Oakwood Cinema has a theater screen with a diagonal length of 66 feet. The ratio of the length to width is 19:10. What are the approximate dimensions of the screen to the nearest foot?
Answer:
height = 23 ft , Width=43ft
Step-by-step explanation:
Step one:
Given data
Given data
Diagonal = 66ft
Aspect ratio= 19:10
From the formulas below, we can find the dimensions of the theater screen
height = diagonal / √ (AR²+1)
where AR is the aspect ratio
Step two:
height = 66 / √ ((19/10)² + 1) =
height = 66 / 2.9
height = 23 ft
Step three:
Also,
width = AR * height
width = (19/10) * 22.75
width =1.9* 22.75
Width=43ft
Pls help I’ll brainiest I need help with part 2
Answer:
the markup is 300%
Step-by-step explanation:
quadruple = 3?
2 expressions could be 3c and 2c + c
PLEASE HELP ME I WILL MARK YOU BRAINLIST
Answer: C
Step-by-step explanation:
Answer:
Your answer is B!
Step-by-step explanation:
Because the arrow is on the y-axis, and it started at 250,000. Plz mark as brainliest!
3
Solve for x.
-2x + 6 + 4x = -12
landscape designer has 4/5 ton of mulch to divide equally among 8 customers. how much mulch will each customer get?
Answer:
1/10
Step-by-step explanation:
4/5x1/8=4/40=1/10
Need a problem showing how to to divide beach toys into equal groups. Solve it too.
Answer:
ok
Step-by-step explanation:
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Answer:
just put it under negative 2 and see if that helps,
Hope I helped!!
Step-by-step explanation:
Answer:
Step-by-step explanation:
-2/3 is the slope
1 is the y-intercept
11/12 x 6/11 in simplest form
The letters from the word MATHEMATICS are placed in a hat. What is the probability of selecting an M and then selecting a T if the letters are selected at random and not replaced?
In which of the following situations would it be appropriate to use a Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p?
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
Answer:
(c) n = 100, p = 0.2
Step-by-step explanation:
To approximate to use the normal distribution for a binomial, we need that:
[tex]np \geq 10, n(1-p)\geq 10[/tex]
So, for each option
(a) n = 10, p = 0.5
[tex]np = 10*0.5 = 5 < 10[/tex]
So not appropriate
(b) n = 40, p = 0.88
[tex]np = 40*0.88 = 35.2 > 10[/tex]
[tex]n(1-p) = 40*0.12 = 4.8 < 10[/tex]
So not appropriate.
(c) n = 100, p = 0.2
[tex]np = 100*0.2 = 20 > 10[/tex]
[tex]n(1-p) = 100*0.8 = 80 > 10[/tex]
So appropriate
(d) n = 100, p = 0.99
[tex]np = 100*0.99 = 99 > 10[/tex]
[tex]n(1-p) = 100*0.01 = 1 < 10[/tex]
So not appropriated
(e) n = 1000, p = 0.003
[tex]np = 1000*0.003 = 3 < 10[/tex]
So not appropriate
A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
Given that,
Normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
We have to determine,
In which of the following situations would it be appropriate to use a normal distribution to approximate probabilities for a binomial distribution with the given values of n and p.
According to the question,
Probabilities for a binomial distribution with the given values of n and p.
(a) n = 10, p = 0.5
(b) n = 40, p = 0.88
(c) n = 100, p = 0.2
(d) n = 100, p = 0.99
(e) n = 1000, p = 0.003
To approximate to use the normal distribution for a binomial is given as,
[tex]np\geq 10 , \ n(1-p)\geq 10[/tex]
When n = 10 and p = 0.5,[tex]= np \geq 10\\\\= 10 \times 0.5 = 5<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 40 and p = 0.88,[tex]= n.p \geq 10\\\\= (40).(0.88) \geq 10\\\\= 35.2\geq 10\\\\Then,\\=n(1-p) = 40(1-0.88) \geq 10 \\\\= 40\times 0.12 \geq 10 = 4.8\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 100 and p =0.2,[tex]= n.p \geq 10\\\\= (100).(0.2) \geq 10\\\\= 20\geq 10\\\\Then,\\=n(1-p) = 100(1-0.2) \geq 10 \\\\= 100\times 0.8\geq 10 = 80\geq 10[/tex]
The normal distribution is greater than 10 so, this appropriate.
