The samples are defective is approximately 0.1534, or 15.34%.
To find the probability that all 7 compressors in the sample are defective. Use the formula for the probability of independent events,
⇒P(A and B and C and ...) = P(A) P(B) P(C) ...
In this case,
We want to find the probability that all 7 compressors in the sample are defective, which we can write as,
⇒ P(all defective) = P(defective) P(defective) P(defective) ... (7 times)
Since there are 7 defective compressors out of 21 total,
The probability that any one compressor is defective is 7/21.
So we can plug that into our formula,
⇒ P(all defective) = (7/21) (7/21) (7/21) ... (7 times)
Simplifying this expression, we get:
⇒ P(all defective) = (7/21)
= 0.0022
So the probability that all 7 compressors in the sample are defective is approximately 0.0022, or 0.22%.
To find the probability that none of the 7 compressors in the sample are defective. We can use a similar approach, but instead of multiplying probabilities, multiplying complements.
The complement of a probability is the probability that the event does not occur, so,
⇒ P(not defective) = 1 - P(defective)
Using this formula,
We can write the probability that none of the compressors in the sample are defective as,
⇒ P(none defective) = P(not defective) P(not defective) P(not defective) ... (7 times)
Since there are 14 non-defective compressors out of 21 total, the probability that any one compressor is not defective is 14/21.
So we can plug that into our formula:
⇒ P(none defective) = (14/21) (14/21) (14/21) ... (7 times)
Simplifying this expression, we get:
⇒ P(none defective) = (14/21)
= 0.1534
So the probability that none of the 7 compressors in the sample are defective is approximately 0.1534, or 15.34%.
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The complete question is:
A factory received a shipment of 21 compressors, and the vendor who sold the items knows there are 7 compressors in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the compressors in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 7 compressors is selected, find the probability that all in the sample are defective. If a sample of 7 compressors is selected, find the probability that none in the sample are defective.
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link
Answer:
use ma th wa y (its all together)
Step-by-step explanation:
Answer:
10. The number of cupcakes Sheldon would have to buy to recieve the same number of cupcakes in a package would be 30 cupcakes in a package.
Step-by-step explanation: Find the least common denominator (LCD) of six and ten which is, 30.
11. The greatest number of necklaces Samuel would have to make is four.
Step-by-step explanation: Divide 148 necklaces by 36 strings and the answer will be four necklaces.
12. The greatest length, in feet, of each piece of ribbon Karen, would have to cut is six feet.
Step-by-step explanation: Find the greatest common denominator (GCD) of 18 and 12 which is, six.
13. Find the least common denominator of five and three which is, 15 minutes.
Step-by-step explanation:
Jacob will finish his laps in these following minutes, supposing he starts at zero.
3 minutes, 6 minutes, 9 minutes, 12 minutes, 15 minutes...
That is, all instants of time which are multiples of three.
Betty
5 minutes, 10 minutes, 15 minutes, 20 minutes, 25 minutes, ...
That is, all instants of time which are multiples of five.
Factor completely:
4a^2+8a-140
Answer:
24a-140 is the correct answer
Step-by-step explanation:
4a²+8a-140
4a×4a=16a+8a-140
24a-140
Evaluate and Simplify the expression: 4 + 6p when p =3
Answer:22
Step-by-step explanation:
4+6p
4+6(3)
4+18
22
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. What is the charge on each sphere?
Two small metal spheres are 35. 1 cm apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n. The charge on each sphere \(Q = 1.4 \times 10^{-12}\) c.
What is coulombs law?According to coulombs law force between two charges is given by
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
Here, R is the distance between both the charges Q and q.
Two small metal spheres are 35. 1 cm apart.
The spheres have equal amounts of negative charge and repel each other with forces of magnitude 0. 0360 n.
We have given force F =0.036 N
R is the distance between both the charges which is given as 25 cm
So
\(F = \dfrac{1}{4\pi \epsilon }\dfrac{Qq}{r^2}\)
\(0.036 = \dfrac{1}{4\times 3.14\times 8.85\times 10^{-12} }(\dfrac{Q^2}{35. 1})\)
\(Q = 1.4 \times 10^{-12}\) c
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Convert y-8.25=(x-3) into slope intercept form
Answer:
y = x + 5.25
Step-by-step explanation:
y - 8.25 = (x - 3)
y - 8.25 = x - 3
y = x + 5.25
Could you please give me brainliest for this? Thank you!
