Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?

Answers

Answer 1

Answer:

0.121

Step-by-step explanation:

From the given information:

Let X be a hypergeometric random variable. i.e X \(\sim\) h (x;:6,7,12)

To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:

\(\mu_x = E(X)\)

\(\mu_x = 6 \times \dfrac{7}{12}\)

\(\mu_x =1 \times \dfrac{7}{2}\)

\(\mu_x =3.5\)

The standard deviation is :

\(\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}\)

\(\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}\)

\(\sigma _x = \sqrt{\dfrac{35}{44}}\)

\(\sigma _x = 0.892\)

However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :

\(X \geq \mu_x +\sigma_x\)

\(X \geq 3.5 +0.892\)

\(X \geq 4.392\)

\(X \geq 5\)

\(P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)\)

\(P(X \geq \mu_x + \sigma_x ) = 0.121\)


Related Questions

for time, , in hours, , a bug is crawling at a velocity, , in meters/hour given by use to estimate the distance that the bug crawls during this hour. use left- and right-hand riemann sums to find an overestimate and an underestimate. then average the two to get a new estimate.

Answers

The distance, which is determined by integrating the velocity function over the specified time interval, is calculated as 2.98 and 2.58.

We will use left Riemann sum and right Riemann sum to obtain an overestimate and an underestimate. The definite integral, which in this case is a distance, can also be approximated using the average of these estimates.

1 ) The distance the bug crawls obtained by integrating the velocity function v(t) = 4/1+t over the inclined time interval is

\(\int\limits^1_0 \, \frac{4}{1+t} dt.\)

Splitting the interval [0, 1] into sub intervals of length Δt = 0.2, we get the Riemann sum L and the right Riemann sum R:

L = ∑⁴ v(ti) Δt

L = (0.2) (v(0) + v(0.2) + v(0.4) + v(0.6) + v(0.8))

L ≈ 2.98

R = ∑⁵ v(ti) Δt

R = (0.2) (v(0.2) + v(0.4) + v(0.6) + v(0.8) + v(1.0))

R ≈ 2.58

2 )The average of these two Riemann sums gives us a new estimate for the distance :

AVG = (2.98 + 2.58)/2

=2.78.

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PLEASE HELP NO LINKS NO STEALING POINTS!!

PLEASE HELP NO LINKS NO STEALING POINTS!!

Answers

Line 1 = 1/4

Line 2 = -4

Line 3 = -1/3

[graph attached, red is line 1, blue is line 2, and green is line 3]

PLEASE HELP NO LINKS NO STEALING POINTS!!

Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica

Answers

Answer: D

Step-by-step explanation:

2x - 14 + x= 46

3x = 60

x= 20

Write 128 as a product of its prime factors

Answers

Answer:

The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Since, the prime factors of 120 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.

Can someone please find me the slope?

Can someone please find me the slope?

Answers

Answer:

\(-\frac{6}{2}\) so it should be -3 but I do not see that option

Step-by-step explanation:

Rember that slope is rise over run

Count down 6 from (1,6) and over 2 to get to (3,0) which results in 6/2. The slope is going down so it is negative.

(you said "Can someone please find me the slope?" so I just wanted to say I can help you find it lol)

Karen has 1/2 cup of sugar. She is baking cookies and needs 1 1/3 cups for a recipe. How much more sugar does she need If she wants to triple the recipe?

Answers

Answer:

1 1/3 x 1/2 = 4/3 x 1/2 =4/6 =2/3 cups is this right

Step-by-step explanation:

Carl's grandfather is exactly 5 times older than Carl.
Which three statements must be true?​

Answers

Answer:

g = 5c

5*c = g

g/5 = c

Step-by-step explanation:

g = grandfather

c = carl

Answer:

The age of Carl's grandfather is a composite number.

Carl's age is a factor of the age of his grandfather.

The number 5 is a factor of the age of Carl's grandfather.

AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo

Answers

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

help me please i dont get it :(

help me please i dont get it :(

Answers

Answer:

d

Step-by-step explanation:

the square root of 121 is 11

the square root of 64 is 8

soooo

(11x+8y)(11x-8y) makes the most sense

Answer:

D. (11x + 8y) (11x - 8y)

Step-by-step explanation:

Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²

Step 2: The difference of squares can be factored using the rule:

a² - b² = (a - b) (a + b)

(11x - 8y) (11x + 8y)

or

you can write it as

(11x + 8y) (11x - 8y)

This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.

Answers

Answer:

A), C), E)

Step-by-step explanation:

Which of these tables represents a function

Which of these tables represents a function

Answers

W

a system can only be a function if there are no more than one value of y for each value of x. if a value of x is repeated twice or more in a table, it means it is not a function.

Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL

Answers

Answer:

The correct option is AAS.

Step-by-step explanation:

Consider the diagram below.

It is provided that The triangles △ WXZ and △ YZX share a side XZ.Angles ∠WXZ and ∠XZY are right angles.Angles ∠XWZ and ∠XYZ are congruent.

If two angles are congruent it implies that they are same in degrees or radians.

So, the angles ∠XWZ and ∠XYZ are equal.

So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.

Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.

Thus, the correct option is AAS.

Which congruence theorem can be used to prove WXZ YZX? Triangles W X Z and Y Z X share side X Z. Angles

The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS

We are told that;

ΔWXZ and ΔYZX share side XZ

∠WXZ and ∠XZY are right angles

∠XWZ and ∠XYZ are congruent

Now, from the given parameters, we can say that from reflexive property of congruence, XZ is congruent to itself and thus, we have one side of both triangles that is congruent.

Secondly, since ∠WXZ and ∠XZY are right angles, it means they are equal and therefore congruent to each other.

Lastly, we are told that ∠XWZ and ∠XYZ are congruent.

In summary, we have 2 corresponding angles and one corresponding side that are equal but the corresponding side is not with the included angles and as such the triangles are congruent by AAS Congruency.

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the test statistic calculated in the process of a kruskall-wallis test is h.
T/F

Answers

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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arrange into ascending order 1/3,3/4,1/2​

Answers

Answer:

1/3, 1/2, 3/4

Step-by-step explanation:

Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Find the least amount of money that Marco still needs to save before he can buy the smartphone and accessories

Answers

Marco will need to save up another 420 dollars

Suppose you draw one card, put it back (and re-shuffle), and then draw another. What is the probability that the cards are of different suits

Answers

The probability that the two cards drawn are of different suits is approximately 0.3744 or 37.44%.

The probability that the first card drawn is of a particular suit (say hearts) is 13/52, because there are 13 hearts in the deck. The probability that the second card drawn is of a different suit (say diamonds) is 39/52, because there are 13 cards in each of the three remaining suits.

So, the probability that the first card is a heart and the second card is a diamond is (13/52) × (39/52) = 507/2704.

Similarly, the probability that the first card is a diamond and the second card is a heart is also (13/52) × (39/52) = 507/2704.

The probability that the two cards are of different suits is the sum of these two probabilities:

(507/2704) + (507/2704) = 1014/2704 ≈ 0.3744

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Question

Assuming you are drawing from a standard deck of 52 cards with 13 cards in each of the 4 suits (hearts, diamonds, clubs, and spades), the probability that the two cards drawn are of different suits can be calculated as follows:

Hi guys could someone help me with this please?
Please help! So I could finish and go back to face to face...
Thanks!

Hi guys could someone help me with this please?Please help! So I could finish and go back to face to

Answers

Answer:

Step-by-step explanation:

a.)

there are 52 cards, 13 are hearts= 13/52 = 1/4

b.)

Drawing a 2= 4/52

Drawing a king= 4/52

Because the draws are independent multiply them (they're independent because we're drawing with replacement)

(4/52)*(4/52)= 1/169

c.)

Black card= 1/2

Face card= 12/52

(these are also indepednent) (1/2)*(12/52)= 3/26

d.)

Drawing a spade= 13/52

Drawing a black card (after drawing a spade)= 25/51

(25/51)*(13/52)=  25/104

what are chance and assignable causes of variability

Answers

The chances causes of variability is an inherent process while assignable causes of variability is not an inherent process.

Chance causes of variability,

Also known as common causes of variability.

Are inherent sources of variation in a process.

Cannot be easily attributed to specific factors or events.

Are the normal sources of variation that are always present in a process.

Are often caused by random fluctuations in inputs, small changes in equipment or environment, or natural variation in materials used.

Are considered to be "within the control limits" of a process.

Are not a cause for concern as long as they do not result in a process going out of control.

Assignable causes of variability,

Also known as special causes of variability.

Are sources of variation in a process that are not inherent in the process.

Can be easily attributed to specific factors or events.

Are typically unusual or unexpected events that occur in a process and cause it to behave in an abnormal way.

Examples include equipment failures, operator errors, changes in process inputs or environment, and other abnormal events.

Are considered to be "outside the control limits" of a process.

Require immediate attention to identify and eliminate the root cause in order to bring the process back into control.

Therefore, chances causes the inherent while assignable causes of variability are not inherent.

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what are some issues you must consider when choosing the appropriate number of treatment conditions for your experiment? what does it mean to have conditions that are proportional to each other?

Answers

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

A suitable number of treatment conditions for an experiment should be able to identify important differences between them. If there are too few treatment conditions, differences may not be identified, while if there are too many treatment conditions, resources may be wasted, making it difficult to obtain meaningful results.Another factor to consider is the need for replicability. The more treatment conditions that are used, the more difficult it is to replicate the experiment. A suitable number of treatment conditions should allow for replicability, meaning that the experiment can be repeated with similar results.To have proportional treatment conditions means that the levels of the independent variable (the treatment) are proportionate. This means that the differences between the levels of the independent variable are proportional to each other. This is important because it ensures that the treatment conditions are balanced and that the results obtained are valid. If the levels of the independent variable are not proportional, it can be difficult to interpret the results and draw conclusions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

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What is the area of this figure?
6 mi
5 mi
2 mi
2 mi
11 mi
9 mi
7 mi

What is the area of this figure?6 mi5 mi2 mi2 mi11 mi9 mi7 mi

Answers

Answer:

I think its 110mi squared

Answer:

11o mi Squared

Step-by-step explanation:

Triangle A B C. The length of side A C is 10, B C is 6, and A B is 8. Triangle A prime B prime C prime. Side A prime C prime has a length of 5.
Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'?
Options:
3
4
5
16

Answers

The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

What is scale factor

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5

side A'B' = 8 × 1/2

side A'B' = 4

Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.

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Answer:

the answer is B, 4. :)

Write an expression which is equivalent to w(4w3 + 8w4) – (5w3 – 2w5)

Answers

Answer:

4w4 + 10w5 - 5w3

Step-by-step explanation:

Why We Sleep: The New Science of Sleep and Dreams is a popular science book about sleep by the neuroscie​

Answers

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

How many hours of gaming a day is healthy?

Answers

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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Each side of a square sandbox is 36 inches long. What is the area of the sandbox

Answers

Answer: 1296 inches

Explanation:

Given: Side of sandbox = 36 inches
To Find: Area of sandbox
Area of square sandbox = s*s
= 36*36
= 1,296 inch

Hope it helps you...

The area of the square sandbox is 1,296 square inches

What is  area of square?

The area of a square is the measure of the space or surface occupied by it. It is equal to the product of the length of its two sides. Since the area of a square is the product of its two sides, the unit of the area is given in square units.

Area of a square = Side × Side

                            =  \(Side ^{2}\)

According to the question

Side of a square sandbox =  36 inches

Therefore,

The area of the square sandbox =  \(Side ^{2}\)

                                                      =  \((36)^{2}\)

                                                      =  1,296 square inches

Hence, the area of the square sandbox is 1,296 square inches

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A bouncy ball is dropped such that the height of its first bounce is 6 feet and each successive bounce is 60% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).


sorry for the mess

Answers

Answer:

The height of the 7th bounce of the ball is approximately 0.28 feet, rounded to the nearest tenth would be 0.3 feet.

Step-by-step explanation:

To find the height of the 7th bounce of the ball, we need to calculate the height of each bounce starting from the first. We know that the first bounce has a height of 6 feet. Each subsequent bounce will be 60% of the previous bounce's height. So we can use the following formula:

height of nth bounce = 0.6^(n-1) * 6

where n is the number of the bounce we want to find the height of.

For the 7th bounce, we have:

height of 7th bounce = 0.6^(7-1) * 6

height of 7th bounce = 0.6^6 * 6

height of 7th bounce = 0.046656 * 6

height of 7th bounce ≈ 0.28 feet

So the height of the 7th bounce of the ball is approximately 0.28 feet, rounded to the nearest tenth would be 0.3 feet.

Answer: 0.279936 ft or 0.3 ft rounded

Step-by-step explanation: Use an exponential function to model this equation. In this case use \(6(0.6)^(x-1)\) where x represents the number of bounces. The -1 is there because it starts at 6 feet after the first bounce. Plug in 7 for x and the result is above.

10 points
help me and hurry, please

10 pointshelp me and hurry, please

Answers

The probability in all given conditions is 1/4.

According to the statement

Number of coin tossed = 3

Total outcomes = 8

Now, we have to find the probabilities on different conditions.

Probability of a head on each of the last two tosses

Probability = A head on each of the last two tosses/ total outcomes

Probability = 2/8

Probability = 1/4.

Probability of alternating tale and head

Probability = alternating tale and head / total outcomes

Probability = 2/8

Probability = 1/4.

Probability of a no tails on each of the last two tosses

Probability = A No tails on each of the last two tosses/ total outcomes

Probability = 2/8

Probability = 1/4.

So, The probability in all given conditions is 1/4.

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please help me with these questions????​

please help me with these questions????

Answers

5: THEO = what should happen
EXP = Wha actually happens.
please help me with these questions????



State the assumption you would make to start an indirect proof of each statement.

PQ ⊕ ST

Answers

To start an indirect proof of the statement PQ ⊕ ST, the assumption would be that PQ and ST are both true.

An indirect proof, also known as proof by contradiction, begins by assuming the opposite of what we want to prove and showing that it leads to a contradiction. In the case of the statement PQ ⊕ ST (which represents the exclusive disjunction or XOR between PQ and ST), we want to prove that either PQ or ST is true, but not both.

To begin the indirect proof, we assume that both PQ and ST are true. This assumption implies that either PQ is true and ST is false, or PQ is false and ST is true. However, since PQ and ST are mutually exclusive in an XOR statement, it follows that both PQ and ST cannot be simultaneously true. This creates a contradiction with our assumption, as we assumed both PQ and ST to be true.

By reaching a contradiction, we can conclude that our assumption is incorrect. Therefore, we can deduce that either PQ or ST is true, but not both. This indirect proof establishes the validity of the statement PQ ⊕ ST.

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A customer wants to tip 15% on a restaurant bill that is $35.99. How much gratuity did the customer leave?​

Answers

35.99 times .15 = about 5.40
The customer left $5.40 gratuity.
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