When n = 100 and p = 0.99,[tex]= n.p \geq 10\\\\= (100).(0.99) \geq 10\\\\= 99\geq 10\\\\Then,\\=n(1-p) = 100(1-0.99) \geq 10 \\\\= 100\times 0.01\geq 10 = 1\leq 10[/tex]
The normal distribution is less than 10 so, this not appropriate.
When n = 1000 and p = 0.003,[tex]= np \geq 10\\\\= 1000 \times 0.003 = 3<10[/tex]
The normal distribution is less than 10 so, this not appropriate.
Hence, A Normal distribution to approximate probabilities for a binomial distribution with the given values of n = 100 and p = 0.2.
To know more about Binomial Distribution click the link given below.
https://brainly.com/question/16776778
you buy a shirt that costs 9.99 dollars what is the price with a tax sales is 6 percent
Answer:
$10.59
Step-by-step explanation:
6% of 9.99 is 0.5994, so you round it to 0.60, then add it to 9.99.
-1<9+n<17 and graph the answer after
Answer:
We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
Or we can write as: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Step-by-step explanation:
We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.
Solving the inequality
[tex]-1<9+n<17[/tex]
We know that if a<u<b then we can write a<u and u<b
So, we can write
[tex]-1<9+n \:and\: 9+n<17[/tex]
Solving these equations and finding values of n
[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]
So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]
We can write it as: -10< n and n<8
Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]
The graph is shown is figure attached below:
Please help!! I am struggling on cross-sections
Answer:
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Step-by-step explanation:
Step1. Formulate two real-life problems involving system of linear inequalities in
two variables.
Step2. Solve the problems you formulated accurately. Show complete solution then
graph.
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Got this one wrong can someone help me solve it
Answer:
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Step-by-step explanation:
of evidence from seismic waves heat flow in meteoritesof of evidence from seismic waves heat flow in meteorites from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteoritesof evidence from seismic waves heat flow in meteorites
Find the product of -5 – 4i and its conjugate. The answer is a + bi where
Answer:
Step-by-step explanation:
(-5 - 4i)(-5 + 4i)
25 - 20i + 20i - 16 i^2
25 + 16
41 + 0i
Given complex number is (-5 - 4i).
Therefore, conjugate of this number will be (-5 + 4i)
[Conjugate of a complex number (a + bi) is (a - bi)]
Multiplication of the number and the conjugate of this number will be,
(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²
= 25 - (16i²)
= 25 - (16)(-1) [Since, i² = (-1)]
= 25 + 16
= 41
It can be written in the form a complex form → (41 + 0.i)
Therefore, a = 41 and b = 0.
Learn more,
https://brainly.com/question/1748033
Is (1,1) a solution the equation 2x - y = 1 ?
Answer:
Yes
Step-by-step explanation:
2 times 1= 2
y=1
2-1=1
Yes
Answer:
Yes
Step-by-step explanation:
Substitute the x and y values into the equation.
2(1) - 1 = 1
2 - 1 = 1
1 = 1
Are these correct please help
Answer:
x=x+1 is correct, -6x=-5(x-1)-1x is correct, 7(x-5)=x+13 is correct, x=x is correct, x+4=x+4 is correct.
5(x+2)=25 should go in one solution.
2x+2=2(x+1) should go into infinite solutions.
2x+3=2x+5 should go into no solution.
9x+1=9x should go into no solution.
2x+8=16 should go into one solution.
3x+1=31 should go into one solution.
Step-by-step explanation:
Explanation(s):
5(x+2)=25:
One value of x will equal 25, which is 3. You can solve this in two ways, calculations or graphing. I will show you both ways. You'll get 5x+10 from 5(x+2). Then you can subtract ten from both sides to isolate x, 5x=15. Then divide both sides by five to find what x equals, which is three. By graphing both the equations 5x+10 and y=25, you'll find that both of the lines intersect at (3,25), the x value of the coordinate is what x will equal, and there's only one intersection so there's only one solution.
2x+2=2(x+1):
The equation will be the exact same on both sides, which means all values of x will be a solution. If you were to graph both equations, they'd overlap perfectly, resulting in an infinite amount of intersections.
2x+3=2x+5:
The equation cannot be simplified any further, and 2x+5 is transformed two units above the equation 2x+3. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.
9x+1=9x:
The equation cannot be simplified any further, and 9x+1 is transformed one unit above the equation 9x. If you were to graph both of these equations, they will never intersect for any value of x, which means no solutions.
