PLEASE HELP! An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.

What does the margin of error imply?

A.It can be concluded, with 81% confidence, that between 93% and 97% of all employees will rate the vacation policy as "delightful."

B.It can be concluded, with 95% confidence, that at least 81% of all employees will rate the vacation policy as "delightful."

C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

D.It can be concluded, with 81% confidence, that at least 95% of all employees will rate the vacation policy as "delightful."

Answers

Answer 1

The answer is C.

Let me know if you have any other questions! ♥

Answer 2

Answer:

The answer is option C.

Step-by-step explanation:

Here, according to the given question, margin of error means that the number of people who rated the vacation as 'delightful' ranges between 81% (83-2) and 85% (83+2) of the population at a 95% confidence interval. The range is formed as 81% to 85% as its given that the margin of error is ±2% .

Therefore, only option C is having both the ranges, 81% and 85%. So, option C is the correct answer.

C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

Related Questions

Val rented a bicycle while she was on vacation. A paid a flat rental fee of $55 plus $8.50 each day the total cost was 123 dollars write an equation you can use to find the number of days when she rented to bicycle

Answers

Total $= $123
Flat fee= $55
Daily cost= $8.50
d= number of days rented

Total cost equals (the daily cost times the number of days rented) plus the flat fee.

T= (Daily cost)(# Days) + Flat fee
$123= $8.50d + $55

ANSWER: $123= $8.50d + $55

Hope this helps! :)

What is the period for the graph of y

Answers

The period of cosine is 2pi radians or 360 degrees. Think of a full circle. To do a full revolution, you must rotate 360 degrees. Afterward, things start to repeat over again.

The answer is choice C.

If mAD=85 degrees and mBC=31 degrees find the value

Answers

Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation: 122 = 13x - 21

Solve this, to find the x = 11.

By the properties of angles on a circle, the degree measure of x in the circle is 11 degrees

Calculating the degree measure of x

From the question, we have the following parameters that can be used in our computation:

The circle

The angle in a circle is 360 degrees.

So, we have

Unused arcs = 360 - 85 - 31

Unused arcs = 244

This means that

2(13x - 21) = 244

So, we have

13x - 21 = 122

This gives

13x = 143

Evaluate

x = 11

Hence, the degree measure of x is 11 degrees

Answers

The future value of a $1,400 investment at a 7% interest rate compounded monthly over 22 years using the compound interest formula is $44,923.

The question regards a principal amount of $1,400 earning a 7% interest rate compounded monthly over 22 years. To calculate the future value of this investment, one would typically use the compound interest formula:

[tex]A = P(1 +rn)^n[/tex]

Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount ($1,400 in this case).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.

To calculate the future value using our example, you can substitute the given values into the formula:

A = [tex]1400(1+(0.07){12})^{12*22}[/tex] = 44923

After 22 years, the balance in the account with a $1,400 principal earning 7% interest compounded monthly would be approximately $3,808.39. This is calculated using the compound interest formula with the given parameters: principal, interest rate, compounding frequency, and time.

To find the balance in the account after 22 years with a $1,400 principal earning 7% interest compounded monthly, we use the compound interest formula:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

Where:

[tex]- $ A $ is the amount of money accumulated after $ t $ years,- $ P $ is the principal amount (the initial amount of money),- $ r $ is the annual interest rate (in decimal),- $ n $ is the number of times interest is compounded per year, and- $ t $ is the time the money is invested for in years.[/tex]

Given:

[tex]- $ P = $1,400 $,- $ r = 0.07 $ (7% interest rate converted to decimal),- $ n = 12 $ (compounded monthly),- $ t = 22 $ years.[/tex]

Plugging in the values:

[tex]\[ A = 1400 \left(1 + \frac{0.07}{12}\right)^{(12)(22)} \]\[ A = 1400 \left(1 + \frac{0.07}{12}\right)^{264} \]\[ A = 1400 \left(1 + \frac{0.005833}{1}\right)^{264} \]\[ A = 1400 \left(1.005833\right)^{264} \][/tex]

Now, we calculate:

[tex]\[ A \approx 1400 \times 2.72028 \]\[ A \approx $3,808.39 \][/tex]

So, the balance in the account after 22 years would be approximately $3,808.39.

2. The triangles are similar. write a similarity statement for the triangles.

A. Triangle JKL ~ Triangle NPM

B. Triangle JKL~ Triagle PNM

C. Triangle JKL~ Triangle MNP

D. Triangle JKL~ Triangle PMN

Answers

C. Triangle JKL~Triangle MNP because since when you wrote the first part of the solution you began with the corner that had an arc so you have to begin with the corner that has an arc in the second part of the solution.

Answer:

The correct option is C.

Step-by-step explanation:

In triangle JKL and MNP,

[tex]\angle J=\angle M[/tex] (Given)

[tex]\angle L=\angle P=90^{\circ}[/tex] (Given)

According to AA property of similar triangle, two triangles are similar if their two corresponding angles are same.

Here, J is corresponding angle of M, K is corresponding angle of N and L is corresponding angle of P.

Using AA property of similar triangles,

[tex]\triangle JKL\sim \triangle MNP[/tex]

Therefore the correct option is C.

The cake store is having a 25\%25%25, percent off sale on all of its cakes. If the cake you want regularly costs \$9$9dollar sign, 9, how much would you save with the discount?

Answers

25% = 25/100 = 0.25

9*0.25 = 2.25.

You save $2.25 with the discount.

Answer:

$2.25.

Step by step explanation:

We have been given that the cake store is having a 25% off sale on all of its cakes.

To find our savings with the discount we will find 25% of $9 (regular cost of cake).

[tex]\text{Savings with the discount}=9\times\frac{25}{100}[/tex]

[tex]\text{Savings with the discount}=9\times\frac{1}{4}[/tex]

[tex]\text{Savings with the discount}=\frac{9}{4}=2.25[/tex]

Therefore, we will save $2.25 with the given discount.

Number 11 please....

Answers

This is pretty easy
(39 + x) / 2 = 44
39 + x = 88
x = 49

The other number would be 5
Here is how I solved it all you have to do is 44-39= and you get 5
pretty simple if you have any other questions feel free to ask.

I hope this helps! ❤️

The DIAMETER of a sphere is doubled. What is the new volume of the sphere?
A)
8/3πr3
B)
16/3πr3
C)
32/3πr3
D)
64/3πr3

Answers

we know that
[volume of a sphere]=(4/3)*pi*r³
if the diameter is doubled
then
the radius also is doubled

the new volume=(4/3)*pi*(2r)³------> 8*[(4/3)*pi*r³]-------> (32/3)*pi*r³

the answer is C)
32/3πr3

Translate shapes , pls help me with this

Answers

A. (-4,-2)
B. (-3,-4)
C. (0,2)
D. (-2,-1)
Try this

Answer:

A: (-4,-2)

B: (-3,-4)

C: (0,2)

D: (-2,-1)

Hope this helps! I'm not the best at math though, so it could be incorrect.

What happens when you square a cubed root or cube a square root and problems like these. Please tell me how to do it!

Answers

You would do the innermost operation first, so for your first example: squaring a cubed root- you would first take the cubed root, get your answer, and square that answer. For example what's the square of the cubed root of 8? Well, the cubed root of 8 is 2. (Because multiplying 2, three times will give me 8). Since the cubed root of 8 is 2, I need to square 2 and I'll get 4.

Two f-18s are catapulted off an aircraft carrier and fly on courses that diverge at a 60° angle. if each flies at a constant rate of 500 mph, after how many hrs will the fighters be 1200 mi apart?

Answers

Answer: The will be 1200 miles apart after 2.4 hours.

First draw a picture of an angle of 60 degrees. The vertex is the starting point of the plane and they are flying away from it.

If you drew points for the new positions of the plane and connected them, you would have triangle. The planes are flying at the same speed, so they would be isosceles triangles. And since the vertex angle is 60 degrees, the other angles have to be 60 as well. This makes it an equilateral triangles, meaning all the sides are the same.

So the distance between the planes is equal to the distance that they have flow.

Simply divide 1200 by 500 to get 2.4 hours.

A pair of jeans originally cost $80, but is on sale for 30% off. there is a coupon available for an additional 10% off of the sale price. how much do the jeans cost with the coupon?

Answers

30% = 0.3.

0.3*80 = 24, so we know that 30% of 80 is 24.

80 - 24 = 56, so after the sale, the price for a pair of jeans is $56.

10% = 0.1

0.1*56 = 5.6, so with the coupon, we get $5.60 off.

56 - 5.60 = 50.40

The jeans cost $50.40 after the sale and the coupon.

A parallelogram has vertices E(−8, 3), F(2, −2), G(−1, 3), and H(−5, −2). What are the coordinates of the midpoint of each diagonal?

(3, −0.5)
(−4.5, 3)
(−3, 0.5)
(0.5, −1.5)

Answers

The first thing we must do in this case is to draw the ordered pairs given in a Cartesian plane.
Then, join the points to find the parallelogram sought.
We observe that the half point of both diagonals is the same.
Therefore, it is enough to calculate the half point of only one of the diagonals.
The half point is calculated according to the expression:
(((x1 + x2) / 2), ((y1 + y2) / 2))
Substituting values of one of the diagonals:
(((-1-5) / 2), ((3-2) / 2))
(-3, 0.5)
Answer:
(-3, 0.5)

Suppose that 1% of the students in a school have head lice and the test for head lice is accurate 75% of the time. What is the probability that a student in the school has head lice, given that the test came back positive?,

Answers

Answer: There is a 2.9% chance that a person has head lice given that the test is positive. (I know that sounds very low, but watch the math)

Imagine there are 10,000 students in the school. If 1% have lice, that makes 100 students that have it and 9,900 that don't.

Assume the test was given to all students. Out of the 100 that have lice, only 75 would get a positive test because it is only 75% accurate.

Now, out of the 9,900 student who don't have lice, 25% of them would get a positive test, because the test is only 75% accurate. That is 2,475 false positive tests!!!

So we had a total of 2,550 positive tests, but only 75 of those students actually have lice. 75 out of 2550 is 2.9%.

If the test is positive, there is a 2.9% chance that the subject has head lice.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Assume that the school has 100 students. If 1 student has lice and 99 others don't, that means one student has lice.

Suppose that all students took the test. Only 0.75 of 1 people with lice would have a positive test result because it is only 75% accurate.

Because the test is only 75% accurate, out of the 99 students who do not have lice, 25% would test positive. 24.75 false positive tests are involved here!

So far, 25.50 of our students have had positive tests, although only 0.75 of them truly have lice. 2.9% is 0.75 out of 25.5.

learn more about conditional probability here :

https://brainly.com/question/30144287

#SPJ7

In ∆TUV, Y is the centroid. If TW = 30, what is YW?

Answers

the complete question in the attached figure

we know that
the centroid is always 2/3 the distance of each median to each vertex
TW=30
TW=TY+YW
TY=(2/3)*30---------> TY=20
then
YW=TW-TY-----------> YW=30-20-----------> YW=10

the answer is
YW=10

Answer:

answer is 10

Step-by-step explanation:

Simplify the expression.

Answers

= (x +3)(x -2)*(x -3)(x +3)/((x -2)(x +2)*(x +3)^2)
= (x -3)/(x +2) . . . . . matches selection A

The answer is A because I did he math in my head so fast

will give brainlist

what is the approximate area of the figure

Answers

The radius of this circle is 4 centimeters, so the area of half of the circle will be 25.135, I'll call it 25.

The rectangle is 8 cm by 14 cm, so that has an area of 112.

Now, add 25 and 112. This will give you about 137.

Answer:

the answer is 137.1

Step-by-step explanation:

Divide the figure into recognizable shapes. Find the area of each shape and add them together.

PLEASE HELP ASAP!!!

Max is running the concession stand at the local football game. He is selling popcorn and water. Each bag of popcorn costs $1.25 and each bottle of water costs $. 75.

He sold a total of 108 items for a total of $105.00. He needs to report the number of bags of popcorn and bottles of water that were sold.

Determine how many of each item he sold. Be sure to plug your solution back into the equation to verify that it is correct.

Having variables represent the popcorn and the water, so p for popcorn and w for water... I think the equation would be

p + w = 108

and

1.25p + .75w = 105

but after that I get kind of confused...

Answers

take both equations and write a new one incorporating both.
Solve the new equation for p.
Use your p solution to plug back into an original equation and solve for w.
Check your solutions by checking them in both original equations.

p= # of popcorn
w= # of waters

QUANTITY EQUATION
p + w= 108

COST EQUATION
$1.25p + $0.75w= $105

STEP 1:
solve for one variable in cost equation

p + w= 108
subtract w from both sides
p= 108 - w

STEP 2:
substitute p=108-w in for p in cost equation

$1.25p + $0.75w= $105
1.25(108-w) + 0.75w= 105
multiply 1.25 by all in parentheses
(1.25*108)+(1.25*-w)+0.75w= 105
135 - 1.25w + 0.75w= 105
combine like terms
135 - 0.5w= 105
subtract 135 from both sides
-0.5w= -30
divide both sides by -0.5
w= 60 water bottles

STEP 3:
substitute w=60 in either equation to find p

1.25p + $0.75w= $105
1.25p + 0.75(60)= 105
1.25p + 45= 105
subtract 45 from both sides
1.25p= 60
divide both sides by 1.25
p= 48 popcorn

CHECK:
p + w= 108
60 + 48= 108
108= 108

ANSWER: There were 60 popcorn sold and 48 waters sold.

Hope this helps! :)

Name the Property of Equality that justifies the statement: If m<A + M<B = M<C. Then, M<A = M<C - M<B
Transitive Property
Symmetric Property
Reflexive Property
Subtraction Property

Answers

The subtracton property of equality allows you to subtract the same amount from both sides of an equation without changing the truth of the equation.

Answer:

subtraction property

Step-by-step explanation:

NEED HELP ASAP!

to find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit of 8 feet tall, measures the angle of elevation to the top of the pole to be 36°. to the nearest foot, what is the height of the pole?

a. 87 feet
b. 95 feet
c. 71 feet
d. 79 feet

Answers

The ratio of height above the transit to the distance to the transit is the tangent of the angle.
.. height = 8 ft +(120 ft)*tan(36°) = 95 ft . . . . . . matches selection B

Answer:

95 feet

Step-by-step explanation:

Refer the attached figure.

A surveyor moves 120 feet away from the base of the pole i.e. BC = 120 feet.

BC= ED = 120 feet (refer the figure)

Height of transit i.e. DC = 8 feet

DC = EB = 8 feet (refer the figure)

The angle of elevation to the top of the pole to be 36° i.e. ∠ADE = 36°

Height of pole = AE+EB

To find AE use trigonometric ratio

[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]

[tex]tan36^{\circ}= \frac{AE}{ED}[/tex]

[tex]0.726= \frac{AE}{120}[/tex]

[tex]0.726*120= AE[/tex]

[tex]87.12 = AE[/tex]

Height of pole = AE+EB = 87.12+8 = 95.12 feet≈95 feet

Hence the height of pole is 95 feet

At the pet store, 3 cats are brown with stripes, 2 cats are orange with stripes, and 5 cats are solid brown. What is the probability of a cat being brown or having stripes?

Answers

Answer:

Its 1 or 100%

Step-by-step explanation:

what does X equal to ?

Answers

Answer:

x= 15

Step-by-step explanation:

We can use cross products to solve this problem

7 2x+5

-- = --------

3 x

7x = 3(2x+5)

Distribute

7x = 6x +15

Subtract 6x from each side

7x-6x = 6x-6x+15

x = 15

Which are the solutions of this equation 4x2-7x=3x+24

Answers

Answer: x = -3/2 x =4

Answer:

3rd and last choice on ed

Step-by-step explanation:

35 points!

What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

Have you worked with the law of sines and cosines? I will explain this using the law of sines.

Here is the formula for area: ¹⁄₂ • c • b • sin(A)

¹⁄₂ • 11 • 9 • sin63
¹⁄₂ • 99 • sin63
49.5 • sin63
49.5 • .8910065242...
≈44.1

That should be the area of the triangle. The other way to do this is to just start by using the law of cosines, and then finding the height of the triangle, and then using the area formula. I believe the way I showed you is the easier way though. Message me if you have any questions.

Also make sure to include units : 44.1cm²

If the train that Megan is riding covers 60 miles in 2 hours, how fast is the train traveling?

Answers

Speed= Distance/Time

60 miles/ 2 hours = 30 miles per hour

What is the value of x in the equation 1/5x-2/3y=30,when y =15?

Answers

1/5x + 2/3(15) = 30

1/5x +10 = 30

1/5x = 20

x = 20 * 5

x = 100

Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?

Answers

Let us say weight of Javier is x pounds.

Weight of his bother = 80 pounds

Javier is 175 % or 1.75 times heavier than his brother.

So Javier's weight = x pounds= 1.75 *80 = 140 pounds.

Answer: Javier's weight is 140 pounds.

A cup of coffee contains 130 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how much caffeine will remain in the body after 3 hours?

Write the exponential function and solve.
a.
4072-06-01-04-00_files/i0260000.jpg; 184 mg
b.
4072-06-01-04-00_files/i0260001.jpg; about 346 mg
c.
4072-06-01-04-00_files/i0260002.jpg; less than 1 mg
d.
4072-06-01-04-00_files/i0260003.jpg; about 92 mg

Answers

---
y(t) = a*e^(kt)
---
now:
130 mg
---
one hour from intake:
130 * (1 - 0.11) = 115.7 mg
---
y(1) = 115.7 = 130*e^(k(1))
115.7 = 130*e^k
115.7/130 = e^k
ln( 115.7/130 ) = ln( e^k )
ln( 115.7/130 ) = k
k = -0.1165338

---
three hours from intake:
y(3) = 130*e^(3k)
y(3) = 91.64597
---
answer:
three hours after drinking a cup of coffee, 91.6 mg of caffeine will remain in the body

Line segment AC has endpoints A (-1,-3.5) and C (5,-1). Point B is on line segment AC and is located at (0.2,-3). What is the ratio of AB/BC

Answers

The first thing you should do in this case is find the distance between the points.
The distance between two points can be thought of as a line.
To find the length of this line, you can use the distance formula:
d = √ (x2 - x1) ^ 2 + (y2 - y1) ^ 2
We have then:
AC distance:
AC = root ((5 - (-1)) ^ 2 + (-1 - (-3.5)) ^ 2) = 6.5 units
AB distance:
AB = root ((0.2 - (-1)) ^ 2 + (-3 - (-3.5)) ^ 2) = 1.3 units
BC distance:
BC = 6.5-1.3 = 5.2 units

Answer:
The ratio is:
AB / BC = (1.3) / (5.2)

Answer:

AB/BC = (1.3) / (5.2). Hope this helps :)

Step-by-step explanation:

PLEASE HELP ON THIS AND EXPLAIN
THX

Answers

n=1→f(1)=-5.25

f(n)=f(n-1)+1.75, for n=2, 3, 4, ...
n=2→f(2)=f(2-1)+1.75=f(1)+1.75=-5.25+1.75→f(2)=-3.5
n=3→f(3)=f(3-1)+1.75=f(2)+1.75=-3.5+1.75→f(3)=-1.75
n=4→f(4)=f(4-1)+1.75=f(3)+1.75=-1.75+1.75→f(4)=0
n=5→f(5)=f(5-1)+1.75=f(4)+1.75=0+1.75→f(5)=1.75

Answer:
Sequence
-5.25, -3.5, -1.75, 0, 1.75

Other Questions

She's up in the cemetery there nowin with a whole mess of Gibbses and Herseysshe was Julia Hersey 'fore she married Doc Gibbs in the Congregational Church over there.In at least one hundred words, explain how the above passage reinforces the theme of the transience of human life. the equation Y= -16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth. What is the importance DNA in the human body who made the cotton gin and the mechanical reaper A ______ system allocates resources by the order of someone in authority. Wo cells in the same organism differ only in the number of chloroplasts they contain. the first cell has multiple chloroplasts, and the second cell has very few. what would most likely characterize these cells? there would be no difference between the functioning of the cells because the chloroplasts are not essential cell structures. the second cell would become larger because it would have fewer chloroplasts regulating its size and shape. the second cell would shrink because it would not be able to store water and maintain cell shape. the second cell would not be able to produce as much food because it could not capture sunlight. Why does the video show many people ducking and covering in a variety of situations? A.To show that duck and cover was not the best way to be safe during an atom bomb attack B.To show that duck and cover could not keep a person safe C.To show that duck and cover would protect a person during an atom bomb attack D.To show what not to do during an atom bomb attack. why do you think the deer population in 1905 was 4,000 even though the carrying capacity was predicted to be 30,000 Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week. What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations. What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations. What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations. Presto company purchased equipment and these costs were incurred: cash price $65,000 sales taxes 3,600 insurance during transit 640 installation and testing 860 total costs $70,100 presto will record the acquisition cost of the equipment as Can someone please explain how to find this answer? thanks Drag the tiles to the correct boxes to complete the pairs.Match each form of energy to its description. The _____, the first written loaws of rome, were issued in 451b.c. what caused the bathyscaphe to sink to the bottom of the sea Mindy's therapist is asking her to consider the ways in which her mother treated her and how that treatment may have an impact on the ways in which mindy treats her own children today. on the basis of the given information, we can say that mindy's clinician is applying the _____ approach. Heat lamps are designed to reheat food when it falls below 135 f true or false A biological community of interacting organisms and their physical environment is an Which christian doctrine does the catechism say meets more opposition than any other? Which component detects both single-bit and multi-bit errors? What is the best description of the authors purpose in this passage? This town does not actually exist, but it might easily have a thousand counterparts in America or elsewhere in the world. I know of no community that has experienced all the misfortunes I describe. Yet every one of these disasters has actually happened somewhere, and many real communities have already suffered a substantial number of them. A grim specter has crept upon us almost unnoticed, and this imagined tragedy may easily become a stark reality we all shall know. 1. convince readers of a threat 2. explain frightening story 3. to convince readers of the importance of a community 4. explain historical event