Answer:
y = x + 5.25
Step-by-step explanation:
y - 8.25 = x - 3 Add 8.25 to both sides of the equation
y = x + 5.25
I need help finding the missing side.
Answer:
x ≈ 25.1
Step-by-step explanation:
Using the cosine ratio in the right triangle, that is
cos64° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{11}{x}\) ( multiply both sides by x )
x × cos64° = 11 ( divide both sides by cos64° )
x = \(\frac{11}{cos64}\) ≈ 25.1 ( to the nearest tenth )
If f(x) = 4x + 5,, determine f(-2).a. -7/4b. 13c. -3d. 7
We are given the function: f(x) = 4x + 5
To find f(-2), we substitute the value of x with -2 to get:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
OPTION C
A single bathc of your mother resipe for slalsa call for 3 tomatos. 1/4 cup cilantro,1/2 onion, and spices. you are having a party and need 5 batches of salsa how many cups of onions do you need?
To produce five constructive batches of salsa, 2.5 cups of onion will be needed.
What is unitary method of problem solving?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.
Given, the number of onions required to produce one batch = 0.5 cup(s)
∴ The number of onions required to produce five batches = 0.5×5
= 2.5 cup(s)
Thus, to produce five constructive batches of salsa, 2.5 cups of onion will be needed.
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i decided to buy. car for $15,999. i have $1,000 saved for a down payment. how much of the cost of the car will i finance?
Answer:
On average, they get an APR of 2.89%, which obliges them to pay the following amounts monthly on a $15,000 loan: 12 months. $1269.25.
Step-by-step explanation:
Convert 8 cubic meters into liters.
Answer:
8000 is the right answer 100%
Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31. 25, and the trout costs $0. 20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of trout?
The combined cost of 1 pound of salmon and 1 pound of trout is $16.60
What is equation?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.
The expression on the left and the expression on the right are shown to be equal in reference to one another.
Let x be the cost per pound of salmon and y be the cost per pound of trout.
Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25
2.5 × x + 1.25× y = $31.25
2.5x + 1.25y = 31.25
The trout costs $0.20 per pound less than the salmon.
y = x - 0.20
hence
2.5x + 1.25y = 31.25
2.5y + 1.25(x - 0.20) = 31.25
2.5y + 1.25x - 0.25 = 31.25
2.5x + 1.25x = 31.25 + 0.2
x = 31.5/3.75
x = $8.4
The cost per pound of salmon be represented by x = $8.4
y = x - 0.20
y = 8.4 - 0.20
y = $8.2
The cost per pound of trout be represented by y = $8.2
The cost of a pound of salmon and trout is:
= $8.4 + $8.2
= $16.60
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A survey was given to a random sample of 300 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 49% of the people said they preferred Candidate A. Determine a 95% confidence interval for the
percentage of people who prefer Candidate A, rounding values to the nearest tenth.
The 95% confidence interval for the percentage of people who prefer Candidate A is given as follows:
(43.3%, 54.7%).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters for this problem are given as follows:
\(n = 300, \pi = 0.49\)
Hence the lower bound of the interval is of:
\(0.49 - 1.96\sqrt{\frac{0.49(0.51)}{300}} = 0.433\)
The upper bound of the interval is of:
\(0.49 + 1.96\sqrt{\frac{0.49(0.51)}{300}} = 0.547\)
As a percentage, the proportion is multiplied by 100%, hence the interval is given as follows:
(43.3%, 54.7%).
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A store is advertising a 25% off sale. Mikale purchases a swimming pool for $225. What was the original price of the pool?
A.
$450.75
B.
$300.00
C.
$655.50
D.
$281.25
Answer:
B
Step-by-step explanation:
Shannon dreams of becoming the national spelling bee champion. She can already spell a lot of the words on her study list, but she needs to learn even more. This table shows the relationship between the time (in hours) that Shannon spends studying, x, and the total number of words on the study list that she can spell, y. x (hours) y (words) 1.1 93 1.3 95 1.6 98 1.8 100 According to the values in the table, do x and y have a proportional relationship? yes no
According to the values in the table, no, x and y does not have a proportional relationship. Therefore, the correct answer option is: B. no.
What is a proportional relationship?In Mathematics, a proportional relationship is a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x represent the time (in hours).k is the constant of proportionality.y represent the total number of words.Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values in this table as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 93/1.1 ≠ 95/1.3 ≠ 98/1.6 ≠ 100/1.8
Since the constant of proportionality (k) for the relationship between the x-values and y-values are different, we can logically deduce that this is not a proportional relationship.
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You can solve the equation 12 times 34 in at least 4 different ways .
We have the following equation
\(12\times34=408\)We can see that the factors of 12 and 34 are, respectively,
\(\begin{gathered} \text{factors of 12: 1,2,3,4,6,12} \\ \text{factors of 34:1,2,17,34} \end{gathered}\)Then, the answer is:
I can solve the equation 12 times 34 using
\(\begin{gathered} 12\times2\times17 \\ 2\times6\times34 \\ 2\times6\times2\times17 \\ \text{and} \\ 3\times4\times34 \end{gathered}\)The product is 408
Consider the following primal problem:
Maximize
subject to:
z=7x
1
−5x
2
−2x
3
x
1
−x
2
+x
3
=10
2x
1
+x
2
+3x
3
≤16
3x
1
−x
2
−2x
3
≥−5
x
1
≥0,x
2
≤0,x
3
unrestricted in sign
Write down the dual problem of the above primal problem.
The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.
The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.
In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.
To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.
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Tìm min: 4 căn x -5/ 3 căn x+2
Answer:
bgyuhjvy;uhclgcxfghvmdxultgjvffgxfbc hgv
Step-by-step explanation:
vgfdhvczczxcgfzdsdvcxfdghcbcd
Answer please ASAP!!!!!!
====================================================
Work Shown:
r = 3 is the radius of the circular base
h = 12 is the height of the cylinder
pi = 3.14 approximately
SA = surface area of the cylinder
SA = 2pi*r^2 + 2pi*r*h
SA = 2*3.14*3^2 + 2*3.14*3*12
SA = 282.6
How to find factors of any numbers?
Answer:Find all the numbers less than or equal to the given number.
Divide the given number by each of the numbers.
The divisors that give the remainder to be 0 are the factors of the number.
Step-by-step explanation:Find all the numbers less than or equal to the given number.
Divide the given number by each of the numbers.
The divisors that give the remainder to be 0 are the factors of the number.
here ya go brainly solve it rn
Answer:
y=x+1
Step-by-step explanation:
Here, the c and b values have a constant difference of 1 so we have a linear equation in the form of
y=mx+b
The rule is add 1 to b as c increases 1 as well.
The equation is
We know we have a slope of 1, y intercept is unknown, but we know it has point (2,3) so we can use
\(y - 3 = 1(x - 2)\)
\(y - 3 = x - 2\)
\(y = x + 1\)
The equation is
\(y = x + 1\)
Carrie earns $17.40 per hour. How much will Carrie earn after working 10.25 hours?
Answer:
178.35
Step-by-step explanation:
hourly rate × hours worked
17.40 × 10.25
Jada is using a pyramid-shaped piece of foam with the dimensions shown below for a model she is making. She has to paint the triangular surfaces for her model. The slant height of each triangular face is 9mm. The base will NOT be painted. Find the SURFACE AREA of the pyramid that has to be painted.
Answer:
SA=118.14
Step-by-step explanation:
idek how to explain this-
An English teacher has equal numbers of fiction, literature, and poetry books. Each day, she randomly selects one book to read from. She designs a simulation to estimate the probability that the next three books she selects are all literature. Which simulation design could she use to estimate the probability?
Using probability concepts, it is found that she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.
For each book she selects, there are only two possible outcomes, either it is a literature book, or it is not. The probability of a book selected being a literature book is independent of any other book, hence, the binomial distribution is used to solve this question.
Binomial probability distribution\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Next three books selected, hence \(n = 3\).She has an equal number of fiction, literature, and poetry books, hence, the probability of each book selected being a literature book is \(p = \frac{1}{3}\)Hence, she could use a binomial distribution with \(n = 3\) and \(p = \frac{1}{3}\) to estimate the probability that the next three books she selects are all literature.
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Answer:
Number Cube
Let 1, 6= Literature
Let 2, 4= Fiction
Let 3, 5= Poetry
Roll the cube 3 times, Repeat
It has to be equal probability for all three
Find the volume of the composite figure formed by a hemisphere with the radius
r = 10 cm and a cube with the side length L=
20 cm.
Answer:
8209.44
Step-by-step explanation:
CUBE: 20x20x20=8000
HEMISPHERE=2/3\(\pi\)r²=
2/3\(\pi\)(10)²=209.44
8000+209.44=8209.44
(1 point) a poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate. (a) find a 95% confidence interval for p.
Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).
In the given question,
A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.
We have to find a 95% confidence interval for p.
From the question, x=302, n=525
So estimation point,
P=x/n
P=302/525
P=0.575
Now the z value of 95% confidence interval is 1.960 using the standard z table.
Margin of Error (E)=z×√{P(1−P)}/n
Now putting the value
E=1.960×√{0.575(1−0.575)}/525
E=1.960×√(0.575×0.425)/525
E=1.960×√0.244/525
E=1.960×√0.000465
E=1.960×0.0216
E=0.0423
At 95% confidence interval for p is
P−E ≤ p ≤ P+E
Now putting the value
0.575−0.0423≤ p ≤0.575+0.0423
0.5327≤ p ≤0.6173
Hence, a 95% confidence interval for p is (0.5327,0.6173).
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I need help with this please! It’s due tonight and I don’t know.
Answer:
b
Step-by-step explanation:
A social networking site currently has 40,912 active members per month, but that figure is dropping by 5% with every month that passes. How many active members can the site expect to have in 10 months?
Answer:
24496
Step-by-step explanation:
40912 * (1-5%) ^10 = 24495.5
becuase they are humans, so round up to 24496
A wheatfarmer is converting to com because he believes that com is a more lucrative crop. It is not feasible for him to convert all his creace to com at onceHe is farming 100 acres of com in the current year and is increasing that number by 30 acres per year. As he becomes more experienced in growing com his output increas. He currently harvests 130 buhof com per acre. But the yield be increasing by buhol per acre per year. When both the increasing berage and the increasing yield are considered, how rapidly Withe total number of but of corn currently increasing bushes per year
The rate at which the total number of bushels of corn currently increases per year depends on the value of "b", which represents the annual increase in yield per acre. If the yield per acre is not increasing (i.e., b = 0), then the rate of increase is a constant 1300 bushels per year.
Let's call the total number of acres the farmer is farming in corn in a given year as "a". We know that initially, a = 100 acres, and that it increases by 30 acres per year. So, in general:
a = 100 + 30t
where "t" is the number of years since the farmer started converting to corn.
Now, let's call the yield in bushels per acre in a given year as "y". We know that initially, y = 130 bushels per acre, and that it increases by "b" bushels per acre per year. So, in general:
y = 130 + bt
Finally, we can calculate the total number of bushels of corn produced in a given year by multiplying the number of acres by the yield per acre:
bushels per year = a * y
Substituting the expressions we have for "a" and "y", we get:
bushels per year = (100 + 30t) * (130 + bt)
Expanding this expression, we get:
bushels per year = 13000 + 1300t + 3900bt + 30tb
Now we can differentiate this expression with respect to time to find how rapidly the total number of bushels of corn currently increases per year:
d(bushels per year)/dt = 1300 + 3900b + 30b
Simplifying, we get:
d(bushels per year)/dt = 1300 + 3930b
So the rate at which the total number of bushels of corn currently increases per year depends on the value of "b", which represents the annual increase in yield per acre. If the yield per acre is not increasing (i.e., b = 0), then the rate of increase is a constant 1300 bushels per year. If the yield per acre is increasing, then the rate of increase will be greater than 1300 bushels per year, and the rate of increase will depend on the value of "b".
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what is 16.281 rouned to the nearest tenth
Answer:
16.3
Step-by-step explanation:
The tenth place is right after the decimal, afterwards, its hundredths and then thousandths. The number after the tenth's place is 8. Since the number is 5 and above, you round up and add 1 to the tenths place to get 16.3. If the hundredths was 4 and below it would round to 2.
Brainliest would be appreciated!
Answer:
The answer is 16.3
Step-by-step explanation:
what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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