Answer: send group
Step-by-step explanation:
A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on
Answer:
The diameter is in the 77th percentile.
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 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.
25.14 mm and standard deviation 0.08 mm.
This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]
A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?
This is the pvalue of Z when X = 25.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]
[tex]Z = 0.75[/tex]
[tex]Z = 0.75[/tex] has a pvalue of 0.77.
The diameter is in the 77th percentile.
3^x=2 solve for x without using calculating utility?
2
A person that is 6 feet tall casts a shadow that is 2.5 feet long. At the same time, a 120 foot tall building casts a shadow. What is the length of the shadow?
feet
Answer:
The building's shadow is 50 ft
Step-by-step explanation:
[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]
Can anyone help me with my homework
An insurance office buys paper by the ream, 500 sheets, for use in the copier, fax, and printer. Each ream lasts an average of 4 days, with standard deviation 1 day. The distribution is normal, independent of previous reams. a. Find the probability that the next ream out- lasts the present one by more than 2 days. b. How many reams must be purchased if they are to last at least 60 days with probability at least 80%
Answer:
a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b) the number of reams that must be purchased is 19
Step-by-step explanation:
Given the data in the question;
Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts
given that both random variables follow normal distribution with mean 4 and standard deviation 1.
a)
Find the probability that the next ream out- lasts the present one by more than 2 days.
P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]
= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )
= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )
= 1 - P = ( Z ≤ 2 / √2 )
= 1 - p( Z ≤ 1.4142 )
from excel; p( Z ≤ 1.41 ) = 0.9213
P( X₂ - X₁ > 2 ) = 1 - 0.9213
P( X₂ - X₁ > 2 ) = 0.0787
Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b)
How many reams must be purchased if they are to last at least 60 days with probability at least 80%
total value is 4n
standard deviation is nσ
so
P(nX ≥ 60 ) = 0.80
P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80
P( Z ≥ 60-4n/n) = 0.80
1 - P( Z ≥ 60-4n/n) = 0.80
P( Z < z ) = 0.20
now since z = 60-4n/n
from standard normal table
critical value of z corresponding to cumulative area of 0.20 is -0.841
so
z = - 0.841
60-4n/n = -0.841
60 - 4n = -0.841n
60 = -0.841n + 4n
60 = 3.159n
n = 60 / 3.159
n = 18.99 ≈ 19
Therefore, the number of reams that must be purchased is 19
A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.
Answer:
Step-by-step explanation:
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
Help this is due today
The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)
Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
The work of a student to solve a set of equations first make an error in step 2 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Solving equation by elimination method
Step 1:
[Equation A is multiplied by −4.]
−4(y) = −4(4 − 2z)
Equation B: 4y = 2 − 4z
Step2:
[Equation A in Step 1 is simplified.]
-4y = -16 + 8z
Equation B: 4y = 2 − 4z
Step 3:
Both equation A and B is added
-4y = -16 + 8z
4y = 2 − 4z
=> 0 = -14 + 4z
Step 4:
4z = 14
z = 3.5
Hence, the work of a student to solve a set of equations first make an error in step 2 .
To know more about elimination method here:
https://brainly.com/question/14619835
#SPJ2
3/5+1/4
Give your answer as a fraction in its simplest form
Answer:
5.25/5 i think
Step-by-step explanation:
3/5 = 8/10 and 1/4 = 2.5/10
So if I do 8/10 + 2.5 / 10.
My reply is 10.5/10
And if I reduce as max, my reply is: 5.25 / 5
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128
Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin
Answer:
3/8
Step-by-step explanation:
this is because there are 8 students in all and only three of them are boys
(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115
Step-by-step explanation:
I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.
I need help with the questions I circle only.
Answer:
3:12
4:36
Step-by-step explanation:
( pls dont report me let me kno if it wrong and i will fix it
price of a visit to the dentist is $50 if the dentist fills any cavities and additional charge of $100 for cavity gets added to the bill if it doesn't find any cavities what was the cause of the visit me
Answer:
The visit will cost you $50
Step-by-step explanation:
Set up an equation:
Variable x = number of cavities
Variable y = cost of visit
y = 50 + 100x
If you had no cavities then x will equal 0
y = 50 + 100(0)
Anything multiplied by 0 is 0
y = 50 + 0
y = 50
How many ways can 3 crayons be selected from a
box of 24 crayons to color a picture?
Answer:
12144 ways
Step-by-step explanation:
24×23÷22= 12144
A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)
Find all of the subsets of C. C = {a,b, e, f}
Answer:
b and e I think not sure :) :) :)
At burns high school 3/5 of the students are females of the female students 1/3 of them play volleyball what fraction of the students in burn high school are girls that play volleyball
3/5 of 1/3 means 3/5 x 1/3
[tex]\frac{3}{5} \times \frac{1}{3} = \frac{3}{15}[/tex]
3/15 simplifies to 1/5
So 1/5 of the students in the high school are girls who play volleyball
circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar
Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”
Step-by-step explanation:
If 50% of a number is 70 and 80% of the same number is 112, find 30% of that number.
pls i need fast *NO LINKS*
Answer:
42
Step-by-step explanation:
It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get
x=140.
we check if that number is true by finding 80% of 140.
4/5 * 140 = 112. So that means 140 is the number we want
30% of 140 is 3/10 * 140, which is 420/10, which is 42
Rewrite the number in Standard form
6 x 10^8
Answer:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.
Answer:
600000000
Step-by-step explanation:
10^8=100000000
6×100000000=600000000
hope this helps
Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4
Answer: The answer is 7mn+3m/2+5n/4
7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
A polynomial is an expression with variables and coefficients separated by addition and subtraction.
The following are used when determining if an expression is a polynomial:
i) Variables of a polynomial must not have negative exponent.
ii) Variables of a polynomial must not have fractional exponent.
iii) Dividing by an exponent is not allowed
iv) Exponent radicals are not allowed.
7mn + 3m/2 + 5n/4 is a polynomial because it has variables and seperated by operators addition and subtraction.
Hence, 7mn + 3m/2 + 5n/4 is the algebraic expression which is a polynomial
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ5
Which of the following is a TRUE statement about check cashing stores?
here is a tree diagram showing the sample independent events how many outcomes are there for the second event
8
1
2
4
Please help me with this
The slope of the line shown below is 1/2
Someone Please Help Me
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2
Explanation:
Remember Rise/Run
1/2
So if they went "Run" 4 units
then the equivalent to 1/2 is 2/4
Therefore the value of a is 2!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Will give Brainliest .
a.188.5 cubic units
b. 204.2 cubic units
c. 1,021.0 cubic units
d. 942.5 cubic units
Answer:
d. 942.5 cubic units
Step-by-step explanation:
Volume of the oblique cylinder = πr²h
h = 12
r = 5
Plug in the values
Volume = π × 5² × 12
Volume = 942.477796
Volume = 942.5 cubic units (nearest tenth)
5x−y=10 3x+y=14 please solve the system of equations and show your work
Answer:
x = 3, y = 5
or (3,5) in coordination point form.
Step-by-step explanation:
We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.
[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]
Convert both equations to slope-intercept form.
[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]
Then combine both equations
[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]
Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10
[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]
Hope this helps!