EASY QUESTION PLEASE HELP
Answer:
c. 9x, 2, 8y
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
PLZ HELP IM IN DESPERATE NEED OF AN ANSWER!!!
If 4 is multiplied by the difference of a number and 3, the result is 32. Which equation could be used to find the value of the number?
Hope u help me pls I love u
Answer:c= a +b
Step-by-step explanation:
NEED HELP ON THIS ASAP
Answer:
34
Step-by-step explanation:
find the velocity in m/s of a swimmer who swims 110 m toward the shore in 72 s
Answer:
1.527 m/s
I assume that the swimmer swims at a constant speed. Then the speed is defined as the ratio between the space and time: v=st=110m72s=1.527 m/s.
the number y divided by 100 y. ?
Answer:
1/100
Step-by-step explanation:
how do I solve this
Answer:
1. Given
2. Distributive Property
3. Combine like terms
4. APoE
5. SPoE
6. DPoE
I think that's the answer but I may be wrong since proofs are annoyingly difficult...
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.
34(x+6)=(3x-2)
find x
Answer:
The answer to x is x= −206 /31
Step-by-step explanation:
Simplify both sides of the equation.
34(x+6)=3x−2
(34)(x)+(34)(6)=3x+−2(Distribute)
34x+204=3x+−2
34x+204=3x−2
Subtract 3x from both sides.
34x+204−3x=3x−2−3x
31x+204=−2
Subtract 204 from both sides.
31x+204−204=−2−204
31x=−206
Divide both sides by 31.
31x /31 = −206/ 31
x= −206 /31
Answer: x= −206 /31
PLEASE HELP I AM TIMED FOR 8 MORE MINUTES! I’ve been working on this for 1 hour!!
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
y=4x+1
replace x with 5
y=4x5+1
y=20+1
y=21
HELPPP ME PLEASEEEEE
Answer:
5x6 - 20 + 8
Answer:
5 X k = 30
10X2 = 20+8 = 28
Step-by-step explanation:
At a diner, Hailey's lunch cost $6.75. Her sister's lunch cost $5.95. After lunch, they each had frozen yogurt that cost the same amount. Together the girls spent a total of $17.40. How much did each frozen yogurt cost?
Answer:
$2.35
Step-by-step explanation:
17.40-6.75-5.95=$4.70
4.70 divided by 2 = 2.35 each
Omar’s tank is 3/10 full. After he buys 11 gallons of gas, it is 4/5 full. How many gallons can Omar’s tank hold?
Answer:
22 gallons.
Step-by-step explanation:
11 gallons took you from 3/10 to 4/5 (same as 8/10).
so the 11 gallons was 5/10- or 1/2 the tank.
if 11 gallons =half a tank, then a full tank is 22 gallons
Each of 200 subjects were shown a proposed commercial and asked to identify the marketed product 5 minutes after the viewing. A 95% confidence interval was calculated, but the client indicated that the resultant margin of error is too large and must be one-fourth its current size. How large does the new sample need to be?
Answer:
Step-by-step explanation:
first off we need to know the original sample size and if it is in there then im just cant see it
a corporation must appoint a president
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
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
I have some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! Good luck!
Answer:
Question 7Arc LM has length of:
LM = 2πr*72/360LM = 2π*1*1/5LM = 2π/5Question 8Area of the given sector:
πr²*θ/360 = x²π*(360 - 75)/360 =x²π(19/24) = 19πx²/24Pls, help solve this asap..
Answer:
the answer is 8
Step-by-step explanation:
3(8^2) + 1
8^2 = 64
64 x 3 = 192
192 +1 =193
4. Fely wants to make Mexican bread for International
Day at school. The recipe makes 8 servings. She
wants to make 15 times the recipe. The recipe calls
for 60 milliliters of oil. How many milliliters of oil
will Fely need in all?
Answer:
900
Step-by-step explanation:
if you do 15*60 that will equal 900
What is the volume of the prism?
2 cm
3cm
11 cm PLS HURRY
Answer:
66
Step-by-step explanation:
multiply everything together
-3 multiplied by 8.2
Answer:
-24.6
Step-by-step explanation:
-3*8.2= -24.6
please answer thsi im begging you i will make you the brainlesttt just the last two
H(x)=5(x-6) find h(6)
Answer:
5(6-6)
5(0)
0
Step-by-step explanation:
PEMDAS
In ΔFGH, the measure of ∠H=90°, the measure of ∠G=85°, and GH = 4.5 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
hope this helps !
your answer should be FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
Then determine whether the relation is discrete or continuous?
Answer:
Can you please include the complete question?
Step-by-step explanation:
Which expression can be used to find the surface area of the following square pyramid?
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Q. You are employed at a grain processing
plant that sells cornmeal for $1.28 per pound.
If a sack of cornmeal weighs 4 pounds 12
ounces, how much does it cost?
A. $6.08
B. $4.95
C. $5.12
D. $6.40
Answer:
A (6.08)
Step-by-step explanation:
Hi! Here is how you would handle this problem :D
First, multiply 1.28 (money per pound) by 4 (whole pounds), you would get 5.12. Now be careful, because there is one more step! There are 16 ounces in a pound, so 12/16 would equal to 3/4 (75%). Multiply 1.28 by .75 to find out how much you would pay for those 12 ounces. Lastly, add 5.12 and .96 (that comes from 1.28 times .75), and you get 6.08! Hope this helped, and please leave me a brainly if you can!
Which values are solutions to × > 7? A. × = 11 and × = 1 B. × = 0 and × = 8 C. × = 8 and × = 11 D. × = -8 and × = 0
Answer:
C
Step-by-step explanation: