Answer:
y=3x^2 -15x-42
Step-by-step explanation:
A manufacturer orders lots of steel rods from a supplier (each lot consists of thousands of rods). Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter. The quality manager accepts a lot if the mean length of the randomly selected sample of 64 rods from that lot is at least 4.005 meters, otherwise the lot is returned to the supplier. a) What percentage of the lots received by the manufacturer will be returned to the supplier
Answer:
84.13% of the lots received by the manufacturer will be returned to the supplier
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 zscore 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 pvalue, 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.
Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.
This means that [tex]\mu = 4, \sigma = 0.04[/tex]
Sample of 64:
This means that [tex]n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]
a) What percentage of the lots received by the manufacturer will be returned to the supplier
The proportion is the pvalue of Z when X = 4.005. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{4.005 - 4}{0.005}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
0.8413*100% = 84.13%
84.13% of the lots received by the manufacturer will be returned to the supplier
james jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?
Answer:
Step-by-step explanation:
0.68hr(28.9mi/hr)=19.652mi
19.214÷13
pls someone help me
Answer:
1.478
Step-by-step explanation:
Please help, will give brainliest! Which is NOT equivalent to this expression? 4(3x^2+6x)
please help guys asap
Answer:
28 i think
Step-by-step explanation:
Find the measure of CD in parallelogram ABCD .
Answer:
Picture would be appreciated.
AY
1500-
1400
1300
Optional: How much compound
interest is earned at 35 years?
(looks to be in the middle)
compound interest
Total amount (dollars)
1200
1100
1000
900
800
700
600
500
400
300
200
100
Optional: How much simple
interest is earned at 35 years?
(looks close to the whole number)
simple interest
(a) How much more compound
interest than simple interest is
earned after 35 years?
0
5 10 15 20 25 30 35 40 45 50
Number of years
Answer:
How much compound interest is earned at 35 years? 850
How much simple interest is earned at 35 years? 600
How much more compound interest than simple interest is earned after 35 years? 250
Step-by-step explanation:
The owner of a restaurant is concerned about customers who ask for a water cup when placing an order but fill the cup with a drink from the beverage fountain instead of filling the cup with water. The owner randomly selected 90 people who order a water cup and found that 21 of those customers filled the cup with a soft drink.a. Construct and interpret a 95 percent confidence interval for the proportion of all customers who, having asked for a water cup when placing an order, will fill the cup with a soft drink from the beverage fountain. b. The owner estimates that each customer who asks for a water cup but fills it with a soft drink costs the restaurant $0.35. Suppose that in the month of June 2,500 customers ask for a water cup when placing an order. Use the confidence interval constructed in part (a) to give an interval estimate for the cost to the restaurant for the month of June from the customers who ask for a water cup but fill the cup with a soft drink.
Answer:
This is very confusing.
Can you try and make this a shorter question for me to answer?
Step-by-step explanation:
Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.
What is the mean absolute deviation of the number of times?
Round to the nearest tenth, if needed.
a. 0
b. 2
c. 2.3
d. 2.5
well, to do this we first need to find the mean of all values.
we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
Then find the mean of those distances.
so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.
Answer: the answer is c
Step-by-step explanation: i took the test
ramu and ravi borrowed rs 8000
Answer: Rs. 11,520
Step-by-step explanation:
As the method of compounding is not stated, the default of simple interest will be used.
Simple interest is a fixed amount that is paid over the course of the loan and is based on the original amount borrowed.
Formula is:
Amount owed = Amount borrowed * ( 1 + rate * time)
= 8,000 * ( 1 + 8% * 5.5 years)
= 8,000 * 1.44
= rs 11,520
Blake is going to invest $79,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Blake to end up with $96,000?
Answer:
r =2.2%
Step-by-step explanation:
Scan QR code and it takes to homework so u can answer question i will give brainliest to correct answer please answer correct
im just gonna take the points for falling for that.
a triangle has angles that measure 50 degrees and 50 degrees what is the measure lf the third angle?
Answer:
80
Step-by-step explanation:
the combined angles of any triangle equal 180 degrees. take the known angles ( 50 and 50) and subtract their sum from 180. 180-100=80
the number y divided by 100 y. ?
Answer:
1/100
Step-by-step explanation:
-3/4 ( 8y - 12 ) + 1/5 ( 15y - 30 )
If you are given the diameter, how can you calculate the radius
Answer:
divide the diameter by 2
Consider the expression 40+24 . Find the greatest common factor of the two numbers and use the distributive property to rewrite the expression
Hi there!
[tex]\large\boxed{8(5+3)}}[/tex]
The greatest common factor of 40 and 24 is 8.
8 goes into 40 5 times:
8 goes into 24 3 times.
We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:
8(5 + 3)
Using this, we get:
8(5) + 8(3) = 40 + 24.
An engine operating on Dual cycle has a compression ratio of 12. The pressure and temperature at the start of adiabatic compression is 100 KPa. and 37 degree Centigrade. The peak pressure of the cycle is not no exceed 8000 KPa. and the heat supplied to the cycle is 2000 KJ per Kg. of air. Determine the cycle thermal efficiency
Find the measure of the arc.
D
А
146°E
B
mĒDF = [?]°
Enter
Answer: 214
hope this helped.
The measure of the arc is 214 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The measure of the arc FE is 146 degrees.
Measure ED is 90 degrees.
To find the measure of the arc EDF we have to find the measure of DF.
146+90+x=360
236+x=360
Subtract 236 from both sides
x=360-236
x=124
Now let us find the arc measure EDF =Measure of ED + Measure of DF
=90+124
=214 degrees
Hence, the measure of the arc is 214 degrees
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
Find the value of −12 + 8 −(−9). Question 20 options: −13 −5 13 5
Answer:
D) 5
Step-by-step explanation:
-12 + 8 + 9 = 5
Help for brainiest
please explain how you got it :D it would help so I can understand how to do the rest
Answer:
Option D
Step-by-step explanation:
Formula to use: V=[tex]\frac{1}{2}(b*a)*h\\[/tex]
b=base of triangle a=altitude of triangle h=height of prism
Doing [tex]\frac{1}{2}(b*a)[/tex] is essentially finding the area of the triangle and after multiplying by h will give you the volume of the triangular prism.
Solve: V = [tex]\frac{1}{2}(3*3)*7[/tex] or option D
Ps. Altitude is perpendicular or 90 degrees to the side I used for the base, so it wouldn't be option C.
Emma is choosing a weekly meeting time. She hopes to have two different
managers attend on a regular basis. The table shows the probabilities that
the managers can attend on the days she is proposing.
Assuming that manager A's availability is independent of manager B's
availability, which day should Emma choose to maximize the probability that
both managers will be available?
A. Monday. The probability that both managers will be available is
0.94.
B. Monday. The probability that both managers will be available is
0.67.
C. Wednesday. The probability that both managers will be available is
0.91.
D. Wednesday. The probability that both managers will be available is
0.71.
Answer:
Probability that both managers can attend:
Monday- 0.73x0.94 = 0.69
Tuesday- 0.78 x 0.91 = 0.71
So, d is correct.
Let me know if this helps!
The day Wednesday choose to maximize the probability that both managers will be available. The probability that both managers will be available is 0.71.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability can be defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Probability that both managers can attend, consider that manager A's availability is independent of manager B's availability,
Monday;
0.73x0.94 = 0.69
Tuesday;
0.78 x 0.91 = 0.71
So, the option d is correct.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ7
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
I need the answer for this one please
Answer:
Step-by-step explanation:
65
What is the volume of the prism?
2 cm
3cm
11 cm PLS HURRY
Answer:
66
Step-by-step explanation:
multiply everything together
PRETTY MUCH A FREE BRAINLIEST IF UR RIGHT, GOOD LUCK :D. Value of x is greater than or equal to 14
Options:
x>14
x<14
x≥14
x≤14
Answer:
3rd choice down. . . . . . .
x≥14 plz give me brainlyest
HELPP!! I report wrong answers!!
. Use 3.14
plss help
Answer:
A≈494.13
R = 12.54
D = 25.08
Step-by-step explanation:
Here is all the answers.
PLZZZZ give me brainliest!!!
For the most recent year available, the mean annual cost to attend a private university in the United States was $50,900. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,500. Ninety-five percent of all students at private universities pay less than what amount
Answer:
95% of all students at private universities pay less than $58,302.5.
Step-by-step explanation:
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.
Mean of $50,900, standard deviation of $4,500
This means that [tex]\mu = 50900, \sigma = 4500[/tex]
Ninety-five percent of all students at private universities pay less than what amount?
Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50900}{4500}[/tex]
[tex]X - 50900 = 1.645*4500[/tex]
[tex]X = 58302.5[/tex]
95% of all students at private universities pay less than $58,302.5.
Please help:( I’m stuck on this problem
Answer:
x=33
Step-by-step explanation:
If you didn't know all of the angles in a triangle add up to equal 180
We are given to angles, 90 (the square indicates that its a right angle which is equal to 90) and 57
So to find the missing anlge we subtract the given angles from 180
180-90=90
90-57=33
therefore x=33