Step-by-step explanation:
we have p=proportion of vegetarian students=0.08
a. FALSE.
for normal approximations we must have np>=5 and n(1-p)>=5
here n=60 so np=60*0.08=4.8 which is less than 5.
hence normal approximation is not applicable.
b. TRUE.
for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p
here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c. FALSE.
here, n=125 which is quite large. hence normal approximation is applicable.
let phat be the sample proportion
then phat approximately follows a normal distribution with E[phat]=p=0.08
and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888
hence standard deviation=sqrt(0.0005888)=0.0242652
hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]
12%=0.12 lies in this effective range.
hence it is not unusual.
In this exercise we have to classify whether the statements are true or false:
a) False
b) True
c) False
d) False
e) False
We have: [tex]p=proportion of vegetarian students=0.08[/tex]
a) FALSE.
For normal approximations we must have:
[tex]np\geq 5 \\n(1-p)\geq 5[/tex]
Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex] which is less than 5. Hence normal approximation is not applicable.
b)TRUE.
For binomial proportion , the distribution is right skewed if :
[tex]1-2p>0 \\ 0.5>p[/tex]
Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c) FALSE.
Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:
[tex]E[phat]=p=0.08[/tex]
and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]
Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]
hence effective range of phat is:
[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]
12%=0.12 lies in this effective range. Hence it is not unusual.
d) FALSE.
e) FALSE.
See more about proportion at : brainly.com/question/8704765
What inequality is represented by this graph? 1 7 9 OXSA Xc6
Answer:
OMG OMG OMG OMGOOOOOOOOOOO THANKS FOR 50 POINTS
PLESE HELP WILL MARK BRIANLIEST
Answer:
1. a=-9 b=13 c=-1
2. a=1 b=1 c=-11
LOOK AT THE PHOTO PLEASEEE
Answer:
90
Step-by-step explanation:
Remeber there are 180 degress in a right triangle.
Answer:
y = 90°
Step-by-step explanation:
Y is 90 degrees. The base of the triangle seems to be bisected by a perpendicular bisector. The resulting angles are 90 degrees on both sides. And seeing as 90 is y, x is 20.
To be more precise. We know this is an isosceles triangle, due to the fact that the angle right of 110 must be 70 degrees (they are supplementary angles.) The entire triangle must add up to 180 by the triangle angles sum theorem, and two 70 degree angles add up to 140, meaning the last angle is 40 degrees. That final angle is bisected, meaning each part is 40/2, that's 20.
Have a nice day, fam. Spread The Love.
After painting 3/8 of a fence he finds that he has painted 15 feet
Answer: I'm assuming you want to know how much surface area his fence is, so 40
Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.
Hope this helps :)
Answer:
ok whats the question tho is it the total length of the fence if it is its 40 pretty sure
Step-by-step explanation:
3/8 of the fence lets say x, equals 15 feet
divide 15 by 3/8 to find x which is 40
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.)
Answer:
t = 42857.14 h
Step-by-step explanation:
Given that,
The speed of space shuttle, v = 28000 km/h
We know that, the distance between the Saturn and the Earth is 1,200,000,000 km.
Let t be the time.
As we know, speed = distance/time
So,
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{1,200,000,000}{28000}\\\\t=42857.14\ h[/tex]
So, the required time is equal to 42857.14 hours.
Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answer:
37
Step-by-step explanation:
5/8 - 1/4 simplest form
Answer:
3/8
Step-by-step explanation:
5/8 - 1/4
L.C.M =8
5-2=3
=3/8
Which fraction is greater?
2/3 or 3/8
Answer:
you have to find common denominators first.
Step-by-step explanation:
24 is their common
8x2=16/24
3x3=9/24
your first fraction is larger!
please consider marking me as brainliest! Have an amazing day lovely!
answer:
2/3
explanation:
convert to a decimal then compare the two and the one with the biggest number is greater
What’s the answer and work for this? Someone please tell me
Answer:
Step-by-step explanation:
# 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
12 is a median of a data
Find the average of f(x)=x^3-x over [0,2]
9514 1404 393
Answer:
1
Step-by-step explanation:
The average value of the function is the integral over the interval, divided by the width of the interval.
[tex]\displaystyle\overline{y}=\frac{1}{2-0}\int_0^2{f(x)}\,dx=\left.\frac{1}{2}\left(\frac{x^4}{4}-\frac{x^2}{2}\right)\right|_0^2=\frac{1}{2}\left(\frac{2^4}{4}-\frac{2^2}{2}\right)=\frac{4-2}{2}\\\\\boxed{\overline{y}=1}[/tex]
Pls help BRAINLYEST FOR BEST ANSWER YAYA
Answer:
A) 21
Step-by-step explanation:
Mean:
(23 + 18 + 24 + 15 + 25)/5
105/5
21
Answer:
21
The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.
whats the answer to 10/y = 2/9
Answer:
y=45
Step-by-step explanation:
Answer:
=45
Step-by-step explanation:
Find the area between y=-x and y=x at [0,3]
Answer:
don't listen to the other person
Step-by-step explanation:
Don’t know how to solve, help ?
Step-by-step explanation:
180 - 120 = 60
32 + 60 = 92
180 - 92 = 88
You are buying a new internet service. The service costs $75 per month. In the equation below, d is the total number of dollars that you pay for your service, and t is the time (in months) that you keep the service.
The relationship between these two variables can be expressed by the following equation:
d=75t
Identify the dependent and independent variables.
Dependent variable Independent variable
The total number of dollars you pay {} {}
The time in months you keep your service {} {}
Answer:
independent Variable
Step-by-step explanation:
Because we already know that x=75, and that a independent variable is An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.
Imagine you deposit $4,500 into an account that pays 5,5 percent interest compounded
daily. How much interest will you earn in 30 days?
Answer:
500
Step-by-step explanation:
Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.
How many people can she feed with 30 pounds of turkey?
Answer:
yeah 10 people
divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah
can someone help me answer these two questions i will give you brainliest
Convert .45 tons to kilograms to the nearest hundredth
Answer:
40,823.31 kilograms.
Step-by-step explanation:
Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
Rounded to the nearest cent, over 5 years she will earn $ 916.89.
Step-by-step explanation:
Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:
650 x (1 + 0.07 / 2) ^ 5x2 = X
650 x (1 + 0.035) ^ 10 = X
650 x 1,035 ^ 10 = X
916,889 = X
Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.
Answer: 1125.41
Step-by-step explanation:
First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula
A(t)=d((1+r/n)n⋅t−1)r/n
to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.
A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)
Simplifying gives
A(5)=$650 ((1.035)10−1)/(0.035),
thus
A(5)=$7,625.41.
The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into
A(5)=D5+I5
and solve for I5. This gives
$7,625.41=$6,500+I5,
yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.
What is the equation of the circle shown in the graph?
6 9 12 36
combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP
which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.
When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.
What is the median fit method?This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.
As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.
Find out more on the median fit method at https://brainly.com/question/23298464.
#SPJ2
Answer: C
Step-by-step explanation:
Maureen Ritter is paid $275 a week and a commission of. 7% on all sales. Her sales last week were $3,904. What were her total earnings for the week?
Answer:
548.28
Step-by-step explanation:
you want to take the original pay ( $275 ) and push that to the side.
take 3,094 and find 7% of that, which would be 273.28
lastly you want to take 273.28 and add the original pay of 275.
273.28 + 275 = 548.28
so her total pay for the week was 548.28
5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3
Answer:
B
Step-by-step explanation:
The volume of a prism is the area of the cross section x length
The area of the cross section:
Area of a triangle = [tex]\frac{base * height}{2}[/tex] so [tex]\frac{6*4}{2} = 12[/tex]
12 x 16 = 192 so B
Answer:
Step-by-step explanation:
Tara has two bags of marbles. Bag 1 contains 6 red marbles, 5 blue marbles, and 4 green marbles. Bag 2 contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a red marble from each bag?
Answer: 26 - 6
Step-by-step explanation: i think sorry if rong
9. Dawn has 338 peanuts and 13 boxes. If she wants to pack an equal number of peanuts in each box, how many peanuts will there be in each box?NO HACKERS AND I NEED ANSWERS QUICK
Answer:
26 in each box
Divide the total of 338 peanuts by 13 boxes (338÷13=26)
(-6) (-7)= equals what?
Answer: 42
Step-by-step explanation:
A negative number times a negative number will have a positive product.
(-6)(-7)=42
Hope this helps
What is the common ratio of the geometric sequence below 18,-6,2,-2/3
Answer:
-1/3 is common ratio
Step-by-step explanation:
ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole minutes each day? explain.
Answer:
no, 202 is not evenly divisible by 5
Step-by-step explanation: