Answer:
CI = ( 0, 042 ; 0,079 )
Step-by-step explanation:
If from 884 , 831 disks were OK then 884 - 831 = 53 were defective
x = 53
p = 53/884 p = 0,0599 or p = 5,99 % p ≈ 6 %
and q = 1 - 0,06 q = 0,94
p*n and q*n are big enough
For CI 98 % significance level is α = 2 % α/2 = 0,01
z(score) for α/2 = 0,01 is
z(c) ≈ 2,324
CI = p ± z(c) *√p*q/n
√p*q/n = √ ( 0,94*0,06)/884
√p*q/n = √ 0,0564/884
√p*q/n = 0,00799
CI = ( 0,06 ± 2,324*0,00799)
CI = ( 0,06 - 0,0185 ; 0,06 + 0,0185 )
CI = ( 0, 042 ; 0,079 )
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
he figure below is a right rectangular prism with rectangle ABCD as its base.
A rectangular prism is shown. Rectangles A B C D and W X Z Y are the bases. The length of A D is 9 centimeters and the length of C D is 2 centimeters. The height of A W is 6 centimeters.
What is the area of the base of the rectangular prism?
square centimeters
What is the height of the rectangular prism?
centimeters
What is the volume of the rectangular prism?
cubic centimeters
Answer:
18, 6, 108
Step-by-step explanation:
The figure below is a right rectangular prism with rectangle ABCD as its base.
A rectangular prism is shown. Rectangles A B C D and W X Z Y are the bases. The length of A D is 9 centimeters and the length of C D is 2 centimeters. The height of A W is 6 centimeters.
What is the area of the base of the rectangular prism?
✔ 18
square centimeters
What is the height of the rectangular prism?
✔ 6
centimeters
What is the volume of the rectangular prism?
✔ 108
cubic centimeters
Answer:
18, 6, 108
Good Luck!
Mike gets an 8% commission on the sporting goods that he sells.one day he sold sporting goods worth 1,384 find his commission for that day
Given:
Mike gets an 8% commission on the sporting goods that he sells.
One day he sold sporting goods worth 1,384.
To find:
The commission for that day.
Solution:
According to the given information,
Commission = 8% of total sales of sporting goods
One day he sold sporting goods worth 1,384. Then, the commission for that day is
[tex]\text{Commission}=\dfrac{8}{100}\times 1384[/tex]
[tex]\text{Commission}=\dfrac{11072}{100}[/tex]
[tex]\text{Commission}=110.72[/tex]
Therefore, the commission for that day is 110.72.
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let p^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆN represent the sample proportion of bags packaged on the new machine that are damaged, pˆC represent the combined proportion of damaged bags from both machines, and nO and nN represent the respective sample sizes for the old machine and new machine.
Required:
Have the conditions for statistical inference for testing a difference in population proportions been met?
Answer:
The conditions for the approximation have been met
Step-by-step explanation:
Random samples on both cases and
p∧o proportion of bags packaged on the old machine that are damaged
p∧n sample proportion of bags packaged on the new machine that are damaged
p∧c = ( p∧o + p∧n ) / (nO + nN )
p∧o = 15 % p∧o = 0,15 nO = 150
p∧o * nO = 0,15 *150 p∧o * nO = 22,5
p∧n = 8 % p∧n = 0,08 nN = 200
p∧n*nN = 0,08 * 200 p∧n*nN = 16
Both p∧n*nN and p∧o * nO are bigger than 5
Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution
Jobs arrive at the server at the rate of 8 jobs per hour. The service takes 3 minutes, on the average. This system is modeled by the Bernoulli single-server queuing process with 5-second frames and capacity limited by 3 jobs. Write the transition probability matrix for the number of jobs in the system at the end of each frame.
Answer:
2249 / 540000
Step-by-step explanation:
Jobs arrival time = 8 jobs per hour
Service takes 3 minutes on average
Frame size = 5 second
capacity of each frame = 3 jobs
Determine the transition probability matrix for number of jobs in system
First step : find probability of job arrival
= 8 / ( 5 * 3600)
= 8 / 18000 = 1 / 2250
next : determine probability of service
= ( 3 * 5 )/ 3600
= 15 / 3600 = 1/240
Finally the transition probability matrix ( p10 )= { 1, 0}
= probability of service(1 - probability of arrival)
= 1/ 240 * ( 1 - 1 / 2250 )
= 1 / 240 * ( 2249 / 2250 )
= 2249 / 540000
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
HELP PLSSSSSSSSSSSSSSSSSSSSSSS
Answer:
3) not equivalent
4) equivalent multiply by 2
5) equivalent multiply by 2
I need help plzz I need help plzz
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
Eddie purchases 72 feet 6 inches of fencing and finds that he needs 7 feet 8 inches more fencing to finish fencing his back yard.
What is the total length of fencing that Eddie needs?
A.) 79 feet 16 inches
B.) 79 feet 12 inches
C.) 30 feet 2 inches
D.)80 feet 4 inches
Answer:
The answer is C
Step-by-step explanation:
Benny sees an inflatable beach ball for sale at a pool store. The packaging says that the ball has a diameter of 20 inches. Benny purchases and inflates the
ball. What is its volume?
O A 400x
3
in
OB. 1,0007 in
0 C 4,000
in3
D
32,000
3
in?
Answer:
Volume of beach ball = 4176.2 inch³ (Approx.)
Step-by-step explanation:
Given:
Diameter of beach ball = 20 inches
Find:
Volume of beach ball
Computation:
Radius of beach ball = Diameter / 2
Radius of beach ball = 20 / 2
Radius of beach ball = 10 inches
We know that beach ball is a sphere shape
So,
Volume of beach ball = Volume of sphere
Volume of sphere = [4/3][π][r³]
Volume of beach ball = [4/3][π][r³]
Volume of beach ball = [4/3][22/7][10³]
Volume of beach ball = [1.33][3.14][1,000]
Volume of beach ball = 4176.2 inch³ (Approx.)
Help me with this please
when I did this it was C for me
20 POINTS NEED HELP ASAP!!! PLS PUT EXPLANATION ALSO!!
1)Based on the results of the simulation, the chances of a group having at least one senior is______ unlikely, neither unlikely or likely, likely
2)Based on the results of the simulation, the chances of a group having more than two freshmen is________ unlikely, neither unlikely or likely, likely
3)Based on the results of the simulation, the experimental probability of a group having four students from the same grade level is __%
4)Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain one student from each grade level? Round your answer to the nearest number of groups. ________groups
5) Based on the results of the simulation, if 115 groups are formed, about how many of them would you expect to contain at least two freshmen? Round your answer to the nearest number of groups. 18 groups, 23 groups, 15 groups, 12 groups.
Answer:
1) 19/25 likely
2)5/25 unlikely
3) 2/25 = 8%
I have to go so I cant finish 4 and 5 but I hope this helped
Step-by-step explanation:
1) this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 19 of those 25 groups contain at least one senior. this is 76% and is over 2 thirds so it is likely
2) again this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 5 of those 25 groups contain at least 2 freshmen. this is 20% and is under 1 third so it is unlikely
3)again this is based just on the results so we don't have to do any probability tree or anything. there are 25 groups overall and 2 of those 25 groups contain four students from the same grade level. this is 8% and so is unlikely.
I Need Help!!! PLEASE HELP!!!!!!!!
Answer:
Maybe B?
Step-by-step explanation:
Judy built a rectangular patio that is 9 units wide and has a perimeter of 40 units.
Which image correctly labels the given information?
Answer:
See attachment for image
Step-by-step explanation:
Given
[tex]Width = 9[/tex]
[tex]Perimeter = 40[/tex]
Required
The image that illustrates the patio
The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.
But first, the length of the patio must be calculated using perimeter formula
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]40 = 2 *(Length + 9)[/tex]
Divide both sides by 2
[tex]20 = Length + 9[/tex]
Solve for Length
[tex]Length = 20 - 9[/tex]
[tex]Length = 11[/tex]
This implies that the dimension of the patio is 11 units by 9 units (See attachment)
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
a golfer hits a ball with an initial velocity of 120ft/sec so that its path as it leaves makes a 23 ° angle with the horizontal. About how long will it take for the ball to hit the ground?
Answer:
the time taken for the ball to hit the ground is 9.4s
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
HOPE THIS HELPS
please please i need help i did not understand it
Answer:
h = 20 ftStep-by-step explanation:
Given,
Volume = 5600 sq.ft
Length = 35 ft
Width = 8 ft
Therefore,
By the problem,
[tex]height = \frac{volume}{length \times width} [/tex]
[tex] = > h = \frac{5600}{35 \times 8} ft[/tex]
=> h = 20 ft (Ans)
Please help ill give you BRAINLIEST. No links please
Answer:
m(arc FE) = 166°
Step-by-step explanation:
By theorem of intersecting chords and tangent of a circle,
Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.
m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
m(arc FE) = 166°
What is the perimeter of a triangle with side lengths of 5 cm, 8 cm, and 9 cm?
9 cm
22 cm
13 cm
30 cm
g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distributed with mean $39725 and standard deviation $7320. Suppose a school takes a sample of 125 such graduates and records the annual starting salary of each. The probability that the sample mean would be at least $39000 is about
Answer:
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean $39725 and standard deviation $7320.
This means that [tex]\mu = 39725, \sigma = 7320[/tex]
Sample of 125
This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}}[/tex]
The probability that the sample mean would be at least $39000 is about?
This is 1 subtracted by the pvalue of Z when X = 39000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{39000 - 39725}{\frac{7320}{\sqrt{125}}}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
What is the square root of 36542
Answer:
191.159619167
Step-by-step explanation:
A car travels a distance of 50km in 30mins. what is the average speed?
Answer:
r = 100 km/hr is the average speed of the car.
Step-by-step explanation:
The formula which relates distance d, time t, and speed or rate of travel r is:
d = rt.
We're given that the distance traveled d = 50 km and the time t traveled = 30 minutes = 1/2 hr. Substituting this given information into the distance-rate-time formula for d and t to find r, we get:
50 km = r(1/2 hr)
Now, dividing both sides by 1/2 hr, we have:
50 km/(1/2 hr) = [r(1/2 hr)]/(1/2 hr)
50 km/(1/2 hr) = r[(1/2 hr)/(1/2 hr)]
[50 km/(1/2)] km/hr = r[(1/2 hr)/(1/2 hr)]
50(2/1) km/hr = r[1]
100 km/hr = r[1]
r = 100 km/hr is the average speed of the car.
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answer:
C- are moving close together very quickly and then very far apart suddenly
(Look at pictures)
Geometry
(Plz answer fast ill give all points and brainly)
Answer:
D
Step-by-step explanation:
Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.
Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.
Determine if the following relations are functions. If they are functions, also state the domain and range.
Answer:
not a function
Step-by-step explanation:
using vertical line test
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.