Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was five minutes. Use that as a planning value for the standard deviation in answering the following questions.a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 78 seconds, what sample size should be used
Answer:
57
Step-by-step explanation:
Given that :
Standard deviation (σ) = 5 minutes = (5 *60) = 300 seconds
Margin of Error, E = 78
Assume a confidence interval of 95%;
Using the relation :
((Zα/2 * σ) / E)²
(1 - α)/2 = (1 - 0.95)/2 = 0.05 /2 = 0.025
Z0.025 = 1.96
Sample size = ((1.96 * 300) / 78)²
Sample size = (588 / 78)^2
Sample size = 7.5384615^2
Sample size = 56.828
= 57 samples
(help)Calculate the value for each determinant:
9514 1404 393
Answer:
9, -12-48, 017, 1Step-by-step explanation:
Your calculator can do this, but it's probably faster to do it in your head.
[tex]\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb[/tex]
__
[tex]\left|\begin{array}{cc}3&-1\\-3&4\end{array}\right|=(3)(4)-(-3)(-1)=9\\\\ \\\left|\begin{array}{cc}8&-1\\-4&-1\end{array}\right|=(8)(-1)-(-4)(-1)=-12[/tex]
And the next two rows are ...
(-12)(5) -(12)(-1) = -48 — (2)(-1) -(2)(-1) = 0
(0)(4) -(17)(-1) = 17 — (1)(1) -(0)(0) = 1
share 50 in the ratio 3:7
Answer:
Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.
In the ratio of 3:7, the numbers are 15 and 35.
What is the ratio?A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.
Given:
A ratio of 3:7.
To share 50 in the ratio 3:7;
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
[tex]= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}[/tex]
= [tex]50\cdot\frac{3}{10} \ {and}\ {50\cdot\frac{7}{10}[/tex]
= 5 x 3 and 5 x 7
= 15 and 35
Therefore, the numbers are 15 and 35.
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Jones is getting a new laptop. The regular price is $986. The store is offering an 18% discount. What is the cost of the laptop not including tax
Solve the system of equations.
13r - 6y = 22
2 = y + 6
Answer:
The answer is just r = -2/13
Alison wants to distribute the carnations and roses equally among the 6 flower shops. Generate an equivalent expression from question 1, using Distributive Property where 6 is the common factor.
Question 4 (20 points)
Find the mean median mode and range of : 16, 22 14, 12, 20, 19, 14, 11
16 16 145
16 14 15 11
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Ob
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16 15 14 11
16 14 14 11
what is the product of 754.8 x 3.5
Answer:
2641.80
Step-by-step explanation:
hope that helps :))
C is 26 m2 and d is 36 m2
Answer:
D. 26
Step-by-step explanation:
A = base x height
A = 9 x 4
A = [tex]36m^{2}[/tex]
Answer:
[tex] 36\: m^2 [/tex]
Step-by-step explanation:
Area of parallelogram
= base * height
= 9*4
= 36 square m
what is the quotient - 3/7 divided by 1/2
Answer:
Step-by-step explanation:
(-3/7)/(1/2)=
(-3/7)*(2/1)=-6/7
Answer:
The person above is correct :D The answer is -6/7 and pls give him brainliest i got it right cuz of him/she
Step-by-step explanation:
In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°. Find the length of a, to the nearest inch.
Answer:
464
Step-by-step explanation:
Find other angle:
<B = 180 - 165 - 11 = 4
Then plug in (opposite sides go together):
[tex]\frac{a}{sin 11}[/tex] = [tex]\frac{630}{sin 165}[/tex]
[tex]a = \frac{630 sin 11}{sin 165} = 464.454 = 464[/tex]
The length of side a in ΔABC is 460 inches.
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.
We know the sine rule of ΔABC which is a/sinA = b/sinB = c/sinC.
Given, In ΔABC, c = 630 inches, ∠C=165° and ∠A=11°.
∴ a/sinA = c/sinC.
a/sin11° = c/sin165°.
a/0.19 = 630/0.26.
a = (630×0.19)/0.26.
a = 460.
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(4) Which of the following is a true statement about the Distance Formula?
It matters which point is denoted as (x1, y1) or (x2, y2) in the Distance Formula.
The Distance Formula is not a variation of the Pythagorean Theorem.
The Distance Formula finds the change in x and the change in y of the three points.
The (x1, y1) and (x2, y2) can be switched in the Distance Formula.
Answer:
The (x1, y1) and (x2, y2) can be switched in the Distance Formula.
WILL DO ABSOLUTELY ANYTHING FOR THIS ONE HELP ASAP TIMES
Given:
The graph of a function [tex]y=h(x)[/tex].
To find:
The interval where [tex]h(x)>0[/tex].
Solution:
From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, [tex]h(x)>0[/tex] for [tex]x<0[/tex] and [tex]x>3.6[/tex].
The function between x=0 and x=3.6 lies below the x-axis. So, [tex]h(x)<0[/tex] for [tex]0<x<3.6[/tex].
Now,
For [tex]-1<x<0[/tex], the graph of h(x) is above the x-axis. So, [tex]h(x)>0[/tex].
For [tex]0<x<1[/tex], the graph of h(x) is below the x-axis. So, [tex]h(x)<0[/tex].
For [tex]1<x<2[/tex], the graph of h(x) is below the x-axis. So, [tex]h(x)<0[/tex].
Only for the interval [tex]-1<x<0[/tex], we get [tex]h(x)>0[/tex].
Therefore, the correct option is A.
Mike drove 397 miles on 8 hours. About how many miles did she drive each hour?
Answer:
49.6
Step-by-step explanation:
just divide 397 by 8
Answer:
About 49.63 miles per hour
Step-by-step explanation:
but this is the answer
hope this helps
There are 15 parking garages downtown. Each parking lot can hold 175 cars. About how many parking spaces are available at the downtown garages?
Answer:
2625
Step-by-step:
Which polygons have at least one pair of parallel sides but are not parallelograms
Solve using Y=Mx+b
M=-5 and (-3,-2)
Given:
M=-5 and (-3,-2).
To find:
The equation in the form [tex]y=mx+b[/tex].
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ...(i)
where, m is slope and b is y-intercept.
We have m=-5. Putting m=-5 in (i), we get
[tex]y=-5x+b[/tex] ...(ii)
We have a point (-3,-2). Putting x=-3 and y=-2 in (ii), we get
[tex]-2=-5(-3)+b[/tex]
[tex]-2=15+b[/tex]
[tex]-2-15=b[/tex]
[tex]-17=b[/tex]
So, the value of b is -17.
Putting b=-17 in (ii), we get
[tex]y=-5x+(-17)[/tex]
[tex]y=-5x-17[/tex]
Therefore, the required equation is [tex]y=-5x-17[/tex].
Congruent Figures
A
Acellus
If AABC = ADEC,
ZB = x + 15 and ZE = 6x - 65
B
D
E
X = [?]
Enter
Find the area and the perimeter of a rectangle with sides 4 1/5 in, and 4 2/7 in.
Answer:
18 is its area
Step-by-step explanation:
Find the value of each trigonometric ratio.
Answer: C
Step-by-step explanation:
u have insta
Answer:
sine = opposite / hypotenuse
sine C = 8 / 15
sine C = .53333333333333
Step-by-step explanation:
A company loses 345,000 in 2011
Answer:
they lose 20,000,000 in 2021 how much of a difrence is this
Step-by-step explanation:
What is the distance between points A and B?
Answer:
I think it is B
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
If the electrician charges $65 an hour, how much will Laura's total for the electrical work be, including
the parts and ceiling fan?
Show your work
Answer:
Given: Electrician charges= $65/ hour
Step-by-step explanation:
let the total time(total hours) he worked for Laura be 't'
if for one hour, he charges $65
then for 't' hours he will charge=$65 * t
total charges for the parts and ceiling fan=$65t
Find the value of X in the triangle shown.
(2)+(-13)=
whats the answer?
Answer:
[tex] - 11[/tex]
Step-by-step explanation:
[tex]2 + ( - 13) \\ 2 - 13 = - 11[/tex]
Which method shows the two triangles are congruent?
A . SSS
B . SAS
C . ASA
D . AAA
Answer:
SAS
Step-by-step explanation:
It's the only answer that can satisfy with the figures
By B. SAS (side, angle, side) congruency theorem shows the two triangles are congruent
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The congruency theorem should always be consecutive angles or sides to the corresponding consecutive angles or sides.
Side PR and VS are congruent also m∠R and m∠V is similar and the sides VT and QR is also congruent.
Therefore, The congruency theorem that holds this is SAS.
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y is directly proportional to c, and y = 60 when x = 10. Write a direct proportion equation that relates to y and x
Answer: 60,10
Step-by-step explanation: hope this helps
Answer:
y=6x
Step-by-step explanation:
y=kx
find k, which is constant
y=60, x= 10
60=k10
divide both sides by 10
k=6
therefore, the equation relates y and x is;
y=6x
Which is a better state?
Ny or Florida
(Doing this for a statistic question)
Answer:
I would personally say Florida. When looking at things such as race, NYC has many races, and New York has very different neighborhoods and lifestyles.
In Florida, most people are more laid back, and there are not that many differences in race and other aspects.
please give answers asap!! correct answers only
Answer:
15 units
Step-by-step explanation:
UW is the midsegment of ΔVXY,
By midsegment theorem of a triangle,
"Segment joining the midpoints of two sides of a triangle is parallel to the third side and measure of midsegment is half of the length of the third side."
UW = [tex]\frac{1}{2}(XY)[/tex]
Since, XY = 30 units
UW = [tex]\frac{1}{2}(30)[/tex]
= 15 units
Therefore, length of the midsegment UW = 15 units will be the answer.
fatma is 26 years old.her daughter is 4 years old. in how many years will fatma be doubled her daughters ago?
Answer:
my answer aint as good as the other persons but there right it would be 18 years
Step-by-step explanation: