Answer:
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 36 - 1 = 15
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.947
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.947\frac{7}{\sqrt{16}} = 5.16[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 18 - 5.16 = 12.84 minutes
The upper end of the interval is the sample mean added to M. So it is 18 + 5.16 = 23.16 minutes
The 99% confidence interval for the mean time spent waiting in line by all passengers at this airport is between 12.84 minutes and 23.16 minutes. It means that we are 99% sure that the truw mean waiting time for all passengers in this airport is in this interval.
Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume.
Answer:
sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]
Step-by-step explanation:
if f (x) = √(3) ×cos(x) + 3×sin(x) , then f َ(π/3)
Answer:
2sqrt(3)
Step-by-step explanation:
.............
A local hair salon has 6 2/3 gallons of shampoo to split among 5 hairdressers. How much shampoo will each hairdresser receive?
Answer:
1 1/3 gallons of shampoo
Step-by-step explanation:
The above question is calculated as:
5 hairdressers = 6 2/3 gallons of shampoo
1 hairdresser = x gallon
We cross Multiply
5 hair dressers × x gallon = 6 2/3 gallons × 1 hair dresser
x gallon = 6 2/3 gallons × 1 hair dresser/5 hair dressers
x gallons = 6 2/3 gallons ÷ 5
x gallons = 20/3 gallons ÷ 5
= 20/3 × 1/5
= 4/3
= 1 1/3 gallons of shampoo
Therefore, each hair dresser would receive 1 1/3 gallons of shampoo
Find a. brainliest!!
Answer:
what are you trying to find.How many degrees to z or y
Step-by-step explanation:
Please answer and show how you got them
Answer:
Point form:
1:
(1,2)
Equation form:
1, y = 2
2:
Point form:
(3,0)
Equation form:
x = 3,y,=0
Step-by-step explanation:
a youth organisation collected nickels and dimes for a charity drive. by the end of the 1 day drive, the youth had collected $45.90. if there were four times as many dimes as nickels,how many of each type of coin was collected?
Answer:
Ok Now this is Hard for me Lets Just Say That Its 1 each day if though its not the answer
Step-by-step explanation: anyway Nothing
Simplify -6(a +8) can someone help me with that with the steps included
Answer:
−6(a+8)
=(−6)(a+8)
=(−6)(a)+(−6)(8)
=−6a−48
Step-by-step explanation:
multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48
Use the table to solve the inequality -3x<3
Answer:
what table
Step-by-step explanation:
Answer:
x
≥
−
1
Step-by-step explanation:
You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?
Answer:
Step-by-step explanation:
we know that 1 lb=16oz
16 oz almonds = costs 8 dollars , we divide the cost to oz
8/16=0.5 dollars / oz
4.10/0.5=8.2 oz
for 4.10 dollars you buy 8.2 oz
1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?
hola. én gou. hul gh ghî
An elevator can carry up to 2,500 pounds. Suppose the weight of an average adult is 150 pounds. At most how
many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p
represent the number of people who can safely ride the elevator.
Answer:
16
Step-by-step explanation:
2500/150=16 2/3
but we dont want 2/3 of a person so just ignore that part
im in a hurry sorry
Answer:
16
Step-by-step explanation:
assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.
Alexandra read 3/7 of the pages in her 112-page book. How many pages has she read already?
Answer:
48 pages
Step-by-step explanation:
112÷7=16 so 3x16=48
Evaluate 42,147÷63. Round to the nearest whole number, if necessary.
Please help
Answer: 669
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Answer . m= -1/8
Step-by-step explanation:
The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
Can you please help me !!
Step-by-step explanation:
i think 2 because the 10 could be divided by 5
which would give you
r ^2 + 2
1. 2
You pay $6.59 for 8 ounces of black pepper
What is the price in dollars per ounces?
dollars per ounce
How many ounces do you get for a dollar?
ounces per dollar.
Answer:
0.82375
Step-by-step explanation:
6.59 / 8 = 0.82375 oz / dollar
if correct, pls mark 5 star, thanks, and brainliest!
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
Answer:
a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Step-by-step explanation:
Binomial distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
To use the Poisson approximation for the binomial, we have that:
[tex]\mu = np[/tex]
1 in every 2500 automobiles produced has a particular manufacturing defect.
This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]
a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.
This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]
0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.
Using the approximation:
[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]
0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Solve for x: 0.03x - 1.2 = 0.24
Answer:
920
Step-by-step explanation:
A cylindrical can of paint has a volume of 200pi cubic inches.
What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?
Answer:
Step-by-step explanation:
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
I knw don't know how to make
Answer:
Step-by-step explanation:
Bill drove 240 miles in 4 hours. On another day, he drove 480 miles in 8 hours. What is the constant of proportionality?
Answer:
12
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
Please help out! Fast
Answer:
40, 15, 2.5
Step-by-step explanation:
If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.
If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.
Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5
Whoever answers number 1 and 2 gets brainliest!! :)
Answer:
1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.
2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!
Step-by-step explanation:
help! please look at the picture, the answer is needed quick the explanation doesn't matter. Thanks!
Step-by-step explanation:
49
only the positive 49
hope this helps bro!!
1.
Which expression is equivalent to "the second power of (8 - 3)"?
O A 53
B. 83
c. 52
D. 2(8 - 3)
Answer:
[tex](8 - 3)^2 = 5^2[/tex]
Step-by-step explanation:
Given
[tex](8 - 3)[/tex]
Required
Determine the second power
The second power of an expression is the square of the expression.
So, the second power of [tex](8 - 3)[/tex] is
[tex](8 - 3)^2[/tex]
Solving further:
[tex](8 - 3)^2 = 5^2[/tex]
Hence:
Option (c) is correct
Determine whether the relation is or is not a function.
Answer:
Not a function because it does not pass the Vertical Line Test.
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4
Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15
Answer:
I think 39
Step-by-step explanation: