7,1), (6,12), (-3, -9)

NEED ANSWER ASAP WILL GIVE 20 POINTS ONLY IF CORRECT PLS ANSWER NOW
Which statement is true for the equation 3x − 3x − 2 = −2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

Hey. This equation has infinite many solutions.

3x - 3x - 2 = - 2

3x - 3x = 0

3x = 3x

This equals to each other meaning infinite solutions

Step-by-step explanation:

Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?

Answers

123 bdhdhehdbrhrbrnrnrj

can u pls help me with this question ​

Answers

Answer:

3 miles per hour

Step-by-step explanation:

his speed is 12/4 (or 3) miles an hour. What you do, is you have to multiply 15 by four to go from 15 min to one hour, and you also have to multiply 3/4 by four.

5/6 - (-2/3)

Steps please

Answers

Answer:

9/6

Steps:

5/6 - (-2 x 2)

____. = 9/6

3 x 2

Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that
b1 = c1 + 3c3, b2 = c1 + 4c2 - c3, and b3 = 5c1 - c2. Suppose vector x = b1 + 6b2 + b3. That is,
suppose space left square bracket bold italic x right square bracket subscript B space equals open square brackets table row 1 row 6 row 1 end table close square brackets . Find space left square bracket bold italic x right square bracket subscript B space, the coordinates of the vector x in basis C.

Answers

I’m a failure if you can just say “yes you are” in the comments

how many millilmeters are in 3 gallons

Answers

Answer:

11,356 ml.....................

according to the internet, 11356235.4

which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discounted price of $61.75? 0.35 0.60 0.65 0.95 I WILL GIVE BRANLIEST

Answers

Answer:

it will be 0.65

Step-by-step explanation:

Answer:

The Answer is .35 or 35%

Step-by-step explanation:

Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.

Answers

Answer:

$270,000

Step-by-step explanation:

First, find the area of the plot using the formula A = lw

A = lw

A = (300)(150)

A = 45,000

Then, multiply this by 6 to find the total cost:

45,000(6)

= 270,000

So, the cost to tile the plot is $270,000

Answer:

2700

Step-by-step explanation:

Length= 300m

width= 150 m

Area = Lx W = 300 x 150= 4500 sq m

rate per 100 sq meter= 6

so total cost = 4500/ 100 x 6

= 2700

hope it helps!

0.50(61 + 3s)
Use the Distributive Property to expand the expression.

Answers

Answer:

30.5 + 1.5s

Step-by-step explanation:

What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer:

[tex]y=4x+8[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Here's what the variables mean:

[tex]y[/tex] = the y-coordinate

[tex]m[/tex] = the slope of the line

[tex]x[/tex] = the x-coordinate

[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:

[tex]y=4x+b[/tex]

Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].

[tex]4=4(-1)+b[/tex]

Solve the equation

[tex]4=4(-1)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate [tex]b[/tex]

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

[tex]y=4x+8[/tex]

I hope this helps!

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