2x+8=16:
Subtract eight from both sides, then divide both sides by two to get x=4. This means that there is only one solution for the equation. Alternatively, you could graph 2x+8 and y=16, and they will intersect at the point (4,16), which is only one solution.
3x+1=31:
Subtract one from both sides, divide by three to get x=10. There is only going to be one solution for the equation. Graph 3x+1 and y=31 to find that both the lines intersect at (10,31).
Determine x and y
Help me please
Answer:
X-4, Y-5
Step-by-step explanation:
If you look at the shape, you can see that 4 is about the size of x so therefore x is 4. Y standed up straight would be about 1 tic taller than x so therefore y is 5. MARK AS BRAINLIEST PLZ!
4 times 4 times 4 times 4 times4 times 4. Using exponents, the expression is?
Answer:
It will have a 4 and then a five on the top right of it.
Step-by-step explanation:
4^5
Answer:
4^{5}
Step-by-step explanation:
Just basically what the other person said.
4 exponent 5
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Explain it and answer it please.
Please help. I need to know the answer. I will give brainliest
9514 1404 393
Answer:
1 4 8 9Step-by-step explanation:
blank 1
Locate x = 7 and find the y-value where the blue curve crosses.
f(7) = 1
blank 2
Locate x = -9 and find the y-value where the red curve crosses.
g(-9) = 4
blank 3
Locate y = 0 (the x-axis) and find the x-value where the blue curve crosses.
f(8) = 0
blank 4
Locate y = 2 and find the x-value where the red curve intersects.
g(9) = 2
Joe's paint company is making purple paint. The table below shows the amount of red paint to the amount of blue paint in the mixture write on equation that could be used to determine the number of cups of blue point for ony number of cups of red paint
Answer:
for every 4 cups of blue paint there is 1 cup of red paint 4:1
Step-by-step explanation:
Hope this helps :D please mark brainliest
Find the angles a, b, c and d.
Answer:a b and c are 6
Step-by-step explanation:
A coffee shop sells refill mugs for $7.50 each. Each coffee refill costs $1.75. Last month, Cody spent $42.50 on a mug and refills. Which equation can you use to find how many refills Cody bought. (Let x = the number of refills) How many refills did Cody buy last month? 10, 12, 20, or 25
Answer:
cannot see equations to select from but I got '7.50 + 1.75x = 42.50'
20 refills
Step-by-step explanation:
7.50 + 1.75x = 42.50
1.75x = 35
x = 35 / 1.75
x = 20
simply and write in exponential form
(1) p2*p-7
Answer:
[tex] {p}^{2} \times {p}^{( - 7)} = {p}^{(2 - 7)} = {p}^{ - 5}[/tex]
is the right answer.
//////////////////////////////
Answer:
27
Step-by-step explanation:
9³÷3³=729÷27
= 27
Answer:
the answer is 3
Step-by-step explanation:
HELP MEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
115
Step-by-step explanation:
since the line of DC has to equal 180 degrees, you take 180 and subtract 65.
180 - 65 =115
Name the sampling method used in each of the following situations:
a. A woman in the airport is handing out questionnaires to travelers asking them to evaluate the airport's service. She does not ask travelers who are hurrying through the airport with their hands full of luggage, but instead asks all travelers who are sitting near gates and not taking naps while they wait.
b. A teacher wants to know if her students are doing homework, so she randomly selects rows two and five and then calls on all students in row two and all students in row five to present the solutions to homework problems to the class.
c. The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.
d. The librarian at a public library wants to determine what proportion of the library users are children. The librarian has a tally sheet on which she marks whether books are checked out by an adult or a child. She records this data for every fourth patron who checks out books.
e. A political party wants to know the reaction of voters to a debate between the candidates. The day after the debate, the party's polling staff calls 1,200 randomly selected phone numbers. If a registered voter answers the phone or is available to come to the phone, that registered voter is asked whom he or she intends to vote for and whether the debate changed his or her opinion of the candidates.
Answer:
a) Convenient
b) Cluster
c) Stratified
d) Systematic
e) Random
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
Situation a:
Asks all from a single group(sitting passengers), that is, convenint sample.
Situation b:
First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.
Situation c:
The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.
Situation d:
Marks for every fourth patron, that is, every 4th element. So Systematic sampling.
Situation e:
People chosen at random, so Random sampling.
xy(a²+1) - a(x²+y²)
Please help me
Answer:
a^2 xy+xy-ax^2-ay^2
Step-by-step explanation: