A sales and marketing management magazine conducted a survey on salespeople cheating on their
expense reports and other unethical conduct. In the survey on 200 managers, 58% of the managers
have caught salespeople cheating on an expense report, 50% have caught salespeople working a
second job on company time, 22% have caught salespeople listing a "strip bar" as a restaurant on an
2 expense report, and 19% have caught salespeople giving a kickback to a customer.
construct a 95% confidence interval estimate of the population
3 proportion of managers who have caught salespeople cheating on an expense report.
Answer:
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.
This means that [tex]n = 200, \pi = 0.58[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484[/tex]
The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
A car gets 32 miles per gallon . The function is d(x) = 32x represents the distance d(x) , in miles , that the car can’t travel with x gallons of gasoline. The tank holds 17 gallons.
Answer:
[tex]Domain: [0,17][/tex]
[tex]Range:[0,544][/tex]
Step-by-step explanation:
Given
[tex]d(x) = 32x[/tex]
Maximum gallon = 17
Required
Determine the domain and range --- This completes the question
If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)
So, the domain is:
[tex]Domain: [0,17][/tex]
To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]
[tex]d(0) = 32 * 0 = 0[/tex]
[tex]d(17) = 32 * 17 = 544[/tex]
So, the range is:
[tex]Range:[0,544][/tex]
Question 13
What is the area, in square meters, of the figure below?
8 m
5 m
7 m
6 m
5 m
6 m
4m
7 m
Answer:
where is the figure
Step-by-step explanation:????
A line passes through the point (-8, -3) and has a slope of -3/2
Write an equation in slope-intercept form for this line.
Answer:
this is the answer
Step-by-step explanation:
hope it helped!!!
The number 36 is 12% of:
Answer:
36 is 12% of 300.
Step-by-step explanation:
Hopw this helped. Have an Amazing Day, Evening, or Night! : )
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
1=5 so x=4.5
Step-by-step explanation:
so 11x-9=7x+9
4x=18
x=18/4
x=4.5
Find the reference angle for 12pi/5
Answer:
72°
Step-by-step explanation:
To convert from degrees to radians, multiply the degrees by [tex]\frac{\pi }{180}[/tex].
To convert from radians to degrees, multiply the radians by [tex]\frac{180}{\pi }[/tex].
Right now you're in radians, so multiply it by [tex]\frac{180}{\pi }[/tex].
[tex]\frac{12\pi }{5}* \frac{180}{\pi }[/tex]=[tex]432[/tex]°.
Now we need to find the reference angle for 432°.
If you draw 432° starting from the right and going clockwise (because it is a positive angle, if it was negative you would go counterclockwise), it will make one full rotation, which is 360°, and you will end up in the 1st quadrant, 72° past 360°.
Depending on the quadrant you land in, there might be different operations to perform. Please check the attached image.
In this case, we're in the 1st quadrant so we can leave the angle as is.
The answer is 72°.
Decide if the following situation is a rate or not. Why or why not.
You drive 50 miles in 2 hours.
Answer:
It is a rate,
A rate is the ratio between two related quantities in different units.
Miles and hours are two different units and its 50 miles per 2 hours.
find the measure of angle A
Step-by-step explanation:
angle a is interior angle
so 65+3x+2+7x+3=180
65+10x+5=180
70+10x=180
180-70=10x
110=10x
X= 11
so 3x+2= 33+2
= 35
F(-4) if f(x) = -5x - 3
Answer:
Substituting 4 for x:
ƒ(4) = 3(4 - 5)
ƒ(4) = -3
So, ƒ(4) = -3
Hopefully you understand now!
Suppose the length of the base b of a rectangle is increased by 20 percent and the length of the altitude h is increased by 40 percent.
(a) Write an expression, in terms of b, that represents the length of the base of the rectangle after the 20% increase.
(b) Write an expression, in terms of h, that represents the length of the altitude of the rectangle after the 40% increase.
(c) Write an expression, in terms of b and h, that represents the area of the rectangle after both the lengths of the base and altitude are increased.
(d) Increasing a rectangle's base by 20% and altitude by 40% will increase the area by what percentage?
9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
__
(b) Similarly, if 40% of h is added to h, you have ...
1.4h
__
(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
__
(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
6/7 - 1/3
Your answer
11/21
b/t/w you con go on this website called calculator soup and it has fraction calculators
and the website it self has nothing to download im pretty sure it doesnt
Pls help math question
Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = [tex]286(1.009)^{t-1995}[/tex]
Here, t = year
a). For P = 311 million people
311 = [tex]286(1.009)^{t-1995}[/tex]
[tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
[tex]\frac{0.03639}{0.00389}=t-1995[/tex]
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Answer:1828
Step-by-step explanation:
What is the measure of XZ?
Answer:
C
Step-by-step explanation:
Find the slope between the two points (4, 2) and (-3,-2). Make sure to fully
simplify your fraction!
Answer:
4/7
Step-by-step explanation:
Slope of a line is expressed as;
Slope = y2-y1/x2-x1
Given the coordinate points (4, 2) and (-3,-2)
Slope = (-2-2)/-3-4
Slope = -4/-7
Slope = 4/7
Hence the slope between the two points is 4/7
include why or why not pls help
Answer:
Yes.
Step-by-step explanation:
If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)
Find the area of the figure
Answer:
3250
Step-by-step explanation:
5x13x5x10=3250
Math Alin sa mga fraction sa ibaba ang katumbas ng 9/15? A.1/3 B. 2/5 C. 3/4 D. 4/5
Answer
A.
Step-by-step explanation:
kasi yan lang halos sure ako pero kayo bahala kung trust nyo ako
Help plzz will mark brainleast
Answer:
rectangular prism
Step-by-step explanation:
maybeeee
sorry if it wrong :l
ill mark you but i just wanna see if my answer is correct or not
Answer:
No, it should be 10.
Step-by-step explanation:
The first digit of 4 underlined in 448,023 represents 400,000.
As 448,023 =
(400,000) + (40,000) + (8,000) + (20) + (3).
While the second digit of 4 that is not underlined in 448,023 represents 40,000.
400,000 / 40,000 = 10.
What is the total length of all the seeds
that the students measured?
Answer:
525cmlong the length of seeds
Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9
Answer:
Number 7 is; -1/7776
number nine is :| −8/ 3 | or 2.666667
Step-by-step explanation:
-1/6)^5=1^5/6^5
=-1/^5/6/5
1^5=1
=-1/6^5
6^5=7776
=-1/7776
|(− 1/ 3 )(110+9−2)|
=| −1/ 3 (110+9−2)|
=| −1/ 3 (1+9−2)|
=| −1/ 3 (10−2)|
=| −1 /3 (8)|
=| −8 /3 | =2.666667
Hope this helped!!!!
Help please explain the answer
The answer for x is 5x
Rewrite the Cartesian equation y=-3 as a polar equation.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
Jamie placed $2800 in a savings account which earns 4.3% interest, compounded continuously. How much will she have in the account after 9 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
4123
Step-by-step explanation:
A=Pert,
where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find
A=Pert=2800e(0.043)(9)≈4123.16
Need some help on this question???
Answer: 4
Step-by-step explanation:
Given
PA=6, PD=4, BE=5
We know, If PEB is a secant that intersects the circle at E and B and PA be a tangent at A, then
[tex]PA^2=PE\cdot PB[/tex]
Substitute the given values
[tex]\Rightarrow 6^2=(PE+BE)\cdot(PE)\\\Rightarrow 36=(PE+5)\cdot(PE)[/tex]
Take [tex]PE=x[/tex]
[tex]\Rightarrow 36=x^2+5x\\\Rightarrow x^2+5x-36=0\\\Rightarrow x^2+9x-5x-36=0\\\Rightarrow (x+9)(x-4)=0\\\Rightarrow x=-9,4[/tex]
Discard [tex]x=-9[/tex]
[tex]\therefore PE=4[/tex]
Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how many pounds of cheese will she need? Thanks for the help!
Answer:
30 ounces of cheese
Step-by-step explanation:
12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving
20 x 1.5 = 30 so 30 ounces of cheese