Answer:
358 randomly selected air passengers must be surveyed.
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 given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
Assume that a prior survey suggests that about 22% of air passengers prefer an aisle seat.
This means that [tex]\pi = 0.22[/tex]
How many randomly selected air passengers must you survey?
We need a sample of n, and n is found for which [tex]M = 0.051[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.051 = 2.327\sqrt{\frac{0.22*0.78}{n}}[/tex]
[tex]0.051\sqrt{n} = 2.327\sqrt{0.22*0.78}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.22*0.78}}{0.051}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.22*0.78}}{0.051})^2[/tex]
[tex]n = 357.2[/tex]
Rounding up
358 randomly selected air passengers must be surveyed.
The measurements of 11 fish caught during an angling competition are recorded.
A scatter diagram is then drawn using the information.
750
One of the points is an outlier.
a) Write down its coordinates.
700
650
Weight (9)
(1)
b) What type of correlation is shown by
all the other points?
600
X
550
c) A 12th fish is caught during the session.
It has a length of 40 cm.
Estimate its weight (in g).
500
30
35
50
55
40 45
Length (cm)
Total marks: 3
Answer:
Step-by-step explanation:
A) = (35,?)
B) = POSITIVE
C) = 601
Answer:
Step-by-step explanation:
"Hunter read 40 pages in his history book in
one hour.
Rate of change is
Easiest way to calculate 22% mark up from a cost of say 39.99
Answer:
The markup amount on the cost 39.99 $ will be: 8.78 $
Step-by-step explanation:
Given
The cost = 39.99 (Let say in $)Mark up = 22%As
22% = 0.22
The markup of 22% on the cost can be calculated by multiplying the cost by 22% or 0.22
so
Markup amount = 0.22 × 39.99
= 8.78 $
Therefore, the markup amount on the cost 39.99 $ will be: 8.78 $
What number can be a common denominator for 3/4 and 1/8
Answer:
8
Step-by-step explanation:
3/4 = 6/8
Answer:
of course8 cause common can be like
4×2Need this quick please!
Select the correct answer.
1+ 3
Which expression is equivalent to 12 - 21
-
12 + 21 - 3
I +1 if no denominator equals zero?
3
O A
o
B.
1
12 – 21 – 3
1
12 – 40 + 3
1
12 + 2.1 – 3
I + 3
1+1
OC.
OD
Answer:
C is the answer i think
Step-by-step explanation:
The data distribution is ___
Answer:
skewed left
Step-by-step explanation:
A brand of frozen green beans lists a weight of 32
ounces on its bag. Because of variability in the
manufacturing process, the bags often contain slightly
more, or less, than 32 ounces of green beans. An
inspector takes a random sample of 25 bags of green
beans and records their weights. The weights and their
relative frequencies are summarized in the histogram
below.
Which is true about the bags of green beans in the sample?
a- twenty percent of the bags have a weight below 32.2 ounces
b- sixty percent of the bags have a weight over 32.2 ounces
c- eighty percent of the bags have a weight over 32.2 ounces
d- the interval from 32.3 to 32.4 contains the highest proportion of bags
Answer:
sixty percent of the bags have a weight over 32.2 ounces
Step-by-step explanation:
answer is B
If 10% of a number is 36 and 55% of the same number is 198, find 45% of that number.
9514 1404 393
Answer:
162
Step-by-step explanation:
There are many ways to work this. Perhaps the simplest is to recognize that 45% of the number is the difference between 55% of it and 10% of it.
0.55n -0.10n = 0.45n
198 -36 = 0.45n = 162
45% of the number is 162.
_____
If you like, you can find the number as ...
0.10n = 36
n = 36/0.10 = 360
Then you can verify (if you like), that 55% of it is 198:
0.55(360) = 198 . . . . true
Finally, you can figure 45% of it:
0.45(360) = 162
__
Using proportions, you can determine the number to be ...
36/0.10 = n/0.45
n = 0.45(36/0.10) = 4.5(36) = 162
A 16-foot ladder must reach 13 feet up a building. What's the measure of the angle
that the ladder makes with the ground?
OA) 39.090
OB) 3.6°
C) 54.34°
D) 35.66°
The correct answer is C) 54.34°.
3. Kirk wanted to open a savings account with the $2,000 he had earned over the summer. If the bank's interest rate is 5%, how much will he have in 2 year? Show your work.
Answer:
$200 sorry if im wrong i tried
Step-by-step explanation:
to calculate the 5 percent: 2000/100=20 20x5=100
so 100x2=200
Help me please omg. Am having trouble with this.
Answer:
Part A 225-81=144
Step-by-step explanation:
1. 15×15 =225
2. 3×3×3×3 =81
select all the expressions that all have the following quotient 2m+3
Answer:
1, 2 and 4
Step-by-step explanation:
1.32m2/16m +48m/16m =2m +3
2.4m2/2m +6m/2m =2m+3
4.10m2 /5m +15m/5m= 2m+3
What is the area of this figure?
28 yd²
40 yd²
52 yd²
64 yd²
Answer: A= s^2 <- for a square
A= 1/2*b*h <- for a triangle
A= 4^2= 16
A= 1/2*8*6 (The whole height is 8 yd)
A= 1/2*48
A= 24
24+16= 40 yd^2
"B" is the answer.
I hope this helps!
Step-by-step explanation: A= s^2 <- for a square
A= 1/2*b*h <- for a triangle
A= 4^2= 16
A= 1/2*8*6 (The whole height is 8 yd)
A= 1/2*48
A= 24
24+16= 40 yd^2
"B" is the answer.
I hope this helps!
Answer:
40 yd²
Step-by-step explanation:
took test :)
1. A school store sells pencils and erasers before school opens each day. On Monday, 13 pencils and
10 erasers were sold for $16.75. On Tuesday, 25 pencils and 2 erasen were sold for $19.85. What
is the price of a pencil? What is the price of an eraser.
Answer:
price of pencil is 0.74 and eraser is 0.72$
Step-by-step explanation:
Let, "p" represent pencils
and "e" represents erasers.
hence, according to question
13p+10e=16.75 ________(1)
and 25p+2e=19.85________(2)
Multiplying equation (2) by 5,
hence, 125p+10e=99.25________(3)
Substracting equation (3) and (1)
125p+10e-(13p+10e)=99.25-16.75
hence, 112p=82.5
p=0.74
substituting the value in equation (1),
13(0.74)+10e=16.75
9.57+10e=16.75
on solving,
e=0.72
hence, price of one pencil is 0.75$, and price of one eraser is $0.72
I have 1 litre of water in a jug. On the way to my table I spill some. I have 780ml left. How much have I lost?
Step-by-step explanation:
1 litre = 1000ml
780ml left
lost amount = 1000 - 780 = 220ml
P varies directly as q. When q=31.2,p=20.8. Find p when q=15.3.
Answer:
a) p = 10.20
Step-by-step explanation:
Step(i):-
Given that p varies directly as q
p ∝ q
⇒ p = k q
where 'K' is proportionally constant
given p =20.8 and q = 31.2
p = k q
⇒ 20.8 = k (31.2)
[tex]k = \frac{20.8}{31.2}[/tex]
k = 0.666
Step(ii):-
p = k q
Given that q = 15.3 and k = 0.666
p = 0.666 ×15.3 = 10.20
r-4.5<11
Helpppp meeee
Answer:
15.4, 15.3, 15.2...
Step-by-step explanation:
I think this is right, lemme know if it isnt and Ill try to work it out again :D
The Martin family's truck gets an average of 24 miles per gallon. Predict how many miles they can drive using 5 gallons of gas.
Answer:
120 miles
Step-by-step explanation:
just take 24*5 to get how many miles they can travel which would be 120 miles
Please answer this correctly without making mistakes
Answer:
1 mi 1927 ft
Step-by-step explanation:
Turn everything into feet:
5mi x 5280 ft/1 mi = 26,400ft + 1,348 ft = 27, 748 ft
3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft
Do the subtration that the problem wants you to do:
27, 748 ft - 20,541 ft = 7,207 ft
Turn the answer into mi & ft:
7,207 ft - 5280 ft = 1927 ft
=
1 mi 1927 ft
7 - 2x - 5y=-7
3x + 4y = 7
Help!!
A class rolled number cubes. Their results are shown in the table.
What is the experimental probability of rolling a number less than 5?
67.8%
49.5%
34.4%
84.7%
Answer:
A. 67.8%
Step-by-step explanation:
the total number of occurences are 202
Now the total number of occurencess for 4 and below are 137
So Heres the quickest way to do it: Divide 137 by 202 then multiply it by 100 being 100%
Then you would get 67.8, then well put the percent sign behind it.
I WILL GIVE BRAINLIEST The fuel efficiency of Natalie's car is 25 miles per gallon. Which of the following statements are true? Select two that apply.
a. For every mile Natalie travels, she uses 25 gallons.
b. For every gallon Natalie uses, she travels 0.04 miles.
c. For every mile Natalie travels, she uses 0.04 gallons.
d. For every gallon Natalie uses, she travels 25 miles.
Answer:
The fuel efficiency of Natalie's car is 25 miles per gallon. Which of the following statements are true? Select two that apply.
a. For every mile Natalie travels, she uses 25 gallons.
b. For every gallon Natalie uses, she travels 0.04 miles.
✓c. For every mile Natalie travels, she uses 0.04 gallons.
✓d. For every gallon Natalie uses, she travels 25 miles.
C. and D. are the right answer.
Based on the information given about the distance, the correct options include:
c. For every mile Natalie travels, she uses 0.04 gallons.d. For every gallon Natalie uses, she travels 25 miles.Solving the DistanceFrom the information, the The fuel efficiency of Natalie's car is 25 miles per gallon.
Therefore, it should be noted that for every mile Natalie travels, she uses 0.04 gallons and for every gallon Natalie uses, she travels 25 miles.
Learn more about distance on:
https://brainly.com/question/17273444
Help plz will give brainliest!
Answer:
ExponentialStep-by-step explanation:
Which best describes the triangle
Answer:
scalene
Step-by-step explanation:
all sides have differing length
thank, 5 star, and brainliest if helpful!
Answer:
B
Step-by-step explanation:
A scalene triangle means all sides lengths are different and that would be the case here.
If the distance from point P to point L is the same as the distance from point P to point C, then P is on
Answer:
This answer is C, it is on the perpendicular bisector of segment LC.
Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL. You will note that LC (if you connect those points) will become the perpendicular bisector to point P.
I hope that makes sense.....
Step-by-step explanation:
С
What is the solution to the equation 3x ÷ (-6) = -12?
Answer:
x=24
Step-by-step explanation:
First: Multiply -6 to both sides
Next: You get 3x=72
Then: Divide 72 by 3
Last:....
ANSWER: x=24
hi !! the answer is x= -24 :))
Pls help I’ll brainlest for the right answer due today
Answer:
$51.75
Step-by-step explanation:
46 x 1.125 = 51.75
Answer:
The retail price is $51.75.
Step-by-step explanation:
If the original price is $46, and the markup is 12.5 percent, you need to:
46 dollars x 1.125 = 51.75 dollars.
Hope this helps! Please give me Brainliest if you feel this helped. Have a good day and a good rest of 2021, best of luck with your classes.
For the equation y = - 3x + 2 2. determine the value of y when x = 2?
Answer:
y=16
Step-by-step explanation:
x=2
y=-3x+22
y=-3(2)+22 then y=-6+22, y=16
The Tanners have received an $8000 gift from one of their parents to invest in their child’s college education. they estimate that they will need $20000 in 12 years to achieve their educational goals for their child. What interest rate compounded semiannually would the Tanners need to achieve this goal?
Answer:
3.4%
Step-by-step explanation:
For given problem:
P=8000
n=2*12=24 compounding perods
A=12000
A/P=(1+i)^24
12000/8000=(1+i)^24
1.5=(1+i)^24
take log of both sides
log1.5=24log(1+i)
log1.5/24=log(1+i)
.007337=log(1+i)
10^(.007337)=1+i
1+i=1.017
i=1.017-1=.017 (interest rate per compounding period)
annual interest rate=2*.017=.034 or 3.4%
Which statement about this graph is not true?
Answer:I n no
Step-by-step explanation:
