Answer:
You must survey 784 air passengers.
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].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/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].
Assume that nothing is known about the percentage of passengers who prefer aisle seats.
This means that [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
Within 3.5 percentage points of the true population percentage.
We have to find n for which M = 0.035. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.035 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.035\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.035}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.035})^2[/tex]
[tex]n = 784[/tex]
You must survey 784 air passengers.
If g(x) = f(4x), which statement is true?
Answer:
I believe its the last answer.
Step-by-step explanation:
-3 > t+5/-1
can someone plz solve this inequality
What is the area of the part that is not shaded.
Answer: 48
Step-by-step explanation:
big square is 64, shaded square is 16
64-16= the unshaded region
Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65
Answer:
True
Step-by-step explanation:
When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60
i hope that this helps you :)
I need help with my homework
Alice sells bracelets 10 for $5. How much does 1 bracelet cost?
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
Because Alice sells 10 bracelets for 5 dollars, you have to do 10/5 which is equal to 2. Therefore, 1 bracelet cost $2.
I don’t know what to do
Answer:
i think it would be the first one i am not 100% sure just a gues
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x+3y=-12
Answer: 3
Step-by-step explanation:
Find slope of that line which is -1/3x-4
then flip its sign and the equation to get 3
at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there on the farm
3 : 5
x : 125
125 ÷ 5 = 25
25 × 3 = 75
no. of hens = 75
what is the equation to 3x+2x+-x
Answer:
the answer qould be 4x if you are just simplifying
which is equivalents to 9/8
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
Solve using substitution
x-y= 6
4x+2y=36
the u.s. landfill contained a total of 200 million tons of trash how many more million tons of trash has been paper than Rubber and leather?
Answer:
9,160,000 tons
Pancake Palace puts a pint of maple syrup on each one of their 16 tables. The owner is filling the syrup bottles before the restaurant opens. If the bottles are half full, how many quarts would he need to fill the bottles?
Answer:
64 quarts of maple syrup needed
Step-by-step explanation:
There are a total of 2 quarts in a 1 pint. Therefore, since there are a total of 16 tables and each one has 1 pint, then there are a total of 16 pints in the restaurant. If we multiply this by 2 we get the total amount of quarts of maple syrup in all of the tables
16 * 2 = 32 quarts of maple syrup
Since the bottles are only half full we need to multiply this amount by 2 in order to get the total syrup needed to have all of the bottles filled completely.
32 * 2 = 64 quarts of maple syrup needed
Answer:
4 Quarts
Step-by-step explanation:
You need to find how much maple syrup the owner needs to fill the bottles. But first, you need to find how much syrup the bottles hold in all.
There are 16 bottles. Each bottle holds 1 pint of maple syrup. So, the bottles hold a total of 16 pints of syrup.
Now, find how much maple syrup the owner needs. The bottles hold a total of 16 pints of syrup. Because they are half full, divide by 2.
16÷2=8
The owner needs 8 pints of maple syrup, but the problem asks about quarts. So, find how many quarts are equal to 8 pints. There are 2 pints in a quart, so divide by 2.
8÷2=4
The owner needs 4 quarts of maple syrup to fill the bottles.
Please answer quick and just write explanation quick pls hurry quick for brainlessly uu
Answer:
35 (C)
Step-by-step explanation:
Answer:
B) 30
Step-by-step explanation:
This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.
can anyone help me pls? i will give brainliest :)
PLEASEEEEE SOMEBODY CAN YOU LOOK AT THE ATTACHMENTS ITS MATH IM OFFERING A 69 POINTS
I don't know sorry but I recommend using quizlet
????????????????????????????
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
Which is the solution to the inequality? 2 3/5 <b - 8/15
A. b<2 1/15
B. b>2 1/15
C. b<3 2/15
D. b>3 2/15
PLS NO CHEATING. I RLY NEED THIS. IF U DONT CHEAT I WILL MARK BRAINLIEST
Step-by-step explanation:
i think it's a b and answer my new question it's 100 point question I really need the answer pls help me
Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]
Then compute critical points of a derivative
[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].
Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].
You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.
The answer is [tex]-\sqrt{2}[/tex].
Hope this helps.
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length
a = 30°, s = 9in
Answer:
17.2 in
Step-by-step explanation:
The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:
r = s/Ф
So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in
A student earned a grade of 80% on a math test that had 35 problems. How
many problems on this test did the student get correct?
Round your answer to the nearest whole.
Answer:
28
Step-by-step explanation:
Answer:
The student got 28 questions correct and 7 wrong.
What is the area of the polygon given below?
A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units
Answer:
○ B. [tex]\displaystyle 186\:square\:units[/tex]
Explanation:
All edges conjoin to form right angles, therefore you have these:
[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]
OR
[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]
I am joyous to assist you at any time.
Select all the expressions that are solutions to 9 = 1/3x
Answer:
first and last expressions are correct.
One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ 2a + b = 783
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
What is the probability that a six sided dice rolls on the four and the card is a heart
Answer:
4/6
Step-by-step explanation:
the total time the dice roll over four.. which is also 4/6
I need help ASAP ! I’ll give anyone 5 stars for the correct answer
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]
A quarter falls off a building that is 144
feet tall. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is
time in seconds and h(t) is height in
feet, how many seconds will it take for
the quarter to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is
[tex]h(t)=-16t^2+\text{Initial height}[/tex]
The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]
[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]
So, time taken by the quarter to reach the ground is 3 seconds.
Write an expression for the following statement:
“Twice a number is subtracted from eighteen”
Answer:
Expression of the statement = 18 - 2x
Answer:
18 - 2x
Step-by-step explanation: