Step-by-step explanation:
A manufacturer of computer memory chips produces chips in lots of 1000. If nothing has gone wrong in the manufacturing process, at most 7 chips each lot would be defective, but if something does go wrong, there could be far more defective chips. If something goes wrong with a given lot, they discard the entire lot. It would be prohibitively expensive to test every chip in every lot, so they want to make the decision of whether or not to discard a given lot on the basis of the number of defective chips in a simple random sample. They decide they can afford to test 100 chips from each lot. You are hired as their statistician.
There is a tradeoff between the cost of eroneously discarding a good lot, and the cost of warranty claims if a bad lot is sold. The next few problems refer to this scenario.
Problem 8. (Continues previous problem.) A type I error occurs if (Q12)
Problem 9. (Continues previous problem.) A type II error occurs if (Q13)
Problem 10. (Continues previous problem.) Under the null hypothesis, the number of defective chips in a simple random sample of size 100 has a (Q14) distribution, with parameters (Q15)
Problem 11. (Continues previous problem.) To have a chance of at most 2% of discarding a lot given that the lot is good, the test should reject if the number of defectives in the sample of size 100 is greater than or equal to (Q16)
Problem 12. (Continues previous problem.) In that case, the chance of rejecting the lot if it really has 50 defective chips is (Q17)
Problem 13. (Continues previous problem.) In the long run, the fraction of lots with 7 defectives that will get discarded erroneously by this test is (Q18)
Problem 14. (Continues previous problem.) The smallest number of defectives in the lot for which this test has at least a 98% chance of correctly detecting that the lot was bad is (Q19)
(Continues previous problem.) Suppose that whether or not a lot is good is random, that the long-run fraction of lots that are good is 95%, and that whether each lot is good is independent of whether any other lot or lots are good. Assume that the sample drawn from a lot is independent of whether the lot is good or bad. To simplify the problem even more, assume that good lots contain exactly 7 defective chips, and that bad lots contain exactly 50 defective chips.
Problem 15. (Continues previous problem.) The number of lots the manufacturer has to produce to get one good lot that is not rejected by the test has a (Q20) distribution, with parameters (Q21)
Problem 16. (Continues previous problem.) The expected number of lots the manufacturer must make to get one good lot that is not rejected by the test is (Q22)
Problem 17. (Continues previous problem.) With this test and this mix of good and bad lots, among the lots that pass the test, the long-run fraction of lots that are actually bad is (Q23)
Solve the following equation for the given variable.
-6x - 6 - 2x = 40
Round your answers to the nearest tenths place.
Step-by-step explanation:
- 6x - 6 - 2x = 40. collect the like terms
- 6x - 2x - 6 = 40
- 8x - 6 = 40 take 6 to the right
- 8x = 40 + 6
- 8x/ -8 = 46/ - 8
x = - 5.75
I hope this answers your question
If the area of a circle is 16π, the circumference of the circle is:
A. 8π
B. 16π
C. 2π
D. 4π
Find f(-2) given f(x) = –x^3 – 3x^2 +8
Answer:
Option A, 4
Step-by-step explanation:
f(-2) = -(-2)³-3×(-2)²+8
= 8-12+8
= 16-12
= 4
I’m sorry, I suck at math, can someone please help me with this?
Answer:
w¹×w¹×w¹=w¹+¹+¹= w³
formula is a^m×a^n=a^m+n
Can someone please help me with 1-10 please and thank you
Answer:
yes me me me me me ,,,,,,,,,,,,,,,,,,,, ....
Write the standard form of the equation of the circle with center (8,−1) that passes through the point (6,7)
Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.
what is the sum of √-2and√-18
For this question, we need to simplify some radicals and combine like terms. One thing for sure that should be noticed is the fact that both of these radicals are going to be imaginary, as they both have negatives inside of them.
Let's simplify the radicals:
√-2 = ← Note the negative
i√2
√-18 = ← Note the negative here as well
i√18 =
i√2·3·3 =
i√2·3² =
3i√2
Now, all we have to do is combine like terms:
i√2 + 3i√2 = 4i√2
find the equation of the line which is parallel to the line 5 x + 4y = 18 and makes an intercept of 2 units on the x-axis
Answer:
[tex]{ \underline{ \sf{equation \: is : \: y = - \frac{5}{4} x + 2 }}}[/tex]
Step-by-step explanation:
[tex]y = mx + c \\ 4y = - 5x + 18 \\ y = - \frac{5}{4} x + \frac{9}{2} [/tex]
since it is parallel, the gradients are the same; m = -5/4
[tex]y = - \frac{5}{4} x + 2[/tex]
Answer:
y=-5x+2
Step-by-step explanation:
x intercept=2
points will be (2,0)
slope of given line:
4y=-5x+18
y=mx+c
comparing equation:
m=-5
lines are parallel so given slope is equal to required slope.
using point slope form:
y-0=-5(x-2)
y=-5x+2
Sketch a linear graph given the following key features
Answer:
Step-by-step explanation:
With a two dimensional surface, if we take (2, 1) as the center point and consider
a transformation with a rotation angle of 45◦, then point (3, 3) is transformed
into point (----)?
Answer:
Step-by-step explanation:
Distance between (2,1) and (3,3) = √5
parametric equations for circle of radius √5, centered at (2,1):
x = √5cosθ+2
y = √5sinθ+1
At (3,3), θ = arccos(1/√5) ≅ 63.4°
After 45° transformation:
θ' = 63.4° + 45° = 108.4°
x' = √5cos(108.4°)+2 = 1.29
y' = √sin(108.4°)+1 = 3.12
(3,3) transformed to (1.29,3.12)
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
What does si mean in temperature
Answer:
The kelvin (abbreviation K), also called the degree Kelvin (abbreviation, o K), is the SI unit of temperature. One Kelvin is 1/273.16 (3.6609 x 10 -3 ) of the thermodynamic temperature of the triple point of pure water (H 2 O). The ampere (abbreviation, A) is the SI unit of electric current.
Answer:
kelvin is si unit of tempreature
Megan has earned a total of 67.50 in interest on her savings account. It is the third year she has had her 900.00 deposit in her savings account. What is the interset rate on this account? List your answer as a percent to the nearest tenth
9514 1404 393
Answer:
2.5%
Step-by-step explanation:
Simple interest is computed using the formula ...
I = Prt . . . . for principal P invested at rate r for t years
Using the given values, we can solve for r ...
67.50 = 900r·3
r = 67.50/2700 = 0.025 = 2.5%
Megan's account earned 2.5% interest.
Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.
A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet
The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A
The diagram for the question is shown as described in the question in the attachment below.
From the diagram,
Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C
/AG/ = 1200 feet
/AG/ = /BD/ = 1200 feet ( as shown in the diagram)
The distance between the two balloons is equal to /GD/
Also, from the diagram, /GD/ = /GC/ + /CD/
To find /GC/,
Consider ΔAGC
/AG/ = 1200 feet
/GC/ = ?
From the question, "Balloon A has risen at a 56° angle"
∴ x° = 56°
Using the formula
[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]
[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]
[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]
/GC/ = 809.41 feet
To find /CD/
Consider ΔBCD
/BD/ = 1200 feet
/CD/ = ?
From the question, "Balloon B has risen at a 81° angle"
∴ y° = 81°
Using the formula
[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]
[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]
[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]
/CD/ = 190.06 feet
Now, recall that /GD/ = /GC/ + /CD/
∴ /GD/ = 809.41 feet + 190.06 feet
/GD/ = 999.47 feet
/GD/ ≅ 999 feet (to the nearest whole number)
Hence, the distance between the two balloons is 999 feet
Balloon B is 999 feet from balloon A.
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Answer:
999 Units
Step-by-step explanation:
Simplify the expression.
Please add an explanation if you understand how to do this.
Answer:
2x^31
Step-by-step explanation:
~Simplify the expression
2x^29/x^-2
~Apply quotient rule [ a^b/a^c = a^b-c ]
2x^31
Best of Luck~
Answer:
2x³¹Step-by-step explanation:
(x¹⁶ + x⁴x¹²)x⁹x⁴/x⁻² =(x¹⁶ + x¹⁶)x¹³x² = 2x¹⁶x¹⁵ =2x³¹Used identities:
nᵃnᵇ = nᵃ⁺ᵇ1/n⁻ᵃ = nᵃAdam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours.
The exact distance Adam traveled was what?
a) 334.488
b) 3344.88
c) 3.334488
d) 33448.8
Answer:
Step-by-step explanation:
334.488 miles
two cars started to move towards each other at the same time. the speed of the first car was twice the speed of the second car. they met in two hours. if the distance traveled altogether was 300 km find the rates of the cars.
Answer:
Step-by-step explanation:
Let v be the speed of the slower car
2v is the speed of the faster car
In 2 hrs, the slower car travels a distance of
2 hr(v km/hr) = 2v km
In 2 hrs, the faster car travels a distance of
2 hr(2v km/hr) = 4v km
2v + 4v = 300
6v = 300
v = 50 km/hr
2v = 100 km/hr
Which of the fractions below are less than 2/5? Select two.
Answer:
1/8 is less than
Step-by-step explanation:
i dont see any fractions below gona have to edit your answer
Richland's Real GDP per person is #10b and poorland's Real GDP per person is #5b. However, Richland's Real GDP per person is growing at 1% per year and poorland's Real GDP per person is growing at 3% per year. Compare real GDP per person in the two countries after ten years and after twenty years. Approximately how many years will it take poorland to catch up with Richland?
Answer:
after 5 years, rich : poor = 11.0 : 6.7after 10 years, 12.2 : 9.035.3 yearsStep-by-step explanation:
It is convenient to let a graphing calculator show the answers to these questions.
The exponential equation modelling the growth will be of the form ...
f(x) = (initial value) × (1 +growth rate)^x
Richland's GDP/person can be modeled by r(x) = 10·1.01^x
Poorland's GCP/person can be modeled by p(x) = 5·1.03^x
The attached graph shows values for x=5, 10 and r(x)=p(x).
It will take about 35.3 years for Poorland to catch up.
Is 43,093 less than 43,903
Answer: yes
Step-by-step explanation:
43093 is less than 43903
The number 42 has the prime factorization 2.3.7. Thus 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors):
1.42, 2 · 21,3 · 14, and 6. 7.
Required:
List the distinct ways the number 770 can be written as a product of two positive integer factors.
Answer:
Step-by-step explanation:
770 = 2*5*7*11
So they are:
2*385
10*77
5*154
7*110
14*55
11*70
22*35
please help me
no links or files
thank you !
Jane is saving to buy a cell phone. She is given a $100 gift to start and saves $35 a month from her allowance. So after one month, Jane has saved $135. Does it make sense to represent the relationship between the amount saved and the number of months with one constant rate? Why or why not? Explain your answer.
Jane is given a $100 gift to start and saves $35 a month from her allowance.
After 1 month, Jane has saved
After 2 months, Jane has saved
After three months, Jane has saved
and so on
In general, after x months Jane has saved
This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.
Step-by-step explanation:
pls find the volume :))
Answer:
The volume can be found by multiplying these two numbers, which is
65/4 x 1/2
65/8 units^3
Let me know if this helps!
Answer:
8 1/8 units ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
V = 16 1/4 * 1/2
Changing to an improper fraction
V = ( 4*14+1)/4 * 1/2
= (65/4) * 1/2
= 65/8
Changing back to a mixed number
= 8 1/8
Sierra used the following steps to copy angle ABC:
1. Draw a ray with the endpoint D.
2. Place the compass on point B. Swing an arc that intersects rays BA and BC that creates point E on BA and Fon BC.
3. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G on the ray.
4. Open the compass to the distance between points A and E.
5. Keeping the compass at the same width, place it on point G and swing an arc that intersects the arc created from point D.
6. Label the intersection of the arcs created from point D with point H, and draw a ray from point D through point H.
In which step did the error occur? Explain. (1 point)
Step 2. She did not set the proper compass length.
O Step 2. She drew an arc Instead of a circle.
Step 3. She placed the compass at an incorrect point.
Step 4. She measured the incorrect length.
The process of copying an angle through construction involve ensuring
that the distance between the two rays forming the angle is the same or
equal in the original and copy of the angle at a given equal distance from
the vertex of both angles
The step where the error occur is step 4. She measured the incorrect length
The reason for the above selection is as follows:
The steps to copy an angle are as follows;
Draw the initial line, l, (the working line) of the copy of the angle as a ray with an endpoint, DIn the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, rPlace the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point GPlace the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EFPlace the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the constructionA critical step in the copying process involves the finding the distance
between the initial line and the terminal line EF at a given distance DG =
AE from the angle vertex
The step where the error occur is in step 4. by opening the compass
between points A and E which are points on the same line and placing the
compass at point G on line l to draw an arc intersecting the arc created
from point D at H, thereby making the radial distance between the two lines
forming the angle, in the copied angle at a distance E from the vertex,
equal to AE rather than EF
Therefore, the error occurred in step 4. She measured the incorrect length
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What is the value of n to the nearest whole number?
O 10
o 13
18
o
21
Answer:
n is 13
Step-by-step explanation:
[tex] {n}^{2} = {12}^{2} + {6}^{2} - (2 \times 12 \times 6) \cos(90 \degree) \\ {n}^{2} = 180 \\ n = 13.4[/tex]
Answer:
n is 13
Step-by-step explanation:
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. ∫C (3y +5e√x)dx + (10x + 3 cos y2)dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2
By Green's theorem, the line integral
[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]
is equivalent to the double integral
[tex]\displaystyle \iint_D \frac{\partial g}{\partial x} - \frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]
where D is the region bounded by the curve C, provided that this integrand has no singularities anywhere within D or on its boundary.
It's a bit difficult to make out what your integral should say, but I'd hazard a guess of
[tex]\displaystyle \int_C \left(3y+5e^{-x}\right)\,\mathrm dx + \left(10x+3\cos\left(y^2\right)\right)\,\mathrm dy[/tex]
Then the region D is
D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}
so the line integral is equal to
[tex]\displaystyle \int_0^1\int_{x^2}^{\sqrt x} \frac{\partial\left(10x+3\cos\left(y^2\right)\right)}{\partial x} - \frac{\partial\left(3y+5e^{-x}\right)}{\partial y}\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \int_{x^2}^{\sqrt x} (10-3)\,\mathrm dy\,\mathrm dx \\\\ = 7\int_0^1 \int_{x^2}^{\sqrt x} \mathrm dy\,\mathrm dx[/tex]
which in this case is 7 times the area of D.
The remaining integral is trivial:
[tex]\displaystyle 7\int_0^1\int_{x^2}^{\sqrt x}\mathrm dy\,\mathrm dx = 7\int_0^1y\bigg|_{y=x^2}^{y=\sqrt x}\,\mathrm dx \\\\ = 7 \int_0^1\left(\sqrt x-x^2\right)\,\mathrm dx \\\\ = 7 \left(\frac23x^{3/2}-\frac13x^3\right)\bigg|_{x=0}^{x=1} = 7\left(\frac23-\frac13\right) = \boxed{\frac73}[/tex]
Suppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested in how much time workers spend per day on personal calls, emails, and social networking websites, as well as how much time they spend socializing with coworkers versus actually working.
The most recent census provides data for the entire population Of U.S. workers on variables such as travel time to work, time spent at work, and break time at work. The census, however, does not include data on the variables you are interested in, so you obtain a random sample of 82 full-time workers in the United States and ask about personal calls, e-mails, and so forth. You are curious about how your sample compares with the census, so you also ask the workers the same questions about work that are asked in the census.
Suppose the mean break time per day from the most recent census is 29.6 minutes, with a standard deviation of 16.0 minutes. Your sample of 82 U.S. workers provides a mean break time per day of 31.9 minutes with a sample standard deviation of 22.4 minutes.
Organize this information by completing the following table.
μ = _________ M= __________
σ= _________ s= ___________
σM = _______ sM = _________
Answer:
lol
Step-by-step explanation:
Now don't get us wrong – not all of these answers raise this excellent question
The value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.
It is given that the mean break time per day from the most recent census is 29.6 minutes with a standard deviation of 16 minutes.
It is required to organize the information in a table if the sample size is 82.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z_{score}\frac{s}{\sqrt[]{n} }[/tex]
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm \sigma_m= \frac{\sigma^2}{n}[/tex]
We have,
[tex]\rm \sigma = 16 \ and \ n = 82[/tex]
[tex]\rm \sigma_m= \frac{16^2}{82}[/tex]
[tex]\rm \sigma_m= 3.121[/tex]
For [tex]\rm S_m[/tex]
[tex]\rm S_m = \frac{s}{\sqrt{n} }[/tex]
We have,
s = 22.4 and n = 82
[tex]\rm S_m = \frac{22.4}{\sqrt{82} }[/tex]
[tex]\rm S_m = 2.473[/tex]
Thus, the value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.
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26) What is the perimeter of a rectangle whose
lengths are 9x + 5 and widths are 7x + 2?
Answer:
32х+14
Step-by-step explanation:
[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]
Answer:
32x + 14
Step-by-step explanation:
The opposite sides of a rectangle are equal, so
perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis
= 18x + 10 + 14x + 4 ← collect like terms
= 32x + 14
One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63
Answer:
Step-by-step explanation:
$425-$300 = $125
$125/(40 hr) = $3.125/hr ≈ $3.13/hr
Find the value of x
A. 15
B. 6
C. 60
D. 10
Answer:
hmm observe the diagram carefully there are 2 arcs drawn which means angle BEC and angle KEC are equal so
6x + 24 = 10x
4x = 24
x = 6
BRAINLIEST PLS
The value of x in the given figure is 6.
Used the concept of an angle of the figure,
An angle is a combination of two rays (half-lines) with a common endpoint.
Given that,
A figure with two congruent triangles is shown in the figure.
Now by definition of congruency of triangles,
∠ BEC = ∠ CEK
Substitute given values,
[tex]6x + 24 = 10x[/tex]
Solve for x,
[tex]24 = 10x - 6x[/tex]
[tex]24 = 4x[/tex]
Divide both sides by 4;
[tex]x = 6[/tex]
Therefore, the value of x is 6.
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