Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 11 ounces. a. The process standard deviation is .20 ounces, and the process control is set at plus or minus standard deviations. Units with weights less than or greater than ounces will be classified as defects. What is the probability of a defect (to 4 decimals)
The question supplied is incomplete :
The x parameters aren't given ; "Units with weights less than or greater than ounces will be classified as defects"
Assume the unit weights Given are ;
Units with weights less than 10.8 or greater than 11.2 ounces will be classified as defects
Just follow the procedure in the solution for any value of unit weight interval given.
Answer:
0.3173
Step-by-step explanation:
Mean weight, m = 11 ounces
Standard deviation, s = 0.2 ounces
Find the Zscore for each unit weight :
Z = (x - mean) / standard deviation
P(x < 10.8) :
Z = (10.8 - 11) / 0.2 = - 1
P(Z < - 1) = 0.15866
P(x > 11.2) :
Z = (11.2 - 11) / 0.2 = 1
P(Z > 1) = 0.84134
P(x < 11.2) - P(x < 10.8) = 1 - (P(Z < 1) - P(Z < - 1)) = 1 - 1 - (0.84134 - 0.15866) = 1 - 0.68268 = 0.31732
Hence, Probability of a defect is 0.3173
How do you solve this using substitution method
17x+7y=20
Y=20x-42
Answer:
17 x + 7 y = 20
y =20x - 42
17 x + 7(20x - 42) = 20
17x + 140x - 294 = 20
157 x = 20 + 294
157x ÷ 157 = 314 ÷ 157
x = 2
y = 20x - 42
y = 20 (2) - 42
y = 40 - 42
y = -2
there for x = 2 and y = -2 is the solution
Find the measure of an angle that is positive and less than 360° in standard position for each reference angle. 68° in quadrant II: 75° in quadrant IV: 22° in quadrant III:
Answer:
Step-by-step explanation:
Reference angle for 68° in QII = 180°-68° = 112°
Reference angle for 75° in QIV = 360°-75° = 285°
Need help on this one
Answer:
60%
Step-by-step explanation:
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.
6 times as much as x?
Do you need to create an algebraic expression? In that case, the answer would be 6x.
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!
Problem 8
Tameeka's sunflower is currently 58 millimeters. She
notices that the sunflower grows 8 millimeters each day.
Write an expression to represent this situation.
Answer:
Step-by-step explanation:
if tameekas sunflower is 58 millmetters and grows 8 millmeters a day then in the 7 days she grew it, it has grown 58 millmeters.
What is the volume of the prism?
2 cm
3cm
11 cm PLS HURRY
Answer:
66
Step-by-step explanation:
multiply everything together
Identify the variable and the constant in the expression below. n + 3 variable: ___________________________ constant: ___________________________
A TV executive is interested in the popularity of a particular cable TV show. She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show. If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show
Answer:
0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show
Step-by-step explanation:
For each household, there are only two possible outcomes. Either they will tune in to the show, or they wont. The probability of a household being tuned in to the show is independent of any other household. This means that the binomial probability distribution is used to solve this question.
Binomial probability 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.
She has been told that a whopping 68% of American households would be interested in tuning in to a new network version of the show.
This means that [tex]p = 0.68[/tex]
If this is correct, what is the probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show
All 6 is [tex]P(X = 6)[/tex] when [tex]n = 6[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{6,6}.(0.68)^{6}.(0.32)^{0} = 0.0989[/tex]
0.0989 = 9.89% probability that all 6 of the households in her city being monitored by the TV industry would tune in to the new show
Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.00 was paid by Musa, how much did the business cost. List the partners in ascending order of their investment
Answer:
(a) [tex]Total = 45000[/tex]
(b) Yaw, Musa and Kofi
Step-by-step explanation:
Given
[tex]Kofi =5/9[/tex]
[tex]Yaw = 2/15[/tex]
[tex]Musa = 14000[/tex]
Solving (a): The cost of the business
First, we solve for the fraction of Musa
[tex]Musa + Kofi + Yaw = 1[/tex]
[tex]Musa = 1 - (Kofi + Yaw )[/tex]
[tex]Musa = 1 - (5/9 + 2/15)[/tex]
[tex]Musa = 1 - (\frac{25+6}{45})[/tex]
[tex]Musa = 1 - \frac{31}{45}[/tex]
[tex]Musa = \frac{45 - 31}{45}[/tex]
[tex]Musa = \frac{14}{45}[/tex]
So, we have:
[tex]\frac{14}{45} * Total = 14000[/tex]
Make Total the subject
[tex]Total = 14000 * \frac{45}{14}[/tex]
[tex]Total = 1000 * 45[/tex]
[tex]Total = 45000[/tex]
Solving (b): Partners in ascending order
First, represent the fractions as decimals
[tex]Kofi =5/9[/tex] [tex]= 0.5556[/tex]
[tex]Yaw = 2/15[/tex] [tex]= 0.1333[/tex]
[tex]Musa = \frac{14}{45}[/tex] [tex]= 0.3111[/tex]
From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).
So, the order is: Yaw, Musa and Kofi
Which
property is illustrated by the statement (3 x 6) * 4 = 3 x (6 x 4)?
O a. Identity
Oc. Associative
Ob. Distributive
O d. Commutative
[tex]\huge\mathfrak\red{answer}[/tex]
Trust me, its C. Associative (Associative property of multiplication)
[mark me brainliest please :( i need 3 more]
The property illustrated by the statement (3 x 6) * 4 = 3 x (6 x 4) is the Associative Property. So, the correct option is C. Associative.
The Associative Property states that the grouping of numbers being multiplied does not affect the result. In this case, it means that when multiplying three numbers, the order in which we group them does not change the final product. We can either multiply (3 x 6) first and then multiply by 4, or multiply 3 by (6 x 4) first and achieve the same result.
Therefore, the correct option is C. Associative.
To know more about property:
https://brainly.com/question/29528698
#SPJ2
Will mark brainliest!
What is the value of u?
Answer:
u=32
Step-by-step explanation:
Hey There!
Those are a pair of complementary angles we can tell because it has a square at the angle.
When angles are complementary they add up to 90
So given one angle we subtract that by 90 to find the missing angle
90-58=32
therefore u = 32
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.
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.
Find the measure of CD in parallelogram ABCD .
Answer:
Picture would be appreciated.
The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (a) the volume of the cube maximum possible error (in cm3) cm3 relative error (rounded to four decimal places) percentage error (rounded to two decimal places) % (b) the surface area of the cube maximum possible error (in cm2) cm2 relative error (rounded to four decimal places) percentage error (rounded to two decimal places) %
Answer:
[tex](a)[/tex]
[tex]Maximum\ Error = 27[/tex]
[tex]Relative\ Error = 0.008[/tex]
[tex]Percentage\ Error = 0.8\%[/tex]
[tex](b)[/tex]
[tex]Maximum\ Error = 36[/tex]
[tex]Relative\ Error = 0.0267[/tex]
[tex]Percentage\ Error = 2.67\%[/tex]
Step-by-step explanation:
Given
[tex]x = 15[/tex] -- edge length
[tex]\triangle x = 0.2[/tex] -- possible error
Solving (a): Errors in volume
The volume of a cube is:
[tex]V(x) = x^3[/tex]
Differentiate
[tex]\frac{dV}{dx} = 3x^2[/tex]
Make dV the subject
[tex]dV =3x^2dx[/tex]
Rewrite as:
[tex]\triangle V = 3x^2 \triangle x[/tex]
Substitute values for x and [tex]\triangle x[/tex]
[tex]\triangle V = 3 * 15^2 * 0.2^2[/tex]
[tex]\triangle V = 27[/tex]
Hence:
[tex]Maximum\ Error = 27[/tex]
The relative error is then calculated as:
[tex]Relative\ Error = \frac{Maximum\ Error}{Volume}[/tex]
[tex]Relative\ Error = \frac{27}{x^3}[/tex]
[tex]Relative\ Error = \frac{27}{15^3}[/tex]
[tex]Relative\ Error = \frac{27}{3375}[/tex]
[tex]Relative\ Error = 0.008[/tex]
The percentage error is:
[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]
[tex]Percentage\ Error = 0.008 * 100\%[/tex]
[tex]Percentage\ Error = 0.8\%[/tex]
Solving (a): Errors in Surface Area
The volume of a cube is:
[tex]A(x) =6x^2[/tex]
Differentiate
[tex]\frac{dA}{dx} =12x[/tex]
Make dA the subject
[tex]dA = 12xdx[/tex]
Rewrite as:
[tex]\triangle A =12x\triangle x[/tex]
Substitute values for x and [tex]\triangle x[/tex]
[tex]\triangle A =12 *15 * 0.2[/tex]
[tex]\triangle A =36[/tex]
Hence:
[tex]Maximum\ Error = 36[/tex]
The relative error is then calculated as:
[tex]Relative\ Error = \frac{Maximum\ Error}{Surface\ Area}[/tex]
[tex]Relative\ Error = \frac{36}{6x^2}[/tex]
[tex]Relative\ Error = \frac{36}{6*15^2}[/tex]
[tex]Relative\ Error = \frac{36}{1350}[/tex]
[tex]Relative\ Error = 0.0267[/tex]
The percentage error is:
[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]
[tex]Percentage\ Error = 0.0267* 100\%[/tex]
[tex]Percentage\ Error = 2.67\%[/tex]
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...
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
Simplify the expression
(3x?y22.
6xy?
5xyz
A)
5xSy?z
B)
5x5y²2
C)
15 5.
2
D)
15.xyz
Answer:
its B bro come on
Step-by-step explanation:
ok good
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:
Selma went shopping and bought identical sweaters for each of 3 friends. If she spent $42, what was the cost of each sweater? Include your equation with your answer.
Answer:
14 dollars
Step-by-step explanation:
42 / 3 = x amount of dollars
14 = x
so every one sweater costs 14 dollars
Five students were given a page of problems with instructions to solve as many as they could in one hour. The five students solved the following number of problems: 12, 10, 8, 6, and 4. What is the arithmetic mean number of minutes required per problem
Answer:
We will first find out average time of each student.
Student 1 = 60 / 12 = 5
Student 2 = 60 / 10 = 6
Student 3 = 60 / 8 = 7.5
Student 4 = 60 / 6 = 10
Student 5 = 60 / 4 = 15
Now we will take the arithmatic mean of all students average time.
A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem
Which inequality is shown in this graph?
(0, 3)
5
(2, -3)
Answer:
It would be A
I think I forgot I didn't this like 2 weeks ago
X2 -5
———
X-5
Is x-5 equal to the rational expression
Step-by-step explanation:
no it doesn't equal
!
☺☺☺☺☺..........
True or False? The chart below shows a linear relationship function.
X -1 0 4
Y 1 3 11
T. True, this is linear F. False, this is not linear
Answer:
False
Step-by-step explanation:
7. An emergency cooling system consists of a cooling water tank that has cooling water in it about 92% of the time, an emergency cooling water pump that can be counted on to start when needed about 94% of the time, and an emergency cooling water valve that opens when tripped about 96% of the time. Someone will actually push the emergency button in an emergency about 90% of the time, and it will work when pushed about 98% of the time. What is the probability the emergency cooling system will work when needed
Answer:
the probability the emergency cooling system will work when needed is 80.5%
Step-by-step explanation:
Given the data in the question;
the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time
E[tex]_4[/tex] ⇒ Someone will actually push the emergency button in an emergency
P(E[tex]_4[/tex]) = 90% = 0.90
E[tex]_4[/tex] : Someone will actually push the emergency button in an emergency
P(E[tex]_4[/tex]) = 99% = 0.99
P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)
we substitute
P(E) = 92% × 94% × 96% 99% × 98%
P(E) = 0.8054
P(E) = 80.5%
Therefore, the probability the emergency cooling system will work when needed is 80.5%
-4x[(2x + 4) / 6) - 6y = 3y/4 + [9x(2yx - 4)
Answer:
89-29x
Step-by-step explanation:
For a sparkling apple juice recipe with two ingredients, Timmy uses 3 1/4 cups of apple juice and 4 2/3 cups of lemon-lime soda. How much juice is he making?
Answer:
anlamiyorum ne diyorsun